From 838e5be25739f73c8c8d001e087d329c28171e0b Mon Sep 17 00:00:00 2001
From: Stefan Neukamm <stefan.neukamm@tu-dresden.de>
Date: Wed, 13 Sep 2023 09:18:09 +0200
Subject: [PATCH] added various experimental setups
---
experiment/PAC/PAC GAMM.py | 64 +
experiment/PAC/PAC.py | 67 +
experiment/PAC/PAC_caseI.py | 168 +
experiment/PAC/PAC_caseII.py | 149 +
.../PAC/__pycache__/PAC.cpython-310.pyc | Bin 0 -> 1501 bytes
.../elasticity_toolbox.cpython-310.pyc | Bin 0 -> 3565 bytes
...isotrop_orthotrop_rotation.cpython-310.pyc | Bin 0 -> 1660 bytes
.../isotrop_rotation.cpython-310.pyc | Bin 0 -> 1529 bytes
...ood_european_beech_gedreht.cpython-310.pyc | Bin 0 -> 3000 bytes
experiment/PAC/auswertung_caseI.py | 127 +
experiment/PAC/auswertung_caseII.py | 122 +
experiment/PAC/cellsolver.parset | 96 +
experiment/PAC/elasticity_toolbox.py | 123 +
experiment/PAC/results_caseI/0/BMatrix.txt | 3 +
experiment/PAC/results_caseI/0/QMatrix.txt | 9 +
.../1 => PAC/results_caseI/0}/output.txt | 42 +-
experiment/PAC/results_caseI/0/parameter.txt | 1 +
experiment/PAC/results_caseI/1/BMatrix.txt | 3 +
experiment/PAC/results_caseI/1/QMatrix.txt | 9 +
experiment/PAC/results_caseI/1/output.txt | 1 +
experiment/PAC/results_caseI/1/parameter.txt | 1 +
experiment/PAC/results_caseI/2/BMatrix.txt | 3 +
experiment/PAC/results_caseI/2/QMatrix.txt | 9 +
experiment/PAC/results_caseI/2/output.txt | 49 +
experiment/PAC/results_caseI/2/parameter.txt | 1 +
.../PAC/results_caseI/kappa_simulation.txt | 1 +
experiment/PAC/results_caseII/0/BMatrix.txt | 3 +
experiment/PAC/results_caseII/0/QMatrix.txt | 9 +
experiment/PAC/results_caseII/0/output.txt | 49 +
experiment/PAC/results_caseII/0/parameter.txt | 1 +
experiment/PAC/results_caseII/1/BMatrix.txt | 3 +
experiment/PAC/results_caseII/1/QMatrix.txt | 9 +
experiment/PAC/results_caseII/1/output.txt | 49 +
experiment/PAC/results_caseII/1/parameter.txt | 1 +
experiment/PAC/results_caseII/2/BMatrix.txt | 3 +
experiment/PAC/results_caseII/2/QMatrix.txt | 9 +
experiment/PAC/results_caseII/2/output.txt | 49 +
experiment/PAC/results_caseII/2/parameter.txt | 1 +
.../PAC/results_caseII/kappa_simulation.txt | 1 +
.../PAC/results_caseI_gridleve4/0/BMatrix.txt | 3 +
.../PAC/results_caseI_gridleve4/0/QMatrix.txt | 9 +
.../PAC/results_caseI_gridleve4/0/output.txt | 49 +
.../results_caseI_gridleve4/0/parameter.txt | 1 +
.../PAC/results_caseI_gridleve4/1/BMatrix.txt | 3 +
.../PAC/results_caseI_gridleve4/1/QMatrix.txt | 9 +
.../results_caseI_gridleve4/1}/output.txt | 42 +-
.../results_caseI_gridleve4/1/parameter.txt | 1 +
.../PAC/results_caseI_gridleve4/2/BMatrix.txt | 3 +
.../PAC/results_caseI_gridleve4/2/QMatrix.txt | 9 +
.../PAC/results_caseI_gridleve4/2/output.txt | 1 +
.../results_caseI_gridleve4/2/parameter.txt | 1 +
.../kappa_simulation.txt | 1 +
.../theoretical/PolarPlotLocalEnergy.py | 103 +
.../elasticity_toolbox.cpython-310.pyc | Bin 0 -> 3563 bytes
.../theoretical_material.cpython-310.pyc | Bin 0 -> 1220 bytes
.../theoretical_material1.cpython-310.pyc | Bin 0 -> 1217 bytes
.../theoretical_material2.cpython-310.pyc | Bin 0 -> 1823 bytes
.../theoretical_material3.cpython-310.pyc | Bin 0 -> 1316 bytes
experiment/theoretical/auswertung_test1.py | 29 +
experiment/theoretical/auswertung_test2.py | 102 +
experiment/theoretical/auswertung_test3.py | 103 +
experiment/theoretical/cellsolver.parset | 95 +
experiment/theoretical/elasticity_toolbox.py | 123 +
experiment/theoretical/geometry_tmp/rve.pvsm | 8131 +++++++++++++++++
.../theoretical/results_test1/0/BMatrix.txt | 3 +
.../theoretical/results_test1/0/QMatrix.txt | 9 +
.../theoretical/results_test1/0/output.txt | 49 +
.../theoretical/results_test1/1/BMatrix.txt | 3 +
.../theoretical/results_test1/1/QMatrix.txt | 9 +
.../theoretical/results_test1/1/output.txt | 49 +
.../theoretical/results_test1/2/BMatrix.txt | 3 +
.../theoretical/results_test1/2/QMatrix.txt | 9 +
.../theoretical/results_test1/2/output.txt | 49 +
.../theoretical/results_test1/3/BMatrix.txt | 3 +
.../theoretical/results_test1/3/QMatrix.txt | 9 +
.../results_test1/3}/output.txt | 42 +-
.../results_test1/kappa_simulation.txt | 1 +
.../theoretical/results_test1/parameter.txt | 2 +
.../theoretical/results_test1/rve_half.jpeg | Bin 0 -> 72906 bytes
.../theoretical/results_test2/0/BMatrix.txt | 3 +
.../theoretical/results_test2/0/QMatrix.txt | 9 +
.../theoretical/results_test2/0/output.txt | 49 +
.../results_test2/0/parameter2.txt | 2 +
.../theoretical/results_test2/1/BMatrix.txt | 3 +
.../theoretical/results_test2/1/QMatrix.txt | 9 +
.../theoretical/results_test2/1/output.txt | 49 +
.../theoretical/results_test2/2/BMatrix.txt | 3 +
.../theoretical/results_test2/2/QMatrix.txt | 9 +
.../theoretical/results_test2/2/output.txt | 49 +
.../results_test2/kappa_simulation.txt | 1 +
.../theoretical/results_test2/parameter.txt | 2 +
.../theoretical/results_test2/rve_2_fach.jpeg | Bin 0 -> 60628 bytes
.../theoretical/results_test2/rve_4_fach.jpeg | Bin 0 -> 42589 bytes
.../theoretical/results_test3/0/BMatrix.txt | 3 +
.../theoretical/results_test3/0/QMatrix.txt | 9 +
.../theoretical/results_test3/0/output.txt | 49 +
.../results_test3/kappa_simulation.txt | 1 +
.../theoretical/results_test3/parameter.txt | 2 +
.../results_test3/rve_diagonal.jpeg | Bin 0 -> 80845 bytes
experiment/theoretical/rve.jpeg | Bin 0 -> 112533 bytes
experiment/theoretical/test1.py | 144 +
experiment/theoretical/test2.py | 145 +
experiment/theoretical/test3.py | 144 +
.../theoretical/theoretical_material1.py | 44 +
.../theoretical/theoretical_material2.py | 85 +
.../theoretical/theoretical_material3.py | 48 +
.../theoretical_2/PolarPlotLocalEnergy.py | 102 +
.../elasticity_toolbox.cpython-310.pyc | Bin 0 -> 3565 bytes
.../theoretical_material.cpython-310.pyc | Bin 0 -> 1220 bytes
.../theoretical_material1.cpython-310.pyc | Bin 0 -> 1488 bytes
.../theoretical_material2.cpython-310.pyc | Bin 0 -> 1786 bytes
.../theoretical_material3.cpython-310.pyc | Bin 0 -> 1587 bytes
experiment/theoretical_2/auswertung_test1.py | 30 +
experiment/theoretical_2/auswertung_test2.py | 104 +
experiment/theoretical_2/auswertung_test3.py | 97 +
experiment/theoretical_2/cellsolver.parset | 95 +
.../theoretical_2/elasticity_toolbox.py | 123 +
.../theoretical_2/results_test1/0/BMatrix.txt | 3 +
.../theoretical_2/results_test1/0/QMatrix.txt | 9 +
.../theoretical_2/results_test1/0/output.txt | 49 +
.../theoretical_2/results_test1/1/BMatrix.txt | 3 +
.../theoretical_2/results_test1/1/QMatrix.txt | 9 +
.../theoretical_2/results_test1/1/output.txt | 49 +
.../theoretical_2/results_test1/2/BMatrix.txt | 3 +
.../theoretical_2/results_test1/2/QMatrix.txt | 9 +
.../theoretical_2/results_test1/2/output.txt | 49 +
.../theoretical_2/results_test1/3/BMatrix.txt | 3 +
.../theoretical_2/results_test1/3/QMatrix.txt | 9 +
.../theoretical_2/results_test1/3/output.txt | 49 +
.../results_test1/kappa_simulation.txt | 1 +
.../theoretical_2/results_test1/parameter.txt | 2 +
.../theoretical_2/results_test1/rve_half.jpeg | Bin 0 -> 72906 bytes
.../theoretical_2/results_test2/0/BMatrix.txt | 3 +
.../theoretical_2/results_test2/0/QMatrix.txt | 9 +
.../theoretical_2/results_test2/0/output.txt | 49 +
.../results_test2/0/parameter2.txt | 2 +
.../theoretical_2/results_test2/1/BMatrix.txt | 3 +
.../theoretical_2/results_test2/1/QMatrix.txt | 9 +
.../theoretical_2/results_test2/1/output.txt | 49 +
.../theoretical_2/results_test2/2/BMatrix.txt | 3 +
.../theoretical_2/results_test2/2/QMatrix.txt | 9 +
.../theoretical_2/results_test2/2/output.txt | 49 +
.../results_test2/kappa_simulation.txt | 1 +
.../theoretical_2/results_test2/parameter.txt | 1 +
.../results_test2/rve_2_fach.jpeg | Bin 0 -> 60628 bytes
.../results_test2/rve_4_fach.jpeg | Bin 0 -> 42589 bytes
.../theoretical_2/results_test3/0/BMatrix.txt | 3 +
.../theoretical_2/results_test3/0/QMatrix.txt | 9 +
.../theoretical_2/results_test3/0/output.txt | 49 +
.../theoretical_2/results_test3/RVE.jpeg | Bin 0 -> 80845 bytes
.../results_test3/kappa_simulation.txt | 1 +
.../theoretical_2/results_test3/parameter.txt | 2 +
experiment/theoretical_2/rve.jpeg | Bin 0 -> 112533 bytes
experiment/theoretical_2/test1.py | 144 +
experiment/theoretical_2/test2.py | 142 +
experiment/theoretical_2/test3.py | 144 +
.../theoretical_2/theoretical_material1.py | 63 +
.../theoretical_2/theoretical_material2.py | 83 +
.../theoretical_2/theoretical_material3.py | 67 +
experiment/wood-bilayer-variant/#readme.txt# | 12 +
experiment/wood-bilayer-variant/.gitignore | 0
.../PolarPlotLocalEnergy.py | 101 +
.../elasticity_toolbox.cpython-310.pyc | Bin 0 -> 3564 bytes
.../wood_european_beech.cpython-310.pyc | Bin 0 -> 2977 bytes
.../wood_inclusion.cpython-310.pyc | Bin 0 -> 3011 bytes
.../__pycache__/wood_square.cpython-310.pyc | Bin 0 -> 2966 bytes
.../wood_upper_laminated.cpython-310.pyc | Bin 0 -> 3071 bytes
.../cellsolver.parset.wood | 96 +
.../elasticity_toolbox.py | 123 +
experiment/wood-bilayer-variant/readme.txt | 0
.../results_inclusion/0/BMatrix.txt | 3 +
.../results_inclusion/0/QMatrix.txt | 9 +
.../results_inclusion/0}/output.txt | 42 +-
.../results_inclusion/0}/parameter.txt | 3 +-
.../results_inclusion/1/BMatrix.txt | 3 +
.../results_inclusion/1/QMatrix.txt | 9 +
.../results_inclusion/1}/output.txt | 44 +-
.../results_inclusion/1/parameter.txt | 5 +
.../results_inclusion/2/BMatrix.txt | 3 +
.../results_inclusion/2/QMatrix.txt | 9 +
.../results_inclusion/2}/output.txt | 44 +-
.../results_inclusion/2/parameter.txt | 5 +
.../results_inclusion/3/BMatrix.txt | 3 +
.../results_inclusion/3/QMatrix.txt | 9 +
.../results_inclusion/3/kappa_simulation.txt | 2 +
.../results_inclusion}/3/output.txt | 44 +-
.../results_inclusion/3/parameter.txt | 5 +
.../results_inclusion/kappa_simulation.txt | 2 +
.../results_laminated/0/BMatrix.txt | 3 +
.../results_laminated/0/QMatrix.txt | 9 +
.../results_laminated/0/output.txt | 49 +
.../results_laminated/0/parameter.txt | 5 +
.../results_laminated/1/BMatrix.txt | 3 +
.../results_laminated/1/QMatrix.txt | 9 +
.../results_laminated/1/output.txt | 49 +
.../results_laminated/1/parameter.txt | 5 +
.../results_laminated/2/BMatrix.txt | 3 +
.../results_laminated/2/QMatrix.txt | 9 +
.../results_laminated/2/output.txt | 49 +
.../results_laminated/2/parameter.txt | 5 +
.../results_laminated/3/BMatrix.txt | 3 +
.../results_laminated/3/QMatrix.txt | 9 +
.../results_laminated/3/kappa_simulation.txt | 1 +
.../results_laminated/3/output.txt | 49 +
.../results_laminated/3/parameter.txt | 5 +
.../results_laminated/4/BMatrix.txt | 3 +
.../results_laminated/4/QMatrix.txt | 9 +
.../results_laminated/4/output.txt | 49 +
.../results_laminated/4/parameter.txt | 5 +
.../results_laminated/5/BMatrix.txt | 3 +
.../results_laminated/5/QMatrix.txt | 9 +
.../results_laminated/5/output.txt | 49 +
.../results_laminated/5/parameter.txt | 5 +
.../results_laminated/kappa_simulation.txt | 1 +
.../wood-bilayer-variant/wood_inclusion.py | 154 +
.../wood_inclusion_test.py | 160 +
.../wood_upper_laminate_test.py | 164 +
.../wood_upper_laminated.py | 164 +
experiment/wood-bilayer/results/0/BMatrix.txt | 3 -
experiment/wood-bilayer/results/0/QMatrix.txt | 9 -
.../wood-bilayer/results/0/parameter.txt | 4 -
experiment/wood-bilayer/results/1/BMatrix.txt | 3 -
experiment/wood-bilayer/results/1/QMatrix.txt | 9 -
.../wood-bilayer/results/1/parameter.txt | 4 -
experiment/wood-bilayer/results/2/BMatrix.txt | 3 -
experiment/wood-bilayer/results/2/QMatrix.txt | 9 -
.../wood-bilayer/results/2/parameter.txt | 4 -
experiment/wood-bilayer/results/3/BMatrix.txt | 3 -
experiment/wood-bilayer/results/3/QMatrix.txt | 9 -
.../wood-bilayer/results/3/parameter.txt | 4 -
experiment/wood-bilayer/results/4/BMatrix.txt | 3 -
experiment/wood-bilayer/results/4/QMatrix.txt | 9 -
.../wood-bilayer/results/4/parameter.txt | 4 -
experiment/wood-bilayer/results/5/BMatrix.txt | 3 -
experiment/wood-bilayer/results/5/QMatrix.txt | 9 -
.../wood-bilayer/results/5/parameter.txt | 4 -
experiment/wood-bilayer/results/6/BMatrix.txt | 3 -
experiment/wood-bilayer/results/6/QMatrix.txt | 9 -
...Experimental_data_beech-beech-bilayers.ods | Bin 18897 -> 0 bytes
experiment/wood-bilayer/results/auswertung.py | 23 -
.../wood-bilayer/results/kappa_simulation.txt | 2 -
241 files changed, 14312 insertions(+), 284 deletions(-)
create mode 100644 experiment/PAC/PAC GAMM.py
create mode 100644 experiment/PAC/PAC.py
create mode 100644 experiment/PAC/PAC_caseI.py
create mode 100644 experiment/PAC/PAC_caseII.py
create mode 100644 experiment/PAC/__pycache__/PAC.cpython-310.pyc
create mode 100644 experiment/PAC/__pycache__/elasticity_toolbox.cpython-310.pyc
create mode 100644 experiment/PAC/__pycache__/isotrop_orthotrop_rotation.cpython-310.pyc
create mode 100644 experiment/PAC/__pycache__/isotrop_rotation.cpython-310.pyc
create mode 100644 experiment/PAC/__pycache__/wood_european_beech_gedreht.cpython-310.pyc
create mode 100644 experiment/PAC/auswertung_caseI.py
create mode 100644 experiment/PAC/auswertung_caseII.py
create mode 100644 experiment/PAC/cellsolver.parset
create mode 100644 experiment/PAC/elasticity_toolbox.py
create mode 100644 experiment/PAC/results_caseI/0/BMatrix.txt
create mode 100644 experiment/PAC/results_caseI/0/QMatrix.txt
rename experiment/{wood-bilayer/results/1 => PAC/results_caseI/0}/output.txt (61%)
create mode 100644 experiment/PAC/results_caseI/0/parameter.txt
create mode 100644 experiment/PAC/results_caseI/1/BMatrix.txt
create mode 100644 experiment/PAC/results_caseI/1/QMatrix.txt
create mode 100644 experiment/PAC/results_caseI/1/output.txt
create mode 100644 experiment/PAC/results_caseI/1/parameter.txt
create mode 100644 experiment/PAC/results_caseI/2/BMatrix.txt
create mode 100644 experiment/PAC/results_caseI/2/QMatrix.txt
create mode 100644 experiment/PAC/results_caseI/2/output.txt
create mode 100644 experiment/PAC/results_caseI/2/parameter.txt
create mode 100644 experiment/PAC/results_caseI/kappa_simulation.txt
create mode 100644 experiment/PAC/results_caseII/0/BMatrix.txt
create mode 100644 experiment/PAC/results_caseII/0/QMatrix.txt
create mode 100644 experiment/PAC/results_caseII/0/output.txt
create mode 100644 experiment/PAC/results_caseII/0/parameter.txt
create mode 100644 experiment/PAC/results_caseII/1/BMatrix.txt
create mode 100644 experiment/PAC/results_caseII/1/QMatrix.txt
create mode 100644 experiment/PAC/results_caseII/1/output.txt
create mode 100644 experiment/PAC/results_caseII/1/parameter.txt
create mode 100644 experiment/PAC/results_caseII/2/BMatrix.txt
create mode 100644 experiment/PAC/results_caseII/2/QMatrix.txt
create mode 100644 experiment/PAC/results_caseII/2/output.txt
create mode 100644 experiment/PAC/results_caseII/2/parameter.txt
create mode 100644 experiment/PAC/results_caseII/kappa_simulation.txt
create mode 100644 experiment/PAC/results_caseI_gridleve4/0/BMatrix.txt
create mode 100644 experiment/PAC/results_caseI_gridleve4/0/QMatrix.txt
create mode 100644 experiment/PAC/results_caseI_gridleve4/0/output.txt
create mode 100644 experiment/PAC/results_caseI_gridleve4/0/parameter.txt
create mode 100644 experiment/PAC/results_caseI_gridleve4/1/BMatrix.txt
create mode 100644 experiment/PAC/results_caseI_gridleve4/1/QMatrix.txt
rename experiment/{wood-bilayer/results/5 => PAC/results_caseI_gridleve4/1}/output.txt (63%)
create mode 100644 experiment/PAC/results_caseI_gridleve4/1/parameter.txt
create mode 100644 experiment/PAC/results_caseI_gridleve4/2/BMatrix.txt
create mode 100644 experiment/PAC/results_caseI_gridleve4/2/QMatrix.txt
create mode 100644 experiment/PAC/results_caseI_gridleve4/2/output.txt
create mode 100644 experiment/PAC/results_caseI_gridleve4/2/parameter.txt
create mode 100644 experiment/PAC/results_caseI_gridleve4/kappa_simulation.txt
create mode 100644 experiment/theoretical/PolarPlotLocalEnergy.py
create mode 100644 experiment/theoretical/__pycache__/elasticity_toolbox.cpython-310.pyc
create mode 100644 experiment/theoretical/__pycache__/theoretical_material.cpython-310.pyc
create mode 100644 experiment/theoretical/__pycache__/theoretical_material1.cpython-310.pyc
create mode 100644 experiment/theoretical/__pycache__/theoretical_material2.cpython-310.pyc
create mode 100644 experiment/theoretical/__pycache__/theoretical_material3.cpython-310.pyc
create mode 100644 experiment/theoretical/auswertung_test1.py
create mode 100644 experiment/theoretical/auswertung_test2.py
create mode 100644 experiment/theoretical/auswertung_test3.py
create mode 100644 experiment/theoretical/cellsolver.parset
create mode 100644 experiment/theoretical/elasticity_toolbox.py
create mode 100644 experiment/theoretical/geometry_tmp/rve.pvsm
create mode 100644 experiment/theoretical/results_test1/0/BMatrix.txt
create mode 100644 experiment/theoretical/results_test1/0/QMatrix.txt
create mode 100644 experiment/theoretical/results_test1/0/output.txt
create mode 100644 experiment/theoretical/results_test1/1/BMatrix.txt
create mode 100644 experiment/theoretical/results_test1/1/QMatrix.txt
create mode 100644 experiment/theoretical/results_test1/1/output.txt
create mode 100644 experiment/theoretical/results_test1/2/BMatrix.txt
create mode 100644 experiment/theoretical/results_test1/2/QMatrix.txt
create mode 100644 experiment/theoretical/results_test1/2/output.txt
create mode 100644 experiment/theoretical/results_test1/3/BMatrix.txt
create mode 100644 experiment/theoretical/results_test1/3/QMatrix.txt
rename experiment/{wood-bilayer/results/0 => theoretical/results_test1/3}/output.txt (61%)
create mode 100644 experiment/theoretical/results_test1/kappa_simulation.txt
create mode 100644 experiment/theoretical/results_test1/parameter.txt
create mode 100644 experiment/theoretical/results_test1/rve_half.jpeg
create mode 100644 experiment/theoretical/results_test2/0/BMatrix.txt
create mode 100644 experiment/theoretical/results_test2/0/QMatrix.txt
create mode 100644 experiment/theoretical/results_test2/0/output.txt
create mode 100644 experiment/theoretical/results_test2/0/parameter2.txt
create mode 100644 experiment/theoretical/results_test2/1/BMatrix.txt
create mode 100644 experiment/theoretical/results_test2/1/QMatrix.txt
create mode 100644 experiment/theoretical/results_test2/1/output.txt
create mode 100644 experiment/theoretical/results_test2/2/BMatrix.txt
create mode 100644 experiment/theoretical/results_test2/2/QMatrix.txt
create mode 100644 experiment/theoretical/results_test2/2/output.txt
create mode 100644 experiment/theoretical/results_test2/kappa_simulation.txt
create mode 100644 experiment/theoretical/results_test2/parameter.txt
create mode 100644 experiment/theoretical/results_test2/rve_2_fach.jpeg
create mode 100644 experiment/theoretical/results_test2/rve_4_fach.jpeg
create mode 100644 experiment/theoretical/results_test3/0/BMatrix.txt
create mode 100644 experiment/theoretical/results_test3/0/QMatrix.txt
create mode 100644 experiment/theoretical/results_test3/0/output.txt
create mode 100644 experiment/theoretical/results_test3/kappa_simulation.txt
create mode 100644 experiment/theoretical/results_test3/parameter.txt
create mode 100644 experiment/theoretical/results_test3/rve_diagonal.jpeg
create mode 100644 experiment/theoretical/rve.jpeg
create mode 100644 experiment/theoretical/test1.py
create mode 100644 experiment/theoretical/test2.py
create mode 100644 experiment/theoretical/test3.py
create mode 100644 experiment/theoretical/theoretical_material1.py
create mode 100644 experiment/theoretical/theoretical_material2.py
create mode 100644 experiment/theoretical/theoretical_material3.py
create mode 100644 experiment/theoretical_2/PolarPlotLocalEnergy.py
create mode 100644 experiment/theoretical_2/__pycache__/elasticity_toolbox.cpython-310.pyc
create mode 100644 experiment/theoretical_2/__pycache__/theoretical_material.cpython-310.pyc
create mode 100644 experiment/theoretical_2/__pycache__/theoretical_material1.cpython-310.pyc
create mode 100644 experiment/theoretical_2/__pycache__/theoretical_material2.cpython-310.pyc
create mode 100644 experiment/theoretical_2/__pycache__/theoretical_material3.cpython-310.pyc
create mode 100644 experiment/theoretical_2/auswertung_test1.py
create mode 100644 experiment/theoretical_2/auswertung_test2.py
create mode 100644 experiment/theoretical_2/auswertung_test3.py
create mode 100644 experiment/theoretical_2/cellsolver.parset
create mode 100644 experiment/theoretical_2/elasticity_toolbox.py
create mode 100644 experiment/theoretical_2/results_test1/0/BMatrix.txt
create mode 100644 experiment/theoretical_2/results_test1/0/QMatrix.txt
create mode 100644 experiment/theoretical_2/results_test1/0/output.txt
create mode 100644 experiment/theoretical_2/results_test1/1/BMatrix.txt
create mode 100644 experiment/theoretical_2/results_test1/1/QMatrix.txt
create mode 100644 experiment/theoretical_2/results_test1/1/output.txt
create mode 100644 experiment/theoretical_2/results_test1/2/BMatrix.txt
create mode 100644 experiment/theoretical_2/results_test1/2/QMatrix.txt
create mode 100644 experiment/theoretical_2/results_test1/2/output.txt
create mode 100644 experiment/theoretical_2/results_test1/3/BMatrix.txt
create mode 100644 experiment/theoretical_2/results_test1/3/QMatrix.txt
create mode 100644 experiment/theoretical_2/results_test1/3/output.txt
create mode 100644 experiment/theoretical_2/results_test1/kappa_simulation.txt
create mode 100644 experiment/theoretical_2/results_test1/parameter.txt
create mode 100644 experiment/theoretical_2/results_test1/rve_half.jpeg
create mode 100644 experiment/theoretical_2/results_test2/0/BMatrix.txt
create mode 100644 experiment/theoretical_2/results_test2/0/QMatrix.txt
create mode 100644 experiment/theoretical_2/results_test2/0/output.txt
create mode 100644 experiment/theoretical_2/results_test2/0/parameter2.txt
create mode 100644 experiment/theoretical_2/results_test2/1/BMatrix.txt
create mode 100644 experiment/theoretical_2/results_test2/1/QMatrix.txt
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create mode 100644 experiment/theoretical_2/theoretical_material2.py
create mode 100644 experiment/theoretical_2/theoretical_material3.py
create mode 100644 experiment/wood-bilayer-variant/#readme.txt#
create mode 100644 experiment/wood-bilayer-variant/.gitignore
create mode 100644 experiment/wood-bilayer-variant/PolarPlotLocalEnergy.py
create mode 100644 experiment/wood-bilayer-variant/__pycache__/elasticity_toolbox.cpython-310.pyc
create mode 100644 experiment/wood-bilayer-variant/__pycache__/wood_european_beech.cpython-310.pyc
create mode 100644 experiment/wood-bilayer-variant/__pycache__/wood_inclusion.cpython-310.pyc
create mode 100644 experiment/wood-bilayer-variant/__pycache__/wood_square.cpython-310.pyc
create mode 100644 experiment/wood-bilayer-variant/__pycache__/wood_upper_laminated.cpython-310.pyc
create mode 100644 experiment/wood-bilayer-variant/cellsolver.parset.wood
create mode 100644 experiment/wood-bilayer-variant/elasticity_toolbox.py
create mode 100644 experiment/wood-bilayer-variant/readme.txt
create mode 100644 experiment/wood-bilayer-variant/results_inclusion/0/BMatrix.txt
create mode 100644 experiment/wood-bilayer-variant/results_inclusion/0/QMatrix.txt
rename experiment/{wood-bilayer/results/6 => wood-bilayer-variant/results_inclusion/0}/output.txt (64%)
rename experiment/{wood-bilayer/results/6 => wood-bilayer-variant/results_inclusion/0}/parameter.txt (69%)
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create mode 100644 experiment/wood-bilayer-variant/results_inclusion/1/QMatrix.txt
rename experiment/{wood-bilayer/results/2 => wood-bilayer-variant/results_inclusion/1}/output.txt (62%)
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create mode 100644 experiment/wood-bilayer-variant/results_inclusion/2/QMatrix.txt
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create mode 100644 experiment/wood-bilayer-variant/results_inclusion/3/kappa_simulation.txt
rename experiment/{wood-bilayer/results => wood-bilayer-variant/results_inclusion}/3/output.txt (62%)
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create mode 100644 experiment/wood-bilayer-variant/results_inclusion/kappa_simulation.txt
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create mode 100644 experiment/wood-bilayer-variant/results_laminated/1/parameter.txt
create mode 100644 experiment/wood-bilayer-variant/results_laminated/2/BMatrix.txt
create mode 100644 experiment/wood-bilayer-variant/results_laminated/2/QMatrix.txt
create mode 100644 experiment/wood-bilayer-variant/results_laminated/2/output.txt
create mode 100644 experiment/wood-bilayer-variant/results_laminated/2/parameter.txt
create mode 100644 experiment/wood-bilayer-variant/results_laminated/3/BMatrix.txt
create mode 100644 experiment/wood-bilayer-variant/results_laminated/3/QMatrix.txt
create mode 100644 experiment/wood-bilayer-variant/results_laminated/3/kappa_simulation.txt
create mode 100644 experiment/wood-bilayer-variant/results_laminated/3/output.txt
create mode 100644 experiment/wood-bilayer-variant/results_laminated/3/parameter.txt
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create mode 100644 experiment/wood-bilayer-variant/results_laminated/4/QMatrix.txt
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create mode 100644 experiment/wood-bilayer-variant/results_laminated/5/output.txt
create mode 100644 experiment/wood-bilayer-variant/results_laminated/5/parameter.txt
create mode 100644 experiment/wood-bilayer-variant/results_laminated/kappa_simulation.txt
create mode 100644 experiment/wood-bilayer-variant/wood_inclusion.py
create mode 100644 experiment/wood-bilayer-variant/wood_inclusion_test.py
create mode 100644 experiment/wood-bilayer-variant/wood_upper_laminate_test.py
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diff --git a/experiment/PAC/PAC GAMM.py b/experiment/PAC/PAC GAMM.py
new file mode 100644
index 00000000..77c4c391
--- /dev/null
+++ b/experiment/PAC/PAC GAMM.py
@@ -0,0 +1,64 @@
+import math
+#from python_matrix_operations import *
+import ctypes
+import os
+import sys
+import numpy as np
+import elasticity_toolbox as elast
+
+# Polymeric matrix material without prestrin
+# design parameter: fibre diameterthickness in mmm of fibre d
+param_r = 0.1
+param_h = 0.6
+param_vol = 0.1
+# eingestrain in percent
+param_eigenstrain = 0.3
+# height mm
+h = param_h
+# volume fraction
+vol = param_vol
+# period
+# epsilon_ = np.pi*param_r**2/(h*vol)
+# Wir nutzen w\"ufel:
+epsilon_ = (2*param_r)**2/(h*vol)
+# gamma
+gamma = h/epsilon_
+# width of fibres in after rescaling to unit cell
+fibre_height=2*param_r/h
+fibre_width=2*param_r*h/gamma # ~0.07
+
+
+# --- define geometry
+def indicatorFunction(x):
+ if (np.abs(x[2]+.25)<=fibre_height/2) and (np.abs(x[1])<=fibre_width/2):
+ return 1 # fibre
+ else :
+ return 2 # matrix
+
+# --- Number of material phases
+Phases=2
+
+# --- PHASE 1 fibre
+phase1_type="isotropic"
+# E in MPa and nu
+E = 6
+nu = 0.47
+# [mu, lambda]
+materialParameters_phase1 = [E/(2*(1+nu)), (E*nu)/((1+nu)*(1-2*nu))]
+def prestrain_phase1(x):
+ fitting_factor=1
+ factor = fitting_factor*(param_eigenstrain - 0.0009)/h
+ factor_quer= -factor/2 # to keep volume konstant
+ return [[factor,0,0],[0,factor_quer,0],[0,0,factor_quer]]
+
+# --- PHASE 2
+# --- PHASE 1 fibre
+phase2_type="isotropic"
+# E in MPa and nu
+E = 0.7
+nu = 0.47
+# [mu, lambda]
+materialParameters_phase2 = [E/(2*(1+nu)), (E*nu)/((1+nu)*(1-2*nu))]
+def prestrain_phase2(x):
+ return [[0,0,0],[0,0,0],[0,0,0]]
+
diff --git a/experiment/PAC/PAC.py b/experiment/PAC/PAC.py
new file mode 100644
index 00000000..89733949
--- /dev/null
+++ b/experiment/PAC/PAC.py
@@ -0,0 +1,67 @@
+import math
+#from python_matrix_operations import *
+import ctypes
+import os
+import sys
+import numpy as np
+import elasticity_toolbox as elast
+
+# Polymeric matrix material without prestrin
+# design parameter: fibre diameterthickness in mmm of fibre d
+param_r = 0.125
+param_t = 0.6
+param_h = 0.3
+param_vol = 0.16
+param_gamma = 0.5867087822139629
+# eingestrain in percent
+param_eigenstrain = 0.2
+# height mm
+# volume fraction
+vol = param_vol
+# period
+# epsilon_ = np.pi*param_r**2/(h*vol)
+# Wir nutzen w\"ufel:
+epsilon_ = (np.pi*param_r**2)/(param_h*param_vol*2)
+# width of fibres in after rescaling to unit cell
+fibre_height=np.sqrt(param_vol/param_gamma)
+fibre_width=np.sqrt(param_vol*param_gamma) # ~0.07
+# Ellipsoidal
+r_height=param_r/param_t
+r_width=r_height*param_gamma
+
+# --- define geometry
+def indicatorFunction(x):
+ centerpoint_vert=-0.5+0.5*param_h/param_t
+# if (np.abs(x[2]+.25)<=fibre_height/2) and (x[1]+0.5<=fibre_width): # square geometry
+ if ((x[2]-centerpoint_vert)**2+(x[1]/param_gamma)**2<=(param_r/param_t)**2): # round geometry
+ return 1 # fibre
+ else :
+ return 2 # matrix
+
+# --- Number of material phases
+Phases=2
+
+# --- PHASE 1 fibre
+phase1_type="isotropic"
+# E in MPa and nu
+E = 7
+nu = .47
+# [mu, lambda]
+materialParameters_phase1 = [E/(2*(1+nu)), (E*nu)/((1+nu)*(1-2*nu))]
+def prestrain_phase1(x):
+ fitting_factor=0.95
+ factor = fitting_factor*(param_eigenstrain - 0.0009)/param_t
+ factor_quer= -factor/2 # to keep volume konstant
+ return [[factor,0,0],[0,factor_quer,0],[0,0,factor_quer]]
+
+# --- PHASE 2
+# --- PHASE 1 fibre
+phase2_type="isotropic"
+# E in MPa and nu
+E = 0.7
+nu = 0.47
+# [mu, lambda]
+materialParameters_phase2 = [E/(2*(1+nu)), (E*nu)/((1+nu)*(1-2*nu))]
+def prestrain_phase2(x):
+ return [[0,0,0],[0,0,0],[0,0,0]]
+
diff --git a/experiment/PAC/PAC_caseI.py b/experiment/PAC/PAC_caseI.py
new file mode 100644
index 00000000..c3056b7b
--- /dev/null
+++ b/experiment/PAC/PAC_caseI.py
@@ -0,0 +1,168 @@
+import subprocess
+import re
+import os
+import numpy as np
+import matplotlib.pyplot as plt
+import math
+import fileinput
+import time
+import matplotlib.ticker as tickers
+import matplotlib as mpl
+from matplotlib.ticker import MultipleLocator,FormatStrFormatter,MaxNLocator
+import codecs
+import sys
+import threading
+
+# Schreibe input datei für Parameter
+def SetParametersCellProblem(ParameterSet, ParsetFilePath, outputPath):
+ print('----set Parameters -----')
+ with open(ParsetFilePath, 'r') as file:
+ filedata = file.read()
+ filedata = re.sub('(?m)^materialFunction\s?=.*','materialFunction = '+str(ParameterSet.materialFunction),filedata)
+ filedata = re.sub('(?m)^gamma\s?=.*','gamma='+str(ParameterSet.gamma),filedata)
+ filedata = re.sub('(?m)^numLevels\s?=.*','numLevels='+str(ParameterSet.numLevels)+' '+str(ParameterSet.numLevels) ,filedata)
+ filedata = re.sub('(?m)^outputPath\s?=\s?.*','outputPath='+str(outputPath),filedata)
+ f = open(ParsetFilePath,'w')
+ f.write(filedata)
+ f.close()
+
+
+# Ändere Parameter der MaterialFunction
+def SetParameterMaterialFunction(materialFunction, parameterName, parameterValue):
+ with open(Path+"/"+materialFunction+'.py', 'r') as file:
+ filedata = file.read()
+ filedata = re.sub('(?m)^'+str(parameterName)+'\s?=.*',str(parameterName)+' = '+str(parameterValue),filedata)
+ f = open(Path+"/"+materialFunction+'.py','w')
+ f.write(filedata)
+ f.close()
+
+# Rufe Programm zum Lösen des Cell-Problems auf
+def run_CellProblem(executable, parset,write_LOG):
+ print('----- RUN Cell-Problem ----')
+ processList = []
+ LOGFILE = "Cell-Problem_output.log"
+ print('LOGFILE:',LOGFILE)
+ print('executable:',executable)
+ if write_LOG:
+ p = subprocess.Popen(executable + parset
+ + " | tee " + LOGFILE, shell=True)
+
+ else:
+ p = subprocess.Popen(executable + parset
+ + " | tee " + LOGFILE, shell=True)
+
+ p.wait() # wait
+ processList.append(p)
+ exit_codes = [p.wait() for p in processList]
+
+ return
+
+# Read effective quantites
+def ReadEffectiveQuantities(QFilePath = os.path.dirname(os.getcwd()) + '/outputs/QMatrix.txt', BFilePath = os.path.dirname(os.getcwd())+ '/outputs/BMatrix.txt'):
+ # Read Output Matrices (effective quantities)
+ # From Cell-Problem output Files : ../outputs/Qmatrix.txt , ../outputs/Bmatrix.txt
+ # -- Read Matrix Qhom
+ X = []
+ # with codecs.open(path + '/outputs/QMatrix.txt', encoding='utf-8-sig') as f:
+ with codecs.open(QFilePath, encoding='utf-8-sig') as f:
+ for line in f:
+ s = line.split()
+ X.append([float(s[i]) for i in range(len(s))])
+ Q = np.array([[X[0][2], X[1][2], X[2][2]],
+ [X[3][2], X[4][2], X[5][2]],
+ [X[6][2], X[7][2], X[8][2]] ])
+
+ # -- Read Beff (as Vector)
+ X = []
+ # with codecs.open(path + '/outputs/BMatrix.txt', encoding='utf-8-sig') as f:
+ with codecs.open(BFilePath, encoding='utf-8-sig') as f:
+ for line in f:
+ s = line.split()
+ X.append([float(s[i]) for i in range(len(s))])
+ B = np.array([X[0][2], X[1][2], X[2][2]])
+ return Q, B
+
+# Function for evaluating the energy in terms of kappa, alpha and Q, B
+def eval_energy(kappa,alpha,Q,B) :
+ G=kappa*np.array([[np.cos(alpha)**2],[np.sin(alpha)**2],[np.sqrt(2)*np.cos(alpha)*np.sin(alpha)]])-B
+ return np.matmul(np.transpose(G),np.matmul(Q,G))[0,0]
+
+#-------------------------------------------------------------------------------------------------------
+########################
+#### SET PARAMETERS ####
+########################
+# ----- Setup Paths -----
+Path = "./experiment/PAC"
+# parset = ' ./experiment/wood-bilayer/cellsolver.parset.wood'
+ParsetFile = Path + '/cellsolver.parset'
+executable = 'build-cmake/src/Cell-Problem'
+write_LOG = True # writes Cell-Problem output-LOG in "Cell-Problem_output.log"
+
+# ---------------------------------
+# Setup Experiment
+# ---------------------------------
+outputPath = Path + '/results_caseI/'
+
+# ----- Define Input parameters --------------------
+class ParameterSet:
+ pass
+
+ParameterSet.materialFunction = "PAC"
+ParameterSet.numLevels=4
+case_=1
+if case_==1:
+ ParameterSet.vol = 0.16 # nu_f
+ ParameterSet.t = 0.6 # R radius of fibre
+ ParameterSet.r = 0.125 # R radius of fibre
+ ParameterSet.h = 0.3
+elif case_==2:
+ ParameterSet.vol = 0.10 # nu_f
+ ParameterSet.r = 0.1 # R radius of fibre
+ ParameterSet.h = 0.3
+ ParameterSet.t = 0.6 # t thickness of hinge,
+elif case_==3:
+ ParameterSet.vol = 0.16 # nu_f
+ ParameterSet.r = 0.1 # R radius of fibre
+ ParameterSet.h = 0.2
+ ParameterSet.t = 0.6 # t thickness of hinge,
+#
+vol_=np.pi*ParameterSet.r**2
+# h * epsilon_ * vol = vol_
+epsilon_ = vol_/(ParameterSet.h*ParameterSet.vol)
+# gamma
+ParameterSet.gamma = ParameterSet.t/epsilon_
+
+# ----- Define Parameters for Material Function --------------------
+# Liste mit Drehwinkel eigenstraint
+materialFunctionParameter=[0.1, 0.2, 0.3]
+
+# ------ Loops through Parameters for Material Function -----------
+for i in range(0,np.shape(materialFunctionParameter)[0]):
+ print("------------------")
+ print("New Loop")
+ print("------------------")
+ # Check output directory
+ path = outputPath + str(i)
+ isExist = os.path.exists(path)
+ if not isExist:
+ # Create a new directory because it does not existl
+ os.makedirs(path)
+ print("The new directory " + path + " is created!")
+ # keine Parameter daher naechste Zeiel auskommentiert
+ SetParameterMaterialFunction(ParameterSet.materialFunction, "param_eigenstrain",materialFunctionParameter[i])
+ SetParameterMaterialFunction(ParameterSet.materialFunction, "param_t", ParameterSet.t)
+ SetParameterMaterialFunction(ParameterSet.materialFunction, "param_h", ParameterSet.h)
+ SetParameterMaterialFunction(ParameterSet.materialFunction, "param_vol", ParameterSet.vol)
+ SetParameterMaterialFunction(ParameterSet.materialFunction, "param_r", ParameterSet.r)
+ SetParameterMaterialFunction(ParameterSet.materialFunction, "param_gamma", ParameterSet.gamma)
+ SetParametersCellProblem(ParameterSet, ParsetFile, path)
+ #Run Cell-Problem
+ thread = threading.Thread(target=run_CellProblem(executable, " ./"+ParsetFile, write_LOG))
+ thread.start()
+ # ---------------------------------------------------
+ # wait here for the result to be available before continuing
+ thread.join()
+ f = open(path+"/parameter.txt", "w")
+ f.write("param_eigenstrain = "+str(materialFunctionParameter[i])+"\n")
+ f.close()
+ #
diff --git a/experiment/PAC/PAC_caseII.py b/experiment/PAC/PAC_caseII.py
new file mode 100644
index 00000000..eaee1421
--- /dev/null
+++ b/experiment/PAC/PAC_caseII.py
@@ -0,0 +1,149 @@
+import subprocess
+import re
+import os
+import numpy as np
+import matplotlib.pyplot as plt
+import math
+import fileinput
+import time
+import matplotlib.ticker as tickers
+import matplotlib as mpl
+from matplotlib.ticker import MultipleLocator,FormatStrFormatter,MaxNLocator
+import codecs
+import sys
+import threading
+
+# Schreibe input datei für Parameter
+def SetParametersCellProblem(ParameterSet, ParsetFilePath, outputPath):
+ print('----set Parameters -----')
+ with open(ParsetFilePath, 'r') as file:
+ filedata = file.read()
+ filedata = re.sub('(?m)^materialFunction\s?=.*','materialFunction = '+str(ParameterSet.materialFunction),filedata)
+ filedata = re.sub('(?m)^gamma\s?=.*','gamma='+str(ParameterSet.gamma),filedata)
+ filedata = re.sub('(?m)^numLevels\s?=.*','numLevels='+str(ParameterSet.numLevels)+' '+str(ParameterSet.numLevels) ,filedata)
+ filedata = re.sub('(?m)^outputPath\s?=\s?.*','outputPath='+str(outputPath),filedata)
+ f = open(ParsetFilePath,'w')
+ f.write(filedata)
+ f.close()
+
+
+# Ändere Parameter der MaterialFunction
+def SetParameterMaterialFunction(materialFunction, parameterName, parameterValue):
+ with open(Path+"/"+materialFunction+'.py', 'r') as file:
+ filedata = file.read()
+ filedata = re.sub('(?m)^'+str(parameterName)+'\s?=.*',str(parameterName)+' = '+str(parameterValue),filedata)
+ f = open(Path+"/"+materialFunction+'.py','w')
+ f.write(filedata)
+ f.close()
+
+# Rufe Programm zum Lösen des Cell-Problems auf
+def run_CellProblem(executable, parset,write_LOG):
+ print('----- RUN Cell-Problem ----')
+ processList = []
+ LOGFILE = "Cell-Problem_output.log"
+ print('LOGFILE:',LOGFILE)
+ print('executable:',executable)
+ if write_LOG:
+ p = subprocess.Popen(executable + parset
+ + " | tee " + LOGFILE, shell=True)
+
+ else:
+ p = subprocess.Popen(executable + parset
+ + " | tee " + LOGFILE, shell=True)
+
+ p.wait() # wait
+ processList.append(p)
+ exit_codes = [p.wait() for p in processList]
+
+ return
+
+# Read effective quantites
+def ReadEffectiveQuantities(QFilePath = os.path.dirname(os.getcwd()) + '/outputs/QMatrix.txt', BFilePath = os.path.dirname(os.getcwd())+ '/outputs/BMatrix.txt'):
+ # Read Output Matrices (effective quantities)
+ # From Cell-Problem output Files : ../outputs/Qmatrix.txt , ../outputs/Bmatrix.txt
+ # -- Read Matrix Qhom
+ X = []
+ # with codecs.open(path + '/outputs/QMatrix.txt', encoding='utf-8-sig') as f:
+ with codecs.open(QFilePath, encoding='utf-8-sig') as f:
+ for line in f:
+ s = line.split()
+ X.append([float(s[i]) for i in range(len(s))])
+ Q = np.array([[X[0][2], X[1][2], X[2][2]],
+ [X[3][2], X[4][2], X[5][2]],
+ [X[6][2], X[7][2], X[8][2]] ])
+
+ # -- Read Beff (as Vector)
+ X = []
+ # with codecs.open(path + '/outputs/BMatrix.txt', encoding='utf-8-sig') as f:
+ with codecs.open(BFilePath, encoding='utf-8-sig') as f:
+ for line in f:
+ s = line.split()
+ X.append([float(s[i]) for i in range(len(s))])
+ B = np.array([X[0][2], X[1][2], X[2][2]])
+ return Q, B
+
+# Function for evaluating the energy in terms of kappa, alpha and Q, B
+def eval_energy(kappa,alpha,Q,B) :
+ G=kappa*np.array([[np.cos(alpha)**2],[np.sin(alpha)**2],[np.sqrt(2)*np.cos(alpha)*np.sin(alpha)]])-B
+ return np.matmul(np.transpose(G),np.matmul(Q,G))[0,0]
+
+#-------------------------------------------------------------------------------------------------------
+########################
+#### SET PARAMETERS ####
+########################
+# ----- Setup Paths -----
+Path = "./experiment/PAC"
+# parset = ' ./experiment/wood-bilayer/cellsolver.parset.wood'
+ParsetFile = Path + '/cellsolver.parset'
+executable = 'build-cmake/src/Cell-Problem'
+write_LOG = True # writes Cell-Problem output-LOG in "Cell-Problem_output.log"
+
+# ---------------------------------
+# Setup Experiment
+# ---------------------------------
+outputPath = Path + '/results_caseII/'
+
+# ----- Define Input parameters --------------------
+class ParameterSet:
+ pass
+
+ParameterSet.materialFunction = "PAC"
+ParameterSet.numLevels=2
+ParameterSet.vol = 0.10
+ParameterSet.r = 0.1
+ParameterSet.t = 0.6
+ParameterSet.gamma=ParameterSet.t/((np.pi*ParameterSet.r**2)/(ParameterSet.t*ParameterSet.vol))
+
+
+# ----- Define Parameters for Material Function --------------------
+# Liste mit Drehwinkel eigenstraint
+materialFunctionParameter=[0.1, 0.2, 0.3]
+
+# ------ Loops through Parameters for Material Function -----------
+for i in range(0,np.shape(materialFunctionParameter)[0]):
+ print("------------------")
+ print("New Loop")
+ print("------------------")
+ # Check output directory
+ path = outputPath + str(i)
+ isExist = os.path.exists(path)
+ if not isExist:
+ # Create a new directory because it does not exist
+ os.makedirs(path)
+ print("The new directory " + path + " is created!")
+ # keine Parameter daher naechste Zeiel auskommentiert
+ SetParameterMaterialFunction(ParameterSet.materialFunction, "param_eigenstrain",materialFunctionParameter[i])
+ SetParameterMaterialFunction(ParameterSet.materialFunction, "param_h", ParameterSet.h)
+ SetParameterMaterialFunction(ParameterSet.materialFunction, "param_r", ParameterSet.r)
+ SetParameterMaterialFunction(ParameterSet.materialFunction, "param_vol", ParameterSet.vol)
+ SetParametersCellProblem(ParameterSet, ParsetFile, path)
+ #Run Cell-Problem
+ thread = threading.Thread(target=run_CellProblem(executable, " ./"+ParsetFile, write_LOG))
+ thread.start()
+ # ---------------------------------------------------
+ # wait here for the result to be available before continuing
+ thread.join()
+ f = open(path+"/parameter.txt", "w")
+ f.write("param_eigenstrain = "+str(materialFunctionParameter[i])+"\n")
+ f.close()
+ #
diff --git a/experiment/PAC/__pycache__/PAC.cpython-310.pyc b/experiment/PAC/__pycache__/PAC.cpython-310.pyc
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diff --git a/experiment/PAC/auswertung_caseI.py b/experiment/PAC/auswertung_caseI.py
new file mode 100644
index 00000000..759e7675
--- /dev/null
+++ b/experiment/PAC/auswertung_caseI.py
@@ -0,0 +1,127 @@
+#!/usr/bin/env python3
+# -*- coding: utf-8 -*-
+"""
+Created on Wed Jul 6 13:17:28 2022
+
+@author: stefan
+"""
+import numpy as np
+import matplotlib.pyplot as plt
+import matplotlib.colors as colors
+import codecs
+
+
+
+def energy(kappa,alpha,Q,B) :
+ G=kappa*np.array([[np.cos(alpha)**2],[np.sin(alpha)**2],[np.sqrt(2)*np.cos(alpha)*np.sin(alpha)]])-B
+ return np.matmul(np.transpose(G),np.matmul(Q,G))[0,0]
+
+def xytokappaalpha(x,y):
+
+ if y>0:
+ return [np.sqrt(x**2+y**2), np.abs(np.arctan2(y,x))]
+ else:
+ return [-np.sqrt(x**2+y**2), np.abs(np.arctan2(y,x))]
+
+# Read effective quantites
+def ReadEffectiveQuantities(QFilePath, BFilePath):
+ # Read Output Matrices (effective quantities)
+ # From Cell-Problem output Files : ../outputs/Qmatrix.txt , ../outputs/Bmatrix.txt
+ # -- Read Matrix Qhom
+ X = []
+ # with codecs.open(path + '/outputs/QMatrix.txt', encoding='utf-8-sig') as f:
+ with codecs.open(QFilePath, encoding='utf-8-sig') as f:
+ for line in f:
+ s = line.split()
+ X.append([float(s[i]) for i in range(len(s))])
+ Q = np.array([[X[0][2], X[1][2], X[2][2]],
+ [X[3][2], X[4][2], X[5][2]],
+ [X[6][2], X[7][2], X[8][2]] ])
+
+ # -- Read Beff (as Vector)
+ X = []
+ # with codecs.open(path + '/outputs/BMatrix.txt', encoding='utf-8-sig') as f:
+ with codecs.open(BFilePath, encoding='utf-8-sig') as f:
+ for line in f:
+ s = line.split()
+ X.append([float(s[i]) for i in range(len(s))])
+ B = np.array([X[0][2], X[1][2], X[2][2]])
+ return Q, B
+
+number=3
+kappa=np.zeros(number)
+deflection=np.zeros(number)
+for n in range(0,number):
+ # Read from Date
+ print(str(n))
+ Path='./experiment/PAC/results_caseI/'
+ Path='results_caseI/' # reltative path
+ DataPath = Path+str(n)
+ QFilePath = DataPath + '/QMatrix.txt'
+ BFilePath = DataPath + '/BMatrix.txt'
+ Q, B = ReadEffectiveQuantities(QFilePath,BFilePath)
+ # Q=0.5*(np.transpose(Q)+Q) # symmetrize
+ B=np.transpose([B])
+ #
+
+ N=300
+ length=1
+ r, theta = np.meshgrid(np.linspace(0,length,N),np.radians(np.linspace(0, 360, N)))
+ E=np.zeros(np.shape(r))
+ for i in range(0,N):
+ for j in range(0,N):
+ if theta[i,j]<np.pi:
+ E[i,j]=energy(r[i,j],theta[i,j],Q,B)
+ else:
+ E[i,j]=energy(-r[i,j],theta[i,j],Q,B)
+
+ # Compute Minimizer
+ [imin,jmin]=np.unravel_index(E.argmin(),(N,N))
+ kappamin=r[imin,jmin]
+ alphamin=theta[imin,jmin]
+ kappa[n]=kappamin
+ fig, ax = plt.subplots(figsize=(6,6),subplot_kw=dict(projection='polar'))
+ levs=np.geomspace(E.min(),E.max(),400)
+ pcm=ax.contourf(theta, r, E, levs, norm=colors.PowerNorm(gamma=0.2), cmap='brg')
+ ax.set_xticks([0,np.pi/2])
+ ax.set_yticks([kappamin])
+ colorbarticks=np.linspace(E.min(),E.max(),6)
+ plt.colorbar(pcm, extend='max', ticks=colorbarticks, pad=0.1)
+ plt.show()
+
+ # in mm
+ hinge_length=5
+ deflection[n]=180 - hinge_length*kappamin*360/(2*np.pi)
+ print(f"deflection angle = {deflection}")
+
+
+f = open(Path+"kappa_simulation.txt", "w")
+f.write("kappa = "+str(kappa))
+f.write("deflection angle = "+str(deflection))
+f.close()
+
+strains=[10,20,30]
+deflection_measure=[155, 125, 82] # Case 1
+deflection_case_1=[146.46568089, 111.97323837, 78.43891926]
+deflection_case_3=[144.54943408, 108.14074476, 71.73205544]
+deflection_measure=[130, 90, 70] # Case 3
+kappa_measure=[1/360*2*np.pi*(180-deflection_measure[i])/hinge_length for i in range(0,3)]
+
+from matplotlib.ticker import StrMethodFormatter
+
+f = plt.figure()
+f.set_figwidth(3)
+f.set_figheight(3)
+plt.gca().yaxis.set_major_formatter(StrMethodFormatter('{x:,.0f}')) # 2 decimal places
+plt.gca().xaxis.set_major_formatter(StrMethodFormatter('{x:,.1f}')) # 2 decimal places
+plt.scatter(strains, deflection_measure, marker='D', label="experiment")
+plt.scatter(strains, deflection_case_1, marker='o', label="case 1")
+plt.scatter(strains, deflection, marker='x', label="simulation")
+plt.xticks(strains)
+plt.ylabel(r"$\theta$ (°)")
+plt.xlabel(r"$\epsilon_0$")
+plt.legend()
+plt.show()
+
+print((deflection_measure-deflection)/deflection_measure)
+
diff --git a/experiment/PAC/auswertung_caseII.py b/experiment/PAC/auswertung_caseII.py
new file mode 100644
index 00000000..c39a4eea
--- /dev/null
+++ b/experiment/PAC/auswertung_caseII.py
@@ -0,0 +1,122 @@
+#!/usr/bin/env python3
+# -*- coding: utf-8 -*-
+"""
+Created on Wed Jul 6 13:17:28 2022
+
+@author: stefan
+"""
+import numpy as np
+import matplotlib.pyplot as plt
+import matplotlib.colors as colors
+import codecs
+
+
+
+def energy(kappa,alpha,Q,B) :
+ G=kappa*np.array([[np.cos(alpha)**2],[np.sin(alpha)**2],[np.sqrt(2)*np.cos(alpha)*np.sin(alpha)]])-B
+ return np.matmul(np.transpose(G),np.matmul(Q,G))[0,0]
+
+def xytokappaalpha(x,y):
+
+ if y>0:
+ return [np.sqrt(x**2+y**2), np.abs(np.arctan2(y,x))]
+ else:
+ return [-np.sqrt(x**2+y**2), np.abs(np.arctan2(y,x))]
+
+# Read effective quantites
+def ReadEffectiveQuantities(QFilePath, BFilePath):
+ # Read Output Matrices (effective quantities)
+ # From Cell-Problem output Files : ../outputs/Qmatrix.txt , ../outputs/Bmatrix.txt
+ # -- Read Matrix Qhom
+ X = []
+ # with codecs.open(path + '/outputs/QMatrix.txt', encoding='utf-8-sig') as f:
+ with codecs.open(QFilePath, encoding='utf-8-sig') as f:
+ for line in f:
+ s = line.split()
+ X.append([float(s[i]) for i in range(len(s))])
+ Q = np.array([[X[0][2], X[1][2], X[2][2]],
+ [X[3][2], X[4][2], X[5][2]],
+ [X[6][2], X[7][2], X[8][2]] ])
+
+ # -- Read Beff (as Vector)
+ X = []
+ # with codecs.open(path + '/outputs/BMatrix.txt', encoding='utf-8-sig') as f:
+ with codecs.open(BFilePath, encoding='utf-8-sig') as f:
+ for line in f:
+ s = line.split()
+ X.append([float(s[i]) for i in range(len(s))])
+ B = np.array([X[0][2], X[1][2], X[2][2]])
+ return Q, B
+
+number=3
+kappa=np.zeros(number)
+deflection=np.zeros(number)
+for n in range(0,number):
+ # Read from Date
+ print(str(n))
+ Path='results_caseII/' # reltative path
+ DataPath = Path+str(n)
+ QFilePath = DataPath + '/QMatrix.txt'
+ BFilePath = DataPath + '/BMatrix.txt'
+ Q, B = ReadEffectiveQuantities(QFilePath,BFilePath)
+ # Q=0.5*(np.transpose(Q)+Q) # symmetrize
+ B=np.transpose([B])
+ #
+
+ N=300
+ length=1
+ r, theta = np.meshgrid(np.linspace(0,length,N),np.radians(np.linspace(0, 360, N)))
+ E=np.zeros(np.shape(r))
+ for i in range(0,N):
+ for j in range(0,N):
+ if theta[i,j]<np.pi:
+ E[i,j]=energy(r[i,j],theta[i,j],Q,B)
+ else:
+ E[i,j]=energy(-r[i,j],theta[i,j],Q,B)
+
+ # Compute Minimizer
+ [imin,jmin]=np.unravel_index(E.argmin(),(N,N))
+ kappamin=r[imin,jmin]
+ alphamin=theta[imin,jmin]
+ kappa[n]=kappamin
+ fig, ax = plt.subplots(figsize=(6,6),subplot_kw=dict(projection='polar'))
+ levs=np.geomspace(E.min(),E.max(),400)
+ pcm=ax.contourf(theta, r, E, levs, norm=colors.PowerNorm(gamma=0.2), cmap='brg')
+ ax.set_xticks([0,np.pi/2])
+ ax.set_yticks([kappamin])
+ colorbarticks=np.linspace(E.min(),E.max(),6)
+ plt.colorbar(pcm, extend='max', ticks=colorbarticks, pad=0.1)
+ plt.show()
+
+ # in mm
+ hinge_length=5
+ deflection[n]=180 - hinge_length*kappamin*360/(2*np.pi)
+ print(f"deflection angle = {deflection}")
+
+
+f = open(Path+"kappa_simulation.txt", "w")
+f.write("kappa = "+str(kappa))
+f.write("deflection angle = "+str(deflection))
+f.close()
+
+strains=[10,20,30]
+deflection_measure=[135, 100, 70]
+kappa_measure=[1/360*2*np.pi*(180-deflection_measure[i])/hinge_length for i in range(0,3)]
+
+from matplotlib.ticker import StrMethodFormatter
+
+f = plt.figure()
+f.set_figwidth(3)
+f.set_figheight(3)
+plt.gca().yaxis.set_major_formatter(StrMethodFormatter('{x:,.0f}')) # 2 decimal places
+plt.gca().xaxis.set_major_formatter(StrMethodFormatter('{x:,.1f}')) # 2 decimal places
+plt.scatter(strains, deflection_measure, marker='D', label="experiment")
+plt.scatter(strains, deflection, marker='x', label="simulation")
+plt.xticks(strains)
+plt.ylabel(r"$\theta$ (°)")
+plt.xlabel(r"$\epsilon_0$")
+plt.legend()
+plt.show()
+
+print((deflection_measure-deflection)/deflection_measure)
+
diff --git a/experiment/PAC/cellsolver.parset b/experiment/PAC/cellsolver.parset
new file mode 100644
index 00000000..db724810
--- /dev/null
+++ b/experiment/PAC/cellsolver.parset
@@ -0,0 +1,96 @@
+# --- Parameter File as Input for 'Cell-Problem'
+# NOTE: define variables without whitespaces in between! i.e. : gamma=1.0 instead of gamma = 1.0
+# since otherwise these cant be read from other Files!
+# --------------------------------------------------------
+
+# Path for results and logfile
+outputPath=./experiment/PAC/results_caseI/1
+
+# Path for material description
+geometryFunctionPath =experiment/PAC/
+
+
+# --- DEBUG (Output) Option:
+#print_debug = true #(default=false)
+
+
+
+
+#############################################
+# Grid parameters
+#############################################
+#----------------------------------------------------
+## numLevels : Number of Levels on which solution is computed. starting with a 2x2x2 cube mesh.
+## {start,finish} computes on all grid from 2^(start) to 2^finish refinement
+#----------------------------------------------------
+
+numLevels=4 4
+#numLevels = 1 1 # computes all levels from first to second entry
+#numLevels = 2 2 # computes all levels from first to second entry
+#numLevels = 1 3 # computes all levels from first to second entry
+#numLevels = 4 4 # computes all levels from first to second entry
+#numLevels = 5 5 # computes all levels from first to second entry
+#numLevels = 6 6 # computes all levels from first to second entry
+#numLevels = 1 6
+
+
+#############################################
+# Material / Prestrain parameters and ratios
+#############################################
+
+# --- Choose material definition:
+materialFunction = PAC
+
+
+
+# --- Choose scale ratio gamma:
+# gamma=1.1 bei kreisquerschnitt
+gamma=0.5867087822139629
+
+#############################################
+# Assembly options
+#############################################
+#set_IntegralZero = true #(default = false)
+#set_oneBasisFunction_Zero = true #(default = false)
+
+#arbitraryLocalIndex = 7 #(default = 0)
+#arbitraryElementNumber = 3 #(default = 0)
+#############################################
+
+
+#############################################
+# Solver Type: #1: CG - SOLVER , #2: GMRES - SOLVER, #3: QR - SOLVER (default), #4: UMFPACK - SOLVER
+#############################################
+Solvertype = 2 # recommended to use iterative solver (e.g GMRES) for finer grid-levels
+Solver_verbosity = 0 #(default = 2) degree of information for solver output
+
+
+#############################################
+# Write/Output options #(default=false)
+#############################################
+
+# --- (Optional output) write Material / prestrain / Corrector functions to .vtk-Files:
+write_materialFunctions = true # VTK indicator function for material/prestrain definition
+#write_prestrainFunctions = true # VTK norm of B (currently not implemented)
+
+# --- Write Correctos to VTK-File:
+write_VTK = true
+
+# --- (Optional output) L2Error, integral mean:
+#write_L2Error = true
+#write_IntegralMean = true
+
+# --- check orthogonality (75) from paper:
+write_checkOrthogonality = true
+
+# --- Write corrector-coefficients to log-File:
+#write_corrector_phi1 = true
+#write_corrector_phi2 = true
+#write_corrector_phi3 = true
+
+
+# --- Print Condition number of matrix (can be expensive):
+#print_conditionNumber= true #(default=false)
+
+# --- write effective quantities to Matlab-folder for symbolic minimization:
+write_toMATLAB = true # writes effective quantities to .txt-files QMatrix.txt and BMatrix.txt
diff --git a/experiment/PAC/elasticity_toolbox.py b/experiment/PAC/elasticity_toolbox.py
new file mode 100644
index 00000000..8e619526
--- /dev/null
+++ b/experiment/PAC/elasticity_toolbox.py
@@ -0,0 +1,123 @@
+import math
+import numpy as np
+
+
+def strain_to_voigt(strain_matrix):
+ # Ensure the input matrix is a 3x3 strain matrix
+ if strain_matrix.shape != (3, 3):
+ raise ValueError("Input matrix should be a 3x3 strain matrix.")
+
+ # Extract the components from the 3x3 strain matrix
+ ε_xx = strain_matrix[0, 0]
+ ε_yy = strain_matrix[1, 1]
+ ε_zz = strain_matrix[2, 2]
+ γ_yz = .5*(strain_matrix[1, 2]+strain_matrix[2,1])
+ γ_xz = .5*(strain_matrix[0, 2]+strain_matrix[0,2])
+ γ_xy = .5*(strain_matrix[0, 1]+strain_matrix[0,1])
+
+ # Create the Voigt notation vector
+ voigt_notation = np.array([ε_xx, ε_yy, ε_zz, γ_yz, γ_xz, γ_xy])
+
+ return voigt_notation
+
+def voigt_to_strain(voigt_notation):
+ # Ensure the input vector has 6 elements
+ if len(voigt_notation) != 6:
+ raise ValueError("Input vector should have 6 elements in Voigt notation.")
+
+ # Extract the components from the Voigt notation vector
+ ε_xx = voigt_notation[0]
+ ε_yy = voigt_notation[1]
+ ε_zz = voigt_notation[2]
+ γ_yz = voigt_notation[3]
+ γ_xz = voigt_notation[4]
+ γ_xy = voigt_notation[5]
+
+ # Create the 3x3 strain matrix
+ strain_matrix = np.array([[ε_xx, γ_xy, γ_xz],
+ [γ_xy, ε_yy, γ_yz],
+ [γ_xz, γ_yz, ε_zz]])
+
+ return strain_matrix
+
+
+def rotation_matrix(ax, angle):
+ cos_theta = np.cos(angle)
+ sin_theta = np.sin(angle)
+ if ax==0:
+ Q=np.array([[0, 0, 1],
+ [0,1,0],
+ [-1,0,0]
+ ])
+ elif ax==1:
+ Q=np.array([[1, 0, 0],
+ [0,0,1],
+ [0,-1,0]
+ ])
+ else:
+ Q=np.array([[1, 0, 0],
+ [0,1,0],
+ [0,0,1]
+ ])
+
+ R = np.array([[cos_theta, -sin_theta, 0],
+ [sin_theta, cos_theta, 0],
+ [0, 0, 1]])
+ return np.dot(np.dot(Q.T, R),Q)
+
+def rotation_matrix_compliance(ax,theta):
+ R=rotation_matrix(ax,theta)
+ Q_xx=R[0,0]
+ Q_xy=R[0,1]
+ Q_xz=R[0,2]
+ Q_yx=R[1,0]
+ Q_yy=R[1,1]
+ Q_yz=R[1,2]
+ Q_zx=R[2,0]
+ Q_zy=R[2,1]
+ Q_zz=R[2,2]
+ return np.array([
+ [Q_xx**2, Q_xy**2, Q_xz**2, Q_xy*Q_xz, Q_xx*Q_xz, Q_xx*Q_xy],
+ [Q_yx**2, Q_yy**2, Q_yz**2, Q_yy*Q_yz, Q_yx*Q_yz, Q_yx*Q_yy],
+ [Q_zx**2, Q_zy**2, Q_zz**2, Q_zy*Q_zz, Q_zx*Q_zz, Q_zx*Q_zy],
+ [2*Q_yx*Q_zx, 2*Q_yy*Q_zy, 2*Q_yz*Q_zz, Q_yy*Q_zz + Q_yz*Q_zy, Q_yx*Q_zz + Q_yz*Q_zx, Q_yx*Q_zy + Q_yy*Q_zx],
+ [2*Q_xx*Q_zx, 2*Q_xy*Q_zy, 2*Q_xz*Q_zz, Q_xy*Q_zz + Q_xz*Q_zy, Q_xx*Q_zz + Q_xz*Q_zx, Q_xx*Q_zy + Q_xy*Q_zx],
+ [2*Q_xx*Q_yx, 2*Q_xy*Q_yy, 2*Q_xz*Q_yz, Q_xy*Q_yz + Q_xz*Q_yy, Q_xx*Q_yz + Q_xz*Q_yx, Q_xx*Q_yy + Q_xy*Q_yx]
+ ])
+
+def rotate_strain(eps, ax, theta):
+ B=voigt_to_strain(np.matmul(rotation_matrix_epsilon(theta,ax),strain_to_voigt(eps)))
+
+import numpy as np
+
+def voigt_to_tensor(voigt_matrix):
+ tensor = np.zeros((6, 6))
+
+ tensor[0, 0] = voigt_matrix[0]
+ tensor[0, 1] = tensor[1, 0] = voigt_matrix[1]
+ tensor[0, 2] = tensor[2, 0] = voigt_matrix[2]
+ tensor[0, 3] = tensor[3, 0] = voigt_matrix[3]
+ tensor[0, 4] = tensor[4, 0] = voigt_matrix[4]
+ tensor[0, 5] = tensor[5, 0] = voigt_matrix[5]
+
+ tensor[1, 1] = voigt_matrix[6]
+ tensor[1, 2] = tensor[2, 1] = voigt_matrix[7]
+ tensor[1, 3] = tensor[3, 1] = voigt_matrix[8]
+ tensor[1, 4] = tensor[4, 1] = voigt_matrix[9]
+ tensor[1, 5] = tensor[5, 1] = voigt_matrix[10]
+
+ tensor[2, 2] = voigt_matrix[11]
+ tensor[2, 3] = tensor[3, 2] = voigt_matrix[12]
+ tensor[2, 4] = tensor[4, 2] = voigt_matrix[13]
+ tensor[2, 5] = tensor[5, 2] = voigt_matrix[14]
+
+ tensor[3, 3] = voigt_matrix[15]
+ tensor[3, 4] = tensor[4, 3] = voigt_matrix[16]
+ tensor[3, 5] = tensor[5, 3] = voigt_matrix[17]
+
+ tensor[4, 4] = voigt_matrix[18]
+ tensor[4, 5] = tensor[5, 4] = voigt_matrix[19]
+
+ tensor[5, 5] = voigt_matrix[20]
+
+ return tensor
diff --git a/experiment/PAC/results_caseI/0/BMatrix.txt b/experiment/PAC/results_caseI/0/BMatrix.txt
new file mode 100644
index 00000000..07903f2b
--- /dev/null
+++ b/experiment/PAC/results_caseI/0/BMatrix.txt
@@ -0,0 +1,3 @@
+1 1 -0.155044090914770449
+1 2 0.0752460026566448004
+1 3 -3.28620858010370727e-15
diff --git a/experiment/PAC/results_caseI/0/QMatrix.txt b/experiment/PAC/results_caseI/0/QMatrix.txt
new file mode 100644
index 00000000..9bfeccc2
--- /dev/null
+++ b/experiment/PAC/results_caseI/0/QMatrix.txt
@@ -0,0 +1,9 @@
+1 1 0.102548154627594867
+1 2 0.0411930550425130618
+1 3 -1.27759106329459062e-18
+2 1 0.0411930550496847833
+2 2 0.086119160816753193
+2 3 5.48802573938332249e-18
+3 1 -3.68092146241469337e-15
+3 2 -3.33811789377536827e-15
+3 3 0.0455970476028080413
diff --git a/experiment/wood-bilayer/results/1/output.txt b/experiment/PAC/results_caseI/0/output.txt
similarity index 61%
rename from experiment/wood-bilayer/results/1/output.txt
rename to experiment/PAC/results_caseI/0/output.txt
index d135fa65..0ab6a26d 100644
--- a/experiment/wood-bilayer/results/1/output.txt
+++ b/experiment/PAC/results_caseI/0/output.txt
@@ -3,47 +3,47 @@ Solver-type used: GMRES-Solver
---------- OUTPUT ----------
--------------------
Corrector-Matrix M_1:
--0.232471 2.20455e-26 0
-2.20455e-26 0.0115767 0
+0.10524 -1.70166e-17 0
+-1.70166e-17 -0.0332745 0
0 0 0
--------------------
Corrector-Matrix M_2:
--0.0026877 1.24089e-27 0
-1.24089e-27 0.110113 0
+1.85101e-11 2.71694e-17 0
+2.71694e-17 0.0345233 0
0 0 0
--------------------
Corrector-Matrix M_3:
-0 0.0222889 0
-0.0222889 0 0
+3.19848e-15 0.0218271 0
+0.0218271 -8.17233e-15 0
0 0 0
--------------------
--- Effective moduli ---
Qeff_:
-315.078 20.6662 -5.16988e-24
-20.6662 537.775 -1.27955e-24
-9.31699e-32 -1.29964e-32 90.3065
+0.102548 0.0411931 -1.27759e-18
+0.0411931 0.0861192 5.48803e-18
+-3.68092e-15 -3.33812e-15 0.045597
------------------------
--- Prestrain Output ---
-Bhat_: 545.025 -189.766 -1.57938e-30
-Beff_: 1.75738 -0.420407 -1.93628e-32 (Effective Prestrain)
+Bhat_: -0.0127999 9.33828e-05 1.69684e-16
+Beff_: -0.155044 0.075246 -3.28621e-15 (Effective Prestrain)
------------------------
size of FiniteElementBasis: 13056
-q1=315.078
-q2=537.775
-q3=90.3065
-q12=20.6662
-q23=-1.27955e-24
-q_onetwo=20.666196
-b1=1.757383
-b2=-0.420407
+q1=0.102548
+q2=0.0861192
+q3=0.045597
+q12=0.0411931
+q23=5.48803e-18
+q_onetwo=0.041193
+b1=-0.155044
+b2=0.075246
b3=-0.000000
-mu_gamma=90.306531
+mu_gamma=0.045597
---------------------------------------------------------------------------------------------------------------------------------------
Levels | q1 | q2 | q3 | q12 | q23 | b1 | b2 | b3 |
---------------------------------------------------------------------------------------------------------------------------------------
- 4 & 3.15078e+02 & 5.37775e+02 & 9.03065e+01 & 2.06662e+01 & -1.27955e-24 & 1.75738e+00 & -4.20407e-01 & -1.93628e-32 &
+ 4 & 1.02548e-01 & 8.61192e-02 & 4.55970e-02 & 4.11931e-02 & 5.48803e-18 & -1.55044e-01 & 7.52460e-02 & -3.28621e-15 &
---------------------------------------------------------------------------------------------------------------------------------------
diff --git a/experiment/PAC/results_caseI/0/parameter.txt b/experiment/PAC/results_caseI/0/parameter.txt
new file mode 100644
index 00000000..2205ab02
--- /dev/null
+++ b/experiment/PAC/results_caseI/0/parameter.txt
@@ -0,0 +1 @@
+param_eigenstrain = 0.1
diff --git a/experiment/PAC/results_caseI/1/BMatrix.txt b/experiment/PAC/results_caseI/1/BMatrix.txt
new file mode 100644
index 00000000..dc064173
--- /dev/null
+++ b/experiment/PAC/results_caseI/1/BMatrix.txt
@@ -0,0 +1,3 @@
+1 1 -0.309790572376458739
+1 2 0.150530832906733553
+1 3 9.0948862540221638e-14
diff --git a/experiment/PAC/results_caseI/1/QMatrix.txt b/experiment/PAC/results_caseI/1/QMatrix.txt
new file mode 100644
index 00000000..1e98e924
--- /dev/null
+++ b/experiment/PAC/results_caseI/1/QMatrix.txt
@@ -0,0 +1,9 @@
+1 1 0.106184182510032962
+1 2 0.0415031292388598136
+1 3 -5.45262328177513506e-18
+2 1 0.0415031292365819551
+2 2 0.0869274458536025973
+2 3 -4.45230589587336029e-18
+3 1 8.97029805217425862e-15
+3 2 1.61473386930774383e-14
+3 3 0.0454953390603186208
diff --git a/experiment/PAC/results_caseI/1/output.txt b/experiment/PAC/results_caseI/1/output.txt
new file mode 100644
index 00000000..99f7b04a
--- /dev/null
+++ b/experiment/PAC/results_caseI/1/output.txt
@@ -0,0 +1 @@
+Number of Grid-Elements in each direction: [16,16,16]
diff --git a/experiment/PAC/results_caseI/1/parameter.txt b/experiment/PAC/results_caseI/1/parameter.txt
new file mode 100644
index 00000000..b61ea36b
--- /dev/null
+++ b/experiment/PAC/results_caseI/1/parameter.txt
@@ -0,0 +1 @@
+param_eigenstrain = 0.2
diff --git a/experiment/PAC/results_caseI/2/BMatrix.txt b/experiment/PAC/results_caseI/2/BMatrix.txt
new file mode 100644
index 00000000..a4647274
--- /dev/null
+++ b/experiment/PAC/results_caseI/2/BMatrix.txt
@@ -0,0 +1,3 @@
+1 1 -0.465386038160718107
+1 2 0.226136474748388189
+1 3 1.36628853770870351e-13
diff --git a/experiment/PAC/results_caseI/2/QMatrix.txt b/experiment/PAC/results_caseI/2/QMatrix.txt
new file mode 100644
index 00000000..1e98e924
--- /dev/null
+++ b/experiment/PAC/results_caseI/2/QMatrix.txt
@@ -0,0 +1,9 @@
+1 1 0.106184182510032962
+1 2 0.0415031292388598136
+1 3 -5.45262328177513506e-18
+2 1 0.0415031292365819551
+2 2 0.0869274458536025973
+2 3 -4.45230589587336029e-18
+3 1 8.97029805217425862e-15
+3 2 1.61473386930774383e-14
+3 3 0.0454953390603186208
diff --git a/experiment/PAC/results_caseI/2/output.txt b/experiment/PAC/results_caseI/2/output.txt
new file mode 100644
index 00000000..d6a57d6c
--- /dev/null
+++ b/experiment/PAC/results_caseI/2/output.txt
@@ -0,0 +1,49 @@
+Number of Grid-Elements in each direction: [16,16,16]
+Solver-type used: GMRES-Solver
+---------- OUTPUT ----------
+ --------------------
+Corrector-Matrix M_1:
+0.10912 -2.31806e-17 0
+-2.31806e-17 -0.0354366 0
+0 0 0
+
+ --------------------
+Corrector-Matrix M_2:
+-8.47886e-11 -2.06067e-17 0
+-2.06067e-17 0.0338638 0
+0 0 0
+
+ --------------------
+Corrector-Matrix M_3:
+2.57958e-14 0.0220502 0
+0.0220502 -1.41798e-14 0
+0 0 0
+
+ --------------------
+--- Effective moduli ---
+Qeff_:
+0.106184 0.0415031 -5.45262e-18
+0.0415031 0.0869274 -4.45231e-18
+8.9703e-15 1.61473e-14 0.0454953
+
+------------------------
+--- Prestrain Output ---
+Bhat_: -0.0400313 0.000342489 5.69283e-15
+Beff_: -0.465386 0.226136 1.36629e-13 (Effective Prestrain)
+------------------------
+size of FiniteElementBasis: 13056
+q1=0.106184
+q2=0.0869274
+q3=0.0454953
+q12=0.0415031
+q23=-4.45231e-18
+q_onetwo=0.041503
+b1=-0.465386
+b2=0.226136
+b3=0.000000
+mu_gamma=0.045495
+---------------------------------------------------------------------------------------------------------------------------------------
+ Levels | q1 | q2 | q3 | q12 | q23 | b1 | b2 | b3 |
+---------------------------------------------------------------------------------------------------------------------------------------
+ 4 & 1.06184e-01 & 8.69274e-02 & 4.54953e-02 & 4.15031e-02 & -4.45231e-18 & -4.65386e-01 & 2.26136e-01 & 1.36629e-13 &
+---------------------------------------------------------------------------------------------------------------------------------------
diff --git a/experiment/PAC/results_caseI/2/parameter.txt b/experiment/PAC/results_caseI/2/parameter.txt
new file mode 100644
index 00000000..f671a1e8
--- /dev/null
+++ b/experiment/PAC/results_caseI/2/parameter.txt
@@ -0,0 +1 @@
+param_eigenstrain = 0.3
diff --git a/experiment/PAC/results_caseI/kappa_simulation.txt b/experiment/PAC/results_caseI/kappa_simulation.txt
new file mode 100644
index 00000000..96b73597
--- /dev/null
+++ b/experiment/PAC/results_caseI/kappa_simulation.txt
@@ -0,0 +1 @@
+kappa = [0.12374582 0.25083612 0.37792642]deflection angle = [144.54943408 108.14074476 71.73205544]
\ No newline at end of file
diff --git a/experiment/PAC/results_caseII/0/BMatrix.txt b/experiment/PAC/results_caseII/0/BMatrix.txt
new file mode 100644
index 00000000..73148e7c
--- /dev/null
+++ b/experiment/PAC/results_caseII/0/BMatrix.txt
@@ -0,0 +1,3 @@
+1 1 -0.176105933438936185
+1 2 0.0721355701679945172
+1 3 3.25866723985623459e-13
diff --git a/experiment/PAC/results_caseII/0/QMatrix.txt b/experiment/PAC/results_caseII/0/QMatrix.txt
new file mode 100644
index 00000000..9e933460
--- /dev/null
+++ b/experiment/PAC/results_caseII/0/QMatrix.txt
@@ -0,0 +1,9 @@
+1 1 0.136783843691014512
+1 2 0.0716459931790193044
+1 3 -2.88680318469746051e-18
+2 1 0.0716459931785583676
+2 2 0.125971940776556296
+2 3 1.0524205680923487e-17
+3 1 -2.72367505932942348e-14
+3 2 -3.7445497136832156e-14
+3 3 0.0512382871581720176
diff --git a/experiment/PAC/results_caseII/0/output.txt b/experiment/PAC/results_caseII/0/output.txt
new file mode 100644
index 00000000..63435f21
--- /dev/null
+++ b/experiment/PAC/results_caseII/0/output.txt
@@ -0,0 +1,49 @@
+Number of Grid-Elements in each direction: [4,4,4]
+Solver-type used: GMRES-Solver
+---------- OUTPUT ----------
+ --------------------
+Corrector-Matrix M_1:
+0.134984 -1.77974e-17 0
+-1.77974e-17 -0.0203649 0
+0 0 0
+
+ --------------------
+Corrector-Matrix M_2:
+-1.00897e-12 6.26397e-17 0
+6.26397e-17 0.0938183 0
+0 0 0
+
+ --------------------
+Corrector-Matrix M_3:
+-3.68695e-14 0.0463744 0
+0.0463744 -2.64134e-14 0
+0 0 0
+
+ --------------------
+--- Effective moduli ---
+Qeff_:
+0.136784 0.071646 -2.8868e-18
+0.071646 0.125972 1.05242e-17
+-2.72368e-14 -3.74455e-14 0.0512383
+
+------------------------
+--- Prestrain Output ---
+Bhat_: -0.0189202 -0.00353023 1.87923e-14
+Beff_: -0.176106 0.0721356 3.25867e-13 (Effective Prestrain)
+------------------------
+size of FiniteElementBasis: 240
+q1=0.136784
+q2=0.125972
+q3=0.0512383
+q12=0.071646
+q23=1.05242e-17
+q_onetwo=0.071646
+b1=-0.176106
+b2=0.072136
+b3=0.000000
+mu_gamma=0.051238
+---------------------------------------------------------------------------------------------------------------------------------------
+ Levels | q1 | q2 | q3 | q12 | q23 | b1 | b2 | b3 |
+---------------------------------------------------------------------------------------------------------------------------------------
+ 2 & 1.36784e-01 & 1.25972e-01 & 5.12383e-02 & 7.16460e-02 & 1.05242e-17 & -1.76106e-01 & 7.21356e-02 & 3.25867e-13 &
+---------------------------------------------------------------------------------------------------------------------------------------
diff --git a/experiment/PAC/results_caseII/0/parameter.txt b/experiment/PAC/results_caseII/0/parameter.txt
new file mode 100644
index 00000000..2205ab02
--- /dev/null
+++ b/experiment/PAC/results_caseII/0/parameter.txt
@@ -0,0 +1 @@
+param_eigenstrain = 0.1
diff --git a/experiment/PAC/results_caseII/1/BMatrix.txt b/experiment/PAC/results_caseII/1/BMatrix.txt
new file mode 100644
index 00000000..28c38be9
--- /dev/null
+++ b/experiment/PAC/results_caseII/1/BMatrix.txt
@@ -0,0 +1,3 @@
+1 1 -0.353811214406581143
+1 2 0.144926256513094931
+1 3 6.54692883406030472e-13
diff --git a/experiment/PAC/results_caseII/1/QMatrix.txt b/experiment/PAC/results_caseII/1/QMatrix.txt
new file mode 100644
index 00000000..9e933460
--- /dev/null
+++ b/experiment/PAC/results_caseII/1/QMatrix.txt
@@ -0,0 +1,9 @@
+1 1 0.136783843691014512
+1 2 0.0716459931790193044
+1 3 -2.88680318469746051e-18
+2 1 0.0716459931785583676
+2 2 0.125971940776556296
+2 3 1.0524205680923487e-17
+3 1 -2.72367505932942348e-14
+3 2 -3.7445497136832156e-14
+3 3 0.0512382871581720176
diff --git a/experiment/PAC/results_caseII/1/output.txt b/experiment/PAC/results_caseII/1/output.txt
new file mode 100644
index 00000000..41c1920f
--- /dev/null
+++ b/experiment/PAC/results_caseII/1/output.txt
@@ -0,0 +1,49 @@
+Number of Grid-Elements in each direction: [4,4,4]
+Solver-type used: GMRES-Solver
+---------- OUTPUT ----------
+ --------------------
+Corrector-Matrix M_1:
+0.134984 -1.77974e-17 0
+-1.77974e-17 -0.0203649 0
+0 0 0
+
+ --------------------
+Corrector-Matrix M_2:
+-1.00897e-12 6.26397e-17 0
+6.26397e-17 0.0938183 0
+0 0 0
+
+ --------------------
+Corrector-Matrix M_3:
+-3.68695e-14 0.0463744 0
+0.0463744 -2.64134e-14 0
+0 0 0
+
+ --------------------
+--- Effective moduli ---
+Qeff_:
+0.136784 0.071646 -2.8868e-18
+0.071646 0.125972 1.05242e-17
+-2.72368e-14 -3.74455e-14 0.0512383
+
+------------------------
+--- Prestrain Output ---
+Bhat_: -0.0380123 -0.00709251 3.77552e-14
+Beff_: -0.353811 0.144926 6.54693e-13 (Effective Prestrain)
+------------------------
+size of FiniteElementBasis: 240
+q1=0.136784
+q2=0.125972
+q3=0.0512383
+q12=0.071646
+q23=1.05242e-17
+q_onetwo=0.071646
+b1=-0.353811
+b2=0.144926
+b3=0.000000
+mu_gamma=0.051238
+---------------------------------------------------------------------------------------------------------------------------------------
+ Levels | q1 | q2 | q3 | q12 | q23 | b1 | b2 | b3 |
+---------------------------------------------------------------------------------------------------------------------------------------
+ 2 & 1.36784e-01 & 1.25972e-01 & 5.12383e-02 & 7.16460e-02 & 1.05242e-17 & -3.53811e-01 & 1.44926e-01 & 6.54693e-13 &
+---------------------------------------------------------------------------------------------------------------------------------------
diff --git a/experiment/PAC/results_caseII/1/parameter.txt b/experiment/PAC/results_caseII/1/parameter.txt
new file mode 100644
index 00000000..b61ea36b
--- /dev/null
+++ b/experiment/PAC/results_caseII/1/parameter.txt
@@ -0,0 +1 @@
+param_eigenstrain = 0.2
diff --git a/experiment/PAC/results_caseII/2/BMatrix.txt b/experiment/PAC/results_caseII/2/BMatrix.txt
new file mode 100644
index 00000000..208b54f4
--- /dev/null
+++ b/experiment/PAC/results_caseII/2/BMatrix.txt
@@ -0,0 +1,3 @@
+1 1 -0.531516495374226294
+1 2 0.217716942858195373
+1 3 9.83519042826437182e-13
diff --git a/experiment/PAC/results_caseII/2/QMatrix.txt b/experiment/PAC/results_caseII/2/QMatrix.txt
new file mode 100644
index 00000000..9e933460
--- /dev/null
+++ b/experiment/PAC/results_caseII/2/QMatrix.txt
@@ -0,0 +1,9 @@
+1 1 0.136783843691014512
+1 2 0.0716459931790193044
+1 3 -2.88680318469746051e-18
+2 1 0.0716459931785583676
+2 2 0.125971940776556296
+2 3 1.0524205680923487e-17
+3 1 -2.72367505932942348e-14
+3 2 -3.7445497136832156e-14
+3 3 0.0512382871581720176
diff --git a/experiment/PAC/results_caseII/2/output.txt b/experiment/PAC/results_caseII/2/output.txt
new file mode 100644
index 00000000..7162a8b9
--- /dev/null
+++ b/experiment/PAC/results_caseII/2/output.txt
@@ -0,0 +1,49 @@
+Number of Grid-Elements in each direction: [4,4,4]
+Solver-type used: GMRES-Solver
+---------- OUTPUT ----------
+ --------------------
+Corrector-Matrix M_1:
+0.134984 -1.77974e-17 0
+-1.77974e-17 -0.0203649 0
+0 0 0
+
+ --------------------
+Corrector-Matrix M_2:
+-1.00897e-12 6.26397e-17 0
+6.26397e-17 0.0938183 0
+0 0 0
+
+ --------------------
+Corrector-Matrix M_3:
+-3.68695e-14 0.0463744 0
+0.0463744 -2.64134e-14 0
+0 0 0
+
+ --------------------
+--- Effective moduli ---
+Qeff_:
+0.136784 0.071646 -2.8868e-18
+0.071646 0.125972 1.05242e-17
+-2.72368e-14 -3.74455e-14 0.0512383
+
+------------------------
+--- Prestrain Output ---
+Bhat_: -0.0571043 -0.0106548 5.67181e-14
+Beff_: -0.531516 0.217717 9.83519e-13 (Effective Prestrain)
+------------------------
+size of FiniteElementBasis: 240
+q1=0.136784
+q2=0.125972
+q3=0.0512383
+q12=0.071646
+q23=1.05242e-17
+q_onetwo=0.071646
+b1=-0.531516
+b2=0.217717
+b3=0.000000
+mu_gamma=0.051238
+---------------------------------------------------------------------------------------------------------------------------------------
+ Levels | q1 | q2 | q3 | q12 | q23 | b1 | b2 | b3 |
+---------------------------------------------------------------------------------------------------------------------------------------
+ 2 & 1.36784e-01 & 1.25972e-01 & 5.12383e-02 & 7.16460e-02 & 1.05242e-17 & -5.31516e-01 & 2.17717e-01 & 9.83519e-13 &
+---------------------------------------------------------------------------------------------------------------------------------------
diff --git a/experiment/PAC/results_caseII/2/parameter.txt b/experiment/PAC/results_caseII/2/parameter.txt
new file mode 100644
index 00000000..f671a1e8
--- /dev/null
+++ b/experiment/PAC/results_caseII/2/parameter.txt
@@ -0,0 +1 @@
+param_eigenstrain = 0.3
diff --git a/experiment/PAC/results_caseII/kappa_simulation.txt b/experiment/PAC/results_caseII/kappa_simulation.txt
new file mode 100644
index 00000000..53c64a04
--- /dev/null
+++ b/experiment/PAC/results_caseII/kappa_simulation.txt
@@ -0,0 +1 @@
+kappa = [0.13712375 0.27759197 0.4180602 ]deflection angle = [140.71694047 100.47575753 60.2345746 ]
\ No newline at end of file
diff --git a/experiment/PAC/results_caseI_gridleve4/0/BMatrix.txt b/experiment/PAC/results_caseI_gridleve4/0/BMatrix.txt
new file mode 100644
index 00000000..ec50767e
--- /dev/null
+++ b/experiment/PAC/results_caseI_gridleve4/0/BMatrix.txt
@@ -0,0 +1,3 @@
+1 1 -0.189235216298097031
+1 2 0.0929669821405081087
+1 3 1.11197839442292057e-13
diff --git a/experiment/PAC/results_caseI_gridleve4/0/QMatrix.txt b/experiment/PAC/results_caseI_gridleve4/0/QMatrix.txt
new file mode 100644
index 00000000..7bf41873
--- /dev/null
+++ b/experiment/PAC/results_caseI_gridleve4/0/QMatrix.txt
@@ -0,0 +1,9 @@
+1 1 0.112853780106589169
+1 2 0.0453671737788576002
+1 3 1.63847936508322898e-17
+2 1 0.0453671738163330951
+2 2 0.0947606395233518278
+2 3 -2.82168180366449275e-17
+3 1 2.61992071822174901e-14
+3 2 2.57914761054870316e-14
+3 3 0.0497732146096444839
diff --git a/experiment/PAC/results_caseI_gridleve4/0/output.txt b/experiment/PAC/results_caseI_gridleve4/0/output.txt
new file mode 100644
index 00000000..ed2e8839
--- /dev/null
+++ b/experiment/PAC/results_caseI_gridleve4/0/output.txt
@@ -0,0 +1,49 @@
+Number of Grid-Elements in each direction: [16,16,16]
+Solver-type used: GMRES-Solver
+---------- OUTPUT ----------
+ --------------------
+Corrector-Matrix M_1:
+0.131742 7.78554e-17 0
+7.78554e-17 -0.0318465 0
+0 0 0
+
+ --------------------
+Corrector-Matrix M_2:
+-2.46692e-13 -1.51687e-16 0
+-1.51687e-16 0.0640375 0
+0 0 0
+
+ --------------------
+Corrector-Matrix M_3:
+1.17136e-14 0.0389211 0
+0.0389211 2.71988e-14 0
+0 0 0
+
+ --------------------
+--- Effective moduli ---
+Qeff_:
+0.112854 0.0453672 1.63848e-17
+0.0453672 0.0947606 -2.82168e-17
+2.61992e-14 2.57915e-14 0.0497732
+
+------------------------
+--- Prestrain Output ---
+Bhat_: -0.0171383 0.000224544 2.97462e-15
+Beff_: -0.189235 0.092967 1.11198e-13 (Effective Prestrain)
+------------------------
+size of FiniteElementBasis: 13056
+q1=0.112854
+q2=0.0947606
+q3=0.0497732
+q12=0.0453672
+q23=-2.82168e-17
+q_onetwo=0.045367
+b1=-0.189235
+b2=0.092967
+b3=0.000000
+mu_gamma=0.049773
+---------------------------------------------------------------------------------------------------------------------------------------
+ Levels | q1 | q2 | q3 | q12 | q23 | b1 | b2 | b3 |
+---------------------------------------------------------------------------------------------------------------------------------------
+ 4 & 1.12854e-01 & 9.47606e-02 & 4.97732e-02 & 4.53672e-02 & -2.82168e-17 & -1.89235e-01 & 9.29670e-02 & 1.11198e-13 &
+---------------------------------------------------------------------------------------------------------------------------------------
diff --git a/experiment/PAC/results_caseI_gridleve4/0/parameter.txt b/experiment/PAC/results_caseI_gridleve4/0/parameter.txt
new file mode 100644
index 00000000..2205ab02
--- /dev/null
+++ b/experiment/PAC/results_caseI_gridleve4/0/parameter.txt
@@ -0,0 +1 @@
+param_eigenstrain = 0.1
diff --git a/experiment/PAC/results_caseI_gridleve4/1/BMatrix.txt b/experiment/PAC/results_caseI_gridleve4/1/BMatrix.txt
new file mode 100644
index 00000000..d6f7253c
--- /dev/null
+++ b/experiment/PAC/results_caseI_gridleve4/1/BMatrix.txt
@@ -0,0 +1,3 @@
+1 1 -0.380189016800717483
+1 2 0.186778265834259966
+1 3 2.23405548263979186e-13
diff --git a/experiment/PAC/results_caseI_gridleve4/1/QMatrix.txt b/experiment/PAC/results_caseI_gridleve4/1/QMatrix.txt
new file mode 100644
index 00000000..7bf41873
--- /dev/null
+++ b/experiment/PAC/results_caseI_gridleve4/1/QMatrix.txt
@@ -0,0 +1,9 @@
+1 1 0.112853780106589169
+1 2 0.0453671737788576002
+1 3 1.63847936508322898e-17
+2 1 0.0453671738163330951
+2 2 0.0947606395233518278
+2 3 -2.82168180366449275e-17
+3 1 2.61992071822174901e-14
+3 2 2.57914761054870316e-14
+3 3 0.0497732146096444839
diff --git a/experiment/wood-bilayer/results/5/output.txt b/experiment/PAC/results_caseI_gridleve4/1/output.txt
similarity index 63%
rename from experiment/wood-bilayer/results/5/output.txt
rename to experiment/PAC/results_caseI_gridleve4/1/output.txt
index f9656ea8..3f83262b 100644
--- a/experiment/wood-bilayer/results/5/output.txt
+++ b/experiment/PAC/results_caseI_gridleve4/1/output.txt
@@ -3,47 +3,47 @@ Solver-type used: GMRES-Solver
---------- OUTPUT ----------
--------------------
Corrector-Matrix M_1:
--0.227431 4.59477e-27 0
-4.59477e-27 0.0135725 0
+0.131742 7.78554e-17 0
+7.78554e-17 -0.0318465 0
0 0 0
--------------------
Corrector-Matrix M_2:
--0.00336484 3.60248e-27 0
-3.60248e-27 0.109684 0
+-2.46692e-13 -1.51687e-16 0
+-1.51687e-16 0.0640375 0
0 0 0
--------------------
Corrector-Matrix M_3:
-0 0.0205697 0
-0.0205697 0 0
+1.17136e-14 0.0389211 0
+0.0389211 2.71988e-14 0
0 0 0
--------------------
--- Effective moduli ---
Qeff_:
-355.989 27.3425 -1.18907e-24
-27.3425 590.573 1.55096e-25
--1.32588e-33 -1.3937e-33 96.1398
+0.112854 0.0453672 1.63848e-17
+0.0453672 0.0947606 -2.82168e-17
+2.61992e-14 2.57915e-14 0.0497732
------------------------
--- Prestrain Output ---
-Bhat_: 1335.06 -485.441 9.41494e-33
-Beff_: 3.82702 -0.999167 1.36224e-34 (Effective Prestrain)
+Bhat_: -0.0344322 0.000451127 5.97625e-15
+Beff_: -0.380189 0.186778 2.23406e-13 (Effective Prestrain)
------------------------
size of FiniteElementBasis: 13056
-q1=355.989
-q2=590.573
-q3=96.1398
-q12=27.3425
-q23=1.55096e-25
-q_onetwo=27.342522
-b1=3.827015
-b2=-0.999167
+q1=0.112854
+q2=0.0947606
+q3=0.0497732
+q12=0.0453672
+q23=-2.82168e-17
+q_onetwo=0.045367
+b1=-0.380189
+b2=0.186778
b3=0.000000
-mu_gamma=96.139782
+mu_gamma=0.049773
---------------------------------------------------------------------------------------------------------------------------------------
Levels | q1 | q2 | q3 | q12 | q23 | b1 | b2 | b3 |
---------------------------------------------------------------------------------------------------------------------------------------
- 4 & 3.55989e+02 & 5.90573e+02 & 9.61398e+01 & 2.73425e+01 & 1.55096e-25 & 3.82702e+00 & -9.99167e-01 & 1.36224e-34 &
+ 4 & 1.12854e-01 & 9.47606e-02 & 4.97732e-02 & 4.53672e-02 & -2.82168e-17 & -3.80189e-01 & 1.86778e-01 & 2.23406e-13 &
---------------------------------------------------------------------------------------------------------------------------------------
diff --git a/experiment/PAC/results_caseI_gridleve4/1/parameter.txt b/experiment/PAC/results_caseI_gridleve4/1/parameter.txt
new file mode 100644
index 00000000..b61ea36b
--- /dev/null
+++ b/experiment/PAC/results_caseI_gridleve4/1/parameter.txt
@@ -0,0 +1 @@
+param_eigenstrain = 0.2
diff --git a/experiment/PAC/results_caseI_gridleve4/2/BMatrix.txt b/experiment/PAC/results_caseI_gridleve4/2/BMatrix.txt
new file mode 100644
index 00000000..955a1e52
--- /dev/null
+++ b/experiment/PAC/results_caseI_gridleve4/2/BMatrix.txt
@@ -0,0 +1,3 @@
+1 1 -0.559417496401962033
+1 2 0.287120053374261774
+1 3 -1.58312175564728223e-12
diff --git a/experiment/PAC/results_caseI_gridleve4/2/QMatrix.txt b/experiment/PAC/results_caseI_gridleve4/2/QMatrix.txt
new file mode 100644
index 00000000..ea7a858d
--- /dev/null
+++ b/experiment/PAC/results_caseI_gridleve4/2/QMatrix.txt
@@ -0,0 +1,9 @@
+1 1 0.113342880027016188
+1 2 0.0505713795862981971
+1 3 -1.09665395166927383e-17
+2 1 0.0505713796174910857
+2 2 0.100490632876382435
+2 3 -3.44770504670767114e-18
+3 1 -1.41353424224383735e-13
+3 2 -1.50227418797350745e-13
+3 3 0.0493555308618608343
diff --git a/experiment/PAC/results_caseI_gridleve4/2/output.txt b/experiment/PAC/results_caseI_gridleve4/2/output.txt
new file mode 100644
index 00000000..99f7b04a
--- /dev/null
+++ b/experiment/PAC/results_caseI_gridleve4/2/output.txt
@@ -0,0 +1 @@
+Number of Grid-Elements in each direction: [16,16,16]
diff --git a/experiment/PAC/results_caseI_gridleve4/2/parameter.txt b/experiment/PAC/results_caseI_gridleve4/2/parameter.txt
new file mode 100644
index 00000000..f671a1e8
--- /dev/null
+++ b/experiment/PAC/results_caseI_gridleve4/2/parameter.txt
@@ -0,0 +1 @@
+param_eigenstrain = 0.3
diff --git a/experiment/PAC/results_caseI_gridleve4/kappa_simulation.txt b/experiment/PAC/results_caseI_gridleve4/kappa_simulation.txt
new file mode 100644
index 00000000..7ca98bab
--- /dev/null
+++ b/experiment/PAC/results_caseI_gridleve4/kappa_simulation.txt
@@ -0,0 +1 @@
+kappa = [0.15050167 0.30434783 0.43143813]deflection angle = [136.88444685 92.81077031 56.40208098]
\ No newline at end of file
diff --git a/experiment/theoretical/PolarPlotLocalEnergy.py b/experiment/theoretical/PolarPlotLocalEnergy.py
new file mode 100644
index 00000000..808717a1
--- /dev/null
+++ b/experiment/theoretical/PolarPlotLocalEnergy.py
@@ -0,0 +1,103 @@
+#!/usr/bin/env python3
+# -*- coding: utf-8 -*-
+"""
+Created on Wed Jul 6 13:17:28 2022
+
+@author: stefan
+"""
+import numpy as np
+import matplotlib.pyplot as plt
+import matplotlib.colors as colors
+import codecs
+
+
+
+def energy(kappa,alpha,Q,B) :
+ G=kappa*np.array([[np.cos(alpha)**2],[np.sin(alpha)**2],[np.sqrt(2)*np.cos(alpha)*np.sin(alpha)]])-B
+ return np.matmul(np.transpose(G),np.matmul(Q,G))[0,0]
+
+def xytokappaalpha(x,y):
+
+ if y>0:
+ return [np.sqrt(x**2+y**2), np.abs(np.arctan2(y,x))]
+ else:
+ return [-np.sqrt(x**2+y**2), np.abs(np.arctan2(y,x))]
+
+# Read effective quantites
+def ReadEffectiveQuantities(QFilePath, BFilePath):
+ # Read Output Matrices (effective quantities)
+ # From Cell-Problem output Files : ../outputs/Qmatrix.txt , ../outputs/Bmatrix.txt
+ # -- Read Matrix Qhom
+ X = []
+ # with codecs.open(path + '/outputs/QMatrix.txt', encoding='utf-8-sig') as f:
+ with codecs.open(QFilePath, encoding='utf-8-sig') as f:
+ for line in f:
+ s = line.split()
+ X.append([float(s[i]) for i in range(len(s))])
+ Q = np.array([[X[0][2], X[1][2], X[2][2]],
+ [X[3][2], X[4][2], X[5][2]],
+ [X[6][2], X[7][2], X[8][2]] ])
+
+ # -- Read Beff (as Vector)
+ X = []
+ # with codecs.open(path + '/outputs/BMatrix.txt', encoding='utf-8-sig') as f:
+ with codecs.open(BFilePath, encoding='utf-8-sig') as f:
+ for line in f:
+ s = line.split()
+ X.append([float(s[i]) for i in range(len(s))])
+ B = np.array([X[0][2], X[1][2], X[2][2]])
+ return Q, B
+
+number=4
+kappa=np.zeros(number)
+select=range(0,number)
+select=[3]
+for n in select:
+ # Read from Date
+ print(str(n))
+ Path='./experiment/theoretical/results_test1/'
+ Path="./results_test1/"
+ DataPath = Path+str(n)
+ QFilePath = DataPath + '/QMatrix.txt'
+ BFilePath = DataPath + '/BMatrix.txt'
+ Q, B = ReadEffectiveQuantities(QFilePath,BFilePath)
+ # Q=0.5*(np.transpose(Q)+Q) # symmetrize
+ B=np.transpose([B])
+ #
+
+ N=500
+ length=0.8
+ r, theta = np.meshgrid(np.linspace(0,length,N),np.radians(np.linspace(0, 360, N)))
+ E=np.zeros(np.shape(r))
+ for i in range(0,N):
+ for j in range(0,N):
+ if theta[i,j]<np.pi:
+ E[i,j]=energy(r[i,j],theta[i,j],Q,B)
+ else:
+ E[i,j]=energy(-r[i,j],theta[i,j],Q,B)
+
+ # Compute Minimizer
+ [imin,jmin]=np.unravel_index(E.argmin(),(N,N))
+ kappamin=r[imin,jmin]
+ alphamin=theta[imin,jmin]
+ kappa[n]=kappamin
+ fig, ax = plt.subplots(figsize=(6,6),subplot_kw=dict(projection='polar'))
+ levs=np.geomspace(E.min(),E.max(),400)
+ pcm=ax.contourf(theta, r, E, levs, norm=colors.PowerNorm(gamma=0.2), cmap='brg')
+ ax.set_xticks([0,np.pi/2])
+ ax.set_yticks([kappamin])
+ colorbarticks=np.linspace(E.min(),E.max(),6)
+ plt.colorbar(pcm, extend='max', ticks=colorbarticks, pad=0.1)
+ plt.show()
+ print("Symmetrigap: "+str(energy(-kappamin,0,Q,B)-energy(kappamin,np.pi/2,Q,B)))
+
+
+f = open(Path+"kappa_simulation.txt", "w")
+f.write("kappa = "+str(kappa))
+f.write("deflection angle = "+str(deflection))
+f.close()
+
+theta_n=[1, 2, 4]
+plt.scatter(theta_n, kappa, marker='x')
+plt.show()
+
diff --git a/experiment/theoretical/__pycache__/elasticity_toolbox.cpython-310.pyc b/experiment/theoretical/__pycache__/elasticity_toolbox.cpython-310.pyc
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diff --git a/experiment/theoretical/auswertung_test1.py b/experiment/theoretical/auswertung_test1.py
new file mode 100644
index 00000000..09e4a5d6
--- /dev/null
+++ b/experiment/theoretical/auswertung_test1.py
@@ -0,0 +1,29 @@
+#!/usr/bin/env python3
+# -*- coding: utf-8 -*-
+"""
+Created on Wed Jul 6 13:17:28 2022
+
+@author: stefan
+"""
+import numpy as np
+import matplotlib.pyplot as plt
+import matplotlib.colors as colors
+from matplotlib.ticker import StrMethodFormatter
+import codecs
+
+kappa=[0.01274549, 0.03967936, 0.06348697, 0.07406814]
+theta_r=[1/8, 1/4, 3/8, 1/2]
+# plotting a line plot after changing it's width and height
+f = plt.figure()
+f.set_figwidth(3)
+f.set_figheight(3)
+plt.gca().yaxis.set_major_formatter(StrMethodFormatter('{x:,.3f}')) # 2 decimal places
+plt.gca().xaxis.set_major_formatter(StrMethodFormatter('{x:,.3f}')) # 2 decimal places
+plt.scatter(theta_r, kappa, marker='D')
+plt.xticks(theta_r)
+plt.yticks(kappa)
+plt.ylabel(r"$\kappa$")
+plt.xlabel(r"$r$")
+plt.legend()
+plt.show()
+
diff --git a/experiment/theoretical/auswertung_test2.py b/experiment/theoretical/auswertung_test2.py
new file mode 100644
index 00000000..402b7f82
--- /dev/null
+++ b/experiment/theoretical/auswertung_test2.py
@@ -0,0 +1,102 @@
+#!/usr/bin/env python3
+# -*- coding: utf-8 -*-
+"""
+Created on Wed Jul 6 13:17:28 2022
+
+@author: stefan
+"""
+import numpy as np
+import matplotlib.pyplot as plt
+import matplotlib.colors as colors
+import codecs
+
+
+
+def energy(kappa,alpha,Q,B) :
+ G=kappa*np.array([[np.cos(alpha)**2],[np.sin(alpha)**2],[np.sqrt(2)*np.cos(alpha)*np.sin(alpha)]])-B
+ return np.matmul(np.transpose(G),np.matmul(Q,G))[0,0]
+
+def xytokappaalpha(x,y):
+
+ if y>0:
+ return [np.sqrt(x**2+y**2), np.abs(np.arctan2(y,x))]
+ else:
+ return [-np.sqrt(x**2+y**2), np.abs(np.arctan2(y,x))]
+
+# Read effective quantites
+def ReadEffectiveQuantities(QFilePath, BFilePath):
+ # Read Output Matrices (effective quantities)
+ # From Cell-Problem output Files : ../outputs/Qmatrix.txt , ../outputs/Bmatrix.txt
+ # -- Read Matrix Qhom
+ X = []
+ # with codecs.open(path + '/outputs/QMatrix.txt', encoding='utf-8-sig') as f:
+ with codecs.open(QFilePath, encoding='utf-8-sig') as f:
+ for line in f:
+ s = line.split()
+ X.append([float(s[i]) for i in range(len(s))])
+ Q = np.array([[X[0][2], X[1][2], X[2][2]],
+ [X[3][2], X[4][2], X[5][2]],
+ [X[6][2], X[7][2], X[8][2]] ])
+
+ # -- Read Beff (as Vector)
+ X = []
+ # with codecs.open(path + '/outputs/BMatrix.txt', encoding='utf-8-sig') as f:
+ with codecs.open(BFilePath, encoding='utf-8-sig') as f:
+ for line in f:
+ s = line.split()
+ X.append([float(s[i]) for i in range(len(s))])
+ B = np.array([X[0][2], X[1][2], X[2][2]])
+ return Q, B
+
+number=3
+kappa=np.zeros(number)
+select=range(0,number)
+#select=[0]
+for n in select:
+ # Read from Date
+ print(str(n))
+ # Path='./experiment/theoretical/results_test2/'
+ Path="./results_test2/"
+ DataPath = Path+str(n)
+ QFilePath = DataPath + '/QMatrix.txt'
+ BFilePath = DataPath + '/BMatrix.txt'
+ Q, B = ReadEffectiveQuantities(QFilePath,BFilePath)
+ # Q=0.5*(np.transpose(Q)+Q) # symmetrize
+ B=np.transpose([B])
+ #
+
+ N=500
+ length=0.8
+ r, theta = np.meshgrid(np.linspace(0,length,N),np.radians(np.linspace(0, 360, N)))
+ E=np.zeros(np.shape(r))
+ for i in range(0,N):
+ for j in range(0,N):
+ if theta[i,j]<np.pi:
+ E[i,j]=energy(r[i,j],theta[i,j],Q,B)
+ else:
+ E[i,j]=energy(-r[i,j],theta[i,j],Q,B)
+
+ # Compute Minimizer
+ [imin,jmin]=np.unravel_index(E.argmin(),(N,N))
+ kappamin=r[imin,jmin]
+ alphamin=theta[imin,jmin]
+ kappa[n]=kappamin
+ fig, ax = plt.subplots(figsize=(6,6),subplot_kw=dict(projection='polar'))
+ levs=np.geomspace(E.min(),E.max(),400)
+ pcm=ax.contourf(theta, r, E, levs, norm=colors.PowerNorm(gamma=0.2), cmap='brg')
+ ax.set_xticks([0,np.pi/2])
+ ax.set_yticks([kappamin])
+ colorbarticks=np.linspace(E.min(),E.max(),6)
+ #plt.colorbar(pcm, extend='max', ticks=colorbarticks, pad=0.1)
+ plt.show()
+ print("Symmetrigap: "+str(np.abs(energy(-kappamin,0,Q,B)-energy(kappamin,np.pi/2,Q,B))/E.min()))
+
+
+f = open(Path+"kappa_simulation.txt", "w")
+f.write("kappa = "+str(kappa))
+f.close()
+
+theta_n=[1, 2, 4]
+plt.scatter(theta_n, kappa, marker='x')
+plt.show()
+
diff --git a/experiment/theoretical/auswertung_test3.py b/experiment/theoretical/auswertung_test3.py
new file mode 100644
index 00000000..7e09b89a
--- /dev/null
+++ b/experiment/theoretical/auswertung_test3.py
@@ -0,0 +1,103 @@
+#!/usr/bin/env python3
+# -*- coding: utf-8 -*-
+"""
+Created on Wed Jul 6 13:17:28 2022
+
+@author: stefan
+"""
+import numpy as np
+import matplotlib.pyplot as plt
+import matplotlib.colors as colors
+import codecs
+
+
+
+def energy(kappa,alpha,Q,B) :
+ G=kappa*np.array([[np.cos(alpha)**2],[np.sin(alpha)**2],[np.sqrt(2)*np.cos(alpha)*np.sin(alpha)]])-B
+ return np.matmul(np.transpose(G),np.matmul(Q,G))[0,0]
+
+def xytokappaalpha(x,y):
+
+ if y>0:
+ return [np.sqrt(x**2+y**2), np.abs(np.arctan2(y,x))]
+ else:
+ return [-np.sqrt(x**2+y**2), np.abs(np.arctan2(y,x))]
+
+# Read effective quantites
+def ReadEffectiveQuantities(QFilePath, BFilePath):
+ # Read Output Matrices (effective quantities)
+ # From Cell-Problem output Files : ../outputs/Qmatrix.txt , ../outputs/Bmatrix.txt
+ # -- Read Matrix Qhom
+ X = []
+ # with codecs.open(path + '/outputs/QMatrix.txt', encoding='utf-8-sig') as f:
+ with codecs.open(QFilePath, encoding='utf-8-sig') as f:
+ for line in f:
+ s = line.split()
+ X.append([float(s[i]) for i in range(len(s))])
+ Q = np.array([[X[0][2], X[1][2], X[2][2]],
+ [X[3][2], X[4][2], X[5][2]],
+ [X[6][2], X[7][2], X[8][2]] ])
+
+ # -- Read Beff (as Vector)
+ X = []
+ # with codecs.open(path + '/outputs/BMatrix.txt', encoding='utf-8-sig') as f:
+ with codecs.open(BFilePath, encoding='utf-8-sig') as f:
+ for line in f:
+ s = line.split()
+ X.append([float(s[i]) for i in range(len(s))])
+ B = np.array([X[0][2], X[1][2], X[2][2]])
+ return Q, B
+
+number=1
+kappa=np.zeros(number)
+select=range(0,number)
+#select=[0]
+for n in select:
+ # Read from Date
+ print(str(n))
+ # Path='./experiment/theoretical/results_test2/'
+ Path="./results_test3/"
+ DataPath = Path+str(n)
+ QFilePath = DataPath + '/QMatrix.txt'
+ BFilePath = DataPath + '/BMatrix.txt'
+ Q, B = ReadEffectiveQuantities(QFilePath,BFilePath)
+ # Q=0.5*(np.transpose(Q)+Q) # symmetrize
+ B=np.transpose([B])
+ #
+
+ N=500
+ length=0.3
+ r, theta = np.meshgrid(np.linspace(0,length,N),np.radians(np.linspace(0, 360, N)))
+ E=np.zeros(np.shape(r))
+ for i in range(0,N):
+ for j in range(0,N):
+ if theta[i,j]<np.pi:
+ E[i,j]=energy(r[i,j],theta[i,j],Q,B)
+ else:
+ E[i,j]=energy(-r[i,j],theta[i,j],Q,B)
+
+ # Compute Minimizer
+ [imin,jmin]=np.unravel_index(E.argmin(),(N,N))
+ kappamin=r[imin,jmin]
+ alphamin=theta[imin,jmin]
+ kappa[n]=kappamin
+ fig, ax = plt.subplots(figsize=(6,6),subplot_kw=dict(projection='polar'))
+ levs=np.geomspace(E.min(),E.max(),400)
+ pcm=ax.contourf(theta, r, E, levs, norm=colors.PowerNorm(gamma=0.2), cmap='brg')
+ ax.set_xticks([0,np.pi/2])
+ ax.set_yticks([kappamin])
+ colorbarticks=np.linspace(E.min(),E.max(),6)
+ plt.colorbar(pcm, extend='max', ticks=colorbarticks, pad=0.1)
+ plt.show()
+ print("Symmetrigap: "+str(np.abs(energy(-kappamin,0,Q,B)-energy(kappamin,np.pi/2,Q,B))/E.min()))
+
+
+f = open(Path+"kappa_simulation.txt", "w")
+f.write("kappa = "+str(kappa))
+f.write("deflection angle = "+str(deflection))
+f.close()
+
+theta_n=[1, 2, 4]
+plt.scatter(theta_n, kappa, marker='x')
+plt.show()
+
diff --git a/experiment/theoretical/cellsolver.parset b/experiment/theoretical/cellsolver.parset
new file mode 100644
index 00000000..bc4c4e70
--- /dev/null
+++ b/experiment/theoretical/cellsolver.parset
@@ -0,0 +1,95 @@
+# --- Parameter File as Input for 'Cell-Problem'
+# NOTE: define variables without whitespaces in between! i.e. : gamma=1.0 instead of gamma = 1.0
+# since otherwise these cant be read from other Files!
+# --------------------------------------------------------
+
+# Path for results and logfile
+outputPath=./experiment/theoretical/results_test2/2
+
+# Path for material description
+geometryFunctionPath =experiment/theoretical/
+
+
+# --- DEBUG (Output) Option:
+#print_debug = true #(default=false)
+
+
+
+
+#############################################
+# Grid parameters
+#############################################
+#----------------------------------------------------
+## numLevels : Number of Levels on which solution is computed. starting with a 2x2x2 cube mesh.
+## {start,finish} computes on all grid from 2^(start) to 2^finish refinement
+#----------------------------------------------------
+
+numLevels=4 4
+#numLevels = 1 1 # computes all levels from first to second entry
+#numLevels = 2 2 # computes all levels from first to second entry
+#numLevels = 1 3 # computes all levels from first to second entry
+#numLevels = 4 4 # computes all levels from first to second entry
+#numLevels = 5 5 # computes all levels from first to second entry
+#numLevels = 6 6 # computes all levels from first to second entry
+#numLevels = 1 6
+
+
+#############################################
+# Material / Prestrain parameters and ratios
+#############################################
+
+# --- Choose material definition:
+materialFunction = theoretical_material2
+
+
+
+# --- Choose scale ratio gamma:
+gamma=1
+
+#############################################
+# Assembly options
+#############################################
+#set_IntegralZero = true #(default = false)
+#set_oneBasisFunction_Zero = true #(default = false)
+
+#arbitraryLocalIndex = 7 #(default = 0)
+#arbitraryElementNumber = 3 #(default = 0)
+#############################################
+
+
+#############################################
+# Solver Type: #1: CG - SOLVER , #2: GMRES - SOLVER, #3: QR - SOLVER (default), #4: UMFPACK - SOLVER
+#############################################
+Solvertype = 2 # recommended to use iterative solver (e.g GMRES) for finer grid-levels
+Solver_verbosity = 0 #(default = 2) degree of information for solver output
+
+
+#############################################
+# Write/Output options #(default=false)
+#############################################
+
+# --- (Optional output) write Material / prestrain / Corrector functions to .vtk-Files:
+write_materialFunctions = true # VTK indicator function for material/prestrain definition
+#write_prestrainFunctions = true # VTK norm of B (currently not implemented)
+
+# --- Write Correctos to VTK-File:
+write_VTK = true
+
+# --- (Optional output) L2Error, integral mean:
+#write_L2Error = true
+#write_IntegralMean = true
+
+# --- check orthogonality (75) from paper:
+write_checkOrthogonality = true
+
+# --- Write corrector-coefficients to log-File:
+#write_corrector_phi1 = true
+#write_corrector_phi2 = true
+#write_corrector_phi3 = true
+
+
+# --- Print Condition number of matrix (can be expensive):
+#print_conditionNumber= true #(default=false)
+
+# --- write effective quantities to Matlab-folder for symbolic minimization:
+write_toMATLAB = true # writes effective quantities to .txt-files QMatrix.txt and BMatrix.txt
diff --git a/experiment/theoretical/elasticity_toolbox.py b/experiment/theoretical/elasticity_toolbox.py
new file mode 100644
index 00000000..8e619526
--- /dev/null
+++ b/experiment/theoretical/elasticity_toolbox.py
@@ -0,0 +1,123 @@
+import math
+import numpy as np
+
+
+def strain_to_voigt(strain_matrix):
+ # Ensure the input matrix is a 3x3 strain matrix
+ if strain_matrix.shape != (3, 3):
+ raise ValueError("Input matrix should be a 3x3 strain matrix.")
+
+ # Extract the components from the 3x3 strain matrix
+ ε_xx = strain_matrix[0, 0]
+ ε_yy = strain_matrix[1, 1]
+ ε_zz = strain_matrix[2, 2]
+ γ_yz = .5*(strain_matrix[1, 2]+strain_matrix[2,1])
+ γ_xz = .5*(strain_matrix[0, 2]+strain_matrix[0,2])
+ γ_xy = .5*(strain_matrix[0, 1]+strain_matrix[0,1])
+
+ # Create the Voigt notation vector
+ voigt_notation = np.array([ε_xx, ε_yy, ε_zz, γ_yz, γ_xz, γ_xy])
+
+ return voigt_notation
+
+def voigt_to_strain(voigt_notation):
+ # Ensure the input vector has 6 elements
+ if len(voigt_notation) != 6:
+ raise ValueError("Input vector should have 6 elements in Voigt notation.")
+
+ # Extract the components from the Voigt notation vector
+ ε_xx = voigt_notation[0]
+ ε_yy = voigt_notation[1]
+ ε_zz = voigt_notation[2]
+ γ_yz = voigt_notation[3]
+ γ_xz = voigt_notation[4]
+ γ_xy = voigt_notation[5]
+
+ # Create the 3x3 strain matrix
+ strain_matrix = np.array([[ε_xx, γ_xy, γ_xz],
+ [γ_xy, ε_yy, γ_yz],
+ [γ_xz, γ_yz, ε_zz]])
+
+ return strain_matrix
+
+
+def rotation_matrix(ax, angle):
+ cos_theta = np.cos(angle)
+ sin_theta = np.sin(angle)
+ if ax==0:
+ Q=np.array([[0, 0, 1],
+ [0,1,0],
+ [-1,0,0]
+ ])
+ elif ax==1:
+ Q=np.array([[1, 0, 0],
+ [0,0,1],
+ [0,-1,0]
+ ])
+ else:
+ Q=np.array([[1, 0, 0],
+ [0,1,0],
+ [0,0,1]
+ ])
+
+ R = np.array([[cos_theta, -sin_theta, 0],
+ [sin_theta, cos_theta, 0],
+ [0, 0, 1]])
+ return np.dot(np.dot(Q.T, R),Q)
+
+def rotation_matrix_compliance(ax,theta):
+ R=rotation_matrix(ax,theta)
+ Q_xx=R[0,0]
+ Q_xy=R[0,1]
+ Q_xz=R[0,2]
+ Q_yx=R[1,0]
+ Q_yy=R[1,1]
+ Q_yz=R[1,2]
+ Q_zx=R[2,0]
+ Q_zy=R[2,1]
+ Q_zz=R[2,2]
+ return np.array([
+ [Q_xx**2, Q_xy**2, Q_xz**2, Q_xy*Q_xz, Q_xx*Q_xz, Q_xx*Q_xy],
+ [Q_yx**2, Q_yy**2, Q_yz**2, Q_yy*Q_yz, Q_yx*Q_yz, Q_yx*Q_yy],
+ [Q_zx**2, Q_zy**2, Q_zz**2, Q_zy*Q_zz, Q_zx*Q_zz, Q_zx*Q_zy],
+ [2*Q_yx*Q_zx, 2*Q_yy*Q_zy, 2*Q_yz*Q_zz, Q_yy*Q_zz + Q_yz*Q_zy, Q_yx*Q_zz + Q_yz*Q_zx, Q_yx*Q_zy + Q_yy*Q_zx],
+ [2*Q_xx*Q_zx, 2*Q_xy*Q_zy, 2*Q_xz*Q_zz, Q_xy*Q_zz + Q_xz*Q_zy, Q_xx*Q_zz + Q_xz*Q_zx, Q_xx*Q_zy + Q_xy*Q_zx],
+ [2*Q_xx*Q_yx, 2*Q_xy*Q_yy, 2*Q_xz*Q_yz, Q_xy*Q_yz + Q_xz*Q_yy, Q_xx*Q_yz + Q_xz*Q_yx, Q_xx*Q_yy + Q_xy*Q_yx]
+ ])
+
+def rotate_strain(eps, ax, theta):
+ B=voigt_to_strain(np.matmul(rotation_matrix_epsilon(theta,ax),strain_to_voigt(eps)))
+
+import numpy as np
+
+def voigt_to_tensor(voigt_matrix):
+ tensor = np.zeros((6, 6))
+
+ tensor[0, 0] = voigt_matrix[0]
+ tensor[0, 1] = tensor[1, 0] = voigt_matrix[1]
+ tensor[0, 2] = tensor[2, 0] = voigt_matrix[2]
+ tensor[0, 3] = tensor[3, 0] = voigt_matrix[3]
+ tensor[0, 4] = tensor[4, 0] = voigt_matrix[4]
+ tensor[0, 5] = tensor[5, 0] = voigt_matrix[5]
+
+ tensor[1, 1] = voigt_matrix[6]
+ tensor[1, 2] = tensor[2, 1] = voigt_matrix[7]
+ tensor[1, 3] = tensor[3, 1] = voigt_matrix[8]
+ tensor[1, 4] = tensor[4, 1] = voigt_matrix[9]
+ tensor[1, 5] = tensor[5, 1] = voigt_matrix[10]
+
+ tensor[2, 2] = voigt_matrix[11]
+ tensor[2, 3] = tensor[3, 2] = voigt_matrix[12]
+ tensor[2, 4] = tensor[4, 2] = voigt_matrix[13]
+ tensor[2, 5] = tensor[5, 2] = voigt_matrix[14]
+
+ tensor[3, 3] = voigt_matrix[15]
+ tensor[3, 4] = tensor[4, 3] = voigt_matrix[16]
+ tensor[3, 5] = tensor[5, 3] = voigt_matrix[17]
+
+ tensor[4, 4] = voigt_matrix[18]
+ tensor[4, 5] = tensor[5, 4] = voigt_matrix[19]
+
+ tensor[5, 5] = voigt_matrix[20]
+
+ return tensor
diff --git a/experiment/theoretical/geometry_tmp/rve.pvsm b/experiment/theoretical/geometry_tmp/rve.pvsm
new file mode 100644
index 00000000..66a8ae15
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+ <Entry value="2" text="Always Auto Shift Scale"/>
+ <Entry value="4" text="Auto Shift Only"/>
+ <Entry value="5" text="Near Focal Plane Shift Scale"/>
+ <Entry value="6" text="Focal Point Shift Scale"/>
+ </Domain>
+ </Property>
+ <Property name="CustomShader" id="7597.CustomShader" number_of_elements="1">
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 // Please take a look into vtkSMPointGaussianRepresentation.cxx
 // for other custom shader examples
 //VTK::Color::Impl
 float dist2 = dot(offsetVCVSOutput.xy,offsetVCVSOutput.xy);
 float gaussian = exp(-0.5*dist2);
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+ </Property>
+ <Property name="EdgeColor" id="7597.EdgeColor" number_of_elements="3">
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+ <Property name="EmissiveTexture" id="7597.EmissiveTexture">
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+ <String text="None"/>
+ <String text="indicatorFunction_P1"/>
+ <String text="indicatorFunction_P0"/>
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+ <Property name="GlyphType" id="7597.GlyphType" number_of_elements="1">
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+ <Domain name="proxy_list" id="7597.GlyphType.proxy_list">
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+ <Property name="InteractiveSelectionColor" id="7597.InteractiveSelectionColor" number_of_elements="3">
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+ <Property name="InterpolateScalarsBeforeMapping" id="7597.InterpolateScalarsBeforeMapping" number_of_elements="1">
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+ <Property name="InterpolateTextures" id="7597.InterpolateTextures" number_of_elements="1">
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+ <Domain name="bool" id="7597.InterpolateTextures.bool"/>
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+ <Domain name="enum" id="7597.Interpolation.enum">
+ <Entry value="0" text="Flat"/>
+ <Entry value="1" text="Gouraud"/>
+ <Entry value="3" text="PBR"/>
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+ </Property>
+ <Property name="LODValues" id="7597.LODValues">
+ <Domain name="scalar_range" id="7597.LODValues.scalar_range"/>
+ </Property>
+ <Property name="LineWidth" id="7597.LineWidth" number_of_elements="1">
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+ <Property name="LookupTable" id="7597.LookupTable">
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+ <Property name="Luminosity" id="7597.Luminosity" number_of_elements="1">
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+ </Property>
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+ <Property name="Metallic" id="7597.Metallic" number_of_elements="1">
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+ <Property name="MultiComponentsMapping" id="7597.MultiComponentsMapping" number_of_elements="1">
+ <Element index="0" value="0"/>
+ <Domain name="bool" id="7597.MultiComponentsMapping.bool"/>
+ </Property>
+ <Property name="NonlinearSubdivisionLevel" id="7597.NonlinearSubdivisionLevel" number_of_elements="1">
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+ <Property name="NormalScale" id="7597.NormalScale" number_of_elements="1">
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+ <Property name="NormalTexture" id="7597.NormalTexture">
+ <Domain name="groups" id="7597.NormalTexture.groups"/>
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+ <Domain name="string_list" id="7597.OSPRayMaterial.string_list"/>
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+ <String text="indicatorFunction_P1"/>
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+ </Property>
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+ <Domain name="groups" id="7597.OSPRayScaleFunction.groups"/>
+ <Domain name="proxy_list" id="7597.OSPRayScaleFunction.proxy_list">
+ <Proxy value="7569"/>
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+ </Property>
+ <Property name="OSPRayUseScaleArray" id="7597.OSPRayUseScaleArray" number_of_elements="1">
+ <Element index="0" value="0"/>
+ <Domain name="enum" id="7597.OSPRayUseScaleArray.enum">
+ <Entry value="-1" text="All Exact"/>
+ <Entry value="0" text="All Approximate"/>
+ <Entry value="1" text="Each Scaled"/>
+ <Entry value="2" text="Each Exact"/>
+ </Domain>
+ </Property>
+ <Property name="OcclusionStrength" id="7597.OcclusionStrength" number_of_elements="1">
+ <Element index="0" value="1"/>
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+ <Property name="Opacity" id="7597.Opacity" number_of_elements="1">
+ <Element index="0" value="0.68"/>
+ <Domain name="range" id="7597.Opacity.range"/>
+ </Property>
+ <Property name="OpacityArray" id="7597.OpacityArray" number_of_elements="5">
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+ <Element index="2" value=""/>
+ <Element index="3" value="0"/>
+ <Element index="4" value="indicatorFunction_P1"/>
+ <Domain name="array_list" id="7597.OpacityArray.array_list">
+ <String text="indicatorFunction_P1"/>
+ </Domain>
+ </Property>
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+ <Domain name="comps" id="7597.OpacityArrayComponent.comps">
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+ </Property>
+ <Property name="OpacityArrayName" id="7597.OpacityArrayName" number_of_elements="5">
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+ <Element index="2" value=""/>
+ <Element index="3" value="0"/>
+ <Element index="4" value="indicatorFunction_P1"/>
+ <Domain name="array_list" id="7597.OpacityArrayName.array_list">
+ <String text="indicatorFunction_P1"/>
+ <String text="indicatorFunction_P0"/>
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+ </Property>
+ <Property name="OpacityByArray" id="7597.OpacityByArray" number_of_elements="1">
+ <Element index="0" value="0"/>
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+ </Property>
+ <Property name="OpacityComponent" id="7597.OpacityComponent" number_of_elements="1">
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+ <Property name="OpacityTransferFunction" id="7597.OpacityTransferFunction" number_of_elements="1">
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+ <Element index="0" value="0"/>
+ <Domain name="enum" id="7597.OrientationMode.enum">
+ <Entry value="0" text="Direction"/>
+ <Entry value="1" text="Rotation"/>
+ <Entry value="2" text="Quaternion"/>
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+ <Property name="Pickable" id="7597.Pickable" number_of_elements="1">
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+ <Property name="RepeatTextures" id="7597.RepeatTextures" number_of_elements="1">
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+ <Property name="Roughness" id="7597.Roughness" number_of_elements="1">
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+ <Property name="ScalarOpacityFunction" id="7597.ScalarOpacityFunction">
+ <Domain name="groups" id="7597.ScalarOpacityFunction.groups"/>
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+ <Entry value="0" text="No Data Scaling Off"/>
+ <Entry value="1" text="Magnitude"/>
+ <Entry value="2" text="Vector Components"/>
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+ <Property name="ScaleTransferFunction" id="7597.ScaleTransferFunction" number_of_elements="1">
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+ <String text="Z sweep"/>
+ <String text="Bunyk ray cast"/>
+ <String text="Resample To Image"/>
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+ <Property name="SelectMaskArray" id="7597.SelectMaskArray" number_of_elements="1">
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+ <Property name="SelectOrientationVectors" id="7597.SelectOrientationVectors" number_of_elements="1">
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+ <Element index="0" value="indicatorFunction_P1"/>
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+ <String text="indicatorFunction_P1"/>
+ <String text="indicatorFunction_P0"/>
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+ <Property name="SelectTCoordArray" id="7597.SelectTCoordArray" number_of_elements="1">
+ <Element index="0" value="None"/>
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+ <String text="None"/>
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+ <Property name="SelectionCellLabelColor" id="7597.SelectionCellLabelColor" number_of_elements="3">
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+ <Domain name="range" id="7597.SelectionCellLabelColor.range"/>
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+ <Property name="SelectionCellLabelFontFile" id="7597.SelectionCellLabelFontFile" number_of_elements="1">
+ <Element index="0" value=""/>
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+ <Property name="SelectionCellLabelFontSize" id="7597.SelectionCellLabelFontSize" number_of_elements="1">
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+ <Property name="SelectionOpacity" id="7597.SelectionOpacity" number_of_elements="1">
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+ <Property name="SelectionPointLabelFormat" id="7597.SelectionPointLabelFormat" number_of_elements="1">
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+ <Property name="SelectionPointLabelItalic" id="7597.SelectionPointLabelItalic" number_of_elements="1">
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+ <Property name="SelectionPointLabelOpacity" id="7597.SelectionPointLabelOpacity" number_of_elements="1">
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+ </Property>
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+ <String text="Surface"/>
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 float dist2 = dot(offsetVCVSOutput.xy,offsetVCVSOutput.xy);
 float gaussian = exp(-0.5*dist2);
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+ <Property name="SelectionVisibility" id="8189.SelectionVisibility" number_of_elements="1">
+ <Element index="0" value="1"/>
+ <Domain name="bool" id="8189.SelectionVisibility.bool"/>
+ </Property>
+ <Property name="Visibility" id="8189.Visibility" number_of_elements="1">
+ <Element index="0" value="1"/>
+ <Domain name="bool" id="8189.Visibility.bool"/>
+ </Property>
+ <Property name="Ambient" id="8189.Ambient" number_of_elements="1">
+ <Element index="0" value="0"/>
+ <Domain name="range" id="8189.Ambient.range"/>
+ </Property>
+ <Property name="AmbientColor" id="8189.AmbientColor" number_of_elements="3">
+ <Element index="0" value="0"/>
+ <Element index="1" value="0"/>
+ <Element index="2" value="1"/>
+ <Domain name="range" id="8189.AmbientColor.range"/>
+ </Property>
+ <Property name="Anisotropy" id="8189.Anisotropy" number_of_elements="1">
+ <Element index="0" value="0"/>
+ <Domain name="range" id="8189.Anisotropy.range"/>
+ </Property>
+ <Property name="AnisotropyRotation" id="8189.AnisotropyRotation" number_of_elements="1">
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+ <Domain name="range" id="8189.AnisotropyRotation.range"/>
+ </Property>
+ <Property name="AnisotropyTexture" id="8189.AnisotropyTexture">
+ <Domain name="groups" id="8189.AnisotropyTexture.groups"/>
+ </Property>
+ <Property name="BackfaceAmbientColor" id="8189.BackfaceAmbientColor" number_of_elements="3">
+ <Element index="0" value="1"/>
+ <Element index="1" value="1"/>
+ <Element index="2" value="1"/>
+ <Domain name="range" id="8189.BackfaceAmbientColor.range"/>
+ </Property>
+ <Property name="BackfaceDiffuseColor" id="8189.BackfaceDiffuseColor" number_of_elements="3">
+ <Element index="0" value="1"/>
+ <Element index="1" value="1"/>
+ <Element index="2" value="1"/>
+ <Domain name="range" id="8189.BackfaceDiffuseColor.range"/>
+ </Property>
+ <Property name="BackfaceOpacity" id="8189.BackfaceOpacity" number_of_elements="1">
+ <Element index="0" value="1"/>
+ <Domain name="range" id="8189.BackfaceOpacity.range"/>
+ </Property>
+ <Property name="BackfaceRepresentation" id="8189.BackfaceRepresentation" number_of_elements="1">
+ <Element index="0" value="400"/>
+ <Domain name="enum" id="8189.BackfaceRepresentation.enum">
+ <Entry value="400" text="Follow Frontface"/>
+ <Entry value="401" text="Cull Backface"/>
+ <Entry value="402" text="Cull Frontface"/>
+ <Entry value="0" text="Points"/>
+ <Entry value="1" text="Wireframe"/>
+ <Entry value="2" text="Surface"/>
+ <Entry value="3" text="Surface With Edges"/>
+ </Domain>
+ </Property>
+ <Property name="BaseColorTexture" id="8189.BaseColorTexture">
+ <Domain name="groups" id="8189.BaseColorTexture.groups"/>
+ </Property>
+ <Property name="BaseIOR" id="8189.BaseIOR" number_of_elements="1">
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+ <Domain name="range" id="8189.BaseIOR.range"/>
+ </Property>
+ <Property name="BlockColors" id="8189.BlockColors">
+ <Domain name="data_assembly" id="8189.BlockColors.data_assembly"/>
+ </Property>
+ <Property name="BlockColorsDistinctValues" id="8189.BlockColorsDistinctValues" number_of_elements="1">
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+ </Property>
+ <Property name="BlockOpacities" id="8189.BlockOpacities">
+ <Domain name="data_assembly" id="8189.BlockOpacities.data_assembly"/>
+ </Property>
+ <Property name="BlockSelectors" id="8189.BlockSelectors" number_of_elements="1">
+ <Element index="0" value="/"/>
+ <Domain name="data_assembly" id="8189.BlockSelectors.data_assembly"/>
+ </Property>
+ <Property name="CoatColor" id="8189.CoatColor" number_of_elements="3">
+ <Element index="0" value="1"/>
+ <Element index="1" value="1"/>
+ <Element index="2" value="1"/>
+ <Domain name="range" id="8189.CoatColor.range"/>
+ </Property>
+ <Property name="CoatIOR" id="8189.CoatIOR" number_of_elements="1">
+ <Element index="0" value="2"/>
+ <Domain name="range" id="8189.CoatIOR.range"/>
+ </Property>
+ <Property name="CoatNormalScale" id="8189.CoatNormalScale" number_of_elements="1">
+ <Element index="0" value="1"/>
+ <Domain name="range" id="8189.CoatNormalScale.range"/>
+ </Property>
+ <Property name="CoatNormalTexture" id="8189.CoatNormalTexture">
+ <Domain name="groups" id="8189.CoatNormalTexture.groups"/>
+ </Property>
+ <Property name="CoatRoughness" id="8189.CoatRoughness" number_of_elements="1">
+ <Element index="0" value="0"/>
+ <Domain name="range" id="8189.CoatRoughness.range"/>
+ </Property>
+ <Property name="CoatStrength" id="8189.CoatStrength" number_of_elements="1">
+ <Element index="0" value="0"/>
+ <Domain name="range" id="8189.CoatStrength.range"/>
+ </Property>
+ <Property name="ColorArrayName" id="8189.ColorArrayName" number_of_elements="5">
+ <Element index="0" value=""/>
+ <Element index="1" value=""/>
+ <Element index="2" value=""/>
+ <Element index="3" value="0"/>
+ <Element index="4" value=""/>
+ <Domain name="array_list" id="8189.ColorArrayName.array_list">
+ <String text="indicatorFunction_P1"/>
+ <String text="indicatorFunction_P0"/>
+ </Domain>
+ </Property>
+ <Property name="ColorByLODIndex" id="8189.ColorByLODIndex" number_of_elements="1">
+ <Element index="0" value="0"/>
+ <Domain name="bool" id="8189.ColorByLODIndex.bool"/>
+ </Property>
+ <Property name="CoordinateShiftScaleMethod" id="8189.CoordinateShiftScaleMethod" number_of_elements="1">
+ <Element index="0" value="2"/>
+ <Domain name="enum" id="8189.CoordinateShiftScaleMethod.enum">
+ <Entry value="0" text="Disable"/>
+ <Entry value="1" text="Auto Shift Scale"/>
+ <Entry value="2" text="Always Auto Shift Scale"/>
+ <Entry value="4" text="Auto Shift Only"/>
+ <Entry value="5" text="Near Focal Plane Shift Scale"/>
+ <Entry value="6" text="Focal Point Shift Scale"/>
+ </Domain>
+ </Property>
+ <Property name="CustomShader" id="8189.CustomShader" number_of_elements="1">
+ <Element index="0" value=" // This custom shader code define a gaussian blur
 // Please take a look into vtkSMPointGaussianRepresentation.cxx
 // for other custom shader examples
 //VTK::Color::Impl
 float dist2 = dot(offsetVCVSOutput.xy,offsetVCVSOutput.xy);
 float gaussian = exp(-0.5*dist2);
 opacity = opacity*gaussian;
"/>
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+ <Element index="0" value="1"/>
+ <Domain name="range" id="8189.Diffuse.range"/>
+ </Property>
+ <Property name="DiffuseColor" id="8189.DiffuseColor" number_of_elements="3">
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+ <Element index="2" value="1"/>
+ <Domain name="range" id="8189.DiffuseColor.range"/>
+ </Property>
+ <Property name="EdgeColor" id="8189.EdgeColor" number_of_elements="3">
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+ <Property name="EdgeTint" id="8189.EdgeTint" number_of_elements="3">
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+ <Element index="2" value="1"/>
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+ </Property>
+ <Property name="Emissive" id="8189.Emissive" number_of_elements="1">
+ <Element index="0" value="0"/>
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+ </Property>
+ <Property name="EmissiveFactor" id="8189.EmissiveFactor" number_of_elements="3">
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+ <Element index="2" value="1"/>
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+ </Property>
+ <Property name="EmissiveTexture" id="8189.EmissiveTexture">
+ <Domain name="groups" id="8189.EmissiveTexture.groups"/>
+ </Property>
+ <Property name="FlipTextures" id="8189.FlipTextures" number_of_elements="1">
+ <Element index="0" value="0"/>
+ <Domain name="bool" id="8189.FlipTextures.bool"/>
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+ <Property name="GaussianRadius" id="8189.GaussianRadius" number_of_elements="1">
+ <Element index="0" value="-1e+297"/>
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+ </Property>
+ <Property name="GlyphTableIndexArray" id="8189.GlyphTableIndexArray" number_of_elements="1">
+ <Element index="0" value="None"/>
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+ <String text="None"/>
+ <String text="indicatorFunction_P1"/>
+ <String text="indicatorFunction_P0"/>
+ </Domain>
+ </Property>
+ <Property name="GlyphType" id="8189.GlyphType" number_of_elements="1">
+ <Proxy value="8016" output_port="0"/>
+ <Domain name="input_type" id="8189.GlyphType.input_type"/>
+ <Domain name="proxy_list" id="8189.GlyphType.proxy_list">
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+ <Proxy value="8060"/>
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+ </Property>
+ <Property name="InteractiveSelectionColor" id="8189.InteractiveSelectionColor" number_of_elements="3">
+ <Element index="0" value="0.5"/>
+ <Element index="1" value="0"/>
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+ </Property>
+ <Property name="InterpolateScalarsBeforeMapping" id="8189.InterpolateScalarsBeforeMapping" number_of_elements="1">
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+ <Domain name="bool" id="8189.InterpolateScalarsBeforeMapping.bool"/>
+ </Property>
+ <Property name="InterpolateTextures" id="8189.InterpolateTextures" number_of_elements="1">
+ <Element index="0" value="0"/>
+ <Domain name="bool" id="8189.InterpolateTextures.bool"/>
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+ <Property name="Interpolation" id="8189.Interpolation" number_of_elements="1">
+ <Element index="0" value="1"/>
+ <Domain name="enum" id="8189.Interpolation.enum">
+ <Entry value="0" text="Flat"/>
+ <Entry value="1" text="Gouraud"/>
+ <Entry value="3" text="PBR"/>
+ </Domain>
+ </Property>
+ <Property name="LODValues" id="8189.LODValues">
+ <Domain name="scalar_range" id="8189.LODValues.scalar_range"/>
+ </Property>
+ <Property name="LineWidth" id="8189.LineWidth" number_of_elements="1">
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+ <Domain name="range" id="8189.LineWidth.range"/>
+ </Property>
+ <Property name="LookupTable" id="8189.LookupTable">
+ <Domain name="groups" id="8189.LookupTable.groups"/>
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+ <Property name="Luminosity" id="8189.Luminosity" number_of_elements="1">
+ <Element index="0" value="0"/>
+ <Domain name="range" id="8189.Luminosity.range"/>
+ </Property>
+ <Property name="MapScalars" id="8189.MapScalars" number_of_elements="1">
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+ </Property>
+ <Property name="Masking" id="8189.Masking" number_of_elements="1">
+ <Element index="0" value="0"/>
+ <Domain name="bool" id="8189.Masking.bool"/>
+ </Property>
+ <Property name="MaterialTexture" id="8189.MaterialTexture">
+ <Domain name="groups" id="8189.MaterialTexture.groups"/>
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+ <Property name="MeshVisibility" id="8189.MeshVisibility" number_of_elements="1">
+ <Element index="0" value="0"/>
+ <Domain name="bool" id="8189.MeshVisibility.bool"/>
+ </Property>
+ <Property name="Metallic" id="8189.Metallic" number_of_elements="1">
+ <Element index="0" value="0"/>
+ <Domain name="range" id="8189.Metallic.range"/>
+ </Property>
+ <Property name="MultiComponentsMapping" id="8189.MultiComponentsMapping" number_of_elements="1">
+ <Element index="0" value="0"/>
+ <Domain name="bool" id="8189.MultiComponentsMapping.bool"/>
+ </Property>
+ <Property name="NonlinearSubdivisionLevel" id="8189.NonlinearSubdivisionLevel" number_of_elements="1">
+ <Element index="0" value="1"/>
+ <Domain name="range" id="8189.NonlinearSubdivisionLevel.range"/>
+ </Property>
+ <Property name="NormalScale" id="8189.NormalScale" number_of_elements="1">
+ <Element index="0" value="1"/>
+ <Domain name="range" id="8189.NormalScale.range"/>
+ </Property>
+ <Property name="NormalTexture" id="8189.NormalTexture">
+ <Domain name="groups" id="8189.NormalTexture.groups"/>
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+ <Property name="OSPRayMaterial" id="8189.OSPRayMaterial" number_of_elements="1">
+ <Element index="0" value="None"/>
+ <Domain name="string_list" id="8189.OSPRayMaterial.string_list"/>
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+ <Property name="OSPRayScaleArray" id="8189.OSPRayScaleArray" number_of_elements="1">
+ <Element index="0" value=""/>
+ <Domain name="array_list" id="8189.OSPRayScaleArray.array_list">
+ <String text="indicatorFunction_P1"/>
+ </Domain>
+ </Property>
+ <Property name="OSPRayScaleFunction" id="8189.OSPRayScaleFunction" number_of_elements="1">
+ <Proxy value="8161"/>
+ <Domain name="groups" id="8189.OSPRayScaleFunction.groups"/>
+ <Domain name="proxy_list" id="8189.OSPRayScaleFunction.proxy_list">
+ <Proxy value="8161"/>
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+ </Property>
+ <Property name="OSPRayUseScaleArray" id="8189.OSPRayUseScaleArray" number_of_elements="1">
+ <Element index="0" value="0"/>
+ <Domain name="enum" id="8189.OSPRayUseScaleArray.enum">
+ <Entry value="-1" text="All Exact"/>
+ <Entry value="0" text="All Approximate"/>
+ <Entry value="1" text="Each Scaled"/>
+ <Entry value="2" text="Each Exact"/>
+ </Domain>
+ </Property>
+ <Property name="OcclusionStrength" id="8189.OcclusionStrength" number_of_elements="1">
+ <Element index="0" value="1"/>
+ <Domain name="range" id="8189.OcclusionStrength.range"/>
+ </Property>
+ <Property name="Opacity" id="8189.Opacity" number_of_elements="1">
+ <Element index="0" value="1"/>
+ <Domain name="range" id="8189.Opacity.range"/>
+ </Property>
+ <Property name="OpacityArray" id="8189.OpacityArray" number_of_elements="5">
+ <Element index="0" value=""/>
+ <Element index="1" value=""/>
+ <Element index="2" value=""/>
+ <Element index="3" value=""/>
+ <Element index="4" value=""/>
+ <Domain name="array_list" id="8189.OpacityArray.array_list">
+ <String text="indicatorFunction_P1"/>
+ </Domain>
+ </Property>
+ <Property name="OpacityArrayComponent" id="8189.OpacityArrayComponent" number_of_elements="1">
+ <Element index="0" value="0"/>
+ <Domain name="comps" id="8189.OpacityArrayComponent.comps"/>
+ </Property>
+ <Property name="OpacityArrayName" id="8189.OpacityArrayName" number_of_elements="5">
+ <Element index="0" value=""/>
+ <Element index="1" value=""/>
+ <Element index="2" value=""/>
+ <Element index="3" value=""/>
+ <Element index="4" value=""/>
+ <Domain name="array_list" id="8189.OpacityArrayName.array_list">
+ <String text="indicatorFunction_P1"/>
+ <String text="indicatorFunction_P0"/>
+ </Domain>
+ </Property>
+ <Property name="OpacityByArray" id="8189.OpacityByArray" number_of_elements="1">
+ <Element index="0" value="0"/>
+ <Domain name="bool" id="8189.OpacityByArray.bool"/>
+ </Property>
+ <Property name="OpacityComponent" id="8189.OpacityComponent" number_of_elements="1">
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+ <Domain name="comps" id="8189.OpacityComponent.comps"/>
+ </Property>
+ <Property name="OpacityTransferFunction" id="8189.OpacityTransferFunction" number_of_elements="1">
+ <Proxy value="8126"/>
+ <Domain name="proxy_list" id="8189.OpacityTransferFunction.proxy_list">
+ <Proxy value="8126"/>
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+ </Property>
+ <Property name="Orient" id="8189.Orient" number_of_elements="1">
+ <Element index="0" value="0"/>
+ <Domain name="bool" id="8189.Orient.bool"/>
+ </Property>
+ <Property name="Orientation" id="8189.Orientation" number_of_elements="3">
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+ <Element index="2" value="0"/>
+ <Domain name="range" id="8189.Orientation.range"/>
+ </Property>
+ <Property name="OrientationMode" id="8189.OrientationMode" number_of_elements="1">
+ <Element index="0" value="0"/>
+ <Domain name="enum" id="8189.OrientationMode.enum">
+ <Entry value="0" text="Direction"/>
+ <Entry value="1" text="Rotation"/>
+ <Entry value="2" text="Quaternion"/>
+ </Domain>
+ </Property>
+ <Property name="Origin" id="8189.Origin" number_of_elements="3">
+ <Element index="0" value="0"/>
+ <Element index="1" value="0"/>
+ <Element index="2" value="0"/>
+ <Domain name="range" id="8189.Origin.range"/>
+ </Property>
+ <Property name="Pickable" id="8189.Pickable" number_of_elements="1">
+ <Element index="0" value="1"/>
+ <Domain name="bool" id="8189.Pickable.bool"/>
+ </Property>
+ <Property name="PointSize" id="8189.PointSize" number_of_elements="1">
+ <Element index="0" value="2"/>
+ <Domain name="range" id="8189.PointSize.range"/>
+ </Property>
+ <Property name="Position" id="8189.Position" number_of_elements="3">
+ <Element index="0" value="0"/>
+ <Element index="1" value="0"/>
+ <Element index="2" value="0"/>
+ <Domain name="range" id="8189.Position.range"/>
+ </Property>
+ <Property name="RenderLinesAsTubes" id="8189.RenderLinesAsTubes" number_of_elements="1">
+ <Element index="0" value="0"/>
+ <Domain name="bool" id="8189.RenderLinesAsTubes.bool"/>
+ </Property>
+ <Property name="RenderPointsAsSpheres" id="8189.RenderPointsAsSpheres" number_of_elements="1">
+ <Element index="0" value="0"/>
+ <Domain name="bool" id="8189.RenderPointsAsSpheres.bool"/>
+ </Property>
+ <Property name="RepeatTextures" id="8189.RepeatTextures" number_of_elements="1">
+ <Element index="0" value="1"/>
+ <Domain name="bool" id="8189.RepeatTextures.bool"/>
+ </Property>
+ <Property name="Roughness" id="8189.Roughness" number_of_elements="1">
+ <Element index="0" value="0.3"/>
+ <Domain name="range" id="8189.Roughness.range"/>
+ </Property>
+ <Property name="SamplingDimensions" id="8189.SamplingDimensions" number_of_elements="3">
+ <Element index="0" value="128"/>
+ <Element index="1" value="128"/>
+ <Element index="2" value="128"/>
+ <Domain name="range" id="8189.SamplingDimensions.range"/>
+ </Property>
+ <Property name="ScalarOpacityFunction" id="8189.ScalarOpacityFunction">
+ <Domain name="groups" id="8189.ScalarOpacityFunction.groups"/>
+ </Property>
+ <Property name="ScalarOpacityUnitDistance" id="8189.ScalarOpacityUnitDistance" number_of_elements="1">
+ <Element index="0" value="1"/>
+ <Domain name="bounds" id="8189.ScalarOpacityUnitDistance.bounds"/>
+ </Property>
+ <Property name="Scale" id="8189.Scale" number_of_elements="3">
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+ <Element index="1" value="1"/>
+ <Element index="2" value="1"/>
+ <Domain name="range" id="8189.Scale.range"/>
+ </Property>
+ <Property name="ScaleArrayComponent" id="8189.ScaleArrayComponent" number_of_elements="1">
+ <Element index="0" value="0"/>
+ <Domain name="comps" id="8189.ScaleArrayComponent.comps"/>
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+ <Property name="ScaleByArray" id="8189.ScaleByArray" number_of_elements="1">
+ <Element index="0" value="0"/>
+ <Domain name="bool" id="8189.ScaleByArray.bool"/>
+ </Property>
+ <Property name="ScaleFactor" id="8189.ScaleFactor" number_of_elements="1">
+ <Element index="0" value="-2.0000000000000002e+298"/>
+ <Domain name="bounds" id="8189.ScaleFactor.bounds"/>
+ <Domain name="scalar_range" id="8189.ScaleFactor.scalar_range"/>
+ <Domain name="vector_range" id="8189.ScaleFactor.vector_range"/>
+ </Property>
+ <Property name="ScaleMode" id="8189.ScaleMode" number_of_elements="1">
+ <Element index="0" value="0"/>
+ <Domain name="enum" id="8189.ScaleMode.enum">
+ <Entry value="0" text="No Data Scaling Off"/>
+ <Entry value="1" text="Magnitude"/>
+ <Entry value="2" text="Vector Components"/>
+ </Domain>
+ </Property>
+ <Property name="ScaleTransferFunction" id="8189.ScaleTransferFunction" number_of_elements="1">
+ <Proxy value="8127"/>
+ <Domain name="proxy_list" id="8189.ScaleTransferFunction.proxy_list">
+ <Proxy value="8127"/>
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+ </Property>
+ <Property name="Scaling" id="8189.Scaling" number_of_elements="1">
+ <Element index="0" value="0"/>
+ <Domain name="bool" id="8189.Scaling.bool"/>
+ </Property>
+ <Property name="SeamlessU" id="8189.SeamlessU" number_of_elements="1">
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+ </Property>
+ <Property name="SeamlessV" id="8189.SeamlessV" number_of_elements="1">
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+ <Domain name="bool" id="8189.SeamlessV.bool"/>
+ </Property>
+ <Property name="SelectMapper" id="8189.SelectMapper" number_of_elements="1">
+ <Element index="0" value="Projected tetra"/>
+ <Domain name="list" id="8189.SelectMapper.list">
+ <String text="Projected tetra"/>
+ <String text="Z sweep"/>
+ <String text="Bunyk ray cast"/>
+ <String text="Resample To Image"/>
+ </Domain>
+ </Property>
+ <Property name="SelectMaskArray" id="8189.SelectMaskArray" number_of_elements="1">
+ <Element index="0" value=""/>
+ </Property>
+ <Property name="SelectNormalArray" id="8189.SelectNormalArray" number_of_elements="1">
+ <Element index="0" value="None"/>
+ <Domain name="array_list" id="8189.SelectNormalArray.array_list">
+ <String text="None"/>
+ </Domain>
+ </Property>
+ <Property name="SelectOrientationVectors" id="8189.SelectOrientationVectors" number_of_elements="1">
+ <Element index="0" value="None"/>
+ <Domain name="array_list" id="8189.SelectOrientationVectors.array_list">
+ <String text="None"/>
+ </Domain>
+ </Property>
+ <Property name="SelectScaleArray" id="8189.SelectScaleArray" number_of_elements="1">
+ <Element index="0" value="None"/>
+ <Domain name="array_list" id="8189.SelectScaleArray.array_list">
+ <String text="None"/>
+ <String text="indicatorFunction_P1"/>
+ <String text="indicatorFunction_P0"/>
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+ </Property>
+ <Property name="SelectTCoordArray" id="8189.SelectTCoordArray" number_of_elements="1">
+ <Element index="0" value="None"/>
+ <Domain name="array_list" id="8189.SelectTCoordArray.array_list">
+ <String text="None"/>
+ </Domain>
+ </Property>
+ <Property name="SelectTangentArray" id="8189.SelectTangentArray" number_of_elements="1">
+ <Element index="0" value="None"/>
+ <Domain name="array_list" id="8189.SelectTangentArray.array_list">
+ <String text="None"/>
+ </Domain>
+ </Property>
+ <Property name="SelectionCellLabelBold" id="8189.SelectionCellLabelBold" number_of_elements="1">
+ <Element index="0" value="0"/>
+ <Domain name="bool" id="8189.SelectionCellLabelBold.bool"/>
+ </Property>
+ <Property name="SelectionCellLabelColor" id="8189.SelectionCellLabelColor" number_of_elements="3">
+ <Element index="0" value="0"/>
+ <Element index="1" value="1"/>
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diff --git a/experiment/theoretical/results_test1/0/BMatrix.txt b/experiment/theoretical/results_test1/0/BMatrix.txt
new file mode 100644
index 00000000..06d9774e
--- /dev/null
+++ b/experiment/theoretical/results_test1/0/BMatrix.txt
@@ -0,0 +1,3 @@
+1 1 -0.0149357135524713965
+1 2 0.014935713552471204
+1 3 -2.45932942358926227e-16
diff --git a/experiment/theoretical/results_test1/0/QMatrix.txt b/experiment/theoretical/results_test1/0/QMatrix.txt
new file mode 100644
index 00000000..d2e3a370
--- /dev/null
+++ b/experiment/theoretical/results_test1/0/QMatrix.txt
@@ -0,0 +1,9 @@
+1 1 0.197092102989849582
+1 2 0.0281494038373869271
+1 3 -4.19940209947565439e-21
+2 1 0.0281494038373870104
+2 2 0.197092102989848916
+2 3 -4.87622971100009814e-22
+3 1 1.34199624156192329e-19
+3 2 2.53978103964952747e-19
+3 3 0.168808432887568888
diff --git a/experiment/theoretical/results_test1/0/output.txt b/experiment/theoretical/results_test1/0/output.txt
new file mode 100644
index 00000000..75d8712e
--- /dev/null
+++ b/experiment/theoretical/results_test1/0/output.txt
@@ -0,0 +1,49 @@
+Number of Grid-Elements in each direction: [16,16,16]
+Solver-type used: GMRES-Solver
+---------- OUTPUT ----------
+ --------------------
+Corrector-Matrix M_1:
+0.000173206 -5.50622e-20 0
+-5.50622e-20 -2.47477e-05 0
+0 0 0
+
+ --------------------
+Corrector-Matrix M_2:
+2.47477e-05 -2.20735e-19 0
+-2.20735e-19 -0.000173206 0
+0 0 0
+
+ --------------------
+Corrector-Matrix M_3:
+-1.66855e-18 -3.1701e-17 0
+-3.1701e-17 -1.6948e-18 0
+0 0 0
+
+ --------------------
+--- Effective moduli ---
+Qeff_:
+0.197092 0.0281494 -4.1994e-21
+0.0281494 0.197092 -4.87623e-22
+1.342e-19 2.53978e-19 0.168808
+
+------------------------
+--- Prestrain Output ---
+Bhat_: -0.00252328 0.00252328 -4.15138e-17
+Beff_: -0.0149357 0.0149357 -2.45933e-16 (Effective Prestrain)
+------------------------
+size of FiniteElementBasis: 13056
+q1=0.197092
+q2=0.197092
+q3=0.168808
+q12=0.0281494
+q23=-4.87623e-22
+q_onetwo=0.028149
+b1=-0.014936
+b2=0.014936
+b3=-0.000000
+mu_gamma=0.168808
+---------------------------------------------------------------------------------------------------------------------------------------
+ Levels | q1 | q2 | q3 | q12 | q23 | b1 | b2 | b3 |
+---------------------------------------------------------------------------------------------------------------------------------------
+ 4 & 1.97092e-01 & 1.97092e-01 & 1.68808e-01 & 2.81494e-02 & -4.87623e-22 & -1.49357e-02 & 1.49357e-02 & -2.45933e-16 &
+---------------------------------------------------------------------------------------------------------------------------------------
diff --git a/experiment/theoretical/results_test1/1/BMatrix.txt b/experiment/theoretical/results_test1/1/BMatrix.txt
new file mode 100644
index 00000000..8c669c0b
--- /dev/null
+++ b/experiment/theoretical/results_test1/1/BMatrix.txt
@@ -0,0 +1,3 @@
+1 1 -0.0461779873860947154
+1 2 0.0461779873859614887
+1 3 3.30146713816807654e-15
diff --git a/experiment/theoretical/results_test1/1/QMatrix.txt b/experiment/theoretical/results_test1/1/QMatrix.txt
new file mode 100644
index 00000000..2f54983d
--- /dev/null
+++ b/experiment/theoretical/results_test1/1/QMatrix.txt
@@ -0,0 +1,9 @@
+1 1 0.202447255681337701
+1 2 0.0288679397481703993
+1 3 -1.24147402235021159e-20
+2 1 0.0288679397481689699
+2 2 0.202447255681337368
+2 3 -2.13826188344957654e-20
+3 1 2.50607340900847628e-17
+3 2 2.46073998233266074e-17
+3 3 0.173185026203113296
diff --git a/experiment/theoretical/results_test1/1/output.txt b/experiment/theoretical/results_test1/1/output.txt
new file mode 100644
index 00000000..753a7f36
--- /dev/null
+++ b/experiment/theoretical/results_test1/1/output.txt
@@ -0,0 +1,49 @@
+Number of Grid-Elements in each direction: [16,16,16]
+Solver-type used: GMRES-Solver
+---------- OUTPUT ----------
+ --------------------
+Corrector-Matrix M_1:
+0.000548878 3.59482e-19 0
+3.59482e-19 -7.83261e-05 0
+0 0 0
+
+ --------------------
+Corrector-Matrix M_2:
+7.83261e-05 -3.41464e-20 0
+-3.41464e-20 -0.000548878 0
+0 0 0
+
+ --------------------
+Corrector-Matrix M_3:
+1.68876e-17 -1.92217e-16 0
+-1.92217e-16 1.61608e-17 0
+0 0 0
+
+ --------------------
+--- Effective moduli ---
+Qeff_:
+0.202447 0.0288679 -1.24147e-20
+0.0288679 0.202447 -2.13826e-20
+2.50607e-17 2.46074e-17 0.173185
+
+------------------------
+--- Prestrain Output ---
+Bhat_: -0.00801554 0.00801554 5.71744e-16
+Beff_: -0.046178 0.046178 3.30147e-15 (Effective Prestrain)
+------------------------
+size of FiniteElementBasis: 13056
+q1=0.202447
+q2=0.202447
+q3=0.173185
+q12=0.0288679
+q23=-2.13826e-20
+q_onetwo=0.028868
+b1=-0.046178
+b2=0.046178
+b3=0.000000
+mu_gamma=0.173185
+---------------------------------------------------------------------------------------------------------------------------------------
+ Levels | q1 | q2 | q3 | q12 | q23 | b1 | b2 | b3 |
+---------------------------------------------------------------------------------------------------------------------------------------
+ 4 & 2.02447e-01 & 2.02447e-01 & 1.73185e-01 & 2.88679e-02 & -2.13826e-20 & -4.61780e-02 & 4.61780e-02 & 3.30147e-15 &
+---------------------------------------------------------------------------------------------------------------------------------------
diff --git a/experiment/theoretical/results_test1/2/BMatrix.txt b/experiment/theoretical/results_test1/2/BMatrix.txt
new file mode 100644
index 00000000..0c6d7b92
--- /dev/null
+++ b/experiment/theoretical/results_test1/2/BMatrix.txt
@@ -0,0 +1,3 @@
+1 1 -0.0740857421678850492
+1 2 0.0740857421680322092
+1 3 -7.07622565225889709e-15
diff --git a/experiment/theoretical/results_test1/2/QMatrix.txt b/experiment/theoretical/results_test1/2/QMatrix.txt
new file mode 100644
index 00000000..97345d10
--- /dev/null
+++ b/experiment/theoretical/results_test1/2/QMatrix.txt
@@ -0,0 +1,9 @@
+1 1 0.208040853048883312
+1 2 0.0296326775574027347
+1 3 -5.91260430046778652e-20
+2 1 0.0296326775574035292
+2 2 0.208040853048883367
+2 3 -4.93396691775629948e-20
+3 1 1.24878283307841375e-16
+3 2 1.25397864401907371e-16
+3 3 0.177806316187787306
diff --git a/experiment/theoretical/results_test1/2/output.txt b/experiment/theoretical/results_test1/2/output.txt
new file mode 100644
index 00000000..acec01e4
--- /dev/null
+++ b/experiment/theoretical/results_test1/2/output.txt
@@ -0,0 +1,49 @@
+Number of Grid-Elements in each direction: [16,16,16]
+Solver-type used: GMRES-Solver
+---------- OUTPUT ----------
+ --------------------
+Corrector-Matrix M_1:
+0.000886484 3.13186e-19 0
+3.13186e-19 -0.000126335 0
+0 0 0
+
+ --------------------
+Corrector-Matrix M_2:
+0.000126335 2.8411e-19 0
+2.8411e-19 -0.000886484 0
+0 0 0
+
+ --------------------
+Corrector-Matrix M_3:
+-3.16115e-17 -1.32236e-16 0
+-1.32236e-16 -3.37076e-17 0
+0 0 0
+
+ --------------------
+--- Effective moduli ---
+Qeff_:
+0.208041 0.0296327 -5.9126e-20
+0.0296327 0.208041 -4.93397e-20
+1.24878e-16 1.25398e-16 0.177806
+
+------------------------
+--- Prestrain Output ---
+Bhat_: -0.0132175 0.0132175 -1.25816e-15
+Beff_: -0.0740857 0.0740857 -7.07623e-15 (Effective Prestrain)
+------------------------
+size of FiniteElementBasis: 13056
+q1=0.208041
+q2=0.208041
+q3=0.177806
+q12=0.0296327
+q23=-4.93397e-20
+q_onetwo=0.029633
+b1=-0.074086
+b2=0.074086
+b3=-0.000000
+mu_gamma=0.177806
+---------------------------------------------------------------------------------------------------------------------------------------
+ Levels | q1 | q2 | q3 | q12 | q23 | b1 | b2 | b3 |
+---------------------------------------------------------------------------------------------------------------------------------------
+ 4 & 2.08041e-01 & 2.08041e-01 & 1.77806e-01 & 2.96327e-02 & -4.93397e-20 & -7.40857e-02 & 7.40857e-02 & -7.07623e-15 &
+---------------------------------------------------------------------------------------------------------------------------------------
diff --git a/experiment/theoretical/results_test1/3/BMatrix.txt b/experiment/theoretical/results_test1/3/BMatrix.txt
new file mode 100644
index 00000000..a8ec9147
--- /dev/null
+++ b/experiment/theoretical/results_test1/3/BMatrix.txt
@@ -0,0 +1,3 @@
+1 1 -0.0865036029931518236
+1 2 0.0865036029931576661
+1 3 -1.23240045859469982e-17
diff --git a/experiment/theoretical/results_test1/3/QMatrix.txt b/experiment/theoretical/results_test1/3/QMatrix.txt
new file mode 100644
index 00000000..e188556a
--- /dev/null
+++ b/experiment/theoretical/results_test1/3/QMatrix.txt
@@ -0,0 +1,9 @@
+1 1 0.213038345290249675
+1 2 0.0303347952746698367
+1 3 -7.32848935497480399e-20
+2 1 0.0303347952746696944
+2 2 0.213038345290249231
+2 3 -7.2841524741419617e-20
+3 1 4.27514568399863973e-18
+3 2 4.25213517371863961e-18
+3 3 0.182029714189306413
diff --git a/experiment/wood-bilayer/results/0/output.txt b/experiment/theoretical/results_test1/3/output.txt
similarity index 61%
rename from experiment/wood-bilayer/results/0/output.txt
rename to experiment/theoretical/results_test1/3/output.txt
index 63688560..95d78473 100644
--- a/experiment/wood-bilayer/results/0/output.txt
+++ b/experiment/theoretical/results_test1/3/output.txt
@@ -3,47 +3,47 @@ Solver-type used: GMRES-Solver
---------- OUTPUT ----------
--------------------
Corrector-Matrix M_1:
--0.233954 -1.54165e-27 0
--1.54165e-27 0.0110659 0
+0.0010227 -8.38144e-21 0
+-8.38144e-21 -0.00014558 0
0 0 0
--------------------
Corrector-Matrix M_2:
--0.0025163 1.89724e-27 0
-1.89724e-27 0.11024 0
+0.00014558 4.52414e-19 0
+4.52414e-19 -0.0010227 0
0 0 0
--------------------
Corrector-Matrix M_3:
-0 0.0227636 0
-0.0227636 0 0
+-2.23217e-19 -6.07948e-17 0
+-6.07948e-17 -5.68765e-19 0
0 0 0
--------------------
--- Effective moduli ---
Qeff_:
-304.529 19.1059 -1.65436e-24
-19.1059 524.281 1.18132e-23
-7.66396e-33 1.21059e-32 88.8021
+0.213038 0.0303348 -7.32849e-20
+0.0303348 0.213038 -7.28415e-20
+4.27515e-18 4.25214e-18 0.18203
------------------------
--- Prestrain Output ---
-Bhat_: 366.176 -125.851 -1.19402e-31
-Beff_: 1.22028 -0.284515 -1.41111e-33 (Effective Prestrain)
+Bhat_: -0.0158045 0.0158045 -2.24533e-18
+Beff_: -0.0865036 0.0865036 -1.2324e-17 (Effective Prestrain)
------------------------
size of FiniteElementBasis: 13056
-q1=304.529
-q2=524.281
-q3=88.8021
-q12=19.1059
-q23=1.18132e-23
-q_onetwo=19.105881
-b1=1.220284
-b2=-0.284515
+q1=0.213038
+q2=0.213038
+q3=0.18203
+q12=0.0303348
+q23=-7.28415e-20
+q_onetwo=0.030335
+b1=-0.086504
+b2=0.086504
b3=-0.000000
-mu_gamma=88.802114
+mu_gamma=0.182030
---------------------------------------------------------------------------------------------------------------------------------------
Levels | q1 | q2 | q3 | q12 | q23 | b1 | b2 | b3 |
---------------------------------------------------------------------------------------------------------------------------------------
- 4 & 3.04529e+02 & 5.24281e+02 & 8.88021e+01 & 1.91059e+01 & 1.18132e-23 & 1.22028e+00 & -2.84515e-01 & -1.41111e-33 &
+ 4 & 2.13038e-01 & 2.13038e-01 & 1.82030e-01 & 3.03348e-02 & -7.28415e-20 & -8.65036e-02 & 8.65036e-02 & -1.23240e-17 &
---------------------------------------------------------------------------------------------------------------------------------------
diff --git a/experiment/theoretical/results_test1/kappa_simulation.txt b/experiment/theoretical/results_test1/kappa_simulation.txt
new file mode 100644
index 00000000..6a46a9fc
--- /dev/null
+++ b/experiment/theoretical/results_test1/kappa_simulation.txt
@@ -0,0 +1 @@
+kappa = [0. 0. 0. 0.07374749]
\ No newline at end of file
diff --git a/experiment/theoretical/results_test1/parameter.txt b/experiment/theoretical/results_test1/parameter.txt
new file mode 100644
index 00000000..22e8f28f
--- /dev/null
+++ b/experiment/theoretical/results_test1/parameter.txt
@@ -0,0 +1,2 @@
+param_r = 0.5
+param_delta_theta = 30
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diff --git a/experiment/theoretical/results_test2/0/BMatrix.txt b/experiment/theoretical/results_test2/0/BMatrix.txt
new file mode 100644
index 00000000..14b83035
--- /dev/null
+++ b/experiment/theoretical/results_test2/0/BMatrix.txt
@@ -0,0 +1,3 @@
+1 1 -0.522393071254333985
+1 2 0.522393071255300323
+1 3 2.32621611036982895e-14
diff --git a/experiment/theoretical/results_test2/0/QMatrix.txt b/experiment/theoretical/results_test2/0/QMatrix.txt
new file mode 100644
index 00000000..095f8c71
--- /dev/null
+++ b/experiment/theoretical/results_test2/0/QMatrix.txt
@@ -0,0 +1,9 @@
+1 1 0.469750821030932297
+1 2 0.220796419904863817
+1 3 -1.62041108578891892e-17
+2 1 0.220796419904601637
+2 2 0.469750821030746724
+2 3 -2.48593582107296471e-18
+3 1 -1.64371455035466083e-16
+3 2 -1.28871827760005525e-16
+3 3 0.229724552066225496
diff --git a/experiment/theoretical/results_test2/0/output.txt b/experiment/theoretical/results_test2/0/output.txt
new file mode 100644
index 00000000..09698ec6
--- /dev/null
+++ b/experiment/theoretical/results_test2/0/output.txt
@@ -0,0 +1,49 @@
+Number of Grid-Elements in each direction: [16,16,16]
+Solver-type used: GMRES-Solver
+---------- OUTPUT ----------
+ --------------------
+Corrector-Matrix M_1:
+0.00944596 2.01583e-17 0
+2.01583e-17 -0.00441411 0
+0 0 0
+
+ --------------------
+Corrector-Matrix M_2:
+0.00441411 1.47896e-17 0
+1.47896e-17 -0.00944596 0
+0 0 0
+
+ --------------------
+Corrector-Matrix M_3:
+-5.87996e-17 -5.00143e-16 0
+-5.00143e-16 -7.03779e-17 0
+0 0 0
+
+ --------------------
+--- Effective moduli ---
+Qeff_:
+0.469751 0.220796 -1.62041e-17
+0.220796 0.469751 -2.48594e-18
+-1.64371e-16 -1.28872e-16 0.229725
+
+------------------------
+--- Prestrain Output ---
+Bhat_: -0.130052 0.130052 5.36243e-15
+Beff_: -0.522393 0.522393 2.32622e-14 (Effective Prestrain)
+------------------------
+size of FiniteElementBasis: 13056
+q1=0.469751
+q2=0.469751
+q3=0.229725
+q12=0.220796
+q23=-2.48594e-18
+q_onetwo=0.220796
+b1=-0.522393
+b2=0.522393
+b3=0.000000
+mu_gamma=0.229725
+---------------------------------------------------------------------------------------------------------------------------------------
+ Levels | q1 | q2 | q3 | q12 | q23 | b1 | b2 | b3 |
+---------------------------------------------------------------------------------------------------------------------------------------
+ 4 & 4.69751e-01 & 4.69751e-01 & 2.29725e-01 & 2.20796e-01 & -2.48594e-18 & -5.22393e-01 & 5.22393e-01 & 2.32622e-14 &
+---------------------------------------------------------------------------------------------------------------------------------------
diff --git a/experiment/theoretical/results_test2/0/parameter2.txt b/experiment/theoretical/results_test2/0/parameter2.txt
new file mode 100644
index 00000000..22e8f28f
--- /dev/null
+++ b/experiment/theoretical/results_test2/0/parameter2.txt
@@ -0,0 +1,2 @@
+param_r = 0.5
+param_delta_theta = 30
diff --git a/experiment/theoretical/results_test2/1/BMatrix.txt b/experiment/theoretical/results_test2/1/BMatrix.txt
new file mode 100644
index 00000000..a9a5d92d
--- /dev/null
+++ b/experiment/theoretical/results_test2/1/BMatrix.txt
@@ -0,0 +1,3 @@
+1 1 -0.609422675636300037
+1 2 0.522096508738632337
+1 3 4.58229300318429858e-14
diff --git a/experiment/theoretical/results_test2/1/QMatrix.txt b/experiment/theoretical/results_test2/1/QMatrix.txt
new file mode 100644
index 00000000..27e11ef3
--- /dev/null
+++ b/experiment/theoretical/results_test2/1/QMatrix.txt
@@ -0,0 +1,9 @@
+1 1 0.475252081960640504
+1 2 0.223477514957490825
+1 3 -2.74598817076983576e-18
+2 1 0.223477514992098975
+2 2 0.471068750728537655
+2 3 4.54678021663247828e-18
+3 1 -7.65290032679524085e-16
+3 2 -8.60319982520964125e-16
+3 3 0.228423243339539533
diff --git a/experiment/theoretical/results_test2/1/output.txt b/experiment/theoretical/results_test2/1/output.txt
new file mode 100644
index 00000000..fe8895b8
--- /dev/null
+++ b/experiment/theoretical/results_test2/1/output.txt
@@ -0,0 +1,49 @@
+Number of Grid-Elements in each direction: [16,16,16]
+Solver-type used: GMRES-Solver
+---------- OUTPUT ----------
+ --------------------
+Corrector-Matrix M_1:
+0.00606915 3.87329e-18 0
+3.87329e-18 -0.00452178 0
+0 0 0
+
+ --------------------
+Corrector-Matrix M_2:
+0.00279544 5.8684e-18 0
+5.8684e-18 -0.0094887 0
+0 0 0
+
+ --------------------
+Corrector-Matrix M_3:
+-3.75982e-17 0.000599223 0
+0.000599223 -1.5556e-16 0
+0 0 0
+
+ --------------------
+--- Effective moduli ---
+Qeff_:
+0.475252 0.223478 -2.74599e-18
+0.223478 0.471069 4.54678e-18
+-7.6529e-16 -8.6032e-16 0.228423
+
+------------------------
+--- Prestrain Output ---
+Bhat_: -0.172953 0.109751 1.04842e-14
+Beff_: -0.609423 0.522097 4.58229e-14 (Effective Prestrain)
+------------------------
+size of FiniteElementBasis: 13056
+q1=0.475252
+q2=0.471069
+q3=0.228423
+q12=0.223478
+q23=4.54678e-18
+q_onetwo=0.223478
+b1=-0.609423
+b2=0.522097
+b3=0.000000
+mu_gamma=0.228423
+---------------------------------------------------------------------------------------------------------------------------------------
+ Levels | q1 | q2 | q3 | q12 | q23 | b1 | b2 | b3 |
+---------------------------------------------------------------------------------------------------------------------------------------
+ 4 & 4.75252e-01 & 4.71069e-01 & 2.28423e-01 & 2.23478e-01 & 4.54678e-18 & -6.09423e-01 & 5.22097e-01 & 4.58229e-14 &
+---------------------------------------------------------------------------------------------------------------------------------------
diff --git a/experiment/theoretical/results_test2/2/BMatrix.txt b/experiment/theoretical/results_test2/2/BMatrix.txt
new file mode 100644
index 00000000..16c5d5cc
--- /dev/null
+++ b/experiment/theoretical/results_test2/2/BMatrix.txt
@@ -0,0 +1,3 @@
+1 1 -0.676375272740408429
+1 2 0.521427601721522249
+1 3 7.89018875316103266e-14
diff --git a/experiment/theoretical/results_test2/2/QMatrix.txt b/experiment/theoretical/results_test2/2/QMatrix.txt
new file mode 100644
index 00000000..5acc8980
--- /dev/null
+++ b/experiment/theoretical/results_test2/2/QMatrix.txt
@@ -0,0 +1,9 @@
+1 1 0.481525647884904262
+1 2 0.22653129194639926
+1 3 4.58412907565047259e-18
+2 1 0.226531291945108765
+2 2 0.472564261351071491
+2 3 -5.18251814821623323e-19
+3 1 -1.50195884192366006e-15
+3 2 -1.52599420251283379e-15
+3 3 0.227924926820381762
diff --git a/experiment/theoretical/results_test2/2/output.txt b/experiment/theoretical/results_test2/2/output.txt
new file mode 100644
index 00000000..95551b78
--- /dev/null
+++ b/experiment/theoretical/results_test2/2/output.txt
@@ -0,0 +1,49 @@
+Number of Grid-Elements in each direction: [16,16,16]
+Solver-type used: GMRES-Solver
+---------- OUTPUT ----------
+ --------------------
+Corrector-Matrix M_1:
+0.00317997 4.8727e-18 0
+4.8727e-18 -0.00461286 0
+0 0 0
+
+ --------------------
+Corrector-Matrix M_2:
+0.00140306 5.93056e-18 0
+5.93056e-18 -0.00952624 0
+0 0 0
+
+ --------------------
+Corrector-Matrix M_3:
+3.1508e-16 0.000760481 0
+0.000760481 2.50448e-16 0
+0 0 0
+
+ --------------------
+--- Effective moduli ---
+Qeff_:
+0.481526 0.226531 4.58413e-18
+0.226531 0.472564 -5.18252e-19
+-1.50196e-15 -1.52599e-15 0.227925
+
+------------------------
+--- Prestrain Output ---
+Bhat_: -0.207572 0.0931879 1.82039e-14
+Beff_: -0.676375 0.521428 7.89019e-14 (Effective Prestrain)
+------------------------
+size of FiniteElementBasis: 13056
+q1=0.481526
+q2=0.472564
+q3=0.227925
+q12=0.226531
+q23=-5.18252e-19
+q_onetwo=0.226531
+b1=-0.676375
+b2=0.521428
+b3=0.000000
+mu_gamma=0.227925
+---------------------------------------------------------------------------------------------------------------------------------------
+ Levels | q1 | q2 | q3 | q12 | q23 | b1 | b2 | b3 |
+---------------------------------------------------------------------------------------------------------------------------------------
+ 4 & 4.81526e-01 & 4.72564e-01 & 2.27925e-01 & 2.26531e-01 & -5.18252e-19 & -6.76375e-01 & 5.21428e-01 & 7.89019e-14 &
+---------------------------------------------------------------------------------------------------------------------------------------
diff --git a/experiment/theoretical/results_test2/kappa_simulation.txt b/experiment/theoretical/results_test2/kappa_simulation.txt
new file mode 100644
index 00000000..6bc3153b
--- /dev/null
+++ b/experiment/theoretical/results_test2/kappa_simulation.txt
@@ -0,0 +1 @@
+kappa = [0.27735471 0.36392786 0.43126253]
\ No newline at end of file
diff --git a/experiment/theoretical/results_test2/parameter.txt b/experiment/theoretical/results_test2/parameter.txt
new file mode 100644
index 00000000..c09dea62
--- /dev/null
+++ b/experiment/theoretical/results_test2/parameter.txt
@@ -0,0 +1,2 @@
+param_n = 4
+param_delta_theta = 30
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diff --git a/experiment/theoretical/results_test3/0/BMatrix.txt b/experiment/theoretical/results_test3/0/BMatrix.txt
new file mode 100644
index 00000000..52d20354
--- /dev/null
+++ b/experiment/theoretical/results_test3/0/BMatrix.txt
@@ -0,0 +1,3 @@
+1 1 0.0644151401778287475
+1 2 0.110604623072654423
+1 3 0.0312280877350986884
diff --git a/experiment/theoretical/results_test3/0/QMatrix.txt b/experiment/theoretical/results_test3/0/QMatrix.txt
new file mode 100644
index 00000000..d1ca5995
--- /dev/null
+++ b/experiment/theoretical/results_test3/0/QMatrix.txt
@@ -0,0 +1,9 @@
+1 1 0.203789169543355658
+1 2 0.0291310445524506113
+1 3 0.000174265049096305715
+2 1 0.0291310445524419863
+2 2 0.203282830407305021
+2 3 0.000174090609085928756
+3 1 0.000174265049141808433
+3 2 0.000174090609112747174
+3 3 0.174386377498395501
diff --git a/experiment/theoretical/results_test3/0/output.txt b/experiment/theoretical/results_test3/0/output.txt
new file mode 100644
index 00000000..03bea4fb
--- /dev/null
+++ b/experiment/theoretical/results_test3/0/output.txt
@@ -0,0 +1,49 @@
+Number of Grid-Elements in each direction: [16,16,16]
+Solver-type used: GMRES-Solver
+---------- OUTPUT ----------
+ --------------------
+Corrector-Matrix M_1:
+-0.000879705 -0.000153138 0
+-0.000153138 -0.000158424 0
+0 0 0
+
+ --------------------
+Corrector-Matrix M_2:
+-7.97692e-05 -0.000152981 0
+-0.000152981 -0.00142857 0
+0 0 0
+
+ --------------------
+Corrector-Matrix M_3:
+-0.000162005 -0.00107037 0
+-0.00107037 -0.000162223 0
+0 0 0
+
+ --------------------
+--- Effective moduli ---
+Qeff_:
+0.203789 0.029131 0.000174265
+0.029131 0.203283 0.000174091
+0.000174265 0.000174091 0.174386
+
+------------------------
+--- Prestrain Output ---
+Bhat_: 0.0163546 0.0243659 0.00547623
+Beff_: 0.0644151 0.110605 0.0312281 (Effective Prestrain)
+------------------------
+size of FiniteElementBasis: 13056
+q1=0.203789
+q2=0.203283
+q3=0.174386
+q12=0.029131
+q23=0.000174091
+q_onetwo=0.029131
+b1=0.064415
+b2=0.110605
+b3=0.031228
+mu_gamma=0.174386
+---------------------------------------------------------------------------------------------------------------------------------------
+ Levels | q1 | q2 | q3 | q12 | q23 | b1 | b2 | b3 |
+---------------------------------------------------------------------------------------------------------------------------------------
+ 4 & 2.03789e-01 & 2.03283e-01 & 1.74386e-01 & 2.91310e-02 & 1.74091e-04 & 6.44151e-02 & 1.10605e-01 & 3.12281e-02 &
+---------------------------------------------------------------------------------------------------------------------------------------
diff --git a/experiment/theoretical/results_test3/kappa_simulation.txt b/experiment/theoretical/results_test3/kappa_simulation.txt
new file mode 100644
index 00000000..e5b2e90b
--- /dev/null
+++ b/experiment/theoretical/results_test3/kappa_simulation.txt
@@ -0,0 +1 @@
+kappa = [0.12745491]
\ No newline at end of file
diff --git a/experiment/theoretical/results_test3/parameter.txt b/experiment/theoretical/results_test3/parameter.txt
new file mode 100644
index 00000000..7e4e0bb0
--- /dev/null
+++ b/experiment/theoretical/results_test3/parameter.txt
@@ -0,0 +1,2 @@
+param_r = 0.25
+param_delta_theta = 30
diff --git a/experiment/theoretical/results_test3/rve_diagonal.jpeg b/experiment/theoretical/results_test3/rve_diagonal.jpeg
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diff --git a/experiment/theoretical/test1.py b/experiment/theoretical/test1.py
new file mode 100644
index 00000000..6fdefc94
--- /dev/null
+++ b/experiment/theoretical/test1.py
@@ -0,0 +1,144 @@
+import subprocess
+import re
+import os
+import numpy as np
+import matplotlib.pyplot as plt
+import math
+import fileinput
+import time
+import matplotlib.ticker as tickers
+import matplotlib as mpl
+from matplotlib.ticker import MultipleLocator,FormatStrFormatter,MaxNLocator
+import codecs
+import sys
+import threading
+
+# Schreibe input datei für Parameter
+def SetParametersCellProblem(ParameterSet, ParsetFilePath, outputPath):
+ print('----set Parameters -----')
+ with open(ParsetFilePath, 'r') as file:
+ filedata = file.read()
+ filedata = re.sub('(?m)^materialFunction\s?=.*','materialFunction = '+str(ParameterSet.materialFunction),filedata)
+ filedata = re.sub('(?m)^gamma\s?=.*','gamma='+str(ParameterSet.gamma),filedata)
+ filedata = re.sub('(?m)^numLevels\s?=.*','numLevels='+str(ParameterSet.numLevels)+' '+str(ParameterSet.numLevels) ,filedata)
+ filedata = re.sub('(?m)^outputPath\s?=\s?.*','outputPath='+str(outputPath),filedata)
+ f = open(ParsetFilePath,'w')
+ f.write(filedata)
+ f.close()
+
+
+# Ändere Parameter der MaterialFunction
+def SetParameterMaterialFunction(materialFunction, parameterName, parameterValue):
+ with open(Path+"/"+materialFunction+'.py', 'r') as file:
+ filedata = file.read()
+ filedata = re.sub('(?m)^'+str(parameterName)+'\s?=.*',str(parameterName)+' = '+str(parameterValue),filedata)
+ f = open(Path+"/"+materialFunction+'.py','w')
+ f.write(filedata)
+ f.close()
+
+# Rufe Programm zum Lösen des Cell-Problems auf
+def run_CellProblem(executable, parset,write_LOG):
+ print('----- RUN Cell-Problem ----')
+ processList = []
+ LOGFILE = "Cell-Problem_output.log"
+ print('LOGFILE:',LOGFILE)
+ print('executable:',executable)
+ if write_LOG:
+ p = subprocess.Popen(executable + parset
+ + " | tee " + LOGFILE, shell=True)
+
+ else:
+ p = subprocess.Popen(executable + parset
+ + " | tee " + LOGFILE, shell=True)
+
+ p.wait() # wait
+ processList.append(p)
+ exit_codes = [p.wait() for p in processList]
+
+ return
+
+# Read effective quantites
+def ReadEffectiveQuantities(QFilePath = os.path.dirname(os.getcwd()) + '/outputs/QMatrix.txt', BFilePath = os.path.dirname(os.getcwd())+ '/outputs/BMatrix.txt'):
+ # Read Output Matrices (effective quantities)
+ # From Cell-Problem output Files : ../outputs/Qmatrix.txt , ../outputs/Bmatrix.txt
+ # -- Read Matrix Qhom
+ X = []
+ # with codecs.open(path + '/outputs/QMatrix.txt', encoding='utf-8-sig') as f:
+ with codecs.open(QFilePath, encoding='utf-8-sig') as f:
+ for line in f:
+ s = line.split()
+ X.append([float(s[i]) for i in range(len(s))])
+ Q = np.array([[X[0][2], X[1][2], X[2][2]],
+ [X[3][2], X[4][2], X[5][2]],
+ [X[6][2], X[7][2], X[8][2]] ])
+
+ # -- Read Beff (as Vector)
+ X = []
+ # with codecs.open(path + '/outputs/BMatrix.txt', encoding='utf-8-sig') as f:
+ with codecs.open(BFilePath, encoding='utf-8-sig') as f:
+ for line in f:
+ s = line.split()
+ X.append([float(s[i]) for i in range(len(s))])
+ B = np.array([X[0][2], X[1][2], X[2][2]])
+ return Q, B
+
+# Function for evaluating the energy in terms of kappa, alpha and Q, B
+def eval_energy(kappa,alpha,Q,B) :
+ G=kappa*np.array([[np.cos(alpha)**2],[np.sin(alpha)**2],[np.sqrt(2)*np.cos(alpha)*np.sin(alpha)]])-B
+ return np.matmul(np.transpose(G),np.matmul(Q,G))[0,0]
+
+#-------------------------------------------------------------------------------------------------------
+########################
+#### SET PARAMETERS ####
+########################
+# ----- Setup Paths -----
+Path = "./experiment/theoretical"
+# parset = ' ./experiment/wood-bilayer/cellsolver.parset.wood'
+ParsetFile = Path + '/cellsolver.parset'
+executable = 'build-cmake/src/Cell-Problem'
+write_LOG = True # writes Cell-Problem output-LOG in "Cell-Problem_output.log"
+
+# ---------------------------------
+# Setup Experiment
+# ---------------------------------
+outputPath = Path + '/results_test1/'
+
+# ----- Define Input parameters --------------------
+class ParameterSet:
+ pass
+
+ParameterSet.materialFunction = "theoretical_material1"
+ParameterSet.gamma=1
+ParameterSet.numLevels=4
+
+# ----- Define Parameters for Material Function --------------------
+# Liste mit Drehwinkel eigenstrain
+materialFunctionParameter=[[1/8, 30],[1/4, 30], [3/8,30], [1/2, 30]]
+
+# ------ Loops through Parameters for Material Function -----------
+for i in range(0,np.shape(materialFunctionParameter)[0]):
+ print("------------------")
+ print("New Loop")
+ print("------------------")
+ # Check output directory
+ path = outputPath + str(i)
+ isExist = os.path.exists(path)
+ if not isExist:
+ # Create a new directory because it does not exist
+ os.makedirs(path)
+ print("The new directory " + path + " is created!")
+ # keine Parameter daher naechste Zeiel auskommentiert
+ SetParameterMaterialFunction(ParameterSet.materialFunction, "param_r",materialFunctionParameter[i][0])
+ SetParameterMaterialFunction(ParameterSet.materialFunction, "param_delta_theta",materialFunctionParameter[i][0])
+ SetParametersCellProblem(ParameterSet, ParsetFile, path)
+ #Run Cell-Problem
+ thread = threading.Thread(target=run_CellProblem(executable, " ./"+ParsetFile, write_LOG))
+ thread.start()
+ # ---------------------------------------------------
+ # wait here for the result to be available before continuing
+ thread.join()
+ f = open(outputPath+"parameter.txt", "w")
+ f.write("param_r = "+str(materialFunctionParameter[i][0])+"\n")
+ f.write("param_delta_theta = "+str(materialFunctionParameter[i][1])+"\n")
+ f.close()
+ #
diff --git a/experiment/theoretical/test2.py b/experiment/theoretical/test2.py
new file mode 100644
index 00000000..85a3ceac
--- /dev/null
+++ b/experiment/theoretical/test2.py
@@ -0,0 +1,145 @@
+import subprocess
+import re
+import os
+import numpy as np
+import matplotlib.pyplot as plt
+import math
+import fileinput
+import time
+import matplotlib.ticker as tickers
+import matplotlib as mpl
+from matplotlib.ticker import MultipleLocator,FormatStrFormatter,MaxNLocator
+import codecs
+import sys
+import threading
+
+# Schreibe input datei für Parameter
+def SetParametersCellProblem(ParameterSet, ParsetFilePath, outputPath):
+ print('----set Parameters -----')
+ with open(ParsetFilePath, 'r') as file:
+ filedata = file.read()
+ filedata = re.sub('(?m)^materialFunction\s?=.*','materialFunction = '+str(ParameterSet.materialFunction),filedata)
+ filedata = re.sub('(?m)^gamma\s?=.*','gamma='+str(ParameterSet.gamma),filedata)
+ filedata = re.sub('(?m)^numLevels\s?=.*','numLevels='+str(ParameterSet.numLevels)+' '+str(ParameterSet.numLevels) ,filedata)
+ filedata = re.sub('(?m)^outputPath\s?=\s?.*','outputPath='+str(outputPath),filedata)
+ f = open(ParsetFilePath,'w')
+ f.write(filedata)
+ f.close()
+
+
+# Ändere Parameter der MaterialFunction
+def SetParameterMaterialFunction(materialFunction, parameterName, parameterValue):
+ with open(Path+"/"+materialFunction+'.py', 'r') as file:
+ filedata = file.read()
+ filedata = re.sub('(?m)^'+str(parameterName)+'\s?=.*',str(parameterName)+' = '+str(parameterValue),filedata)
+ f = open(Path+"/"+materialFunction+'.py','w')
+ f.write(filedata)
+ f.close()
+
+# Rufe Programm zum Lösen des Cell-Problems auf
+def run_CellProblem(executable, parset,write_LOG):
+ print('----- RUN Cell-Problem ----')
+ processList = []
+ LOGFILE = "Cell-Problem_output.log"
+ print('LOGFILE:',LOGFILE)
+ print('executable:',executable)
+ if write_LOG:
+ p = subprocess.Popen(executable + parset
+ + " | tee " + LOGFILE, shell=True)
+
+ else:
+ p = subprocess.Popen(executable + parset
+ + " | tee " + LOGFILE, shell=True)
+
+ p.wait() # wait
+ processList.append(p)
+ exit_codes = [p.wait() for p in processList]
+
+ return
+
+# Read effective quantites
+def ReadEffectiveQuantities(QFilePath = os.path.dirname(os.getcwd()) + '/outputs/QMatrix.txt', BFilePath = os.path.dirname(os.getcwd())+ '/outputs/BMatrix.txt'):
+ # Read Output Matrices (effective quantities)
+ # From Cell-Problem output Files : ../outputs/Qmatrix.txt , ../outputs/Bmatrix.txt
+ # -- Read Matrix Qhom
+ X = []
+ # with codecs.open(path + '/outputs/QMatrix.txt', encoding='utf-8-sig') as f:
+ with codecs.open(QFilePath, encoding='utf-8-sig') as f:
+ for line in f:
+ s = line.split()
+ X.append([float(s[i]) for i in range(len(s))])
+ Q = np.array([[X[0][2], X[1][2], X[2][2]],
+ [X[3][2], X[4][2], X[5][2]],
+ [X[6][2], X[7][2], X[8][2]] ])
+
+ # -- Read Beff (as Vector)
+ X = []
+ # with codecs.open(path + '/outputs/BMatrix.txt', encoding='utf-8-sig') as f:
+ with codecs.open(BFilePath, encoding='utf-8-sig') as f:
+ for line in f:
+ s = line.split()
+ X.append([float(s[i]) for i in range(len(s))])
+ B = np.array([X[0][2], X[1][2], X[2][2]])
+ return Q, B
+
+# Function for evaluating the energy in terms of kappa, alpha and Q, B
+def eval_energy(kappa,alpha,Q,B) :
+ G=kappa*np.array([[np.cos(alpha)**2],[np.sin(alpha)**2],[np.sqrt(2)*np.cos(alpha)*np.sin(alpha)]])-B
+ return np.matmul(np.transpose(G),np.matmul(Q,G))[0,0]
+
+#-------------------------------------------------------------------------------------------------------
+########################
+#### SET PARAMETERS ####
+########################
+# ----- Setup Paths -----
+Path = "./experiment/theoretical"
+# parset = ' ./experiment/wood-bilayer/cellsolver.parset.wood'
+ParsetFile = Path + '/cellsolver.parset'
+executable = 'build-cmake/src/Cell-Problem'
+write_LOG = True # writes Cell-Problem output-LOG in "Cell-Problem_output.log"
+
+# ---------------------------------
+# Setup Experiment
+# ---------------------------------
+outputPath = Path + '/results_test2/'
+
+# ----- Define Input parameters --------------------
+class ParameterSet:
+ pass
+
+ParameterSet.materialFunction = "theoretical_material2"
+ParameterSet.gamma=1
+ParameterSet.numLevels=4
+
+# ----- Define Parameters for Material Function --------------------
+# Liste mit Drehwinkel eigenstrain
+materialFunctionParameter=[[1,30],[2,30],[4,30]
+ ]
+# ------ Loops through Parameters for Material Function -----------
+for i in range(0,np.shape(materialFunctionParameter)[0]):
+ print("------------------")
+ print("New Loop")
+ print("------------------")
+ # Check output directory
+ path = outputPath + str(i)
+ isExist = os.path.exists(path)
+ if not isExist:
+ # Create a new directory because it does not exist
+ os.makedirs(path)
+ print("The new directory " + path + " is created!")
+ # keine Parameter daher naechste Zeiel auskommentiert
+ SetParameterMaterialFunction(ParameterSet.materialFunction, "param_n",materialFunctionParameter[i][0])
+ SetParameterMaterialFunction(ParameterSet.materialFunction, "param_delta_theta",materialFunctionParameter[i][0])
+ SetParametersCellProblem(ParameterSet, ParsetFile, path)
+ #Run Cell-Problem
+ thread = threading.Thread(target=run_CellProblem(executable, " ./"+ParsetFile, write_LOG))
+ thread.start()
+ # ---------------------------------------------------
+ # wait here for the result to be available before continuing
+ thread.join()
+ f = open(outputPath+"parameter.txt", "w")
+ f.write("param_n = "+str(materialFunctionParameter[i][0])+"\n")
+ f.write("param_delta_theta = "+str(materialFunctionParameter[i][1])+"\n")
+ f.close()
+ #
+
diff --git a/experiment/theoretical/test3.py b/experiment/theoretical/test3.py
new file mode 100644
index 00000000..7371fe43
--- /dev/null
+++ b/experiment/theoretical/test3.py
@@ -0,0 +1,144 @@
+import subprocess
+import re
+import os
+import numpy as np
+import matplotlib.pyplot as plt
+import math
+import fileinput
+import time
+import matplotlib.ticker as tickers
+import matplotlib as mpl
+from matplotlib.ticker import MultipleLocator,FormatStrFormatter,MaxNLocator
+import codecs
+import sys
+import threading
+
+# Schreibe input datei für Parameter
+def SetParametersCellProblem(ParameterSet, ParsetFilePath, outputPath):
+ print('----set Parameters -----')
+ with open(ParsetFilePath, 'r') as file:
+ filedata = file.read()
+ filedata = re.sub('(?m)^materialFunction\s?=.*','materialFunction = '+str(ParameterSet.materialFunction),filedata)
+ filedata = re.sub('(?m)^gamma\s?=.*','gamma='+str(ParameterSet.gamma),filedata)
+ filedata = re.sub('(?m)^numLevels\s?=.*','numLevels='+str(ParameterSet.numLevels)+' '+str(ParameterSet.numLevels) ,filedata)
+ filedata = re.sub('(?m)^outputPath\s?=\s?.*','outputPath='+str(outputPath),filedata)
+ f = open(ParsetFilePath,'w')
+ f.write(filedata)
+ f.close()
+
+
+# Ändere Parameter der MaterialFunction
+def SetParameterMaterialFunction(materialFunction, parameterName, parameterValue):
+ with open(Path+"/"+materialFunction+'.py', 'r') as file:
+ filedata = file.read()
+ filedata = re.sub('(?m)^'+str(parameterName)+'\s?=.*',str(parameterName)+' = '+str(parameterValue),filedata)
+ f = open(Path+"/"+materialFunction+'.py','w')
+ f.write(filedata)
+ f.close()
+
+# Rufe Programm zum Lösen des Cell-Problems auf
+def run_CellProblem(executable, parset,write_LOG):
+ print('----- RUN Cell-Problem ----')
+ processList = []
+ LOGFILE = "Cell-Problem_output.log"
+ print('LOGFILE:',LOGFILE)
+ print('executable:',executable)
+ if write_LOG:
+ p = subprocess.Popen(executable + parset
+ + " | tee " + LOGFILE, shell=True)
+
+ else:
+ p = subprocess.Popen(executable + parset
+ + " | tee " + LOGFILE, shell=True)
+
+ p.wait() # wait
+ processList.append(p)
+ exit_codes = [p.wait() for p in processList]
+
+ return
+
+# Read effective quantites
+def ReadEffectiveQuantities(QFilePath = os.path.dirname(os.getcwd()) + '/outputs/QMatrix.txt', BFilePath = os.path.dirname(os.getcwd())+ '/outputs/BMatrix.txt'):
+ # Read Output Matrices (effective quantities)
+ # From Cell-Problem output Files : ../outputs/Qmatrix.txt , ../outputs/Bmatrix.txt
+ # -- Read Matrix Qhom
+ X = []
+ # with codecs.open(path + '/outputs/QMatrix.txt', encoding='utf-8-sig') as f:
+ with codecs.open(QFilePath, encoding='utf-8-sig') as f:
+ for line in f:
+ s = line.split()
+ X.append([float(s[i]) for i in range(len(s))])
+ Q = np.array([[X[0][2], X[1][2], X[2][2]],
+ [X[3][2], X[4][2], X[5][2]],
+ [X[6][2], X[7][2], X[8][2]] ])
+
+ # -- Read Beff (as Vector)
+ X = []
+ # with codecs.open(path + '/outputs/BMatrix.txt', encoding='utf-8-sig') as f:
+ with codecs.open(BFilePath, encoding='utf-8-sig') as f:
+ for line in f:
+ s = line.split()
+ X.append([float(s[i]) for i in range(len(s))])
+ B = np.array([X[0][2], X[1][2], X[2][2]])
+ return Q, B
+
+# Function for evaluating the energy in terms of kappa, alpha and Q, B
+def eval_energy(kappa,alpha,Q,B) :
+ G=kappa*np.array([[np.cos(alpha)**2],[np.sin(alpha)**2],[np.sqrt(2)*np.cos(alpha)*np.sin(alpha)]])-B
+ return np.matmul(np.transpose(G),np.matmul(Q,G))[0,0]
+
+#-------------------------------------------------------------------------------------------------------
+########################
+#### SET PARAMETERS ####
+########################
+# ----- Setup Paths -----
+Path = "./experiment/theoretical"
+# parset = ' ./experiment/wood-bilayer/cellsolver.parset.wood'
+ParsetFile = Path + '/cellsolver.parset'
+executable = 'build-cmake/src/Cell-Problem'
+write_LOG = True # writes Cell-Problem output-LOG in "Cell-Problem_output.log"
+
+# ---------------------------------
+# Setup Experiment
+# ---------------------------------
+outputPath = Path + '/results_test3/'
+
+# ----- Define Input parameters --------------------
+class ParameterSet:
+ pass
+
+ParameterSet.materialFunction = "theoretical_material3"
+ParameterSet.gamma=1
+ParameterSet.numLevels=4
+
+# ----- Define Parameters for Material Function --------------------
+# Liste mit Drehwinkel eigenstrain
+materialFunctionParameter=[[1/4, 30]]
+
+# ------ Loops through Parameters for Material Function -----------
+for i in range(0,np.shape(materialFunctionParameter)[0]):
+ print("------------------")
+ print("New Loop")
+ print("------------------")
+ # Check output directory
+ path = outputPath + str(i)
+ isExist = os.path.exists(path)
+ if not isExist:
+ # Create a new directory because it does not exist
+ os.makedirs(path)
+ print("The new directory " + path + " is created!")
+ # keine Parameter daher naechste Zeiel auskommentiert
+ SetParameterMaterialFunction(ParameterSet.materialFunction, "param_r",materialFunctionParameter[i][0])
+ SetParameterMaterialFunction(ParameterSet.materialFunction, "param_delta_theta",materialFunctionParameter[i][0])
+ SetParametersCellProblem(ParameterSet, ParsetFile, path)
+ #Run Cell-Problem
+ thread = threading.Thread(target=run_CellProblem(executable, " ./"+ParsetFile, write_LOG))
+ thread.start()
+ # ---------------------------------------------------
+ # wait here for the result to be available before continuing
+ thread.join()
+ f = open(outputPath+"parameter.txt", "w")
+ f.write("param_r = "+str(materialFunctionParameter[i][0])+"\n")
+ f.write("param_delta_theta = "+str(materialFunctionParameter[i][1])+"\n")
+ f.close()
+ #
diff --git a/experiment/theoretical/theoretical_material1.py b/experiment/theoretical/theoretical_material1.py
new file mode 100644
index 00000000..321039cf
--- /dev/null
+++ b/experiment/theoretical/theoretical_material1.py
@@ -0,0 +1,44 @@
+import math
+#from python_matrix_operations import *
+import ctypes
+import os
+import sys
+import numpy as np
+import elasticity_toolbox as elast
+
+param_delta_theta = 0.5
+param_r = 0.5
+# --- define geometry
+def indicatorFunction(x):
+ if (x[2]>=.5-param_r) and (x[0]<=param_r-.5): #top left square - fibre orientation = y_1
+ return 1 # fibre1
+ elif (x[2]<=param_r-.5) and (x[1]<=param_r-.5): #bottom back - fibre orientation = y_2
+ return 2
+ else :
+ return 3 # matrix
+
+# --- Number of material phases
+Phases=3
+
+# --- PHASE 1 fibre
+phase1_type="isotropic"
+materialParameters_phase1 = [1.2, 0.48]
+def prestrain_phase1(x):
+ factor=1
+ return [[factor,0,0],[0,factor,0],[0,0,factor]]
+
+
+# --- PHASE 2 fibre
+phase2_type="isotropic"
+# E in MPa and nu
+materialParameters_phase2 = [1.2,0.48]
+def prestrain_phase2(x):
+ return prestrain_phase1(x)
+
+
+# --- PHASE 3 matrix
+phase3_type="isotropic"
+materialParameters_phase3 = [1, 0.4]
+def prestrain_phase3(x):
+ factor = 0
+ return [[factor,0,0],[0,factor,0],[0,0,factor]]
diff --git a/experiment/theoretical/theoretical_material2.py b/experiment/theoretical/theoretical_material2.py
new file mode 100644
index 00000000..172bdeee
--- /dev/null
+++ b/experiment/theoretical/theoretical_material2.py
@@ -0,0 +1,85 @@
+import math
+#from python_matrix_operations import *
+import ctypes
+import os
+import sys
+import numpy as np
+import elasticity_toolbox as elast
+
+param_delta_theta = 4
+param_n = 4
+param_switch = int(0) # 1=GAMM-Artikel, 0=Vortrag
+# --- define geometry
+def indicatorFunction(x):
+ if param_n==1:
+ if (x[2]>=0) and (x[0]<=0): #top left square - fibre orientation = y_1
+ return 1 # fibre1
+ elif (x[2]<=0) and (x[1]<=0): #bottom back - fibre orientation = y_2
+ return 2
+ else :
+ return 3 # matrix
+ elif param_n==2:
+ if ((x[2]>=0) and ((np.abs(x[0]+3/8)<=1/8) or (np.abs(x[0]-1/8)<=1/8))):
+ return 1 # fibre1
+ elif (x[2]<=0) and (x[1]<=0): #bottom left square - fibre orientation = y_2
+ return 2
+ else :
+ return 3 # matrix
+ else:
+ if ((x[2]>=0) and (
+ (np.abs(x[0]+7/16)<=1/16) or
+ (np.abs(x[0]+3/16)<=1/16) or
+ (np.abs(x[0]-1/16)<=1/16) or
+ (np.abs(x[0]-5/16)<=1/16))): #bottom left square - fibre orientation = y_1
+ return 1 # fibre1
+ elif (x[2]<=0) and (x[1]<=0): #bottom left square - fibre orientation = y_2
+ return 2
+ else :
+ return 3 # matrix
+
+
+# --- Number of material phases
+Phases=3
+# E in MPa and nu
+E_natural = 6 # Young
+nu_natural =0.47
+# Silicon rubber MPa
+E_silicone = 3 # Young
+nu_silicone = 0.48
+#
+# --- PHASE 1 fibre
+phase1_type="isotropic"
+if (param_switch==0):
+ E = E_natural
+ nu = nu_natural
+ # [mu, lambda]
+ materialParameters_phase1 = [E/(2*(1+nu)), (E*nu)/((1+nu)*(1-2*nu))]
+elif (param_switch==1):
+ materialParameters_phase1 = [0,0] # [1.2, 0.48]
+
+def prestrain_phase1(x):
+ factor=1
+ return [[factor,0,0],[0,factor,0],[0,0,factor]]
+
+
+# --- PHASE 2 fibre
+phase2_type="isotropic"
+# E in MPa and nu
+materialParameters_phase2 = materialParameters_phase1
+def prestrain_phase2(x):
+ return prestrain_phase1(x)
+
+
+# --- PHASE 3 matrix
+phase3_type="isotropic"
+if (param_switch==0):
+ E = E_silicone
+ nu = nu_silicone
+ # [mu, lambda]
+ materialParameters_phase3 = [E/(2*(1+nu)), (E*nu)/((1+nu)*(1-2*nu))]
+elif (param_switch==1):
+ materialParameters_phase3 = [1, 0.4]
+
+def prestrain_phase3(x):
+ factor = 0
+ return [[factor,0,0],[0,factor,0],[0,0,factor]]
diff --git a/experiment/theoretical/theoretical_material3.py b/experiment/theoretical/theoretical_material3.py
new file mode 100644
index 00000000..3a6f699e
--- /dev/null
+++ b/experiment/theoretical/theoretical_material3.py
@@ -0,0 +1,48 @@
+import math
+#from python_matrix_operations import *
+import ctypes
+import os
+import sys
+import numpy as np
+import elasticity_toolbox as elast
+
+param_delta_theta = 0.25
+param_r = 0.25
+
+# --- define geometry
+def indicatorFunction(x):
+ alpha=np.pi/4
+ delta=param_r/np.sin(alpha)
+ if (x[2]>=.5-param_r) and (x[1]<=x[0]+delta/2) and (x[0]-delta/2<=x[1]): #top left square - fibre orientation = y_1
+ return 1 # fibre1
+ elif (x[2]<=param_r-.5) and (x[1]<=param_r-.5): #bottom back - fibre orientation = y_2
+ return 2
+ else :
+ return 3 # matrix
+
+
+# --- Number of material phases
+Phases=3
+
+# --- PHASE 1 fibre
+phase1_type="isotropic"
+materialParameters_phase1 = [1.2, 0.48]
+def prestrain_phase1(x):
+ factor=1
+ return [[factor,0,0],[0,factor,0],[0,0,factor]]
+
+
+# --- PHASE 2 fibre
+phase2_type="isotropic"
+# E in MPa and nu
+materialParameters_phase2 = [1.2,0.48]
+def prestrain_phase2(x):
+ return prestrain_phase1(x)
+
+
+# --- PHASE 3 matrix
+phase3_type="isotropic"
+materialParameters_phase3 = [1, 0.4]
+def prestrain_phase3(x):
+ factor = 0
+ return [[factor,0,0],[0,factor,0],[0,0,factor]]
diff --git a/experiment/theoretical_2/PolarPlotLocalEnergy.py b/experiment/theoretical_2/PolarPlotLocalEnergy.py
new file mode 100644
index 00000000..ad57e56b
--- /dev/null
+++ b/experiment/theoretical_2/PolarPlotLocalEnergy.py
@@ -0,0 +1,102 @@
+#!/usr/bin/env python3
+# -*- coding: utf-8 -*-
+"""
+Created on Wed Jul 6 13:17:28 2022
+
+@author: stefan
+"""
+import numpy as np
+import matplotlib.pyplot as plt
+import matplotlib.colors as colors
+import codecs
+
+
+
+def energy(kappa,alpha,Q,B) :
+ G=kappa*np.array([[np.cos(alpha)**2],[np.sin(alpha)**2],[np.sqrt(2)*np.cos(alpha)*np.sin(alpha)]])-B
+ return np.matmul(np.transpose(G),np.matmul(Q,G))[0,0]
+
+def xytokappaalpha(x,y):
+
+ if y>0:
+ return [np.sqrt(x**2+y**2), np.abs(np.arctan2(y,x))]
+ else:
+ return [-np.sqrt(x**2+y**2), np.abs(np.arctan2(y,x))]
+
+# Read effective quantites
+def ReadEffectiveQuantities(QFilePath, BFilePath):
+ # Read Output Matrices (effective quantities)
+ # From Cell-Problem output Files : ../outputs/Qmatrix.txt , ../outputs/Bmatrix.txt
+ # -- Read Matrix Qhom
+ X = []
+ # with codecs.open(path + '/outputs/QMatrix.txt', encoding='utf-8-sig') as f:
+ with codecs.open(QFilePath, encoding='utf-8-sig') as f:
+ for line in f:
+ s = line.split()
+ X.append([float(s[i]) for i in range(len(s))])
+ Q = np.array([[X[0][2], X[1][2], X[2][2]],
+ [X[3][2], X[4][2], X[5][2]],
+ [X[6][2], X[7][2], X[8][2]] ])
+
+ # -- Read Beff (as Vector)
+ X = []
+ # with codecs.open(path + '/outputs/BMatrix.txt', encoding='utf-8-sig') as f:
+ with codecs.open(BFilePath, encoding='utf-8-sig') as f:
+ for line in f:
+ s = line.split()
+ X.append([float(s[i]) for i in range(len(s))])
+ B = np.array([X[0][2], X[1][2], X[2][2]])
+ return Q, B
+
+number=4
+kappa=np.zeros(number)
+select=range(0,number)
+# select=[2]
+for n in select:
+ # Read from Date
+ print(str(n))
+ Path='./experiment/theoretical/results_test1/'
+ Path="./results_test1/"
+ DataPath = Path+str(n)
+ QFilePath = DataPath + '/QMatrix.txt'
+ BFilePath = DataPath + '/BMatrix.txt'
+ Q, B = ReadEffectiveQuantities(QFilePath,BFilePath)
+ # Q=0.5*(np.transpose(Q)+Q) # symmetrize
+ B=np.transpose([B])
+ #
+
+ N=500
+ length=0.5
+ r, theta = np.meshgrid(np.linspace(0,length,N),np.radians(np.linspace(0, 360, N)))
+ E=np.zeros(np.shape(r))
+ for i in range(0,N):
+ for j in range(0,N):
+ if theta[i,j]<np.pi:
+ E[i,j]=energy(r[i,j],theta[i,j],Q,B)
+ else:
+ E[i,j]=energy(-r[i,j],theta[i,j],Q,B)
+
+ # Compute Minimizer
+ [imin,jmin]=np.unravel_index(E.argmin(),(N,N))
+ kappamin=r[imin,jmin]
+ alphamin=theta[imin,jmin]
+ kappa[n]=kappamin
+ fig, ax = plt.subplots(figsize=(6,6),subplot_kw=dict(projection='polar'))
+ levs=np.geomspace(E.min(),E.max(),400)
+ pcm=ax.contourf(theta, r, E, levs, norm=colors.PowerNorm(gamma=0.2), cmap='brg')
+ ax.set_xticks([0,np.pi/2])
+ ax.set_yticks([kappamin])
+ colorbarticks=np.linspace(E.min(),E.max(),6)
+ # plt.colorbar(pcm, extend='max', ticks=colorbarticks, pad=0.1)
+ plt.show()
+ print("Symmetrigap: "+str(energy(-kappamin,0,Q,B)-energy(kappamin,np.pi/2,Q,B)))
+
+fig.savefig(Path+'localenergy.png', dpi=300)
+f = open(Path+"kappa_simulation.txt", "w")
+f.write("kappa = "+str(kappa))
+f.close()
+
+# theta_n=[1, 2, 4]
+# plt.scatter(theta_n, kappa, marker='x')
+# plt.show()
+
diff --git a/experiment/theoretical_2/__pycache__/elasticity_toolbox.cpython-310.pyc b/experiment/theoretical_2/__pycache__/elasticity_toolbox.cpython-310.pyc
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diff --git a/experiment/theoretical_2/auswertung_test1.py b/experiment/theoretical_2/auswertung_test1.py
new file mode 100644
index 00000000..b92a38b4
--- /dev/null
+++ b/experiment/theoretical_2/auswertung_test1.py
@@ -0,0 +1,30 @@
+#!/usr/bin/env python3
+# -*- coding: utf-8 -*-
+"""
+Created on Wed Jul 6 13:17:28 2022
+
+@author: stefan
+"""
+import numpy as np
+import matplotlib.pyplot as plt
+import matplotlib.colors as colors
+from matplotlib.ticker import StrMethodFormatter
+import codecs
+
+
+kappa = [0.05931864, 0.16352705, 0.24529058, 0.27735471]
+theta_r=[1/8, 1/4, 3/8, 1/2]
+# plotting a line plot after changing it's width and height
+f = plt.figure()
+f.set_figwidth(3)
+f.set_figheight(3)
+plt.gca().yaxis.set_major_formatter(StrMethodFormatter('{x:,.3f}')) # 2 decimal places
+plt.gca().xaxis.set_major_formatter(StrMethodFormatter('{x:,.3f}')) # 2 decimal places
+plt.scatter(theta_r, kappa, marker='D')
+plt.xticks(theta_r)
+plt.yticks(kappa)
+plt.ylabel(r"$\kappa$")
+plt.xlabel(r"$r$")
+# plt.legend()
+plt.show()
+
diff --git a/experiment/theoretical_2/auswertung_test2.py b/experiment/theoretical_2/auswertung_test2.py
new file mode 100644
index 00000000..12c0e732
--- /dev/null
+++ b/experiment/theoretical_2/auswertung_test2.py
@@ -0,0 +1,104 @@
+#!/usr/bin/env python3
+# -*- coding: utf-8 -*-
+"""
+Created on Wed Jul 6 13:17:28 2022
+
+@author: stefan
+"""
+import numpy as np
+import matplotlib.pyplot as plt
+import matplotlib.colors as colors
+import codecs
+
+
+
+def energy(kappa,alpha,Q,B) :
+ G=kappa*np.array([[np.cos(alpha)**2],[np.sin(alpha)**2],[np.sqrt(2)*np.cos(alpha)*np.sin(alpha)]])-B
+ return np.matmul(np.transpose(G),np.matmul(Q,G))[0,0]
+
+def xytokappaalpha(x,y):
+
+ if y>0:
+ return [np.sqrt(x**2+y**2), np.abs(np.arctan2(y,x))]
+ else:
+ return [-np.sqrt(x**2+y**2), np.abs(np.arctan2(y,x))]
+
+# Read effective quantites
+def ReadEffectiveQuantities(QFilePath, BFilePath):
+ # Read Output Matrices (effective quantities)
+ # From Cell-Problem output Files : ../outputs/Qmatrix.txt , ../outputs/Bmatrix.txt
+ # -- Read Matrix Qhom
+ X = []
+ # with codecs.open(path + '/outputs/QMatrix.txt', encoding='utf-8-sig') as f:
+ with codecs.open(QFilePath, encoding='utf-8-sig') as f:
+ for line in f:
+ s = line.split()
+ X.append([float(s[i]) for i in range(len(s))])
+ Q = np.array([[X[0][2], X[1][2], X[2][2]],
+ [X[3][2], X[4][2], X[5][2]],
+ [X[6][2], X[7][2], X[8][2]] ])
+
+ # -- Read Beff (as Vector)
+ X = []
+ # with codecs.open(path + '/outputs/BMatrix.txt', encoding='utf-8-sig') as f:
+ with codecs.open(BFilePath, encoding='utf-8-sig') as f:
+ for line in f:
+ s = line.split()
+ X.append([float(s[i]) for i in range(len(s))])
+ B = np.array([X[0][2], X[1][2], X[2][2]])
+ return Q, B
+
+number=3
+kappa=np.zeros(number)
+select=range(0,number)
+#select=[0]
+for n in select:
+ # Read from Date
+ print(str(n))
+ # Path='./experiment/theoretical/results_test2/'
+ Path="./results_test2/"
+ DataPath = Path+str(n)
+ QFilePath = DataPath + '/QMatrix.txt'
+ BFilePath = DataPath + '/BMatrix.txt'
+ Q, B = ReadEffectiveQuantities(QFilePath,BFilePath)
+ # Q=0.5*(np.transpose(Q)+Q) # symmetrize
+ B=np.transpose([B])
+ #
+
+ N=500
+ length=.5
+ r, theta = np.meshgrid(np.linspace(0,length,N),np.radians(np.linspace(0, 360, N)))
+ E=np.zeros(np.shape(r))
+ for i in range(0,N):
+ for j in range(0,N):
+ if theta[i,j]<np.pi:
+ E[i,j]=energy(r[i,j],theta[i,j],Q,B)
+ else:
+ E[i,j]=energy(-r[i,j],theta[i,j],Q,B)
+
+ # Compute Minimizer
+ [imin,jmin]=np.unravel_index(E.argmin(),(N,N))
+ kappamin=r[imin,jmin]
+ alphamin=theta[imin,jmin]
+ kappa[n]=kappamin
+ fig, ax = plt.subplots(figsize=(6,6),subplot_kw=dict(projection='polar'))
+ levs=np.geomspace(E.min(),E.max(),400)
+ pcm=ax.contourf(theta, r, E, levs, norm=colors.PowerNorm(gamma=0.2), cmap='brg')
+ ax.set_xticks([0,np.pi/2])
+ ax.set_yticks([kappamin])
+ colorbarticks=np.linspace(E.min(),E.max(),6)
+ # plt.colorbar(pcm, extend='max', ticks=colorbarticks, pad=0.1)
+ plt.show()
+ fig.savefig(Path+'localenergy'+str(n)+'.png', dpi=300)
+ print("Symmetrigap: "+str(np.abs(energy(-kappamin,0,Q,B)-energy(kappamin,np.pi/2,Q,B))/E.min()))
+
+
+fig.savefig(Path+'localenergy.png', dpi=300)
+f = open(Path+"kappa_simulation.txt", "w")
+f.write("kappa = "+str(kappa))
+f.close()
+
+theta_n=[1, 2, 4]
+plt.scatter(theta_n, kappa, marker='x')
+plt.show()
+
diff --git a/experiment/theoretical_2/auswertung_test3.py b/experiment/theoretical_2/auswertung_test3.py
new file mode 100644
index 00000000..bb8ac9c8
--- /dev/null
+++ b/experiment/theoretical_2/auswertung_test3.py
@@ -0,0 +1,97 @@
+#!/usr/bin/env python3
+# -*- coding: utf-8 -*-
+"""
+Created on Wed Jul 6 13:17:28 2022
+
+@author: stefan
+"""
+import numpy as np
+import matplotlib.pyplot as plt
+import matplotlib.colors as colors
+import codecs
+
+
+
+def energy(kappa,alpha,Q,B) :
+ G=kappa*np.array([[np.cos(alpha)**2],[np.sin(alpha)**2],[np.sqrt(2)*np.cos(alpha)*np.sin(alpha)]])-B
+ return np.matmul(np.transpose(G),np.matmul(Q,G))[0,0]
+
+def xytokappaalpha(x,y):
+
+ if y>0:
+ return [np.sqrt(x**2+y**2), np.abs(np.arctan2(y,x))]
+ else:
+ return [-np.sqrt(x**2+y**2), np.abs(np.arctan2(y,x))]
+
+# Read effective quantites
+def ReadEffectiveQuantities(QFilePath, BFilePath):
+ # Read Output Matrices (effective quantities)
+ # From Cell-Problem output Files : ../outputs/Qmatrix.txt , ../outputs/Bmatrix.txt
+ # -- Read Matrix Qhom
+ X = []
+ # with codecs.open(path + '/outputs/QMatrix.txt', encoding='utf-8-sig') as f:
+ with codecs.open(QFilePath, encoding='utf-8-sig') as f:
+ for line in f:
+ s = line.split()
+ X.append([float(s[i]) for i in range(len(s))])
+ Q = np.array([[X[0][2], X[1][2], X[2][2]],
+ [X[3][2], X[4][2], X[5][2]],
+ [X[6][2], X[7][2], X[8][2]] ])
+
+ # -- Read Beff (as Vector)
+ X = []
+ # with codecs.open(path + '/outputs/BMatrix.txt', encoding='utf-8-sig') as f:
+ with codecs.open(BFilePath, encoding='utf-8-sig') as f:
+ for line in f:
+ s = line.split()
+ X.append([float(s[i]) for i in range(len(s))])
+ B = np.array([X[0][2], X[1][2], X[2][2]])
+ return Q, B
+
+number=1
+kappa=np.zeros(number)
+select=range(0,number)
+#select=[0]
+for n in select:
+ # Read from Date
+ print(str(n))
+ # Path='./experiment/theoretical/results_test2/'
+ Path="./results_test3/"
+ DataPath = Path+str(n)
+ QFilePath = DataPath + '/QMatrix.txt'
+ BFilePath = DataPath + '/BMatrix.txt'
+ Q, B = ReadEffectiveQuantities(QFilePath,BFilePath)
+ # Q=0.5*(np.transpose(Q)+Q) # symmetrize
+ B=np.transpose([B])
+ #
+
+ N=500
+ length=.5
+ r, theta = np.meshgrid(np.linspace(0,length,N),np.radians(np.linspace(0, 360, N)))
+ E=np.zeros(np.shape(r))
+ for i in range(0,N):
+ for j in range(0,N):
+ if theta[i,j]<np.pi:
+ E[i,j]=energy(r[i,j],theta[i,j],Q,B)
+ else:
+ E[i,j]=energy(-r[i,j],theta[i,j],Q,B)
+
+ # Compute Minimizer
+ [imin,jmin]=np.unravel_index(E.argmin(),(N,N))
+ kappamin=r[imin,jmin]
+ alphamin=theta[imin,jmin]
+ kappa[n]=kappamin
+ fig, ax = plt.subplots(figsize=(6,6),subplot_kw=dict(projection='polar'))
+ levs=np.geomspace(E.min(),E.max(),400)
+ pcm=ax.contourf(theta, r, E, levs, norm=colors.PowerNorm(gamma=0.2), cmap='brg')
+ ax.set_xticks([0,np.pi/2])
+ ax.set_yticks([kappamin])
+ colorbarticks=np.linspace(E.min(),E.max(),6)
+ # plt.colorbar(pcm, extend='max', ticks=colorbarticks, pad=0.1)
+ plt.show()
+ print("Symmetrigap: "+str(np.abs(energy(-kappamin,0,Q,B)-energy(kappamin,np.pi/2,Q,B))/E.min()))
+
+
+f = open(Path+"kappa_simulation.txt", "w")
+f.write("kappa = "+str(kappa))
+f.close()
\ No newline at end of file
diff --git a/experiment/theoretical_2/cellsolver.parset b/experiment/theoretical_2/cellsolver.parset
new file mode 100644
index 00000000..bdf872b1
--- /dev/null
+++ b/experiment/theoretical_2/cellsolver.parset
@@ -0,0 +1,95 @@
+# --- Parameter File as Input for 'Cell-Problem'
+# NOTE: define variables without whitespaces in between! i.e. : gamma=1.0 instead of gamma = 1.0
+# since otherwise these cant be read from other Files!
+# --------------------------------------------------------
+
+# Path for results and logfile
+outputPath=./experiment/theoretical_2/results_test2/2
+
+# Path for material description
+geometryFunctionPath =experiment/theoretical_2/
+
+
+# --- DEBUG (Output) Option:
+#print_debug = true #(default=false)
+
+
+
+
+#############################################
+# Grid parameters
+#############################################
+#----------------------------------------------------
+## numLevels : Number of Levels on which solution is computed. starting with a 2x2x2 cube mesh.
+## {start,finish} computes on all grid from 2^(start) to 2^finish refinement
+#----------------------------------------------------
+
+numLevels=4 4
+#numLevels = 1 1 # computes all levels from first to second entry
+#numLevels = 2 2 # computes all levels from first to second entry
+#numLevels = 1 3 # computes all levels from first to second entry
+#numLevels = 4 4 # computes all levels from first to second entry
+#numLevels = 5 5 # computes all levels from first to second entry
+#numLevels = 6 6 # computes all levels from first to second entry
+#numLevels = 1 6
+
+
+#############################################
+# Material / Prestrain parameters and ratios
+#############################################
+
+# --- Choose material definition:
+materialFunction = theoretical_material2
+
+
+
+# --- Choose scale ratio gamma:
+gamma=1
+
+#############################################
+# Assembly options
+#############################################
+#set_IntegralZero = true #(default = false)
+#set_oneBasisFunction_Zero = true #(default = false)
+
+#arbitraryLocalIndex = 7 #(default = 0)
+#arbitraryElementNumber = 3 #(default = 0)
+#############################################
+
+
+#############################################
+# Solver Type: #1: CG - SOLVER , #2: GMRES - SOLVER, #3: QR - SOLVER (default), #4: UMFPACK - SOLVER
+#############################################
+Solvertype = 2 # recommended to use iterative solver (e.g GMRES) for finer grid-levels
+Solver_verbosity = 0 #(default = 2) degree of information for solver output
+
+
+#############################################
+# Write/Output options #(default=false)
+#############################################
+
+# --- (Optional output) write Material / prestrain / Corrector functions to .vtk-Files:
+write_materialFunctions = true # VTK indicator function for material/prestrain definition
+#write_prestrainFunctions = true # VTK norm of B (currently not implemented)
+
+# --- Write Correctos to VTK-File:
+write_VTK = true
+
+# --- (Optional output) L2Error, integral mean:
+#write_L2Error = true
+#write_IntegralMean = true
+
+# --- check orthogonality (75) from paper:
+write_checkOrthogonality = true
+
+# --- Write corrector-coefficients to log-File:
+#write_corrector_phi1 = true
+#write_corrector_phi2 = true
+#write_corrector_phi3 = true
+
+
+# --- Print Condition number of matrix (can be expensive):
+#print_conditionNumber= true #(default=false)
+
+# --- write effective quantities to Matlab-folder for symbolic minimization:
+write_toMATLAB = true # writes effective quantities to .txt-files QMatrix.txt and BMatrix.txt
diff --git a/experiment/theoretical_2/elasticity_toolbox.py b/experiment/theoretical_2/elasticity_toolbox.py
new file mode 100644
index 00000000..8e619526
--- /dev/null
+++ b/experiment/theoretical_2/elasticity_toolbox.py
@@ -0,0 +1,123 @@
+import math
+import numpy as np
+
+
+def strain_to_voigt(strain_matrix):
+ # Ensure the input matrix is a 3x3 strain matrix
+ if strain_matrix.shape != (3, 3):
+ raise ValueError("Input matrix should be a 3x3 strain matrix.")
+
+ # Extract the components from the 3x3 strain matrix
+ ε_xx = strain_matrix[0, 0]
+ ε_yy = strain_matrix[1, 1]
+ ε_zz = strain_matrix[2, 2]
+ γ_yz = .5*(strain_matrix[1, 2]+strain_matrix[2,1])
+ γ_xz = .5*(strain_matrix[0, 2]+strain_matrix[0,2])
+ γ_xy = .5*(strain_matrix[0, 1]+strain_matrix[0,1])
+
+ # Create the Voigt notation vector
+ voigt_notation = np.array([ε_xx, ε_yy, ε_zz, γ_yz, γ_xz, γ_xy])
+
+ return voigt_notation
+
+def voigt_to_strain(voigt_notation):
+ # Ensure the input vector has 6 elements
+ if len(voigt_notation) != 6:
+ raise ValueError("Input vector should have 6 elements in Voigt notation.")
+
+ # Extract the components from the Voigt notation vector
+ ε_xx = voigt_notation[0]
+ ε_yy = voigt_notation[1]
+ ε_zz = voigt_notation[2]
+ γ_yz = voigt_notation[3]
+ γ_xz = voigt_notation[4]
+ γ_xy = voigt_notation[5]
+
+ # Create the 3x3 strain matrix
+ strain_matrix = np.array([[ε_xx, γ_xy, γ_xz],
+ [γ_xy, ε_yy, γ_yz],
+ [γ_xz, γ_yz, ε_zz]])
+
+ return strain_matrix
+
+
+def rotation_matrix(ax, angle):
+ cos_theta = np.cos(angle)
+ sin_theta = np.sin(angle)
+ if ax==0:
+ Q=np.array([[0, 0, 1],
+ [0,1,0],
+ [-1,0,0]
+ ])
+ elif ax==1:
+ Q=np.array([[1, 0, 0],
+ [0,0,1],
+ [0,-1,0]
+ ])
+ else:
+ Q=np.array([[1, 0, 0],
+ [0,1,0],
+ [0,0,1]
+ ])
+
+ R = np.array([[cos_theta, -sin_theta, 0],
+ [sin_theta, cos_theta, 0],
+ [0, 0, 1]])
+ return np.dot(np.dot(Q.T, R),Q)
+
+def rotation_matrix_compliance(ax,theta):
+ R=rotation_matrix(ax,theta)
+ Q_xx=R[0,0]
+ Q_xy=R[0,1]
+ Q_xz=R[0,2]
+ Q_yx=R[1,0]
+ Q_yy=R[1,1]
+ Q_yz=R[1,2]
+ Q_zx=R[2,0]
+ Q_zy=R[2,1]
+ Q_zz=R[2,2]
+ return np.array([
+ [Q_xx**2, Q_xy**2, Q_xz**2, Q_xy*Q_xz, Q_xx*Q_xz, Q_xx*Q_xy],
+ [Q_yx**2, Q_yy**2, Q_yz**2, Q_yy*Q_yz, Q_yx*Q_yz, Q_yx*Q_yy],
+ [Q_zx**2, Q_zy**2, Q_zz**2, Q_zy*Q_zz, Q_zx*Q_zz, Q_zx*Q_zy],
+ [2*Q_yx*Q_zx, 2*Q_yy*Q_zy, 2*Q_yz*Q_zz, Q_yy*Q_zz + Q_yz*Q_zy, Q_yx*Q_zz + Q_yz*Q_zx, Q_yx*Q_zy + Q_yy*Q_zx],
+ [2*Q_xx*Q_zx, 2*Q_xy*Q_zy, 2*Q_xz*Q_zz, Q_xy*Q_zz + Q_xz*Q_zy, Q_xx*Q_zz + Q_xz*Q_zx, Q_xx*Q_zy + Q_xy*Q_zx],
+ [2*Q_xx*Q_yx, 2*Q_xy*Q_yy, 2*Q_xz*Q_yz, Q_xy*Q_yz + Q_xz*Q_yy, Q_xx*Q_yz + Q_xz*Q_yx, Q_xx*Q_yy + Q_xy*Q_yx]
+ ])
+
+def rotate_strain(eps, ax, theta):
+ B=voigt_to_strain(np.matmul(rotation_matrix_epsilon(theta,ax),strain_to_voigt(eps)))
+
+import numpy as np
+
+def voigt_to_tensor(voigt_matrix):
+ tensor = np.zeros((6, 6))
+
+ tensor[0, 0] = voigt_matrix[0]
+ tensor[0, 1] = tensor[1, 0] = voigt_matrix[1]
+ tensor[0, 2] = tensor[2, 0] = voigt_matrix[2]
+ tensor[0, 3] = tensor[3, 0] = voigt_matrix[3]
+ tensor[0, 4] = tensor[4, 0] = voigt_matrix[4]
+ tensor[0, 5] = tensor[5, 0] = voigt_matrix[5]
+
+ tensor[1, 1] = voigt_matrix[6]
+ tensor[1, 2] = tensor[2, 1] = voigt_matrix[7]
+ tensor[1, 3] = tensor[3, 1] = voigt_matrix[8]
+ tensor[1, 4] = tensor[4, 1] = voigt_matrix[9]
+ tensor[1, 5] = tensor[5, 1] = voigt_matrix[10]
+
+ tensor[2, 2] = voigt_matrix[11]
+ tensor[2, 3] = tensor[3, 2] = voigt_matrix[12]
+ tensor[2, 4] = tensor[4, 2] = voigt_matrix[13]
+ tensor[2, 5] = tensor[5, 2] = voigt_matrix[14]
+
+ tensor[3, 3] = voigt_matrix[15]
+ tensor[3, 4] = tensor[4, 3] = voigt_matrix[16]
+ tensor[3, 5] = tensor[5, 3] = voigt_matrix[17]
+
+ tensor[4, 4] = voigt_matrix[18]
+ tensor[4, 5] = tensor[5, 4] = voigt_matrix[19]
+
+ tensor[5, 5] = voigt_matrix[20]
+
+ return tensor
diff --git a/experiment/theoretical_2/results_test1/0/BMatrix.txt b/experiment/theoretical_2/results_test1/0/BMatrix.txt
new file mode 100644
index 00000000..382c1f04
--- /dev/null
+++ b/experiment/theoretical_2/results_test1/0/BMatrix.txt
@@ -0,0 +1,3 @@
+1 1 -0.123280182257566068
+1 2 0.123280182257564638
+1 3 1.77110659861450202e-15
diff --git a/experiment/theoretical_2/results_test1/0/QMatrix.txt b/experiment/theoretical_2/results_test1/0/QMatrix.txt
new file mode 100644
index 00000000..0a05d1c2
--- /dev/null
+++ b/experiment/theoretical_2/results_test1/0/QMatrix.txt
@@ -0,0 +1,9 @@
+1 1 0.374987917501798884
+1 2 0.194319942726730283
+1 3 8.6309216253864984e-18
+2 1 0.194319942726748657
+2 2 0.374987917501818202
+2 3 6.03108634268743199e-18
+3 1 4.70416707107210991e-15
+3 2 4.69427328949681625e-15
+3 3 0.176688452863120599
diff --git a/experiment/theoretical_2/results_test1/0/output.txt b/experiment/theoretical_2/results_test1/0/output.txt
new file mode 100644
index 00000000..7d5c0bd1
--- /dev/null
+++ b/experiment/theoretical_2/results_test1/0/output.txt
@@ -0,0 +1,49 @@
+Number of Grid-Elements in each direction: [8,8,8]
+Solver-type used: GMRES-Solver
+---------- OUTPUT ----------
+ --------------------
+Corrector-Matrix M_1:
+0.00112699 -3.22394e-18 0
+-3.22394e-18 -0.000552192 0
+0 0 0
+
+ --------------------
+Corrector-Matrix M_2:
+0.000552192 -1.55429e-18 0
+-1.55429e-18 -0.00112699 0
+0 0 0
+
+ --------------------
+Corrector-Matrix M_3:
+-4.1035e-17 -4.88854e-18 0
+-4.88854e-18 -1.5627e-16 0
+0 0 0
+
+ --------------------
+--- Effective moduli ---
+Qeff_:
+0.374988 0.19432 8.63092e-18
+0.19432 0.374988 6.03109e-18
+4.70417e-15 4.69427e-15 0.176688
+
+------------------------
+--- Prestrain Output ---
+Bhat_: -0.0222728 0.0222728 3.11714e-16
+Beff_: -0.12328 0.12328 1.77111e-15 (Effective Prestrain)
+------------------------
+size of FiniteElementBasis: 1728
+q1=0.374988
+q2=0.374988
+q3=0.176688
+q12=0.19432
+q23=6.03109e-18
+q_onetwo=0.194320
+b1=-0.123280
+b2=0.123280
+b3=0.000000
+mu_gamma=0.176688
+---------------------------------------------------------------------------------------------------------------------------------------
+ Levels | q1 | q2 | q3 | q12 | q23 | b1 | b2 | b3 |
+---------------------------------------------------------------------------------------------------------------------------------------
+ 3 & 3.74988e-01 & 3.74988e-01 & 1.76688e-01 & 1.94320e-01 & 6.03109e-18 & -1.23280e-01 & 1.23280e-01 & 1.77111e-15 &
+---------------------------------------------------------------------------------------------------------------------------------------
diff --git a/experiment/theoretical_2/results_test1/1/BMatrix.txt b/experiment/theoretical_2/results_test1/1/BMatrix.txt
new file mode 100644
index 00000000..bd237ef2
--- /dev/null
+++ b/experiment/theoretical_2/results_test1/1/BMatrix.txt
@@ -0,0 +1,3 @@
+1 1 -0.333595043604400454
+1 2 0.333595043614512143
+1 3 -7.81713654353855538e-16
diff --git a/experiment/theoretical_2/results_test1/1/QMatrix.txt b/experiment/theoretical_2/results_test1/1/QMatrix.txt
new file mode 100644
index 00000000..8608fc14
--- /dev/null
+++ b/experiment/theoretical_2/results_test1/1/QMatrix.txt
@@ -0,0 +1,9 @@
+1 1 0.414802934116062283
+1 2 0.210905822948710547
+1 3 5.21258781784376089e-18
+2 1 0.210905822948966815
+2 2 0.414802934116015598
+2 3 5.0986089468788541e-18
+3 1 3.6967734955190457e-15
+3 2 3.53605063490387752e-15
+3 3 0.192605867255330493
diff --git a/experiment/theoretical_2/results_test1/1/output.txt b/experiment/theoretical_2/results_test1/1/output.txt
new file mode 100644
index 00000000..a0b6810a
--- /dev/null
+++ b/experiment/theoretical_2/results_test1/1/output.txt
@@ -0,0 +1,49 @@
+Number of Grid-Elements in each direction: [8,8,8]
+Solver-type used: GMRES-Solver
+---------- OUTPUT ----------
+ --------------------
+Corrector-Matrix M_1:
+0.00481143 6.95855e-19 0
+6.95855e-19 -0.00230973 0
+0 0 0
+
+ --------------------
+Corrector-Matrix M_2:
+0.00230973 -9.94791e-19 0
+-9.94791e-19 -0.00481143 0
+0 0 0
+
+ --------------------
+Corrector-Matrix M_3:
+-4.51041e-16 9.2713e-18 0
+9.2713e-18 -4.72512e-16 0
+0 0 0
+
+ --------------------
+--- Effective moduli ---
+Qeff_:
+0.414803 0.210906 5.21259e-18
+0.210906 0.414803 5.09861e-18
+3.69677e-15 3.53605e-15 0.192606
+
+------------------------
+--- Prestrain Output ---
+Bhat_: -0.0680191 0.0680191 -2.04179e-16
+Beff_: -0.333595 0.333595 -7.81714e-16 (Effective Prestrain)
+------------------------
+size of FiniteElementBasis: 1728
+q1=0.414803
+q2=0.414803
+q3=0.192606
+q12=0.210906
+q23=5.09861e-18
+q_onetwo=0.210906
+b1=-0.333595
+b2=0.333595
+b3=-0.000000
+mu_gamma=0.192606
+---------------------------------------------------------------------------------------------------------------------------------------
+ Levels | q1 | q2 | q3 | q12 | q23 | b1 | b2 | b3 |
+---------------------------------------------------------------------------------------------------------------------------------------
+ 3 & 4.14803e-01 & 4.14803e-01 & 1.92606e-01 & 2.10906e-01 & 5.09861e-18 & -3.33595e-01 & 3.33595e-01 & -7.81714e-16 &
+---------------------------------------------------------------------------------------------------------------------------------------
diff --git a/experiment/theoretical_2/results_test1/2/BMatrix.txt b/experiment/theoretical_2/results_test1/2/BMatrix.txt
new file mode 100644
index 00000000..5779f820
--- /dev/null
+++ b/experiment/theoretical_2/results_test1/2/BMatrix.txt
@@ -0,0 +1,3 @@
+1 1 -0.491088832895145377
+1 2 0.491088832897109862
+1 3 3.62202927891329793e-13
diff --git a/experiment/theoretical_2/results_test1/2/QMatrix.txt b/experiment/theoretical_2/results_test1/2/QMatrix.txt
new file mode 100644
index 00000000..15a3f62a
--- /dev/null
+++ b/experiment/theoretical_2/results_test1/2/QMatrix.txt
@@ -0,0 +1,9 @@
+1 1 0.457296130405472401
+1 2 0.229243729193503359
+1 3 3.66765266161112047e-19
+2 1 0.229243729193430223
+2 2 0.457296130405454526
+2 3 7.66607168912504522e-18
+3 1 6.55611907976829961e-15
+3 2 6.5151542370984767e-15
+3 3 0.210746621600492179
diff --git a/experiment/theoretical_2/results_test1/2/output.txt b/experiment/theoretical_2/results_test1/2/output.txt
new file mode 100644
index 00000000..212f06df
--- /dev/null
+++ b/experiment/theoretical_2/results_test1/2/output.txt
@@ -0,0 +1,49 @@
+Number of Grid-Elements in each direction: [8,8,8]
+Solver-type used: GMRES-Solver
+---------- OUTPUT ----------
+ --------------------
+Corrector-Matrix M_1:
+0.0077642 9.27013e-18 0
+9.27013e-18 -0.00368101 0
+0 0 0
+
+ --------------------
+Corrector-Matrix M_2:
+0.00368101 6.6172e-18 0
+6.6172e-18 -0.0077642 0
+0 0 0
+
+ --------------------
+Corrector-Matrix M_3:
+3.49121e-16 -5.16913e-17 0
+-5.16913e-17 3.41962e-16 0
+0 0 0
+
+ --------------------
+--- Effective moduli ---
+Qeff_:
+0.457296 0.229244 3.66765e-19
+0.229244 0.457296 7.66607e-18
+6.55612e-15 6.51515e-15 0.210747
+
+------------------------
+--- Prestrain Output ---
+Bhat_: -0.111994 0.111994 7.63129e-14
+Beff_: -0.491089 0.491089 3.62203e-13 (Effective Prestrain)
+------------------------
+size of FiniteElementBasis: 1728
+q1=0.457296
+q2=0.457296
+q3=0.210747
+q12=0.229244
+q23=7.66607e-18
+q_onetwo=0.229244
+b1=-0.491089
+b2=0.491089
+b3=0.000000
+mu_gamma=0.210747
+---------------------------------------------------------------------------------------------------------------------------------------
+ Levels | q1 | q2 | q3 | q12 | q23 | b1 | b2 | b3 |
+---------------------------------------------------------------------------------------------------------------------------------------
+ 3 & 4.57296e-01 & 4.57296e-01 & 2.10747e-01 & 2.29244e-01 & 7.66607e-18 & -4.91089e-01 & 4.91089e-01 & 3.62203e-13 &
+---------------------------------------------------------------------------------------------------------------------------------------
diff --git a/experiment/theoretical_2/results_test1/3/BMatrix.txt b/experiment/theoretical_2/results_test1/3/BMatrix.txt
new file mode 100644
index 00000000..395a6f51
--- /dev/null
+++ b/experiment/theoretical_2/results_test1/3/BMatrix.txt
@@ -0,0 +1,3 @@
+1 1 -0.551215953685474491
+1 2 0.551215953687034799
+1 3 8.54258111015289013e-13
diff --git a/experiment/theoretical_2/results_test1/3/QMatrix.txt b/experiment/theoretical_2/results_test1/3/QMatrix.txt
new file mode 100644
index 00000000..dc43cd65
--- /dev/null
+++ b/experiment/theoretical_2/results_test1/3/QMatrix.txt
@@ -0,0 +1,9 @@
+1 1 0.498015273876332765
+1 2 0.24814277831986406
+1 3 9.33176197990062684e-18
+2 1 0.248142778319796226
+2 2 0.498015273876318165
+2 3 6.89696577301814051e-18
+3 1 -2.44044324848688866e-14
+3 2 -2.55942740654371056e-14
+3 3 0.229832427218546492
diff --git a/experiment/theoretical_2/results_test1/3/output.txt b/experiment/theoretical_2/results_test1/3/output.txt
new file mode 100644
index 00000000..f5057b78
--- /dev/null
+++ b/experiment/theoretical_2/results_test1/3/output.txt
@@ -0,0 +1,49 @@
+Number of Grid-Elements in each direction: [8,8,8]
+Solver-type used: GMRES-Solver
+---------- OUTPUT ----------
+ --------------------
+Corrector-Matrix M_1:
+0.00797737 4.3527e-18 0
+4.3527e-18 -0.00376688 0
+0 0 0
+
+ --------------------
+Corrector-Matrix M_2:
+0.00376688 1.16449e-17 0
+1.16449e-17 -0.00797737 0
+0 0 0
+
+ --------------------
+Corrector-Matrix M_3:
+-8.50878e-16 -1.53362e-16 0
+-1.53362e-16 2.93525e-16 0
+0 0 0
+
+ --------------------
+--- Effective moduli ---
+Qeff_:
+0.498015 0.248143 9.33176e-18
+0.248143 0.498015 6.89697e-18
+-2.44044e-14 -2.55943e-14 0.229832
+
+------------------------
+--- Prestrain Output ---
+Bhat_: -0.137734 0.137734 1.9568e-13
+Beff_: -0.551216 0.551216 8.54258e-13 (Effective Prestrain)
+------------------------
+size of FiniteElementBasis: 1728
+q1=0.498015
+q2=0.498015
+q3=0.229832
+q12=0.248143
+q23=6.89697e-18
+q_onetwo=0.248143
+b1=-0.551216
+b2=0.551216
+b3=0.000000
+mu_gamma=0.229832
+---------------------------------------------------------------------------------------------------------------------------------------
+ Levels | q1 | q2 | q3 | q12 | q23 | b1 | b2 | b3 |
+---------------------------------------------------------------------------------------------------------------------------------------
+ 3 & 4.98015e-01 & 4.98015e-01 & 2.29832e-01 & 2.48143e-01 & 6.89697e-18 & -5.51216e-01 & 5.51216e-01 & 8.54258e-13 &
+---------------------------------------------------------------------------------------------------------------------------------------
diff --git a/experiment/theoretical_2/results_test1/kappa_simulation.txt b/experiment/theoretical_2/results_test1/kappa_simulation.txt
new file mode 100644
index 00000000..392bff19
--- /dev/null
+++ b/experiment/theoretical_2/results_test1/kappa_simulation.txt
@@ -0,0 +1 @@
+kappa = [0.05911824 0.16432866 0.24448898 0.27655311]
\ No newline at end of file
diff --git a/experiment/theoretical_2/results_test1/parameter.txt b/experiment/theoretical_2/results_test1/parameter.txt
new file mode 100644
index 00000000..22e8f28f
--- /dev/null
+++ b/experiment/theoretical_2/results_test1/parameter.txt
@@ -0,0 +1,2 @@
+param_r = 0.5
+param_delta_theta = 30
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diff --git a/experiment/theoretical_2/results_test2/0/BMatrix.txt b/experiment/theoretical_2/results_test2/0/BMatrix.txt
new file mode 100644
index 00000000..14b83035
--- /dev/null
+++ b/experiment/theoretical_2/results_test2/0/BMatrix.txt
@@ -0,0 +1,3 @@
+1 1 -0.522393071254333985
+1 2 0.522393071255300323
+1 3 2.32621611036982895e-14
diff --git a/experiment/theoretical_2/results_test2/0/QMatrix.txt b/experiment/theoretical_2/results_test2/0/QMatrix.txt
new file mode 100644
index 00000000..095f8c71
--- /dev/null
+++ b/experiment/theoretical_2/results_test2/0/QMatrix.txt
@@ -0,0 +1,9 @@
+1 1 0.469750821030932297
+1 2 0.220796419904863817
+1 3 -1.62041108578891892e-17
+2 1 0.220796419904601637
+2 2 0.469750821030746724
+2 3 -2.48593582107296471e-18
+3 1 -1.64371455035466083e-16
+3 2 -1.28871827760005525e-16
+3 3 0.229724552066225496
diff --git a/experiment/theoretical_2/results_test2/0/output.txt b/experiment/theoretical_2/results_test2/0/output.txt
new file mode 100644
index 00000000..09698ec6
--- /dev/null
+++ b/experiment/theoretical_2/results_test2/0/output.txt
@@ -0,0 +1,49 @@
+Number of Grid-Elements in each direction: [16,16,16]
+Solver-type used: GMRES-Solver
+---------- OUTPUT ----------
+ --------------------
+Corrector-Matrix M_1:
+0.00944596 2.01583e-17 0
+2.01583e-17 -0.00441411 0
+0 0 0
+
+ --------------------
+Corrector-Matrix M_2:
+0.00441411 1.47896e-17 0
+1.47896e-17 -0.00944596 0
+0 0 0
+
+ --------------------
+Corrector-Matrix M_3:
+-5.87996e-17 -5.00143e-16 0
+-5.00143e-16 -7.03779e-17 0
+0 0 0
+
+ --------------------
+--- Effective moduli ---
+Qeff_:
+0.469751 0.220796 -1.62041e-17
+0.220796 0.469751 -2.48594e-18
+-1.64371e-16 -1.28872e-16 0.229725
+
+------------------------
+--- Prestrain Output ---
+Bhat_: -0.130052 0.130052 5.36243e-15
+Beff_: -0.522393 0.522393 2.32622e-14 (Effective Prestrain)
+------------------------
+size of FiniteElementBasis: 13056
+q1=0.469751
+q2=0.469751
+q3=0.229725
+q12=0.220796
+q23=-2.48594e-18
+q_onetwo=0.220796
+b1=-0.522393
+b2=0.522393
+b3=0.000000
+mu_gamma=0.229725
+---------------------------------------------------------------------------------------------------------------------------------------
+ Levels | q1 | q2 | q3 | q12 | q23 | b1 | b2 | b3 |
+---------------------------------------------------------------------------------------------------------------------------------------
+ 4 & 4.69751e-01 & 4.69751e-01 & 2.29725e-01 & 2.20796e-01 & -2.48594e-18 & -5.22393e-01 & 5.22393e-01 & 2.32622e-14 &
+---------------------------------------------------------------------------------------------------------------------------------------
diff --git a/experiment/theoretical_2/results_test2/0/parameter2.txt b/experiment/theoretical_2/results_test2/0/parameter2.txt
new file mode 100644
index 00000000..22e8f28f
--- /dev/null
+++ b/experiment/theoretical_2/results_test2/0/parameter2.txt
@@ -0,0 +1,2 @@
+param_r = 0.5
+param_delta_theta = 30
diff --git a/experiment/theoretical_2/results_test2/1/BMatrix.txt b/experiment/theoretical_2/results_test2/1/BMatrix.txt
new file mode 100644
index 00000000..a9a5d92d
--- /dev/null
+++ b/experiment/theoretical_2/results_test2/1/BMatrix.txt
@@ -0,0 +1,3 @@
+1 1 -0.609422675636300037
+1 2 0.522096508738632337
+1 3 4.58229300318429858e-14
diff --git a/experiment/theoretical_2/results_test2/1/QMatrix.txt b/experiment/theoretical_2/results_test2/1/QMatrix.txt
new file mode 100644
index 00000000..27e11ef3
--- /dev/null
+++ b/experiment/theoretical_2/results_test2/1/QMatrix.txt
@@ -0,0 +1,9 @@
+1 1 0.475252081960640504
+1 2 0.223477514957490825
+1 3 -2.74598817076983576e-18
+2 1 0.223477514992098975
+2 2 0.471068750728537655
+2 3 4.54678021663247828e-18
+3 1 -7.65290032679524085e-16
+3 2 -8.60319982520964125e-16
+3 3 0.228423243339539533
diff --git a/experiment/theoretical_2/results_test2/1/output.txt b/experiment/theoretical_2/results_test2/1/output.txt
new file mode 100644
index 00000000..fe8895b8
--- /dev/null
+++ b/experiment/theoretical_2/results_test2/1/output.txt
@@ -0,0 +1,49 @@
+Number of Grid-Elements in each direction: [16,16,16]
+Solver-type used: GMRES-Solver
+---------- OUTPUT ----------
+ --------------------
+Corrector-Matrix M_1:
+0.00606915 3.87329e-18 0
+3.87329e-18 -0.00452178 0
+0 0 0
+
+ --------------------
+Corrector-Matrix M_2:
+0.00279544 5.8684e-18 0
+5.8684e-18 -0.0094887 0
+0 0 0
+
+ --------------------
+Corrector-Matrix M_3:
+-3.75982e-17 0.000599223 0
+0.000599223 -1.5556e-16 0
+0 0 0
+
+ --------------------
+--- Effective moduli ---
+Qeff_:
+0.475252 0.223478 -2.74599e-18
+0.223478 0.471069 4.54678e-18
+-7.6529e-16 -8.6032e-16 0.228423
+
+------------------------
+--- Prestrain Output ---
+Bhat_: -0.172953 0.109751 1.04842e-14
+Beff_: -0.609423 0.522097 4.58229e-14 (Effective Prestrain)
+------------------------
+size of FiniteElementBasis: 13056
+q1=0.475252
+q2=0.471069
+q3=0.228423
+q12=0.223478
+q23=4.54678e-18
+q_onetwo=0.223478
+b1=-0.609423
+b2=0.522097
+b3=0.000000
+mu_gamma=0.228423
+---------------------------------------------------------------------------------------------------------------------------------------
+ Levels | q1 | q2 | q3 | q12 | q23 | b1 | b2 | b3 |
+---------------------------------------------------------------------------------------------------------------------------------------
+ 4 & 4.75252e-01 & 4.71069e-01 & 2.28423e-01 & 2.23478e-01 & 4.54678e-18 & -6.09423e-01 & 5.22097e-01 & 4.58229e-14 &
+---------------------------------------------------------------------------------------------------------------------------------------
diff --git a/experiment/theoretical_2/results_test2/2/BMatrix.txt b/experiment/theoretical_2/results_test2/2/BMatrix.txt
new file mode 100644
index 00000000..16c5d5cc
--- /dev/null
+++ b/experiment/theoretical_2/results_test2/2/BMatrix.txt
@@ -0,0 +1,3 @@
+1 1 -0.676375272740408429
+1 2 0.521427601721522249
+1 3 7.89018875316103266e-14
diff --git a/experiment/theoretical_2/results_test2/2/QMatrix.txt b/experiment/theoretical_2/results_test2/2/QMatrix.txt
new file mode 100644
index 00000000..5acc8980
--- /dev/null
+++ b/experiment/theoretical_2/results_test2/2/QMatrix.txt
@@ -0,0 +1,9 @@
+1 1 0.481525647884904262
+1 2 0.22653129194639926
+1 3 4.58412907565047259e-18
+2 1 0.226531291945108765
+2 2 0.472564261351071491
+2 3 -5.18251814821623323e-19
+3 1 -1.50195884192366006e-15
+3 2 -1.52599420251283379e-15
+3 3 0.227924926820381762
diff --git a/experiment/theoretical_2/results_test2/2/output.txt b/experiment/theoretical_2/results_test2/2/output.txt
new file mode 100644
index 00000000..95551b78
--- /dev/null
+++ b/experiment/theoretical_2/results_test2/2/output.txt
@@ -0,0 +1,49 @@
+Number of Grid-Elements in each direction: [16,16,16]
+Solver-type used: GMRES-Solver
+---------- OUTPUT ----------
+ --------------------
+Corrector-Matrix M_1:
+0.00317997 4.8727e-18 0
+4.8727e-18 -0.00461286 0
+0 0 0
+
+ --------------------
+Corrector-Matrix M_2:
+0.00140306 5.93056e-18 0
+5.93056e-18 -0.00952624 0
+0 0 0
+
+ --------------------
+Corrector-Matrix M_3:
+3.1508e-16 0.000760481 0
+0.000760481 2.50448e-16 0
+0 0 0
+
+ --------------------
+--- Effective moduli ---
+Qeff_:
+0.481526 0.226531 4.58413e-18
+0.226531 0.472564 -5.18252e-19
+-1.50196e-15 -1.52599e-15 0.227925
+
+------------------------
+--- Prestrain Output ---
+Bhat_: -0.207572 0.0931879 1.82039e-14
+Beff_: -0.676375 0.521428 7.89019e-14 (Effective Prestrain)
+------------------------
+size of FiniteElementBasis: 13056
+q1=0.481526
+q2=0.472564
+q3=0.227925
+q12=0.226531
+q23=-5.18252e-19
+q_onetwo=0.226531
+b1=-0.676375
+b2=0.521428
+b3=0.000000
+mu_gamma=0.227925
+---------------------------------------------------------------------------------------------------------------------------------------
+ Levels | q1 | q2 | q3 | q12 | q23 | b1 | b2 | b3 |
+---------------------------------------------------------------------------------------------------------------------------------------
+ 4 & 4.81526e-01 & 4.72564e-01 & 2.27925e-01 & 2.26531e-01 & -5.18252e-19 & -6.76375e-01 & 5.21428e-01 & 7.89019e-14 &
+---------------------------------------------------------------------------------------------------------------------------------------
diff --git a/experiment/theoretical_2/results_test2/kappa_simulation.txt b/experiment/theoretical_2/results_test2/kappa_simulation.txt
new file mode 100644
index 00000000..2e746002
--- /dev/null
+++ b/experiment/theoretical_2/results_test2/kappa_simulation.txt
@@ -0,0 +1 @@
+kappa = [0.27655311 0.36372745 0.43086172]
\ No newline at end of file
diff --git a/experiment/theoretical_2/results_test2/parameter.txt b/experiment/theoretical_2/results_test2/parameter.txt
new file mode 100644
index 00000000..cb7ed6fe
--- /dev/null
+++ b/experiment/theoretical_2/results_test2/parameter.txt
@@ -0,0 +1 @@
+param_n = 4
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diff --git a/experiment/theoretical_2/results_test3/0/BMatrix.txt b/experiment/theoretical_2/results_test3/0/BMatrix.txt
new file mode 100644
index 00000000..c6c812e7
--- /dev/null
+++ b/experiment/theoretical_2/results_test3/0/BMatrix.txt
@@ -0,0 +1,3 @@
+1 1 -0.0633741371006788096
+1 2 0.25480782549535913
+1 3 0.20176632004029707
diff --git a/experiment/theoretical_2/results_test3/0/QMatrix.txt b/experiment/theoretical_2/results_test3/0/QMatrix.txt
new file mode 100644
index 00000000..bb8c3ffd
--- /dev/null
+++ b/experiment/theoretical_2/results_test3/0/QMatrix.txt
@@ -0,0 +1,9 @@
+1 1 0.40001961941709957
+1 2 0.192068502577749906
+1 3 0.00294787441142078162
+2 1 0.192068502557600523
+2 2 0.391865825867198925
+2 3 0.00292621902049723702
+3 1 0.00294787443992306592
+3 2 0.00292621903469695958
+3 3 0.202188765930722075
diff --git a/experiment/theoretical_2/results_test3/0/output.txt b/experiment/theoretical_2/results_test3/0/output.txt
new file mode 100644
index 00000000..e556adc4
--- /dev/null
+++ b/experiment/theoretical_2/results_test3/0/output.txt
@@ -0,0 +1,49 @@
+Number of Grid-Elements in each direction: [16,16,16]
+Solver-type used: GMRES-Solver
+---------- OUTPUT ----------
+ --------------------
+Corrector-Matrix M_1:
+0.000283509 -0.00241778 0
+-0.00241778 -0.00366167 0
+0 0 0
+
+ --------------------
+Corrector-Matrix M_2:
+-0.000657069 -0.00239924 0
+-0.00239924 -0.00593184 0
+0 0 0
+
+ --------------------
+Corrector-Matrix M_3:
+-0.00115851 -0.00809113 0
+-0.00809113 -0.00118349 0
+0 0 0
+
+ --------------------
+--- Effective moduli ---
+Qeff_:
+0.40002 0.192069 0.00294787
+0.192069 0.391866 0.00292622
+0.00294787 0.00292622 0.202189
+
+------------------------
+--- Prestrain Output ---
+Bhat_: 0.0241844 0.0882687 0.0413537
+Beff_: -0.0633741 0.254808 0.201766 (Effective Prestrain)
+------------------------
+size of FiniteElementBasis: 13056
+q1=0.40002
+q2=0.391866
+q3=0.202189
+q12=0.192069
+q23=0.00292622
+q_onetwo=0.192069
+b1=-0.063374
+b2=0.254808
+b3=0.201766
+mu_gamma=0.202189
+---------------------------------------------------------------------------------------------------------------------------------------
+ Levels | q1 | q2 | q3 | q12 | q23 | b1 | b2 | b3 |
+---------------------------------------------------------------------------------------------------------------------------------------
+ 4 & 4.00020e-01 & 3.91866e-01 & 2.02189e-01 & 1.92069e-01 & 2.92622e-03 & -6.33741e-02 & 2.54808e-01 & 2.01766e-01 &
+---------------------------------------------------------------------------------------------------------------------------------------
diff --git a/experiment/theoretical_2/results_test3/RVE.jpeg b/experiment/theoretical_2/results_test3/RVE.jpeg
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diff --git a/experiment/theoretical_2/results_test3/kappa_simulation.txt b/experiment/theoretical_2/results_test3/kappa_simulation.txt
new file mode 100644
index 00000000..160cb0ac
--- /dev/null
+++ b/experiment/theoretical_2/results_test3/kappa_simulation.txt
@@ -0,0 +1 @@
+kappa = [0.25150301]
\ No newline at end of file
diff --git a/experiment/theoretical_2/results_test3/parameter.txt b/experiment/theoretical_2/results_test3/parameter.txt
new file mode 100644
index 00000000..7e4e0bb0
--- /dev/null
+++ b/experiment/theoretical_2/results_test3/parameter.txt
@@ -0,0 +1,2 @@
+param_r = 0.25
+param_delta_theta = 30
diff --git a/experiment/theoretical_2/rve.jpeg b/experiment/theoretical_2/rve.jpeg
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diff --git a/experiment/theoretical_2/test1.py b/experiment/theoretical_2/test1.py
new file mode 100644
index 00000000..fa468659
--- /dev/null
+++ b/experiment/theoretical_2/test1.py
@@ -0,0 +1,144 @@
+import subprocess
+import re
+import os
+import numpy as np
+import matplotlib.pyplot as plt
+import math
+import fileinput
+import time
+import matplotlib.ticker as tickers
+import matplotlib as mpl
+from matplotlib.ticker import MultipleLocator,FormatStrFormatter,MaxNLocator
+import codecs
+import sys
+import threading
+
+# Schreibe input datei für Parameter
+def SetParametersCellProblem(ParameterSet, ParsetFilePath, outputPath):
+ print('----set Parameters -----')
+ with open(ParsetFilePath, 'r') as file:
+ filedata = file.read()
+ filedata = re.sub('(?m)^materialFunction\s?=.*','materialFunction = '+str(ParameterSet.materialFunction),filedata)
+ filedata = re.sub('(?m)^gamma\s?=.*','gamma='+str(ParameterSet.gamma),filedata)
+ filedata = re.sub('(?m)^numLevels\s?=.*','numLevels='+str(ParameterSet.numLevels)+' '+str(ParameterSet.numLevels) ,filedata)
+ filedata = re.sub('(?m)^outputPath\s?=\s?.*','outputPath='+str(outputPath),filedata)
+ f = open(ParsetFilePath,'w')
+ f.write(filedata)
+ f.close()
+
+
+# Ändere Parameter der MaterialFunction
+def SetParameterMaterialFunction(materialFunction, parameterName, parameterValue):
+ with open(Path+"/"+materialFunction+'.py', 'r') as file:
+ filedata = file.read()
+ filedata = re.sub('(?m)^'+str(parameterName)+'\s?=.*',str(parameterName)+' = '+str(parameterValue),filedata)
+ f = open(Path+"/"+materialFunction+'.py','w')
+ f.write(filedata)
+ f.close()
+
+# Rufe Programm zum Lösen des Cell-Problems auf
+def run_CellProblem(executable, parset,write_LOG):
+ print('----- RUN Cell-Problem ----')
+ processList = []
+ LOGFILE = "Cell-Problem_output.log"
+ print('LOGFILE:',LOGFILE)
+ print('executable:',executable)
+ if write_LOG:
+ p = subprocess.Popen(executable + parset
+ + " | tee " + LOGFILE, shell=True)
+
+ else:
+ p = subprocess.Popen(executable + parset
+ + " | tee " + LOGFILE, shell=True)
+
+ p.wait() # wait
+ processList.append(p)
+ exit_codes = [p.wait() for p in processList]
+
+ return
+
+# Read effective quantites
+def ReadEffectiveQuantities(QFilePath = os.path.dirname(os.getcwd()) + '/outputs/QMatrix.txt', BFilePath = os.path.dirname(os.getcwd())+ '/outputs/BMatrix.txt'):
+ # Read Output Matrices (effective quantities)
+ # From Cell-Problem output Files : ../outputs/Qmatrix.txt , ../outputs/Bmatrix.txt
+ # -- Read Matrix Qhom
+ X = []
+ # with codecs.open(path + '/outputs/QMatrix.txt', encoding='utf-8-sig') as f:
+ with codecs.open(QFilePath, encoding='utf-8-sig') as f:
+ for line in f:
+ s = line.split()
+ X.append([float(s[i]) for i in range(len(s))])
+ Q = np.array([[X[0][2], X[1][2], X[2][2]],
+ [X[3][2], X[4][2], X[5][2]],
+ [X[6][2], X[7][2], X[8][2]] ])
+
+ # -- Read Beff (as Vector)
+ X = []
+ # with codecs.open(path + '/outputs/BMatrix.txt', encoding='utf-8-sig') as f:
+ with codecs.open(BFilePath, encoding='utf-8-sig') as f:
+ for line in f:
+ s = line.split()
+ X.append([float(s[i]) for i in range(len(s))])
+ B = np.array([X[0][2], X[1][2], X[2][2]])
+ return Q, B
+
+# Function for evaluating the energy in terms of kappa, alpha and Q, B
+def eval_energy(kappa,alpha,Q,B) :
+ G=kappa*np.array([[np.cos(alpha)**2],[np.sin(alpha)**2],[np.sqrt(2)*np.cos(alpha)*np.sin(alpha)]])-B
+ return np.matmul(np.transpose(G),np.matmul(Q,G))[0,0]
+
+#-------------------------------------------------------------------------------------------------------
+########################
+#### SET PARAMETERS ####
+########################
+# ----- Setup Paths -----
+Path = "./experiment/theoretical_2"
+# parset = ' ./experiment/wood-bilayer/cellsolver.parset.wood'
+ParsetFile = Path + '/cellsolver.parset'
+executable = 'build-cmake/src/Cell-Problem'
+write_LOG = True # writes Cell-Problem output-LOG in "Cell-Problem_output.log"
+
+# ---------------------------------
+# Setup Experiment
+# ---------------------------------
+outputPath = Path + '/results_test1/'
+
+# ----- Define Input parameters --------------------
+class ParameterSet:
+ pass
+
+ParameterSet.materialFunction = "theoretical_material1"
+ParameterSet.gamma=1
+ParameterSet.numLevels=3
+
+# ----- Define Parameters for Material Function --------------------
+# Liste mit Drehwinkel eigenstrain
+materialFunctionParameter=[[1/8, 30],[1/4, 30], [3/8,30], [1/2, 30]]
+
+# ------ Loops through Parameters for Material Function -----------
+for i in range(0,np.shape(materialFunctionParameter)[0]):
+ print("------------------")
+ print("New Loop")
+ print("------------------")
+ # Check output directory
+ path = outputPath + str(i)
+ isExist = os.path.exists(path)
+ if not isExist:
+ # Create a new directory because it does not exist
+ os.makedirs(path)
+ print("The new directory " + path + " is created!")
+ # keine Parameter daher naechste Zeiel auskommentiert
+ SetParameterMaterialFunction(ParameterSet.materialFunction, "param_r",materialFunctionParameter[i][0])
+ SetParameterMaterialFunction(ParameterSet.materialFunction, "param_delta_theta",materialFunctionParameter[i][0])
+ SetParametersCellProblem(ParameterSet, ParsetFile, path)
+ #Run Cell-Problem
+ thread = threading.Thread(target=run_CellProblem(executable, " ./"+ParsetFile, write_LOG))
+ thread.start()
+ # ---------------------------------------------------
+ # wait here for the result to be available before continuing
+ thread.join()
+ f = open(outputPath+"parameter.txt", "w")
+ f.write("param_r = "+str(materialFunctionParameter[i][0])+"\n")
+ f.write("param_delta_theta = "+str(materialFunctionParameter[i][1])+"\n")
+ f.close()
+ #
diff --git a/experiment/theoretical_2/test2.py b/experiment/theoretical_2/test2.py
new file mode 100644
index 00000000..78ff0bcb
--- /dev/null
+++ b/experiment/theoretical_2/test2.py
@@ -0,0 +1,142 @@
+import subprocess
+import re
+import os
+import numpy as np
+import matplotlib.pyplot as plt
+import math
+import fileinput
+import time
+import matplotlib.ticker as tickers
+import matplotlib as mpl
+from matplotlib.ticker import MultipleLocator,FormatStrFormatter,MaxNLocator
+import codecs
+import sys
+import threading
+
+# Schreibe input datei für Parameter
+def SetParametersCellProblem(ParameterSet, ParsetFilePath, outputPath):
+ print('----set Parameters -----')
+ with open(ParsetFilePath, 'r') as file:
+ filedata = file.read()
+ filedata = re.sub('(?m)^materialFunction\s?=.*','materialFunction = '+str(ParameterSet.materialFunction),filedata)
+ filedata = re.sub('(?m)^gamma\s?=.*','gamma='+str(ParameterSet.gamma),filedata)
+ filedata = re.sub('(?m)^numLevels\s?=.*','numLevels='+str(ParameterSet.numLevels)+' '+str(ParameterSet.numLevels) ,filedata)
+ filedata = re.sub('(?m)^outputPath\s?=\s?.*','outputPath='+str(outputPath),filedata)
+ f = open(ParsetFilePath,'w')
+ f.write(filedata)
+ f.close()
+
+
+# Ändere Parameter der MaterialFunction
+def SetParameterMaterialFunction(materialFunction, parameterName, parameterValue):
+ with open(Path+"/"+materialFunction+'.py', 'r') as file:
+ filedata = file.read()
+ filedata = re.sub('(?m)^'+str(parameterName)+'\s?=.*',str(parameterName)+' = '+str(parameterValue),filedata)
+ f = open(Path+"/"+materialFunction+'.py','w')
+ f.write(filedata)
+ f.close()
+
+# Rufe Programm zum Lösen des Cell-Problems auf
+def run_CellProblem(executable, parset,write_LOG):
+ print('----- RUN Cell-Problem ----')
+ processList = []
+ LOGFILE = "Cell-Problem_output.log"
+ print('LOGFILE:',LOGFILE)
+ print('executable:',executable)
+ if write_LOG:
+ p = subprocess.Popen(executable + parset
+ + " | tee " + LOGFILE, shell=True)
+
+ else:
+ p = subprocess.Popen(executable + parset
+ + " | tee " + LOGFILE, shell=True)
+
+ p.wait() # wait
+ processList.append(p)
+ exit_codes = [p.wait() for p in processList]
+
+ return
+
+# Read effective quantites
+def ReadEffectiveQuantities(QFilePath = os.path.dirname(os.getcwd()) + '/outputs/QMatrix.txt', BFilePath = os.path.dirname(os.getcwd())+ '/outputs/BMatrix.txt'):
+ # Read Output Matrices (effective quantities)
+ # From Cell-Problem output Files : ../outputs/Qmatrix.txt , ../outputs/Bmatrix.txt
+ # -- Read Matrix Qhom
+ X = []
+ # with codecs.open(path + '/outputs/QMatrix.txt', encoding='utf-8-sig') as f:
+ with codecs.open(QFilePath, encoding='utf-8-sig') as f:
+ for line in f:
+ s = line.split()
+ X.append([float(s[i]) for i in range(len(s))])
+ Q = np.array([[X[0][2], X[1][2], X[2][2]],
+ [X[3][2], X[4][2], X[5][2]],
+ [X[6][2], X[7][2], X[8][2]] ])
+
+ # -- Read Beff (as Vector)
+ X = []
+ # with codecs.open(path + '/outputs/BMatrix.txt', encoding='utf-8-sig') as f:
+ with codecs.open(BFilePath, encoding='utf-8-sig') as f:
+ for line in f:
+ s = line.split()
+ X.append([float(s[i]) for i in range(len(s))])
+ B = np.array([X[0][2], X[1][2], X[2][2]])
+ return Q, B
+
+# Function for evaluating the energy in terms of kappa, alpha and Q, B
+def eval_energy(kappa,alpha,Q,B) :
+ G=kappa*np.array([[np.cos(alpha)**2],[np.sin(alpha)**2],[np.sqrt(2)*np.cos(alpha)*np.sin(alpha)]])-B
+ return np.matmul(np.transpose(G),np.matmul(Q,G))[0,0]
+
+#-------------------------------------------------------------------------------------------------------
+########################
+#### SET PARAMETERS ####
+########################
+# ----- Setup Paths -----
+Path = "./experiment/theoretical_2"
+# parset = ' ./experiment/wood-bilayer/cellsolver.parset.wood'
+ParsetFile = Path + '/cellsolver.parset'
+executable = 'build-cmake/src/Cell-Problem'
+write_LOG = True # writes Cell-Problem output-LOG in "Cell-Problem_output.log"
+
+# ---------------------------------
+# Setup Experiment
+# ---------------------------------
+outputPath = Path + '/results_test2/'
+
+# ----- Define Input parameters --------------------
+class ParameterSet:
+ pass
+
+ParameterSet.materialFunction = "theoretical_material2"
+ParameterSet.gamma=1
+ParameterSet.numLevels=4
+
+# ----- Define Parameters for Material Function --------------------
+# Liste mit periods n
+materialFunctionParameter=[[1,30],[2,30],[4,30]]
+# ------ Loops through Parameters for Material Function -----------
+for i in range(0,np.shape(materialFunctionParameter)[0]):
+ print("------------------")
+ print("New Loop")
+ print("------------------")
+ # Check output directory
+ path = outputPath + str(i)
+ isExist = os.path.exists(path)
+ if not isExist:
+ # Create a new directory because it does not exist
+ os.makedirs(path)
+ print("The new directory " + path + " is created!")
+ # keine Parameter daher naechste Zeiel auskommentiert
+ SetParameterMaterialFunction(ParameterSet.materialFunction, "param_n",materialFunctionParameter[i][0])
+ SetParametersCellProblem(ParameterSet, ParsetFile, path)
+ #Run Cell-Problem
+ thread = threading.Thread(target=run_CellProblem(executable, " ./"+ParsetFile, write_LOG))
+ thread.start()
+ # ---------------------------------------------------
+ # wait here for the result to be available before continuing
+ thread.join()
+ f = open(outputPath+"parameter.txt", "w")
+ f.write("param_n = "+str(materialFunctionParameter[i][0])+"\n")
+ f.close()
+ #
+
diff --git a/experiment/theoretical_2/test3.py b/experiment/theoretical_2/test3.py
new file mode 100644
index 00000000..e01d9250
--- /dev/null
+++ b/experiment/theoretical_2/test3.py
@@ -0,0 +1,144 @@
+import subprocess
+import re
+import os
+import numpy as np
+import matplotlib.pyplot as plt
+import math
+import fileinput
+import time
+import matplotlib.ticker as tickers
+import matplotlib as mpl
+from matplotlib.ticker import MultipleLocator,FormatStrFormatter,MaxNLocator
+import codecs
+import sys
+import threading
+
+# Schreibe input datei für Parameter
+def SetParametersCellProblem(ParameterSet, ParsetFilePath, outputPath):
+ print('----set Parameters -----')
+ with open(ParsetFilePath, 'r') as file:
+ filedata = file.read()
+ filedata = re.sub('(?m)^materialFunction\s?=.*','materialFunction = '+str(ParameterSet.materialFunction),filedata)
+ filedata = re.sub('(?m)^gamma\s?=.*','gamma='+str(ParameterSet.gamma),filedata)
+ filedata = re.sub('(?m)^numLevels\s?=.*','numLevels='+str(ParameterSet.numLevels)+' '+str(ParameterSet.numLevels) ,filedata)
+ filedata = re.sub('(?m)^outputPath\s?=\s?.*','outputPath='+str(outputPath),filedata)
+ f = open(ParsetFilePath,'w')
+ f.write(filedata)
+ f.close()
+
+
+# Ändere Parameter der MaterialFunction
+def SetParameterMaterialFunction(materialFunction, parameterName, parameterValue):
+ with open(Path+"/"+materialFunction+'.py', 'r') as file:
+ filedata = file.read()
+ filedata = re.sub('(?m)^'+str(parameterName)+'\s?=.*',str(parameterName)+' = '+str(parameterValue),filedata)
+ f = open(Path+"/"+materialFunction+'.py','w')
+ f.write(filedata)
+ f.close()
+
+# Rufe Programm zum Lösen des Cell-Problems auf
+def run_CellProblem(executable, parset,write_LOG):
+ print('----- RUN Cell-Problem ----')
+ processList = []
+ LOGFILE = "Cell-Problem_output.log"
+ print('LOGFILE:',LOGFILE)
+ print('executable:',executable)
+ if write_LOG:
+ p = subprocess.Popen(executable + parset
+ + " | tee " + LOGFILE, shell=True)
+
+ else:
+ p = subprocess.Popen(executable + parset
+ + " | tee " + LOGFILE, shell=True)
+
+ p.wait() # wait
+ processList.append(p)
+ exit_codes = [p.wait() for p in processList]
+
+ return
+
+# Read effective quantites
+def ReadEffectiveQuantities(QFilePath = os.path.dirname(os.getcwd()) + '/outputs/QMatrix.txt', BFilePath = os.path.dirname(os.getcwd())+ '/outputs/BMatrix.txt'):
+ # Read Output Matrices (effective quantities)
+ # From Cell-Problem output Files : ../outputs/Qmatrix.txt , ../outputs/Bmatrix.txt
+ # -- Read Matrix Qhom
+ X = []
+ # with codecs.open(path + '/outputs/QMatrix.txt', encoding='utf-8-sig') as f:
+ with codecs.open(QFilePath, encoding='utf-8-sig') as f:
+ for line in f:
+ s = line.split()
+ X.append([float(s[i]) for i in range(len(s))])
+ Q = np.array([[X[0][2], X[1][2], X[2][2]],
+ [X[3][2], X[4][2], X[5][2]],
+ [X[6][2], X[7][2], X[8][2]] ])
+
+ # -- Read Beff (as Vector)
+ X = []
+ # with codecs.open(path + '/outputs/BMatrix.txt', encoding='utf-8-sig') as f:
+ with codecs.open(BFilePath, encoding='utf-8-sig') as f:
+ for line in f:
+ s = line.split()
+ X.append([float(s[i]) for i in range(len(s))])
+ B = np.array([X[0][2], X[1][2], X[2][2]])
+ return Q, B
+
+# Function for evaluating the energy in terms of kappa, alpha and Q, B
+def eval_energy(kappa,alpha,Q,B) :
+ G=kappa*np.array([[np.cos(alpha)**2],[np.sin(alpha)**2],[np.sqrt(2)*np.cos(alpha)*np.sin(alpha)]])-B
+ return np.matmul(np.transpose(G),np.matmul(Q,G))[0,0]
+
+#-------------------------------------------------------------------------------------------------------
+########################
+#### SET PARAMETERS ####
+########################
+# ----- Setup Paths -----
+Path = "./experiment/theoretical_2"
+# parset = ' ./experiment/wood-bilayer/cellsolver.parset.wood'
+ParsetFile = Path + '/cellsolver.parset'
+executable = 'build-cmake/src/Cell-Problem'
+write_LOG = True # writes Cell-Problem output-LOG in "Cell-Problem_output.log"
+
+# ---------------------------------
+# Setup Experiment
+# ---------------------------------
+outputPath = Path + '/results_test3/'
+
+# ----- Define Input parameters --------------------
+class ParameterSet:
+ pass
+
+ParameterSet.materialFunction = "theoretical_material3"
+ParameterSet.gamma=1
+ParameterSet.numLevels=4
+
+# ----- Define Parameters for Material Function --------------------
+# Liste mit Drehwinkel eigenstrain
+materialFunctionParameter=[[1/4, 30]]
+
+# ------ Loops through Parameters for Material Function -----------
+for i in range(0,np.shape(materialFunctionParameter)[0]):
+ print("------------------")
+ print("New Loop")
+ print("------------------")
+ # Check output directory
+ path = outputPath + str(i)
+ isExist = os.path.exists(path)
+ if not isExist:
+ # Create a new directory because it does not exist
+ os.makedirs(path)
+ print("The new directory " + path + " is created!")
+ # keine Parameter daher naechste Zeiel auskommentiert
+ SetParameterMaterialFunction(ParameterSet.materialFunction, "param_r",materialFunctionParameter[i][0])
+ SetParameterMaterialFunction(ParameterSet.materialFunction, "param_delta_theta",materialFunctionParameter[i][0])
+ SetParametersCellProblem(ParameterSet, ParsetFile, path)
+ #Run Cell-Problem
+ thread = threading.Thread(target=run_CellProblem(executable, " ./"+ParsetFile, write_LOG))
+ thread.start()
+ # ---------------------------------------------------
+ # wait here for the result to be available before continuing
+ thread.join()
+ f = open(outputPath+"parameter.txt", "w")
+ f.write("param_r = "+str(materialFunctionParameter[i][0])+"\n")
+ f.write("param_delta_theta = "+str(materialFunctionParameter[i][1])+"\n")
+ f.close()
+ #
diff --git a/experiment/theoretical_2/theoretical_material1.py b/experiment/theoretical_2/theoretical_material1.py
new file mode 100644
index 00000000..efbb1e4b
--- /dev/null
+++ b/experiment/theoretical_2/theoretical_material1.py
@@ -0,0 +1,63 @@
+import math
+#from python_matrix_operations import *
+import ctypes
+import os
+import sys
+import numpy as np
+import elasticity_toolbox as elast
+
+param_delta_theta = 0.5
+param_r = 0.5
+# --- define geometry
+def indicatorFunction(x):
+ if (x[2]>=.5-param_r) and (x[0]<=param_r-.5): #top left square - fibre orientation = y_1
+ return 1 # fibre1
+ elif (x[2]<=param_r-.5) and (x[1]<=param_r-.5): #bottom back - fibre orientation = y_2
+ return 2
+ else :
+ return 3 # matrix
+
+# --- Number of material phases
+Phases=3
+# Polyurethane rubber
+E_natural = 6 # Young
+nu_natural =0.47
+thermal_expansion_natural=100*10**(-6)
+# Silicon rubber MPa
+E_silicone = 3 # Young
+nu_silicone = 0.48
+thermal_expansion_silicone=6.7*10**(-6)
+
+# --- PHASE 1 fibre
+phase1_type="isotropic"
+# E in MPa and nu
+E = E_natural
+nu = nu_natural
+# [mu, lambda]
+materialParameters_phase1 = [E/(2*(1+nu)), (E*nu)/((1+nu)*(1-2*nu))]
+def prestrain_phase1(x):
+ factor = 1
+ return [[factor,0,0],[0,factor,0],[0,0,factor]]
+
+
+# --- PHASE 2 fibre
+phase2_type="isotropic"
+# E in MPa and nu
+E = E_natural
+nu = nu_natural
+# [mu, lambda]
+materialParameters_phase2 = materialParameters_phase1
+def prestrain_phase2(x):
+ return prestrain_phase1(x)
+
+
+# --- PHASE 3 matrix
+phase3_type="isotropic"
+# E in MPa and nu
+E = E_silicone
+nu = nu_silicone
+# [mu, lambda]
+materialParameters_phase3 = [E/(2*(1+nu)), (E*nu)/((1+nu)*(1-2*nu))]
+def prestrain_phase3(x):
+ factor = 0
+ return [[factor,0,0],[0,factor,0],[0,0,factor]]
\ No newline at end of file
diff --git a/experiment/theoretical_2/theoretical_material2.py b/experiment/theoretical_2/theoretical_material2.py
new file mode 100644
index 00000000..afb6f0fb
--- /dev/null
+++ b/experiment/theoretical_2/theoretical_material2.py
@@ -0,0 +1,83 @@
+import math
+#from python_matrix_operations import *
+import ctypes
+import os
+import sys
+import numpy as np
+import elasticity_toolbox as elast
+
+param_n = 4
+
+# --- define geometry
+def indicatorFunction(x):
+ if param_n==1:
+ if (x[2]>=0) and (x[0]<=0): #top left square - fibre orientation = y_1
+ return 1 # fibre1
+ elif (x[2]<=0) and (x[1]<=0): #bottom back - fibre orientation = y_2
+ return 2
+ else :
+ return 3 # matrix
+ elif param_n==2:
+ if ((x[2]>=0) and ((np.abs(x[0]+3/8)<=1/8) or (np.abs(x[0]-1/8)<=1/8))):
+ return 1 # fibre1
+ elif (x[2]<=0) and (x[1]<=0): #bottom left square - fibre orientation = y_2
+ return 2
+ else :
+ return 3 # matrix
+ else:
+ if ((x[2]>=0) and (
+ (np.abs(x[0]+7/16)<=1/16) or
+ (np.abs(x[0]+3/16)<=1/16) or
+ (np.abs(x[0]-1/16)<=1/16) or
+ (np.abs(x[0]-5/16)<=1/16))): #bottom left square - fibre orientation = y_1
+ return 1 # fibre1
+ elif (x[2]<=0) and (x[1]<=0): #bottom left square - fibre orientation = y_2
+ return 2
+ else :
+ return 3 # matrix
+
+
+# --- Number of material phases
+Phases=3
+# Polyurethane rubber
+E_natural = 6 # Young
+nu_natural =0.47
+thermal_expansion_natural=100*10**(-6)
+# Silicon rubber MPa
+E_silicone = 3 # Young
+nu_silicone = 0.48
+thermal_expansion_silicone=6.7*10**(-6)
+
+# --- PHASE 1 fibre
+phase1_type="isotropic"
+# E in MPa and nu
+E = E_natural
+nu = nu_natural
+# [mu, lambda]
+materialParameters_phase1 = [E/(2*(1+nu)), (E*nu)/((1+nu)*(1-2*nu))]
+def prestrain_phase1(x):
+ factor = 1
+ return [[factor,0,0],[0,factor,0],[0,0,factor]]
+
+
+# --- PHASE 2 fibre
+phase2_type="isotropic"
+# E in MPa and nu
+E = E_natural
+nu = nu_natural
+# [mu, lambda]
+materialParameters_phase2 = materialParameters_phase1
+def prestrain_phase2(x):
+ return prestrain_phase1(x)
+
+
+# --- PHASE 3 matrix
+phase3_type="isotropic"
+# E in MPa and nu
+E = E_silicone
+nu = nu_silicone
+# [mu, lambda]
+materialParameters_phase3 = [E/(2*(1+nu)), (E*nu)/((1+nu)*(1-2*nu))]
+def prestrain_phase3(x):
+ factor = 0
+ return [[factor,0,0],[0,factor,0],[0,0,factor]]
\ No newline at end of file
diff --git a/experiment/theoretical_2/theoretical_material3.py b/experiment/theoretical_2/theoretical_material3.py
new file mode 100644
index 00000000..bace579c
--- /dev/null
+++ b/experiment/theoretical_2/theoretical_material3.py
@@ -0,0 +1,67 @@
+import math
+#from python_matrix_operations import *
+import ctypes
+import os
+import sys
+import numpy as np
+import elasticity_toolbox as elast
+
+param_delta_theta = 0.25
+param_r = 0.25
+
+# --- define geometry
+def indicatorFunction(x):
+ alpha=np.pi/4
+ delta=param_r/np.sin(alpha)
+ if (x[2]>=.5-param_r) and (x[1]<=x[0]+delta/2) and (x[0]-delta/2<=x[1]): #top left square - fibre orientation = y_1
+ return 1 # fibre1
+ elif (x[2]<=param_r-.5) and (x[1]<=param_r-.5): #bottom back - fibre orientation = y_2
+ return 2
+ else :
+ return 3 # matrix
+
+
+# --- Number of material phases
+Phases=3
+# Polyurethane rubber
+E_natural = 6 # Young
+nu_natural =0.47
+thermal_expansion_natural=100*10**(-6)
+# Silicon rubber MPa
+E_silicone = 3 # Young
+nu_silicone = 0.48
+thermal_expansion_silicone=6.7*10**(-6)
+
+# --- PHASE 1 fibre
+phase1_type="isotropic"
+# E in MPa and nu
+E = E_natural
+nu = nu_natural
+# [mu, lambda]
+materialParameters_phase1 = [E/(2*(1+nu)), (E*nu)/((1+nu)*(1-2*nu))]
+def prestrain_phase1(x):
+ factor = 1
+ return [[factor,0,0],[0,factor,0],[0,0,factor]]
+
+
+# --- PHASE 2 fibre
+phase2_type="isotropic"
+# E in MPa and nu
+E = E_natural
+nu = nu_natural
+# [mu, lambda]
+materialParameters_phase2 = materialParameters_phase1
+def prestrain_phase2(x):
+ return prestrain_phase1(x)
+
+
+# --- PHASE 3 matrix
+phase3_type="isotropic"
+# E in MPa and nu
+E = E_silicone
+nu = nu_silicone
+# [mu, lambda]
+materialParameters_phase3 = [E/(2*(1+nu)), (E*nu)/((1+nu)*(1-2*nu))]
+def prestrain_phase3(x):
+ factor = 0
+ return [[factor,0,0],[0,factor,0],[0,0,factor]]
\ No newline at end of file
diff --git a/experiment/wood-bilayer-variant/#readme.txt# b/experiment/wood-bilayer-variant/#readme.txt#
new file mode 100644
index 00000000..81861ace
--- /dev/null
+++ b/experiment/wood-bilayer-variant/#readme.txt#
@@ -0,0 +1,12 @@
+Zum Starten im Verzeichnis dune-microstructure:
+python ./experimenta/wood_text.py
+(sonst kommt das script mit den Verzeichnissen durcheinander)
+
+Definition des Komposits:
+wood_europea_beech.py
+
+Zum Plotten:
+PolarPlotLocalEnergy.py
+
+Toolbox
+elasticity_toolboy.py
\ No newline at end of file
diff --git a/experiment/wood-bilayer-variant/.gitignore b/experiment/wood-bilayer-variant/.gitignore
new file mode 100644
index 00000000..e69de29b
diff --git a/experiment/wood-bilayer-variant/PolarPlotLocalEnergy.py b/experiment/wood-bilayer-variant/PolarPlotLocalEnergy.py
new file mode 100644
index 00000000..498569b1
--- /dev/null
+++ b/experiment/wood-bilayer-variant/PolarPlotLocalEnergy.py
@@ -0,0 +1,101 @@
+#!/usr/bin/env python3
+# -*- coding: utf-8 -*-
+"""
+Created on Wed Jul 6 13:17:28 2022
+
+@author: stefan
+"""
+import numpy as np
+import matplotlib.pyplot as plt
+import matplotlib.colors as colors
+import codecs
+
+experiment_name="results_inclusion"
+number_of_variants=4
+Path = './experiment/wood-bilayer-variant/'+experiment_name # command line
+Path = './'+experiment_name # interactive
+
+
+
+def energy(kappa,alpha,Q,B) :
+ G=kappa*np.array([[np.cos(alpha)**2],[np.sin(alpha)**2],[np.sqrt(2)*np.cos(alpha)*np.sin(alpha)]])-B
+ return np.matmul(np.transpose(G),np.matmul(Q,G))[0,0]
+
+def xytokappaalpha(x,y):
+
+ if y>0:
+ return [np.sqrt(x**2+y**2), np.abs(np.arctan2(y,x))]
+ else:
+ return [-np.sqrt(x**2+y**2), np.abs(np.arctan2(y,x))]
+
+# Read effective quantites
+def ReadEffectiveQuantities(QFilePath, BFilePath):
+ # Read Output Matrices (effective quantities)
+ # From Cell-Problem output Files : ../outputs/Qmatrix.txt , ../outputs/Bmatrix.txt
+ # -- Read Matrix Qhom
+ X = []
+ # with codecs.open(path + '/outputs/QMatrix.txt', encoding='utf-8-sig') as f:
+ with codecs.open(QFilePath, encoding='utf-8-sig') as f:
+ for line in f:
+ s = line.split()
+ X.append([float(s[i]) for i in range(len(s))])
+ Q = np.array([[X[0][2], X[1][2], X[2][2]],
+ [X[3][2], X[4][2], X[5][2]],
+ [X[6][2], X[7][2], X[8][2]] ])
+
+ # -- Read Beff (as Vector)
+ X = []
+ # with codecs.open(path + '/outputs/BMatrix.txt', encoding='utf-8-sig') as f:
+ with codecs.open(BFilePath, encoding='utf-8-sig') as f:
+ for line in f:
+ s = line.split()
+ X.append([float(s[i]) for i in range(len(s))])
+ B = np.array([X[0][2], X[1][2], X[2][2]])
+ return Q, B
+
+number=number_of_variants
+kappa=np.zeros(number) # Vector of minimal curvatures
+alpha=np.zeros(number) # Vector of minimal angles
+for n in range(0,number):
+ # Read from Date
+ print(str(n))
+ DataPath = Path+'/'+str(n) #
+ QFilePath = DataPath + '/QMatrix.txt'
+ BFilePath = DataPath + '/BMatrix.txt'
+ Q, B = ReadEffectiveQuantities(QFilePath,BFilePath)
+ # Q=0.5*(np.transpose(Q)+Q) # symmetrize
+ B=np.transpose([B])
+ #
+
+ N=200
+ length=4.5
+ r, theta = np.meshgrid(np.linspace(0,length,N),np.radians(np.linspace(0, 360, N)))
+ E=np.zeros(np.shape(r))
+ for i in range(0,N):
+ for j in range(0,N):
+ if theta[i,j]<np.pi:
+ E[i,j]=energy(r[i,j],theta[i,j],Q,B)
+ else:
+ E[i,j]=energy(-r[i,j],theta[i,j],Q,B)
+
+ # Compute Minimizer
+ [imin,jmin]=np.unravel_index(E.argmin(),(N,N))
+ kappamin=r[imin,jmin]
+ alphamin=theta[imin,jmin]
+ kappa[n]=kappamin
+ alpha[n]=alphamin
+ fig, ax = plt.subplots(figsize=(6,6),subplot_kw=dict(projection='polar'))
+ levs=np.geomspace(E.min(),E.max(),400)
+ pcm=ax.contourf(theta, r, E, levs, norm=colors.PowerNorm(gamma=0.2), cmap='brg')
+ ax.set_xticks([0,np.pi/2])
+ ax.set_yticks([kappamin])
+ colorbarticks=np.linspace(E.min(),E.max(),6)
+ plt.colorbar(pcm, extend='max', ticks=colorbarticks, pad=0.1)
+ plt.show()
+
+f = open(Path+"/kappa_simulation.txt", "w")
+f.write(str(kappa)+'\n')
+f.write(str(alpha))
+f.close()
+
+
diff --git a/experiment/wood-bilayer-variant/__pycache__/elasticity_toolbox.cpython-310.pyc b/experiment/wood-bilayer-variant/__pycache__/elasticity_toolbox.cpython-310.pyc
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diff --git a/experiment/wood-bilayer-variant/__pycache__/wood_european_beech.cpython-310.pyc b/experiment/wood-bilayer-variant/__pycache__/wood_european_beech.cpython-310.pyc
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diff --git a/experiment/wood-bilayer-variant/cellsolver.parset.wood b/experiment/wood-bilayer-variant/cellsolver.parset.wood
new file mode 100644
index 00000000..e151f80b
--- /dev/null
+++ b/experiment/wood-bilayer-variant/cellsolver.parset.wood
@@ -0,0 +1,96 @@
+# --- Parameter File as Input for 'Cell-Problem'
+# NOTE: define variables without whitespaces in between! i.e. : gamma=1.0 instead of gamma = 1.0
+# since otherwise these cant be read from other Files!
+# --------------------------------------------------------
+
+# Path for results and logfile
+outputPath=./experiment/wood-bilayer-variant/results_inclusion/3
+
+# Path for material description
+geometryFunctionPath =experiment/wood-bilayer-variant/
+
+
+# --- DEBUG (Output) Option:
+#print_debug = true #(default=false)
+
+
+
+
+#############################################
+# Grid parameters
+#############################################
+#----------------------------------------------------
+## numLevels : Number of Levels on which solution is computed. starting with a 2x2x2 cube mesh.
+## {start,finish} computes on all grid from 2^(start) to 2^finish refinement
+#----------------------------------------------------
+
+numLevels=4 4
+#numLevels = 1 1 # computes all levels from first to second entry
+#numLevels = 2 2 # computes all levels from first to second entry
+#numLevels = 1 3 # computes all levels from first to second entry
+#numLevels = 4 4 # computes all levels from first to second entry
+#numLevels = 5 5 # computes all levels from first to second entry
+#numLevels = 6 6 # computes all levels from first to second entry
+#numLevels = 1 6
+
+
+#############################################
+# Material / Prestrain parameters and ratios
+#############################################
+
+# --- Choose material definition:
+materialFunction = wood_inclusion
+
+
+
+# --- Choose scale ratio gamma:
+gamma=1.0
+
+
+#############################################
+# Assembly options
+#############################################
+#set_IntegralZero = true #(default = false)
+#set_oneBasisFunction_Zero = true #(default = false)
+
+#arbitraryLocalIndex = 7 #(default = 0)
+#arbitraryElementNumber = 3 #(default = 0)
+#############################################
+
+
+#############################################
+# Solver Type: #1: CG - SOLVER , #2: GMRES - SOLVER, #3: QR - SOLVER (default), #4: UMFPACK - SOLVER
+#############################################
+Solvertype = 2 # recommended to use iterative solver (e.g GMRES) for finer grid-levels
+Solver_verbosity = 0 #(default = 2) degree of information for solver output
+
+
+#############################################
+# Write/Output options #(default=false)
+#############################################
+
+# --- (Optional output) write Material / prestrain / Corrector functions to .vtk-Files:
+write_materialFunctions = true # VTK indicator function for material/prestrain definition
+#write_prestrainFunctions = true # VTK norm of B (currently not implemented)
+
+# --- Write Correctos to VTK-File:
+write_VTK = true
+
+# --- (Optional output) L2Error, integral mean:
+#write_L2Error = true
+#write_IntegralMean = true
+
+# --- check orthogonality (75) from paper:
+write_checkOrthogonality = true
+
+# --- Write corrector-coefficients to log-File:
+#write_corrector_phi1 = true
+#write_corrector_phi2 = true
+#write_corrector_phi3 = true
+
+
+# --- Print Condition number of matrix (can be expensive):
+#print_conditionNumber= true #(default=false)
+
+# --- write effective quantities to Matlab-folder for symbolic minimization:
+write_toMATLAB = true # writes effective quantities to .txt-files QMatrix.txt and BMatrix.txt
diff --git a/experiment/wood-bilayer-variant/elasticity_toolbox.py b/experiment/wood-bilayer-variant/elasticity_toolbox.py
new file mode 100644
index 00000000..8e619526
--- /dev/null
+++ b/experiment/wood-bilayer-variant/elasticity_toolbox.py
@@ -0,0 +1,123 @@
+import math
+import numpy as np
+
+
+def strain_to_voigt(strain_matrix):
+ # Ensure the input matrix is a 3x3 strain matrix
+ if strain_matrix.shape != (3, 3):
+ raise ValueError("Input matrix should be a 3x3 strain matrix.")
+
+ # Extract the components from the 3x3 strain matrix
+ ε_xx = strain_matrix[0, 0]
+ ε_yy = strain_matrix[1, 1]
+ ε_zz = strain_matrix[2, 2]
+ γ_yz = .5*(strain_matrix[1, 2]+strain_matrix[2,1])
+ γ_xz = .5*(strain_matrix[0, 2]+strain_matrix[0,2])
+ γ_xy = .5*(strain_matrix[0, 1]+strain_matrix[0,1])
+
+ # Create the Voigt notation vector
+ voigt_notation = np.array([ε_xx, ε_yy, ε_zz, γ_yz, γ_xz, γ_xy])
+
+ return voigt_notation
+
+def voigt_to_strain(voigt_notation):
+ # Ensure the input vector has 6 elements
+ if len(voigt_notation) != 6:
+ raise ValueError("Input vector should have 6 elements in Voigt notation.")
+
+ # Extract the components from the Voigt notation vector
+ ε_xx = voigt_notation[0]
+ ε_yy = voigt_notation[1]
+ ε_zz = voigt_notation[2]
+ γ_yz = voigt_notation[3]
+ γ_xz = voigt_notation[4]
+ γ_xy = voigt_notation[5]
+
+ # Create the 3x3 strain matrix
+ strain_matrix = np.array([[ε_xx, γ_xy, γ_xz],
+ [γ_xy, ε_yy, γ_yz],
+ [γ_xz, γ_yz, ε_zz]])
+
+ return strain_matrix
+
+
+def rotation_matrix(ax, angle):
+ cos_theta = np.cos(angle)
+ sin_theta = np.sin(angle)
+ if ax==0:
+ Q=np.array([[0, 0, 1],
+ [0,1,0],
+ [-1,0,0]
+ ])
+ elif ax==1:
+ Q=np.array([[1, 0, 0],
+ [0,0,1],
+ [0,-1,0]
+ ])
+ else:
+ Q=np.array([[1, 0, 0],
+ [0,1,0],
+ [0,0,1]
+ ])
+
+ R = np.array([[cos_theta, -sin_theta, 0],
+ [sin_theta, cos_theta, 0],
+ [0, 0, 1]])
+ return np.dot(np.dot(Q.T, R),Q)
+
+def rotation_matrix_compliance(ax,theta):
+ R=rotation_matrix(ax,theta)
+ Q_xx=R[0,0]
+ Q_xy=R[0,1]
+ Q_xz=R[0,2]
+ Q_yx=R[1,0]
+ Q_yy=R[1,1]
+ Q_yz=R[1,2]
+ Q_zx=R[2,0]
+ Q_zy=R[2,1]
+ Q_zz=R[2,2]
+ return np.array([
+ [Q_xx**2, Q_xy**2, Q_xz**2, Q_xy*Q_xz, Q_xx*Q_xz, Q_xx*Q_xy],
+ [Q_yx**2, Q_yy**2, Q_yz**2, Q_yy*Q_yz, Q_yx*Q_yz, Q_yx*Q_yy],
+ [Q_zx**2, Q_zy**2, Q_zz**2, Q_zy*Q_zz, Q_zx*Q_zz, Q_zx*Q_zy],
+ [2*Q_yx*Q_zx, 2*Q_yy*Q_zy, 2*Q_yz*Q_zz, Q_yy*Q_zz + Q_yz*Q_zy, Q_yx*Q_zz + Q_yz*Q_zx, Q_yx*Q_zy + Q_yy*Q_zx],
+ [2*Q_xx*Q_zx, 2*Q_xy*Q_zy, 2*Q_xz*Q_zz, Q_xy*Q_zz + Q_xz*Q_zy, Q_xx*Q_zz + Q_xz*Q_zx, Q_xx*Q_zy + Q_xy*Q_zx],
+ [2*Q_xx*Q_yx, 2*Q_xy*Q_yy, 2*Q_xz*Q_yz, Q_xy*Q_yz + Q_xz*Q_yy, Q_xx*Q_yz + Q_xz*Q_yx, Q_xx*Q_yy + Q_xy*Q_yx]
+ ])
+
+def rotate_strain(eps, ax, theta):
+ B=voigt_to_strain(np.matmul(rotation_matrix_epsilon(theta,ax),strain_to_voigt(eps)))
+
+import numpy as np
+
+def voigt_to_tensor(voigt_matrix):
+ tensor = np.zeros((6, 6))
+
+ tensor[0, 0] = voigt_matrix[0]
+ tensor[0, 1] = tensor[1, 0] = voigt_matrix[1]
+ tensor[0, 2] = tensor[2, 0] = voigt_matrix[2]
+ tensor[0, 3] = tensor[3, 0] = voigt_matrix[3]
+ tensor[0, 4] = tensor[4, 0] = voigt_matrix[4]
+ tensor[0, 5] = tensor[5, 0] = voigt_matrix[5]
+
+ tensor[1, 1] = voigt_matrix[6]
+ tensor[1, 2] = tensor[2, 1] = voigt_matrix[7]
+ tensor[1, 3] = tensor[3, 1] = voigt_matrix[8]
+ tensor[1, 4] = tensor[4, 1] = voigt_matrix[9]
+ tensor[1, 5] = tensor[5, 1] = voigt_matrix[10]
+
+ tensor[2, 2] = voigt_matrix[11]
+ tensor[2, 3] = tensor[3, 2] = voigt_matrix[12]
+ tensor[2, 4] = tensor[4, 2] = voigt_matrix[13]
+ tensor[2, 5] = tensor[5, 2] = voigt_matrix[14]
+
+ tensor[3, 3] = voigt_matrix[15]
+ tensor[3, 4] = tensor[4, 3] = voigt_matrix[16]
+ tensor[3, 5] = tensor[5, 3] = voigt_matrix[17]
+
+ tensor[4, 4] = voigt_matrix[18]
+ tensor[4, 5] = tensor[5, 4] = voigt_matrix[19]
+
+ tensor[5, 5] = voigt_matrix[20]
+
+ return tensor
diff --git a/experiment/wood-bilayer-variant/readme.txt b/experiment/wood-bilayer-variant/readme.txt
new file mode 100644
index 00000000..e69de29b
diff --git a/experiment/wood-bilayer-variant/results_inclusion/0/BMatrix.txt b/experiment/wood-bilayer-variant/results_inclusion/0/BMatrix.txt
new file mode 100644
index 00000000..7d53132a
--- /dev/null
+++ b/experiment/wood-bilayer-variant/results_inclusion/0/BMatrix.txt
@@ -0,0 +1,3 @@
+1 1 4.08947860259611939
+1 2 -1.57392985049986089
+1 3 5.72150968145277811e-32
diff --git a/experiment/wood-bilayer-variant/results_inclusion/0/QMatrix.txt b/experiment/wood-bilayer-variant/results_inclusion/0/QMatrix.txt
new file mode 100644
index 00000000..846d533e
--- /dev/null
+++ b/experiment/wood-bilayer-variant/results_inclusion/0/QMatrix.txt
@@ -0,0 +1,9 @@
+1 1 360.698584684530374
+1 2 23.4373781192738058
+1 3 -2.22175542652914777e-23
+2 1 23.4373838941500736
+2 2 482.150319094850431
+2 3 1.15805285757423874e-23
+3 1 -1.77511738646784161e-31
+3 2 -1.08078881137726988e-31
+3 3 94.9832606588698667
diff --git a/experiment/wood-bilayer/results/6/output.txt b/experiment/wood-bilayer-variant/results_inclusion/0/output.txt
similarity index 64%
rename from experiment/wood-bilayer/results/6/output.txt
rename to experiment/wood-bilayer-variant/results_inclusion/0/output.txt
index 96a2e7ea..eef6006e 100644
--- a/experiment/wood-bilayer/results/6/output.txt
+++ b/experiment/wood-bilayer-variant/results_inclusion/0/output.txt
@@ -3,47 +3,47 @@ Solver-type used: GMRES-Solver
---------- OUTPUT ----------
--------------------
Corrector-Matrix M_1:
--0.226924 7.72095e-26 0
-7.72095e-26 0.0137995 0
+-0.228176 3.15021e-25 0
+3.15021e-25 0.0150374 0
0 0 0
--------------------
Corrector-Matrix M_2:
--0.00344244 -2.16662e-27 0
--2.16662e-27 0.109641 0
+-0.00371663 1.93301e-26 0
+1.93301e-26 0.13835 0
0 0 0
--------------------
Corrector-Matrix M_3:
-0 0.0203866 0
-0.0203866 0 0
+0 0.0242453 0
+0.0242453 0 0
0 0 0
--------------------
--- Effective moduli ---
Qeff_:
-360.617 28.1605 -3.51552e-24
-28.1605 596.591 9.85508e-24
--1.17989e-31 -8.86266e-32 96.7991
+360.699 23.4374 -2.22176e-23
+23.4374 482.15 1.15805e-23
+-1.77512e-31 -1.08079e-31 94.9833
------------------------
--- Prestrain Output ---
-Bhat_: 1433.87 -523.63 5.07291e-30
-Beff_: 4.05965 -1.06933 5.63759e-32 (Effective Prestrain)
+Bhat_: 1438.18 -663.024 4.87865e-30
+Beff_: 4.08948 -1.57393 5.72151e-32 (Effective Prestrain)
------------------------
size of FiniteElementBasis: 13056
-q1=360.617
-q2=596.591
-q3=96.7991
-q12=28.1605
-q23=9.85508e-24
-q_onetwo=28.160537
-b1=4.059648
-b2=-1.069329
+q1=360.699
+q2=482.15
+q3=94.9833
+q12=23.4374
+q23=1.15805e-23
+q_onetwo=23.437378
+b1=4.089479
+b2=-1.573930
b3=0.000000
-mu_gamma=96.799141
+mu_gamma=94.983261
---------------------------------------------------------------------------------------------------------------------------------------
Levels | q1 | q2 | q3 | q12 | q23 | b1 | b2 | b3 |
---------------------------------------------------------------------------------------------------------------------------------------
- 4 & 3.60617e+02 & 5.96591e+02 & 9.67991e+01 & 2.81605e+01 & 9.85508e-24 & 4.05965e+00 & -1.06933e+00 & 5.63759e-32 &
+ 4 & 3.60699e+02 & 4.82150e+02 & 9.49833e+01 & 2.34374e+01 & 1.15805e-23 & 4.08948e+00 & -1.57393e+00 & 5.72151e-32 &
---------------------------------------------------------------------------------------------------------------------------------------
diff --git a/experiment/wood-bilayer/results/6/parameter.txt b/experiment/wood-bilayer-variant/results_inclusion/0/parameter.txt
similarity index 69%
rename from experiment/wood-bilayer/results/6/parameter.txt
rename to experiment/wood-bilayer-variant/results_inclusion/0/parameter.txt
index 4dc71462..dde8a5fa 100644
--- a/experiment/wood-bilayer/results/6/parameter.txt
+++ b/experiment/wood-bilayer-variant/results_inclusion/0/parameter.txt
@@ -1,4 +1,5 @@
-r = 0.22
+r = 0.3
h = 0.0053
+width = 4.262750825
omega_flat = 17.17547062
omega_target = 8.959564147
diff --git a/experiment/wood-bilayer-variant/results_inclusion/1/BMatrix.txt b/experiment/wood-bilayer-variant/results_inclusion/1/BMatrix.txt
new file mode 100644
index 00000000..23b6ca22
--- /dev/null
+++ b/experiment/wood-bilayer-variant/results_inclusion/1/BMatrix.txt
@@ -0,0 +1,3 @@
+1 1 3.73056255328416686
+1 2 -1.01106892172666196
+1 3 -1.42133416825185122
diff --git a/experiment/wood-bilayer-variant/results_inclusion/1/QMatrix.txt b/experiment/wood-bilayer-variant/results_inclusion/1/QMatrix.txt
new file mode 100644
index 00000000..e7c8ae06
--- /dev/null
+++ b/experiment/wood-bilayer-variant/results_inclusion/1/QMatrix.txt
@@ -0,0 +1,9 @@
+1 1 212.840098807635741
+1 2 23.4457840206684764
+1 3 12.5023224470475469
+2 1 23.4466654064088722
+2 2 462.167106745807303
+2 3 10.3430563568999432
+3 1 12.5022404293967409
+3 2 10.3433303905631515
+3 3 77.4438312417293275
diff --git a/experiment/wood-bilayer/results/2/output.txt b/experiment/wood-bilayer-variant/results_inclusion/1/output.txt
similarity index 62%
rename from experiment/wood-bilayer/results/2/output.txt
rename to experiment/wood-bilayer-variant/results_inclusion/1/output.txt
index 27357ee2..6f00caf0 100644
--- a/experiment/wood-bilayer/results/2/output.txt
+++ b/experiment/wood-bilayer-variant/results_inclusion/1/output.txt
@@ -3,47 +3,47 @@ Solver-type used: GMRES-Solver
---------- OUTPUT ----------
--------------------
Corrector-Matrix M_1:
--0.230885 2.19762e-26 0
-2.19762e-26 0.0121584 0
+-0.0586013 -0.0173975 0
+-0.0173975 0.0077912 0
0 0 0
--------------------
Corrector-Matrix M_2:
--0.00288395 3.79325e-27 0
-3.79325e-27 0.109978 0
+-0.00568231 -0.0142287 0
+-0.0142287 0.142068 0
0 0 0
--------------------
Corrector-Matrix M_3:
-0 0.0217664 0
-0.0217664 0 0
+-0.014517 0.048774 0
+0.048774 -0.00123305 0
0 0 0
--------------------
--- Effective moduli ---
Qeff_:
-327.048 22.5166 -3.72878e-24
-22.5166 553.148 1.34417e-24
-9.61672e-33 6.28741e-33 92.0137
+212.84 23.4458 12.5023
+23.4467 462.167 10.3431
+12.5022 10.3433 77.4438
------------------------
--- Prestrain Output ---
-Bhat_: 760.449 -268.437 4.05344e-32
-Beff_: 2.36523 -0.58157 2.33065e-34 (Effective Prestrain)
+Bhat_: 752.538 -394.514 -73.891
+Beff_: 3.73056 -1.01107 -1.42133 (Effective Prestrain)
------------------------
size of FiniteElementBasis: 13056
-q1=327.048
-q2=553.148
-q3=92.0137
-q12=22.5166
-q23=1.34417e-24
-q_onetwo=22.516579
-b1=2.365230
-b2=-0.581570
-b3=0.000000
-mu_gamma=92.013717
+q1=212.84
+q2=462.167
+q3=77.4438
+q12=23.4458
+q23=10.3431
+q_onetwo=23.445784
+b1=3.730563
+b2=-1.011069
+b3=-1.421334
+mu_gamma=77.443831
---------------------------------------------------------------------------------------------------------------------------------------
Levels | q1 | q2 | q3 | q12 | q23 | b1 | b2 | b3 |
---------------------------------------------------------------------------------------------------------------------------------------
- 4 & 3.27048e+02 & 5.53148e+02 & 9.20137e+01 & 2.25166e+01 & 1.34417e-24 & 2.36523e+00 & -5.81570e-01 & 2.33065e-34 &
+ 4 & 2.12840e+02 & 4.62167e+02 & 7.74438e+01 & 2.34458e+01 & 1.03431e+01 & 3.73056e+00 & -1.01107e+00 & -1.42133e+00 &
---------------------------------------------------------------------------------------------------------------------------------------
diff --git a/experiment/wood-bilayer-variant/results_inclusion/1/parameter.txt b/experiment/wood-bilayer-variant/results_inclusion/1/parameter.txt
new file mode 100644
index 00000000..dde8a5fa
--- /dev/null
+++ b/experiment/wood-bilayer-variant/results_inclusion/1/parameter.txt
@@ -0,0 +1,5 @@
+r = 0.3
+h = 0.0053
+width = 4.262750825
+omega_flat = 17.17547062
+omega_target = 8.959564147
diff --git a/experiment/wood-bilayer-variant/results_inclusion/2/BMatrix.txt b/experiment/wood-bilayer-variant/results_inclusion/2/BMatrix.txt
new file mode 100644
index 00000000..ec0739fd
--- /dev/null
+++ b/experiment/wood-bilayer-variant/results_inclusion/2/BMatrix.txt
@@ -0,0 +1,3 @@
+1 1 2.81866714394767026
+1 2 -0.792925965569029279
+1 3 -1.22385637211246556
diff --git a/experiment/wood-bilayer-variant/results_inclusion/2/QMatrix.txt b/experiment/wood-bilayer-variant/results_inclusion/2/QMatrix.txt
new file mode 100644
index 00000000..b8cd75c8
--- /dev/null
+++ b/experiment/wood-bilayer-variant/results_inclusion/2/QMatrix.txt
@@ -0,0 +1,9 @@
+1 1 139.071953047225065
+1 2 24.5930230463225961
+1 3 12.1638523490067492
+2 1 24.5921134865970963
+2 2 455.906396019696388
+2 3 9.08100762069058831
+3 1 12.1640177877764888
+3 2 9.08087920399155024
+3 3 68.4697574657147072
diff --git a/experiment/wood-bilayer/results/4/output.txt b/experiment/wood-bilayer-variant/results_inclusion/2/output.txt
similarity index 62%
rename from experiment/wood-bilayer/results/4/output.txt
rename to experiment/wood-bilayer-variant/results_inclusion/2/output.txt
index 29680bb5..4405e813 100644
--- a/experiment/wood-bilayer/results/4/output.txt
+++ b/experiment/wood-bilayer-variant/results_inclusion/2/output.txt
@@ -3,47 +3,47 @@ Solver-type used: GMRES-Solver
---------- OUTPUT ----------
--------------------
Corrector-Matrix M_1:
--0.229296 1.44303e-25 0
-1.44303e-25 0.012782 0
+0.0363405 -0.0172438 0
+-0.0172438 0.00355875 0
0 0 0
--------------------
Corrector-Matrix M_2:
--0.00309544 1.50887e-26 0
-1.50887e-26 0.109842 0
+-0.00720339 -0.0125625 0
+-0.0125625 0.143313 0
0 0 0
--------------------
Corrector-Matrix M_3:
-0 0.0212263 0
-0.0212263 0 0
+-0.0148652 0.0616537 0
+0.0616537 -0.00099636 0
0 0 0
--------------------
--- Effective moduli ---
Qeff_:
-339.836 24.5875 -9.71937e-24
-24.5875 569.64 2.2993e-23
--2.05037e-32 -1.25879e-32 93.8373
+139.072 24.593 12.1639
+24.5921 455.906 9.08101
+12.164 9.08088 68.4698
------------------------
--- Prestrain Output ---
-Bhat_: 1005.06 -359.667 -2.40141e-31
-Beff_: 3.01258 -0.761427 -2.00301e-33 (Effective Prestrain)
+Bhat_: 357.61 -303.297 -56.7113
+Beff_: 2.81867 -0.792926 -1.22386 (Effective Prestrain)
------------------------
size of FiniteElementBasis: 13056
-q1=339.836
-q2=569.64
-q3=93.8373
-q12=24.5875
-q23=2.2993e-23
-q_onetwo=24.587478
-b1=3.012578
-b2=-0.761427
-b3=-0.000000
-mu_gamma=93.837320
+q1=139.072
+q2=455.906
+q3=68.4698
+q12=24.593
+q23=9.08101
+q_onetwo=24.593023
+b1=2.818667
+b2=-0.792926
+b3=-1.223856
+mu_gamma=68.469757
---------------------------------------------------------------------------------------------------------------------------------------
Levels | q1 | q2 | q3 | q12 | q23 | b1 | b2 | b3 |
---------------------------------------------------------------------------------------------------------------------------------------
- 4 & 3.39836e+02 & 5.69640e+02 & 9.38373e+01 & 2.45875e+01 & 2.29930e-23 & 3.01258e+00 & -7.61427e-01 & -2.00301e-33 &
+ 4 & 1.39072e+02 & 4.55906e+02 & 6.84698e+01 & 2.45930e+01 & 9.08101e+00 & 2.81867e+00 & -7.92926e-01 & -1.22386e+00 &
---------------------------------------------------------------------------------------------------------------------------------------
diff --git a/experiment/wood-bilayer-variant/results_inclusion/2/parameter.txt b/experiment/wood-bilayer-variant/results_inclusion/2/parameter.txt
new file mode 100644
index 00000000..dde8a5fa
--- /dev/null
+++ b/experiment/wood-bilayer-variant/results_inclusion/2/parameter.txt
@@ -0,0 +1,5 @@
+r = 0.3
+h = 0.0053
+width = 4.262750825
+omega_flat = 17.17547062
+omega_target = 8.959564147
diff --git a/experiment/wood-bilayer-variant/results_inclusion/3/BMatrix.txt b/experiment/wood-bilayer-variant/results_inclusion/3/BMatrix.txt
new file mode 100644
index 00000000..451d3ce1
--- /dev/null
+++ b/experiment/wood-bilayer-variant/results_inclusion/3/BMatrix.txt
@@ -0,0 +1,3 @@
+1 1 2.4589640836099278
+1 2 -0.654582330515855459
+1 3 -0.97913518028263824
diff --git a/experiment/wood-bilayer-variant/results_inclusion/3/QMatrix.txt b/experiment/wood-bilayer-variant/results_inclusion/3/QMatrix.txt
new file mode 100644
index 00000000..60b5bffa
--- /dev/null
+++ b/experiment/wood-bilayer-variant/results_inclusion/3/QMatrix.txt
@@ -0,0 +1,9 @@
+1 1 123.083967783951778
+1 2 23.8740385262610886
+1 3 8.95375989684004203
+2 1 23.8735411719368003
+2 2 451.275928994315279
+2 3 6.75922153067595133
+3 1 8.95381522638101224
+3 2 6.75947226576308591
+3 3 60.5356999434844241
diff --git a/experiment/wood-bilayer-variant/results_inclusion/3/kappa_simulation.txt b/experiment/wood-bilayer-variant/results_inclusion/3/kappa_simulation.txt
new file mode 100644
index 00000000..9e219ec3
--- /dev/null
+++ b/experiment/wood-bilayer-variant/results_inclusion/3/kappa_simulation.txt
@@ -0,0 +1,2 @@
+[4.02512563 3.9798995 2.89447236 2.44221106]
+[0. 3.09423196 3.06265816 3.06265816]
\ No newline at end of file
diff --git a/experiment/wood-bilayer/results/3/output.txt b/experiment/wood-bilayer-variant/results_inclusion/3/output.txt
similarity index 62%
rename from experiment/wood-bilayer/results/3/output.txt
rename to experiment/wood-bilayer-variant/results_inclusion/3/output.txt
index cdcdccdb..1e5eec46 100644
--- a/experiment/wood-bilayer/results/3/output.txt
+++ b/experiment/wood-bilayer-variant/results_inclusion/3/output.txt
@@ -3,47 +3,47 @@ Solver-type used: GMRES-Solver
---------- OUTPUT ----------
--------------------
Corrector-Matrix M_1:
--0.229968 2.88958e-27 0
-2.88958e-27 0.012513 0
+0.058725 -0.0127605 0
+-0.0127605 0.00274698 0
0 0 0
--------------------
Corrector-Matrix M_2:
--0.00300407 -2.3938e-28 0
--2.3938e-28 0.109899 0
+-0.00628525 -0.00939955 0
+-0.00939955 0.144154 0
0 0 0
--------------------
Corrector-Matrix M_3:
-0 0.0214569 0
-0.0214569 0 0
+-0.0112346 0.0730744 0
+0.0730744 -0.000736524 0
0 0 0
--------------------
--- Effective moduli ---
Qeff_:
-334.324 23.6829 4.21345e-24
-23.6829 562.522 4.30392e-24
--1.16481e-32 -8.12512e-33 93.0513
+123.084 23.874 8.95376
+23.8735 451.276 6.75922
+8.95382 6.75947 60.5357
------------------------
--- Prestrain Output ---
-Bhat_: 897.803 -319.436 -1.67574e-31
-Beff_: 2.73381 -0.68296 -1.5183e-33 (Effective Prestrain)
+Bhat_: 278.265 -243.311 -41.6802
+Beff_: 2.45896 -0.654582 -0.979135 (Effective Prestrain)
------------------------
size of FiniteElementBasis: 13056
-q1=334.324
-q2=562.522
-q3=93.0513
-q12=23.6829
-q23=4.30392e-24
-q_onetwo=23.682891
-b1=2.733808
-b2=-0.682960
-b3=-0.000000
-mu_gamma=93.051317
+q1=123.084
+q2=451.276
+q3=60.5357
+q12=23.874
+q23=6.75922
+q_onetwo=23.874039
+b1=2.458964
+b2=-0.654582
+b3=-0.979135
+mu_gamma=60.535700
---------------------------------------------------------------------------------------------------------------------------------------
Levels | q1 | q2 | q3 | q12 | q23 | b1 | b2 | b3 |
---------------------------------------------------------------------------------------------------------------------------------------
- 4 & 3.34324e+02 & 5.62522e+02 & 9.30513e+01 & 2.36829e+01 & 4.30392e-24 & 2.73381e+00 & -6.82960e-01 & -1.51830e-33 &
+ 4 & 1.23084e+02 & 4.51276e+02 & 6.05357e+01 & 2.38740e+01 & 6.75922e+00 & 2.45896e+00 & -6.54582e-01 & -9.79135e-01 &
---------------------------------------------------------------------------------------------------------------------------------------
diff --git a/experiment/wood-bilayer-variant/results_inclusion/3/parameter.txt b/experiment/wood-bilayer-variant/results_inclusion/3/parameter.txt
new file mode 100644
index 00000000..dde8a5fa
--- /dev/null
+++ b/experiment/wood-bilayer-variant/results_inclusion/3/parameter.txt
@@ -0,0 +1,5 @@
+r = 0.3
+h = 0.0053
+width = 4.262750825
+omega_flat = 17.17547062
+omega_target = 8.959564147
diff --git a/experiment/wood-bilayer-variant/results_inclusion/kappa_simulation.txt b/experiment/wood-bilayer-variant/results_inclusion/kappa_simulation.txt
new file mode 100644
index 00000000..1ad3187a
--- /dev/null
+++ b/experiment/wood-bilayer-variant/results_inclusion/kappa_simulation.txt
@@ -0,0 +1,2 @@
+[3.9798995 3.64070352 2.66834171 2.32914573]
+[0. 3.03108437 3.03108437 3.03108437]
\ No newline at end of file
diff --git a/experiment/wood-bilayer-variant/results_laminated/0/BMatrix.txt b/experiment/wood-bilayer-variant/results_laminated/0/BMatrix.txt
new file mode 100644
index 00000000..ed6ff43b
--- /dev/null
+++ b/experiment/wood-bilayer-variant/results_laminated/0/BMatrix.txt
@@ -0,0 +1,3 @@
+1 1 4.11681385791799315
+1 2 -1.49447108561506958
+1 3 3.49538591271140651e-31
diff --git a/experiment/wood-bilayer-variant/results_laminated/0/QMatrix.txt b/experiment/wood-bilayer-variant/results_laminated/0/QMatrix.txt
new file mode 100644
index 00000000..7267a1f4
--- /dev/null
+++ b/experiment/wood-bilayer-variant/results_laminated/0/QMatrix.txt
@@ -0,0 +1,9 @@
+1 1 361.321051051320012
+1 2 24.3720958408716548
+1 3 2.53324062594364725e-24
+2 1 24.3720958486459978
+2 2 499.150306105424022
+2 3 -3.65122692259734872e-25
+3 1 -7.25173545095859977e-31
+3 2 -5.8481457080619236e-31
+3 3 95.215995084514276
diff --git a/experiment/wood-bilayer-variant/results_laminated/0/output.txt b/experiment/wood-bilayer-variant/results_laminated/0/output.txt
new file mode 100644
index 00000000..cd8ff007
--- /dev/null
+++ b/experiment/wood-bilayer-variant/results_laminated/0/output.txt
@@ -0,0 +1,49 @@
+Number of Grid-Elements in each direction: [8,8,8]
+Solver-type used: GMRES-Solver
+---------- OUTPUT ----------
+ --------------------
+Corrector-Matrix M_1:
+-0.228619 -2.13929e-29 0
+-2.13929e-29 0.0149057 0
+0 0 0
+
+ --------------------
+Corrector-Matrix M_2:
+-0.00378747 -8.27592e-30 0
+-8.27592e-30 0.133684 0
+0 0 0
+
+ --------------------
+Corrector-Matrix M_3:
+0 0.023674 0
+0.023674 0 0
+0 0 0
+
+ --------------------
+--- Effective moduli ---
+Qeff_:
+361.321 24.3721 2.53324e-24
+24.3721 499.15 -3.65123e-25
+-7.25174e-31 -5.84815e-31 95.216
+
+------------------------
+--- Prestrain Output ---
+Bhat_: 1451.07 -645.63 3.11702e-29
+Beff_: 4.11681 -1.49447 3.49539e-31 (Effective Prestrain)
+------------------------
+size of FiniteElementBasis: 1728
+q1=361.321
+q2=499.15
+q3=95.216
+q12=24.3721
+q23=-3.65123e-25
+q_onetwo=24.372096
+b1=4.116814
+b2=-1.494471
+b3=0.000000
+mu_gamma=95.215995
+---------------------------------------------------------------------------------------------------------------------------------------
+ Levels | q1 | q2 | q3 | q12 | q23 | b1 | b2 | b3 |
+---------------------------------------------------------------------------------------------------------------------------------------
+ 3 & 3.61321e+02 & 4.99150e+02 & 9.52160e+01 & 2.43721e+01 & -3.65123e-25 & 4.11681e+00 & -1.49447e+00 & 3.49539e-31 &
+---------------------------------------------------------------------------------------------------------------------------------------
diff --git a/experiment/wood-bilayer-variant/results_laminated/0/parameter.txt b/experiment/wood-bilayer-variant/results_laminated/0/parameter.txt
new file mode 100644
index 00000000..dde8a5fa
--- /dev/null
+++ b/experiment/wood-bilayer-variant/results_laminated/0/parameter.txt
@@ -0,0 +1,5 @@
+r = 0.3
+h = 0.0053
+width = 4.262750825
+omega_flat = 17.17547062
+omega_target = 8.959564147
diff --git a/experiment/wood-bilayer-variant/results_laminated/1/BMatrix.txt b/experiment/wood-bilayer-variant/results_laminated/1/BMatrix.txt
new file mode 100644
index 00000000..e04f13ee
--- /dev/null
+++ b/experiment/wood-bilayer-variant/results_laminated/1/BMatrix.txt
@@ -0,0 +1,3 @@
+1 1 4.03194308716852401
+1 2 -1.81982107875645926
+1 3 -3.27240896053575185e-09
diff --git a/experiment/wood-bilayer-variant/results_laminated/1/QMatrix.txt b/experiment/wood-bilayer-variant/results_laminated/1/QMatrix.txt
new file mode 100644
index 00000000..17c8c595
--- /dev/null
+++ b/experiment/wood-bilayer-variant/results_laminated/1/QMatrix.txt
@@ -0,0 +1,9 @@
+1 1 364.956097486472117
+1 2 21.5642749884443994
+1 3 5.08779599161897968e-14
+2 1 21.5642306974529454
+2 2 448.885167380934433
+2 3 -2.7849645043343057e-14
+3 1 2.33979479339529356e-08
+3 2 1.12216876619809217e-09
+3 3 94.6162615541033887
diff --git a/experiment/wood-bilayer-variant/results_laminated/1/output.txt b/experiment/wood-bilayer-variant/results_laminated/1/output.txt
new file mode 100644
index 00000000..03561127
--- /dev/null
+++ b/experiment/wood-bilayer-variant/results_laminated/1/output.txt
@@ -0,0 +1,49 @@
+Number of Grid-Elements in each direction: [8,8,8]
+Solver-type used: GMRES-Solver
+---------- OUTPUT ----------
+ --------------------
+Corrector-Matrix M_1:
+-0.224891 -8.55425e-16 0
+-8.55425e-16 0.0158291 0
+0 0 0
+
+ --------------------
+Corrector-Matrix M_2:
+-0.00509955 4.49761e-16 0
+4.49761e-16 0.15202 0
+0 0 0
+
+ --------------------
+Corrector-Matrix M_3:
+1.78704e-11 0.0257722 0
+0.0257722 -2.10788e-12 0
+0 0 0
+
+ --------------------
+--- Effective moduli ---
+Qeff_:
+364.956 21.5643 5.0878e-14
+21.5642 448.885 -2.78496e-14
+2.33979e-08 1.12217e-09 94.6163
+
+------------------------
+--- Prestrain Output ---
+Bhat_: 1432.24 -729.945 -2.17326e-07
+Beff_: 4.03194 -1.81982 -3.27241e-09 (Effective Prestrain)
+------------------------
+size of FiniteElementBasis: 1728
+q1=364.956
+q2=448.885
+q3=94.6163
+q12=21.5643
+q23=-2.78496e-14
+q_onetwo=21.564275
+b1=4.031943
+b2=-1.819821
+b3=-0.000000
+mu_gamma=94.616262
+---------------------------------------------------------------------------------------------------------------------------------------
+ Levels | q1 | q2 | q3 | q12 | q23 | b1 | b2 | b3 |
+---------------------------------------------------------------------------------------------------------------------------------------
+ 3 & 3.64956e+02 & 4.48885e+02 & 9.46163e+01 & 2.15643e+01 & -2.78496e-14 & 4.03194e+00 & -1.81982e+00 & -3.27241e-09 &
+---------------------------------------------------------------------------------------------------------------------------------------
diff --git a/experiment/wood-bilayer-variant/results_laminated/1/parameter.txt b/experiment/wood-bilayer-variant/results_laminated/1/parameter.txt
new file mode 100644
index 00000000..dde8a5fa
--- /dev/null
+++ b/experiment/wood-bilayer-variant/results_laminated/1/parameter.txt
@@ -0,0 +1,5 @@
+r = 0.3
+h = 0.0053
+width = 4.262750825
+omega_flat = 17.17547062
+omega_target = 8.959564147
diff --git a/experiment/wood-bilayer-variant/results_laminated/2/BMatrix.txt b/experiment/wood-bilayer-variant/results_laminated/2/BMatrix.txt
new file mode 100644
index 00000000..897c6159
--- /dev/null
+++ b/experiment/wood-bilayer-variant/results_laminated/2/BMatrix.txt
@@ -0,0 +1,3 @@
+1 1 3.87120917952259092
+1 2 -2.30015683298521045
+1 3 -7.02832142628831646e-10
diff --git a/experiment/wood-bilayer-variant/results_laminated/2/QMatrix.txt b/experiment/wood-bilayer-variant/results_laminated/2/QMatrix.txt
new file mode 100644
index 00000000..83119598
--- /dev/null
+++ b/experiment/wood-bilayer-variant/results_laminated/2/QMatrix.txt
@@ -0,0 +1,9 @@
+1 1 370.532116962456712
+1 2 18.6586886993744869
+1 3 8.19780182142126276e-15
+2 1 18.6587054908125261
+2 2 390.780846557485916
+2 3 7.70137567991383086e-15
+3 1 9.12502134325419322e-10
+3 2 2.49494842180231049e-10
+3 3 94.0652087696278585
diff --git a/experiment/wood-bilayer-variant/results_laminated/2/output.txt b/experiment/wood-bilayer-variant/results_laminated/2/output.txt
new file mode 100644
index 00000000..5fe41d0b
--- /dev/null
+++ b/experiment/wood-bilayer-variant/results_laminated/2/output.txt
@@ -0,0 +1,49 @@
+Number of Grid-Elements in each direction: [8,8,8]
+Solver-type used: GMRES-Solver
+---------- OUTPUT ----------
+ --------------------
+Corrector-Matrix M_1:
+-0.219204 -1.02828e-16 0
+-1.02828e-16 0.0167045 0
+0 0 0
+
+ --------------------
+Corrector-Matrix M_2:
+-0.00606295 -1.19211e-16 0
+-1.19211e-16 0.173365 0
+0 0 0
+
+ --------------------
+Corrector-Matrix M_3:
+4.47173e-12 0.0276901 0
+0.0276901 -3.67483e-13 0
+0 0 0
+
+ --------------------
+--- Effective moduli ---
+Qeff_:
+370.532 18.6587 8.1978e-15
+18.6587 390.781 7.70138e-15
+9.12502e-10 2.49495e-10 94.0652
+
+------------------------
+--- Prestrain Output ---
+Bhat_: 1391.49 -826.625 -6.31534e-08
+Beff_: 3.87121 -2.30016 -7.02832e-10 (Effective Prestrain)
+------------------------
+size of FiniteElementBasis: 1728
+q1=370.532
+q2=390.781
+q3=94.0652
+q12=18.6587
+q23=7.70138e-15
+q_onetwo=18.658689
+b1=3.871209
+b2=-2.300157
+b3=-0.000000
+mu_gamma=94.065209
+---------------------------------------------------------------------------------------------------------------------------------------
+ Levels | q1 | q2 | q3 | q12 | q23 | b1 | b2 | b3 |
+---------------------------------------------------------------------------------------------------------------------------------------
+ 3 & 3.70532e+02 & 3.90781e+02 & 9.40652e+01 & 1.86587e+01 & 7.70138e-15 & 3.87121e+00 & -2.30016e+00 & -7.02832e-10 &
+---------------------------------------------------------------------------------------------------------------------------------------
diff --git a/experiment/wood-bilayer-variant/results_laminated/2/parameter.txt b/experiment/wood-bilayer-variant/results_laminated/2/parameter.txt
new file mode 100644
index 00000000..dde8a5fa
--- /dev/null
+++ b/experiment/wood-bilayer-variant/results_laminated/2/parameter.txt
@@ -0,0 +1,5 @@
+r = 0.3
+h = 0.0053
+width = 4.262750825
+omega_flat = 17.17547062
+omega_target = 8.959564147
diff --git a/experiment/wood-bilayer-variant/results_laminated/3/BMatrix.txt b/experiment/wood-bilayer-variant/results_laminated/3/BMatrix.txt
new file mode 100644
index 00000000..f4c0832d
--- /dev/null
+++ b/experiment/wood-bilayer-variant/results_laminated/3/BMatrix.txt
@@ -0,0 +1,3 @@
+1 1 3.6280251159928385
+1 2 -2.96408372513375973
+1 3 1.60506422050211478e-09
diff --git a/experiment/wood-bilayer-variant/results_laminated/3/QMatrix.txt b/experiment/wood-bilayer-variant/results_laminated/3/QMatrix.txt
new file mode 100644
index 00000000..c605a173
--- /dev/null
+++ b/experiment/wood-bilayer-variant/results_laminated/3/QMatrix.txt
@@ -0,0 +1,9 @@
+1 1 379.076890702710557
+1 2 16.3204378455801589
+1 3 -3.19031230322258589e-15
+2 1 16.3204121706348495
+2 2 332.969061867909829
+2 3 5.17967092637337671e-16
+3 1 2.6220169989170575e-09
+3 2 -9.78110451606630779e-09
+3 3 93.6159745961686269
diff --git a/experiment/wood-bilayer-variant/results_laminated/3/kappa_simulation.txt b/experiment/wood-bilayer-variant/results_laminated/3/kappa_simulation.txt
new file mode 100644
index 00000000..8ba628e4
--- /dev/null
+++ b/experiment/wood-bilayer-variant/results_laminated/3/kappa_simulation.txt
@@ -0,0 +1 @@
+[4. 3.91959799 3.75879397 3.49748744]
\ No newline at end of file
diff --git a/experiment/wood-bilayer-variant/results_laminated/3/output.txt b/experiment/wood-bilayer-variant/results_laminated/3/output.txt
new file mode 100644
index 00000000..7cf4c46d
--- /dev/null
+++ b/experiment/wood-bilayer-variant/results_laminated/3/output.txt
@@ -0,0 +1,49 @@
+Number of Grid-Elements in each direction: [8,8,8]
+Solver-type used: GMRES-Solver
+---------- OUTPUT ----------
+ --------------------
+Corrector-Matrix M_1:
+-0.210053 1.19496e-17 0
+1.19496e-17 0.017221 0
+0 0 0
+
+ --------------------
+Corrector-Matrix M_2:
+-0.00623896 -1.33619e-18 0
+-1.33619e-18 0.194718 0
+0 0 0
+
+ --------------------
+Corrector-Matrix M_3:
+1.10233e-11 0.0292452 0
+0.0292452 1.10306e-12 0
+0 0 0
+
+ --------------------
+--- Effective moduli ---
+Qeff_:
+379.077 16.3204 -3.19031e-15
+16.3204 332.969 5.17967e-16
+2.62202e-09 -9.7811e-09 93.616
+
+------------------------
+--- Prestrain Output ---
+Bhat_: 1326.93 -927.737 1.88764e-07
+Beff_: 3.62803 -2.96408 1.60506e-09 (Effective Prestrain)
+------------------------
+size of FiniteElementBasis: 1728
+q1=379.077
+q2=332.969
+q3=93.616
+q12=16.3204
+q23=5.17967e-16
+q_onetwo=16.320438
+b1=3.628025
+b2=-2.964084
+b3=0.000000
+mu_gamma=93.615975
+---------------------------------------------------------------------------------------------------------------------------------------
+ Levels | q1 | q2 | q3 | q12 | q23 | b1 | b2 | b3 |
+---------------------------------------------------------------------------------------------------------------------------------------
+ 3 & 3.79077e+02 & 3.32969e+02 & 9.36160e+01 & 1.63204e+01 & 5.17967e-16 & 3.62803e+00 & -2.96408e+00 & 1.60506e-09 &
+---------------------------------------------------------------------------------------------------------------------------------------
diff --git a/experiment/wood-bilayer-variant/results_laminated/3/parameter.txt b/experiment/wood-bilayer-variant/results_laminated/3/parameter.txt
new file mode 100644
index 00000000..dde8a5fa
--- /dev/null
+++ b/experiment/wood-bilayer-variant/results_laminated/3/parameter.txt
@@ -0,0 +1,5 @@
+r = 0.3
+h = 0.0053
+width = 4.262750825
+omega_flat = 17.17547062
+omega_target = 8.959564147
diff --git a/experiment/wood-bilayer-variant/results_laminated/4/BMatrix.txt b/experiment/wood-bilayer-variant/results_laminated/4/BMatrix.txt
new file mode 100644
index 00000000..ea1b961d
--- /dev/null
+++ b/experiment/wood-bilayer-variant/results_laminated/4/BMatrix.txt
@@ -0,0 +1,3 @@
+1 1 3.2333244184555836
+1 2 -4.00001015762490564
+1 3 -7.84063247615462131e-10
diff --git a/experiment/wood-bilayer-variant/results_laminated/4/QMatrix.txt b/experiment/wood-bilayer-variant/results_laminated/4/QMatrix.txt
new file mode 100644
index 00000000..94d9a600
--- /dev/null
+++ b/experiment/wood-bilayer-variant/results_laminated/4/QMatrix.txt
@@ -0,0 +1,9 @@
+1 1 393.146818046076874
+1 2 15.1368923377798748
+1 3 -1.0727967233038538e-15
+2 1 15.1368919823990549
+2 2 273.187147441638331
+2 3 4.15403290137424899e-16
+3 1 2.27933780851083675e-09
+3 2 1.76257025609749584e-09
+3 3 93.2184290907585194
diff --git a/experiment/wood-bilayer-variant/results_laminated/4/output.txt b/experiment/wood-bilayer-variant/results_laminated/4/output.txt
new file mode 100644
index 00000000..0fe051e3
--- /dev/null
+++ b/experiment/wood-bilayer-variant/results_laminated/4/output.txt
@@ -0,0 +1,49 @@
+Number of Grid-Elements in each direction: [8,8,8]
+Solver-type used: GMRES-Solver
+---------- OUTPUT ----------
+ --------------------
+Corrector-Matrix M_1:
+-0.194274 2.79987e-18 0
+2.79987e-18 0.0170292 0
+0 0 0
+
+ --------------------
+Corrector-Matrix M_2:
+-0.00468987 -1.72897e-18 0
+-1.72897e-18 0.216856 0
+0 0 0
+
+ --------------------
+Corrector-Matrix M_3:
+3.79448e-12 0.0306202 0
+0.0306202 -6.78842e-13 0
+0 0 0
+
+ --------------------
+--- Effective moduli ---
+Qeff_:
+393.147 15.1369 -1.0728e-15
+15.1369 273.187 4.15403e-16
+2.27934e-09 1.76257e-09 93.2184
+
+------------------------
+--- Prestrain Output ---
+Bhat_: 1210.62 -1043.81 -7.27696e-08
+Beff_: 3.23332 -4.00001 -7.84063e-10 (Effective Prestrain)
+------------------------
+size of FiniteElementBasis: 1728
+q1=393.147
+q2=273.187
+q3=93.2184
+q12=15.1369
+q23=4.15403e-16
+q_onetwo=15.136892
+b1=3.233324
+b2=-4.000010
+b3=-0.000000
+mu_gamma=93.218429
+---------------------------------------------------------------------------------------------------------------------------------------
+ Levels | q1 | q2 | q3 | q12 | q23 | b1 | b2 | b3 |
+---------------------------------------------------------------------------------------------------------------------------------------
+ 3 & 3.93147e+02 & 2.73187e+02 & 9.32184e+01 & 1.51369e+01 & 4.15403e-16 & 3.23332e+00 & -4.00001e+00 & -7.84063e-10 &
+---------------------------------------------------------------------------------------------------------------------------------------
diff --git a/experiment/wood-bilayer-variant/results_laminated/4/parameter.txt b/experiment/wood-bilayer-variant/results_laminated/4/parameter.txt
new file mode 100644
index 00000000..dde8a5fa
--- /dev/null
+++ b/experiment/wood-bilayer-variant/results_laminated/4/parameter.txt
@@ -0,0 +1,5 @@
+r = 0.3
+h = 0.0053
+width = 4.262750825
+omega_flat = 17.17547062
+omega_target = 8.959564147
diff --git a/experiment/wood-bilayer-variant/results_laminated/5/BMatrix.txt b/experiment/wood-bilayer-variant/results_laminated/5/BMatrix.txt
new file mode 100644
index 00000000..fe3a95cd
--- /dev/null
+++ b/experiment/wood-bilayer-variant/results_laminated/5/BMatrix.txt
@@ -0,0 +1,3 @@
+1 1 3.10594114992880233
+1 2 -4.72154315108788669
+1 3 3.86358558286652616e-31
diff --git a/experiment/wood-bilayer-variant/results_laminated/5/QMatrix.txt b/experiment/wood-bilayer-variant/results_laminated/5/QMatrix.txt
new file mode 100644
index 00000000..f19fb5c8
--- /dev/null
+++ b/experiment/wood-bilayer-variant/results_laminated/5/QMatrix.txt
@@ -0,0 +1,9 @@
+1 1 397.987474934635202
+1 2 14.335253214382556
+1 3 -1.03397576569128459e-24
+2 1 14.3352532163009165
+2 2 242.384414032677284
+2 3 2.53404841951059357e-24
+3 1 -8.92740620628545523e-31
+3 2 -6.59145700247656771e-31
+3 3 93.0402626600464941
diff --git a/experiment/wood-bilayer-variant/results_laminated/5/output.txt b/experiment/wood-bilayer-variant/results_laminated/5/output.txt
new file mode 100644
index 00000000..14b2259f
--- /dev/null
+++ b/experiment/wood-bilayer-variant/results_laminated/5/output.txt
@@ -0,0 +1,49 @@
+Number of Grid-Elements in each direction: [8,8,8]
+Solver-type used: GMRES-Solver
+---------- OUTPUT ----------
+ --------------------
+Corrector-Matrix M_1:
+-0.189254 3.33768e-31 0
+3.33768e-31 0.0171218 0
+0 0 0
+
+ --------------------
+Corrector-Matrix M_2:
+-0.00414422 5.90289e-31 0
+5.90289e-31 0.228315 0
+0 0 0
+
+ --------------------
+Corrector-Matrix M_3:
+0 0.0312375 0
+0.0312375 0 0
+0 0 0
+
+ --------------------
+--- Effective moduli ---
+Qeff_:
+397.987 14.3353 -1.03398e-24
+14.3353 242.384 2.53405e-24
+-8.92741e-31 -6.59146e-31 93.0403
+
+------------------------
+--- Prestrain Output ---
+Bhat_: 1168.44 -1099.9 3.62863e-29
+Beff_: 3.10594 -4.72154 3.86359e-31 (Effective Prestrain)
+------------------------
+size of FiniteElementBasis: 1728
+q1=397.987
+q2=242.384
+q3=93.0403
+q12=14.3353
+q23=2.53405e-24
+q_onetwo=14.335253
+b1=3.105941
+b2=-4.721543
+b3=0.000000
+mu_gamma=93.040263
+---------------------------------------------------------------------------------------------------------------------------------------
+ Levels | q1 | q2 | q3 | q12 | q23 | b1 | b2 | b3 |
+---------------------------------------------------------------------------------------------------------------------------------------
+ 3 & 3.97987e+02 & 2.42384e+02 & 9.30403e+01 & 1.43353e+01 & 2.53405e-24 & 3.10594e+00 & -4.72154e+00 & 3.86359e-31 &
+---------------------------------------------------------------------------------------------------------------------------------------
diff --git a/experiment/wood-bilayer-variant/results_laminated/5/parameter.txt b/experiment/wood-bilayer-variant/results_laminated/5/parameter.txt
new file mode 100644
index 00000000..dde8a5fa
--- /dev/null
+++ b/experiment/wood-bilayer-variant/results_laminated/5/parameter.txt
@@ -0,0 +1,5 @@
+r = 0.3
+h = 0.0053
+width = 4.262750825
+omega_flat = 17.17547062
+omega_target = 8.959564147
diff --git a/experiment/wood-bilayer-variant/results_laminated/kappa_simulation.txt b/experiment/wood-bilayer-variant/results_laminated/kappa_simulation.txt
new file mode 100644
index 00000000..b8036fd6
--- /dev/null
+++ b/experiment/wood-bilayer-variant/results_laminated/kappa_simulation.txt
@@ -0,0 +1 @@
+[4. 3.9798995 2.89447236 2.4321608 ]
\ No newline at end of file
diff --git a/experiment/wood-bilayer-variant/wood_inclusion.py b/experiment/wood-bilayer-variant/wood_inclusion.py
new file mode 100644
index 00000000..a93b6902
--- /dev/null
+++ b/experiment/wood-bilayer-variant/wood_inclusion.py
@@ -0,0 +1,154 @@
+import math
+#from python_matrix_operations import *
+import ctypes
+import os
+import sys
+import numpy as np
+import elasticity_toolbox as elast
+
+#---------------------------------------------------------------
+# Wooden bilayer, https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6191116/#pone.0205607.ref015
+#--- define indicator function
+# x[0] : y1-component -1/2 to 1/2
+# x[1] : y2-component -1/2 to 1/2
+# x[2] : x3-component range -1/2 to 1/2
+#--- define indicator function
+
+# Parameters of the model
+# -- ratio between upper layer / thickness, thickness [m]
+param_width = 0.3
+param_r = 0.3
+param_h = 0.0053
+# -- moisture content in the flat state and target state [%]
+param_omega_flat = 17.17547062
+param_omega_target = 8.959564147
+param_theta = 0
+#
+#
+#
+delta_omega=param_omega_target-param_omega_flat
+# moisture content for material law
+omega=param_omega_target
+
+# --- Material properties from https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6191116/#pone.0205607.ref015
+# --- for European beech, moisture content omega = 15%
+# --- L=direction orthogonal to layering and fibres = orthogonal to wood stem cross-section
+# --- T=tangential zu layering
+# --- R=orthogonal zu layering
+# --- in MPa
+# --- Properties are defined by affine function in dependence of moisture content omega via property = b_0+b_1 \omega
+# --- coefficients of affine function are contained in the following array
+# --- data taken from http://dx.doi.org/10.1016/j.cma.2014.10.031
+
+properties_coefficients=np.array([
+ # [b_0, b_1]
+[2565.6,-59.7], # E_R [MPa]
+[885.4, -23.4], # E_T [MPa]
+[17136.7,-282.4], # E_L [MPa]
+[667.8, -15.19], # G_RT [MPa]
+[1482, -15.26], # G_RL [MPa]
+[1100, -17.72], # G_TL [MPa]
+[0.2933, -0.001012], # nu_TR [1]
+[0.383, -0.008722], # nu_LR [1]
+[0.3368, -0.009071] # nu_LT [1]
+])
+# Compute actual properties
+#E_R=1500
+E_R = properties_coefficients[0,0]+properties_coefficients[0,1]*omega
+# E_T=450
+E_T = properties_coefficients[1,0]+properties_coefficients[1,1]*omega
+#E_L=12000
+E_L = properties_coefficients[2,0]+properties_coefficients[2,1]*omega
+# G_RT=400
+G_RT = properties_coefficients[3,0]+properties_coefficients[3,1]*omega
+# G_RL=1200
+G_LR = properties_coefficients[4,0]+properties_coefficients[4,1]*omega
+# G_TL=800
+G_LT = properties_coefficients[5,0]+properties_coefficients[5,1]*omega
+# nu_TR=0.28
+nu_TR = properties_coefficients[6,0]+properties_coefficients[6,1]*omega
+# nu_LR=0.2125
+nu_LR = properties_coefficients[7,0]+properties_coefficients[7,1]*omega
+# nu_LT=0.175
+nu_LT = properties_coefficients[8,0]+properties_coefficients[8,1]*omega
+#
+nu_TL=nu_LT*E_T/E_L
+nu_RT=nu_TR*E_R/E_T
+nu_RL=nu_LR*E_R/E_L
+
+# --- differential swelling strain
+# --- relation to swelling strain eps: eps=alpha* delta_omega with delta_omega = change of water content in %
+alpha_L=0.00011 # PLOS paper
+alpha_R=0.00191 # PLOS paper
+alpha_T=0.00462 # PLOS paper
+# Umrechnen
+#alpha_L=(1-1/(1+delta_omega*alpha_L))/delta_omega
+#alpha_R=(1-1/(1+delta_omega*alpha_R))/delta_omega
+#alpha_T=(1-1/(1+delta_omega*alpha_T))/delta_omega
+# --- define geometry
+
+def indicatorFunction(x):
+ factor=1
+ is_in_inclusion=(np.abs(x[0]-x[1])<param_width) and (x[2]>=(0.5-param_r)) and (x[0]>-0.4) and (x[0]<0.4)
+ if (x[2]>=(0.5-param_r)):
+ if is_in_inclusion:
+ return 3
+ else :
+ return 1
+ else :
+ return 2
+
+# --- Number of material phases
+Phases=3
+
+# --- PHASE 1
+# y_1-direction: L
+# y_2-direction: T
+# x_3-direction: R
+# phase1_type="orthotropic"
+# materialParameters_phase1 = [E_L,E_T,E_R,G_TL,G_RT,G_RL,nu_LT,nu_LR,nu_TR]
+phase1_type="general_anisotropic"
+[E_1,E_2,E_3]=[E_L,E_T,E_R]
+[nu_12,nu_13,nu_23]=[nu_LT,nu_LR,nu_TR]
+[nu_21,nu_31,nu_32]=[nu_TL,nu_RL,nu_RT]
+[G_12,G_31,G_23]=[G_LT,G_LR,G_RT]
+compliance_S=np.array([[1/E_1, -nu_21/E_2, -nu_31/E_3, 0.0, 0.0, 0.0],
+ [-nu_12/E_1, 1/E_2, -nu_32/E_3, 0.0, 0.0, 0.0],
+ [-nu_13/E_1, -nu_23/E_2, 1/E_3, 0.0, 0.0, 0.0],
+ [0.0, 0.0, 0.0, 1/G_23, 0.0, 0.0],
+ [0.0, 0.0, 0.0, 0.0, 1/G_31, 0.0],
+ [0.0, 0.0, 0.0, 0.0, 0.0, 1/G_12]]);
+materialParameters_phase1 = compliance_S
+def prestrain_phase1(x):
+ return [[1/param_h*delta_omega*alpha_L, 0, 0], [0,1/param_h*delta_omega*alpha_T,0], [0,0,1/param_h*delta_omega*alpha_R]]
+
+# --- PHASE 2
+# y_1-direction: R
+# y_2-direction: L
+# x_3-direction: T
+phase2_type="general_anisotropic"
+[E_1,E_2,E_3]=[E_R,E_L,E_T]
+[nu_12,nu_13,nu_23]=[nu_RL,nu_RT,nu_LT]
+[nu_21,nu_31,nu_32]=[nu_LR,nu_TR,nu_TL]
+[G_12,G_31,G_23]=[G_LR,G_RT,G_LT]
+compliance_S=np.array([[1/E_1, -nu_21/E_2, -nu_31/E_3, 0.0, 0.0, 0.0],
+ [-nu_12/E_1, 1/E_2, -nu_32/E_3, 0.0, 0.0, 0.0],
+ [-nu_13/E_1, -nu_23/E_2, 1/E_3, 0.0, 0.0, 0.0],
+ [0.0, 0.0, 0.0, 1/G_23, 0.0, 0.0],
+ [0.0, 0.0, 0.0, 0.0, 1/G_31, 0.0],
+ [0.0, 0.0, 0.0, 0.0, 0.0, 1/G_12]]);
+materialParameters_phase2 = compliance_S
+#phase2_type="orthotropic"
+#materialParameters_phase2 = [E_R, E_L, E_T,G_RL, G_TL, G_RT,nu_LR, nu_TR,nu_LT]
+def prestrain_phase2(x):
+ return [[1/param_h*delta_omega*alpha_R, 0, 0], [0,1/param_h*delta_omega*alpha_L,0], [0,0,1/param_h*delta_omega*alpha_T]]
+
+# --- PHASE 3 = approximation of a whole
+phase3_type="isotropic"
+# E in MPa and nu
+E = 1 #
+nu = 0
+# [mu, lambda]
+materialParameters_phase3 = [E/(2*(1+nu)), (E*nu)/((1+nu)*(1-2*nu))]
+def prestrain_phase3(x):
+ return [[0,0,0],[0,0,0],[0,0,0]]
diff --git a/experiment/wood-bilayer-variant/wood_inclusion_test.py b/experiment/wood-bilayer-variant/wood_inclusion_test.py
new file mode 100644
index 00000000..d42ed1cc
--- /dev/null
+++ b/experiment/wood-bilayer-variant/wood_inclusion_test.py
@@ -0,0 +1,160 @@
+import subprocess
+import re
+import os
+import numpy as np
+import matplotlib.pyplot as plt
+import math
+import fileinput
+import time
+import matplotlib.ticker as tickers
+import matplotlib as mpl
+from matplotlib.ticker import MultipleLocator,FormatStrFormatter,MaxNLocator
+import codecs
+import sys
+import threading
+
+# Schreibe input datei für Parameter
+def SetParametersCellProblem(ParameterSet, ParsetFilePath, outputPath):
+ print('----set Parameters -----')
+ with open(ParsetFilePath, 'r') as file:
+ filedata = file.read()
+ filedata = re.sub('(?m)^materialFunction\s?=.*','materialFunction = '+str(ParameterSet.materialFunction),filedata)
+ filedata = re.sub('(?m)^gamma\s?=.*','gamma='+str(ParameterSet.gamma),filedata)
+ filedata = re.sub('(?m)^numLevels\s?=.*','numLevels='+str(ParameterSet.numLevels)+' '+str(ParameterSet.numLevels) ,filedata)
+ filedata = re.sub('(?m)^outputPath\s?=\s?.*','outputPath='+str(outputPath),filedata)
+ f = open(ParsetFilePath,'w')
+ f.write(filedata)
+ f.close()
+
+
+# Ändere Parameter der MaterialFunction
+def SetParameterMaterialFunction(materialFunction, parameterName, parameterValue):
+ with open(Path+"/"+materialFunction+'.py', 'r') as file:
+ filedata = file.read()
+ filedata = re.sub('(?m)^'+str(parameterName)+'\s?=.*',str(parameterName)+' = '+str(parameterValue),filedata)
+ f = open(Path+"/"+materialFunction+'.py','w')
+ f.write(filedata)
+ f.close()
+
+# Rufe Programm zum Lösen des Cell-Problems auf
+def run_CellProblem(executable, parset,write_LOG):
+ print('----- RUN Cell-Problem ----')
+ processList = []
+ LOGFILE = "Cell-Problem_output.log"
+ print('LOGFILE:',LOGFILE)
+ print('executable:',executable)
+ if write_LOG:
+ p = subprocess.Popen(executable + parset
+ + " | tee " + LOGFILE, shell=True)
+
+ else:
+ p = subprocess.Popen(executable + parset
+ + " | tee " + LOGFILE, shell=True)
+
+ p.wait() # wait
+ processList.append(p)
+ exit_codes = [p.wait() for p in processList]
+
+ return
+
+# Read effective quantites
+def ReadEffectiveQuantities(QFilePath = os.path.dirname(os.getcwd()) + '/outputs/QMatrix.txt', BFilePath = os.path.dirname(os.getcwd())+ '/outputs/BMatrix.txt'):
+ # Read Output Matrices (effective quantities)
+ # From Cell-Problem output Files : ../outputs/Qmatrix.txt , ../outputs/Bmatrix.txt
+ # -- Read Matrix Qhom
+ X = []
+ # with codecs.open(path + '/outputs/QMatrix.txt', encoding='utf-8-sig') as f:
+ with codecs.open(QFilePath, encoding='utf-8-sig') as f:
+ for line in f:
+ s = line.split()
+ X.append([float(s[i]) for i in range(len(s))])
+ Q = np.array([[X[0][2], X[1][2], X[2][2]],
+ [X[3][2], X[4][2], X[5][2]],
+ [X[6][2], X[7][2], X[8][2]] ])
+
+ # -- Read Beff (as Vector)
+ X = []
+ # with codecs.open(path + '/outputs/BMatrix.txt', encoding='utf-8-sig') as f:
+ with codecs.open(BFilePath, encoding='utf-8-sig') as f:
+ for line in f:
+ s = line.split()
+ X.append([float(s[i]) for i in range(len(s))])
+ B = np.array([X[0][2], X[1][2], X[2][2]])
+ return Q, B
+
+# Function for evaluating the energy in terms of kappa, alpha and Q, B
+def eval_energy(kappa,alpha,Q,B) :
+ G=kappa*np.array([[np.cos(alpha)**2],[np.sin(alpha)**2],[np.sqrt(2)*np.cos(alpha)*np.sin(alpha)]])-B
+ return np.matmul(np.transpose(G),np.matmul(Q,G))[0,0]
+
+#-------------------------------------------------------------------------------------------------------
+########################
+#### SET PARAMETERS ####
+########################
+# ----- Setup Paths -----
+Path = "./experiment/wood-bilayer-variant"
+# parset = ' ./experiment/wood-bilayer/cellsolver.parset.wood'
+ParsetFile = Path + '/cellsolver.parset.wood'
+executable = 'build-cmake/src/Cell-Problem'
+write_LOG = True # writes Cell-Problem output-LOG in "Cell-Problem_output.log"
+# ---------------------------------
+# Setup Experiment
+# ---------------------------------
+outputPath = Path + '/results_inclusion/'
+
+# ----- Define Input parameters --------------------
+class ParameterSet:
+ pass
+
+ParameterSet.materialFunction = "wood_inclusion"
+ParameterSet.gamma=1.0
+ParameterSet.numLevels=4
+
+# ----- Define Parameters for Material Function --------------------
+# [r, h, omega_flat, omega_target, theta, experimental_kappa, width] width=width of upper inclusion
+# materialFunctionParameter=[
+# [0.22, 0.0053, 17.17547062, 8.959564147, 0, 4.262750825, 0],
+# [0.22, 0.0053, 17.17547062, 8.959564147, 0, 4.262750825, 0.2],
+# [0.22, 0.0053, 17.17547062, 8.959564147, 0, 4.262750825, 0.4],
+# [0.22, 0.0053, 17.17547062, 8.959564147, 0, 4.262750825, 0.6]
+# ]
+materialFunctionParameter=[
+ [0.3, 0.0053, 17.17547062, 8.959564147, 0, 4.262750825, 0],
+ [0.3, 0.0053, 17.17547062, 8.959564147, 0, 4.262750825, 0.1],
+ [0.3, 0.0053, 17.17547062, 8.959564147, 0, 4.262750825, 0.2],
+ [0.3, 0.0053, 17.17547062, 8.959564147, 0, 4.262750825, 0.3]
+]
+
+# ------ Loops through Parameters for Material Function -----------
+for i in range(0,np.shape(materialFunctionParameter)[0]):
+ print("------------------")
+ print("New Loop")
+ print("------------------")
+ # Check output directory
+ path = outputPath + str(i)
+ isExist = os.path.exists(path)
+ if not isExist:
+ # Create a new directory because it does not exist
+ os.makedirs(path)
+ print("The new directory " + path + " is created!")
+ SetParameterMaterialFunction(ParameterSet.materialFunction, "param_r",materialFunctionParameter[i][0])
+ SetParameterMaterialFunction(ParameterSet.materialFunction, "param_h",materialFunctionParameter[i][1])
+ SetParameterMaterialFunction(ParameterSet.materialFunction, "param_omega_flat",materialFunctionParameter[i][2])
+ SetParameterMaterialFunction(ParameterSet.materialFunction, "param_omega_target",materialFunctionParameter[i][3])
+ SetParameterMaterialFunction(ParameterSet.materialFunction, "param_theta",materialFunctionParameter[i][4])
+ SetParameterMaterialFunction(ParameterSet.materialFunction, "param_width",materialFunctionParameter[i][6])
+ SetParametersCellProblem(ParameterSet, ParsetFile, path)
+ #Run Cell-Problem
+ thread = threading.Thread(target=run_CellProblem(executable, " ./"+ParsetFile, write_LOG))
+ thread.start()
+ # ---------------------------------------------------
+ # wait here for the result to be available before continuing
+ thread.join()
+ f = open(path+"/parameter.txt", "w")
+ f.write("r = "+str(materialFunctionParameter[i][0])+"\n")
+ f.write("h = "+str(materialFunctionParameter[i][1])+"\n")
+ f.write("width = "+str(materialFunctionParameter[i][5])+"\n")
+ f.write("omega_flat = "+str(materialFunctionParameter[i][2])+"\n")
+ f.write("omega_target = "+str(materialFunctionParameter[i][3])+"\n")
+ f.close()
+ #
diff --git a/experiment/wood-bilayer-variant/wood_upper_laminate_test.py b/experiment/wood-bilayer-variant/wood_upper_laminate_test.py
new file mode 100644
index 00000000..c3b12352
--- /dev/null
+++ b/experiment/wood-bilayer-variant/wood_upper_laminate_test.py
@@ -0,0 +1,164 @@
+import subprocess
+import re
+import os
+import numpy as np
+import matplotlib.pyplot as plt
+import math
+import fileinput
+import time
+import matplotlib.ticker as tickers
+import matplotlib as mpl
+from matplotlib.ticker import MultipleLocator,FormatStrFormatter,MaxNLocator
+import codecs
+import sys
+import threading
+
+# Schreibe input datei für Parameter
+def SetParametersCellProblem(ParameterSet, ParsetFilePath, outputPath):
+ print('----set Parameters -----')
+ with open(ParsetFilePath, 'r') as file:
+ filedata = file.read()
+ filedata = re.sub('(?m)^materialFunction\s?=.*','materialFunction = '+str(ParameterSet.materialFunction),filedata)
+ filedata = re.sub('(?m)^gamma\s?=.*','gamma='+str(ParameterSet.gamma),filedata)
+ filedata = re.sub('(?m)^numLevels\s?=.*','numLevels='+str(ParameterSet.numLevels)+' '+str(ParameterSet.numLevels) ,filedata)
+ filedata = re.sub('(?m)^outputPath\s?=\s?.*','outputPath='+str(outputPath),filedata)
+ f = open(ParsetFilePath,'w')
+ f.write(filedata)
+ f.close()
+
+
+# Ändere Parameter der MaterialFunction
+def SetParameterMaterialFunction(materialFunction, parameterName, parameterValue):
+ with open(Path+"/"+materialFunction+'.py', 'r') as file:
+ filedata = file.read()
+ filedata = re.sub('(?m)^'+str(parameterName)+'\s?=.*',str(parameterName)+' = '+str(parameterValue),filedata)
+ f = open(Path+"/"+materialFunction+'.py','w')
+ f.write(filedata)
+ f.close()
+
+# Rufe Programm zum Lösen des Cell-Problems auf
+def run_CellProblem(executable, parset,write_LOG):
+ print('----- RUN Cell-Problem ----')
+ processList = []
+ LOGFILE = "Cell-Problem_output.log"
+ print('LOGFILE:',LOGFILE)
+ print('executable:',executable)
+ if write_LOG:
+ p = subprocess.Popen(executable + parset
+ + " | tee " + LOGFILE, shell=True)
+
+ else:
+ p = subprocess.Popen(executable + parset
+ + " | tee " + LOGFILE, shell=True)
+
+ p.wait() # wait
+ processList.append(p)
+ exit_codes = [p.wait() for p in processList]
+
+ return
+
+# Read effective quantites
+def ReadEffectiveQuantities(QFilePath = os.path.dirname(os.getcwd()) + '/outputs/QMatrix.txt', BFilePath = os.path.dirname(os.getcwd())+ '/outputs/BMatrix.txt'):
+ # Read Output Matrices (effective quantities)
+ # From Cell-Problem output Files : ../outputs/Qmatrix.txt , ../outputs/Bmatrix.txt
+ # -- Read Matrix Qhom
+ X = []
+ # with codecs.open(path + '/outputs/QMatrix.txt', encoding='utf-8-sig') as f:
+ with codecs.open(QFilePath, encoding='utf-8-sig') as f:
+ for line in f:
+ s = line.split()
+ X.append([float(s[i]) for i in range(len(s))])
+ Q = np.array([[X[0][2], X[1][2], X[2][2]],
+ [X[3][2], X[4][2], X[5][2]],
+ [X[6][2], X[7][2], X[8][2]] ])
+
+ # -- Read Beff (as Vector)
+ X = []
+ # with codecs.open(path + '/outputs/BMatrix.txt', encoding='utf-8-sig') as f:
+ with codecs.open(BFilePath, encoding='utf-8-sig') as f:
+ for line in f:
+ s = line.split()
+ X.append([float(s[i]) for i in range(len(s))])
+ B = np.array([X[0][2], X[1][2], X[2][2]])
+ return Q, B
+
+# Function for evaluating the energy in terms of kappa, alpha and Q, B
+def eval_energy(kappa,alpha,Q,B) :
+ G=kappa*np.array([[np.cos(alpha)**2],[np.sin(alpha)**2],[np.sqrt(2)*np.cos(alpha)*np.sin(alpha)]])-B
+ return np.matmul(np.transpose(G),np.matmul(Q,G))[0,0]
+
+#-------------------------------------------------------------------------------------------------------
+########################
+#### SET PARAMETERS ####
+########################
+# ----- Setup Paths -----
+Path = "./experiment/wood-bilayer-variant"
+# parset = ' ./experiment/wood-bilayer/cellsolver.parset.wood'
+ParsetFile = Path + '/cellsolver.parset.wood'
+executable = 'build-cmake/src/Cell-Problem'
+write_LOG = True # writes Cell-Problem output-LOG in "Cell-Problem_output.log"
+# ---------------------------------
+# Setup Experiment
+# ---------------------------------
+outputPath = Path + '/results_laminated/'
+#outputPath = Path + '/results_square/'
+
+# ----- Define Input parameters --------------------
+class ParameterSet:
+ pass
+
+ParameterSet.materialFunction = "wood_upper_laminated"
+#ParameterSet.materialFunction = "wood_square"
+ParameterSet.gamma=1.0
+ParameterSet.numLevels=3
+
+# ----- Define Parameters for Material Function --------------------
+# [r, h, omega_flat, omega_target, theta, experimental_kappa, width] width=width of upper laminate
+# materialFunctionParameter=[
+# [0.22, 0.0053, 17.17547062, 8.959564147, 0, 4.262750825, 0],
+# [0.22, 0.0053, 17.17547062, 8.959564147, 0, 4.262750825, 0.2],
+# [0.22, 0.0053, 17.17547062, 8.959564147, 0, 4.262750825, 0.4],
+# [0.22, 0.0053, 17.17547062, 8.959564147, 0, 4.262750825, 0.6]
+# ]
+materialFunctionParameter=[
+ [0.3, 0.0053, 17.17547062, 8.959564147, 0, 4.262750825, 0],
+ [0.3, 0.0053, 17.17547062, 8.959564147, 0, 4.262750825, 0.25],
+ [0.3, 0.0053, 17.17547062, 8.959564147, 0, 4.262750825, 0.5],
+ [0.3, 0.0053, 17.17547062, 8.959564147, 0, 4.262750825, 0.7],
+ [0.3, 0.0053, 17.17547062, 8.959564147, 0, 4.262750825, 0.9],
+ [0.3, 0.0053, 17.17547062, 8.959564147, 0, 4.262750825, 1]
+]
+
+# ------ Loops through Parameters for Material Function -----------
+for i in range(0,np.shape(materialFunctionParameter)[0]):
+ print("------------------")
+ print("New Loop")
+ print("------------------")
+ # Check output directory
+ path = outputPath + str(i)
+ isExist = os.path.exists(path)
+ if not isExist:
+ # Create a new directory because it does not exist
+ os.makedirs(path)
+ print("The new directory " + path + " is created!")
+ SetParameterMaterialFunction(ParameterSet.materialFunction, "param_r",materialFunctionParameter[i][0])
+ SetParameterMaterialFunction(ParameterSet.materialFunction, "param_h",materialFunctionParameter[i][1])
+ SetParameterMaterialFunction(ParameterSet.materialFunction, "param_omega_flat",materialFunctionParameter[i][2])
+ SetParameterMaterialFunction(ParameterSet.materialFunction, "param_omega_target",materialFunctionParameter[i][3])
+ SetParameterMaterialFunction(ParameterSet.materialFunction, "param_theta",materialFunctionParameter[i][4])
+ SetParameterMaterialFunction(ParameterSet.materialFunction, "param_width",materialFunctionParameter[i][6])
+ SetParametersCellProblem(ParameterSet, ParsetFile, path)
+ #Run Cell-Problem
+ thread = threading.Thread(target=run_CellProblem(executable, " ./"+ParsetFile, write_LOG))
+ thread.start()
+ # ---------------------------------------------------
+ # wait here for the result to be available before continuing
+ thread.join()
+ f = open(path+"/parameter.txt", "w")
+ f.write("r = "+str(materialFunctionParameter[i][0])+"\n")
+ f.write("h = "+str(materialFunctionParameter[i][1])+"\n")
+ f.write("width = "+str(materialFunctionParameter[i][5])+"\n")
+ f.write("omega_flat = "+str(materialFunctionParameter[i][2])+"\n")
+ f.write("omega_target = "+str(materialFunctionParameter[i][3])+"\n")
+ f.close()
+ #
diff --git a/experiment/wood-bilayer-variant/wood_upper_laminated.py b/experiment/wood-bilayer-variant/wood_upper_laminated.py
new file mode 100644
index 00000000..467e0dc5
--- /dev/null
+++ b/experiment/wood-bilayer-variant/wood_upper_laminated.py
@@ -0,0 +1,164 @@
+import math
+#from python_matrix_operations import *
+import ctypes
+import os
+import sys
+import numpy as np
+import elasticity_toolbox as elast
+
+#---------------------------------------------------------------
+# Wooden bilayer, https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6191116/#pone.0205607.ref015
+#--- define indicator function
+# x[0] : y1-component -1/2 to 1/2
+# x[1] : y2-component -1/2 to 1/2
+# x[2] : x3-component range -1/2 to 1/2
+#--- define indicator function
+
+# Parameters of the model
+# -- ratio between upper layer / thickness, thickness [m]
+param_width = 1
+param_r = 0.3
+param_h = 0.0053
+# -- moisture content in the flat state and target state [%]
+param_omega_flat = 17.17547062
+param_omega_target = 8.959564147
+param_theta = 0
+#
+#
+#
+delta_omega=param_omega_target-param_omega_flat
+# moisture content for material law
+omega=param_omega_target
+
+# --- Material properties from https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6191116/#pone.0205607.ref015
+# --- for European beech, moisture content omega = 15%
+# --- L=direction orthogonal to layering and fibres = orthogonal to wood stem cross-section
+# --- T=tangential zu layering
+# --- R=orthogonal zu layering
+# --- in MPa
+# --- Properties are defined by affine function in dependence of moisture content omega via property = b_0+b_1 \omega
+# --- coefficients of affine function are contained in the following array
+# --- data taken from http://dx.doi.org/10.1016/j.cma.2014.10.031
+
+properties_coefficients=np.array([
+ # [b_0, b_1]
+[2565.6,-59.7], # E_R [MPa]
+[885.4, -23.4], # E_T [MPa]
+[17136.7,-282.4], # E_L [MPa]
+[667.8, -15.19], # G_RT [MPa]
+[1482, -15.26], # G_RL [MPa]
+[1100, -17.72], # G_TL [MPa]
+[0.2933, -0.001012], # nu_TR [1]
+[0.383, -0.008722], # nu_LR [1]
+[0.3368, -0.009071] # nu_LT [1]
+])
+# Compute actual properties
+#E_R=1500
+E_R = properties_coefficients[0,0]+properties_coefficients[0,1]*omega
+# E_T=450
+E_T = properties_coefficients[1,0]+properties_coefficients[1,1]*omega
+#E_L=12000
+E_L = properties_coefficients[2,0]+properties_coefficients[2,1]*omega
+# G_RT=400
+G_RT = properties_coefficients[3,0]+properties_coefficients[3,1]*omega
+# G_RL=1200
+G_LR = properties_coefficients[4,0]+properties_coefficients[4,1]*omega
+# G_TL=800
+G_LT = properties_coefficients[5,0]+properties_coefficients[5,1]*omega
+# nu_TR=0.28
+nu_TR = properties_coefficients[6,0]+properties_coefficients[6,1]*omega
+# nu_LR=0.2125
+nu_LR = properties_coefficients[7,0]+properties_coefficients[7,1]*omega
+# nu_LT=0.175
+nu_LT = properties_coefficients[8,0]+properties_coefficients[8,1]*omega
+#
+nu_TL=nu_LT*E_T/E_L
+nu_RT=nu_TR*E_R/E_T
+nu_RL=nu_LR*E_R/E_L
+
+# --- differential swelling strain
+# --- relation to swelling strain eps: eps=alpha* delta_omega with delta_omega = change of water content in %
+alpha_L=0.00011 # PLOS paper
+alpha_R=0.00191 # PLOS paper
+alpha_T=0.00462 # PLOS paper
+# Umrechnen
+#alpha_L=(1-1/(1+delta_omega*alpha_L))/delta_omega
+#alpha_R=(1-1/(1+delta_omega*alpha_R))/delta_omega
+#alpha_T=(1-1/(1+delta_omega*alpha_T))/delta_omega
+# --- define geometry
+
+def indicatorFunction(x):
+ factor=1
+ if (x[2]>=(0.5-param_r)):
+ return 1
+ else :
+ if (x[0]>(0.5-param_width)) and (x[2]>=0):
+ return 1
+ else :
+ return 2
+
+# --- Number of material phases
+Phases=3
+
+# --- PHASE 1
+# y_1-direction: L
+# y_2-direction: T
+# x_3-direction: R
+# phase1_type="orthotropic"
+# materialParameters_phase1 = [E_L,E_T,E_R,G_TL,G_RT,G_RL,nu_LT,nu_LR,nu_TR]
+phase1_type="general_anisotropic"
+[E_1,E_2,E_3]=[E_L,E_T,E_R]
+[nu_12,nu_13,nu_23]=[nu_LT,nu_LR,nu_TR]
+[nu_21,nu_31,nu_32]=[nu_TL,nu_RL,nu_RT]
+[G_12,G_31,G_23]=[G_LT,G_LR,G_RT]
+compliance_S=np.array([[1/E_1, -nu_21/E_2, -nu_31/E_3, 0.0, 0.0, 0.0],
+ [-nu_12/E_1, 1/E_2, -nu_32/E_3, 0.0, 0.0, 0.0],
+ [-nu_13/E_1, -nu_23/E_2, 1/E_3, 0.0, 0.0, 0.0],
+ [0.0, 0.0, 0.0, 1/G_23, 0.0, 0.0],
+ [0.0, 0.0, 0.0, 0.0, 1/G_31, 0.0],
+ [0.0, 0.0, 0.0, 0.0, 0.0, 1/G_12]]);
+materialParameters_phase1 = compliance_S
+def prestrain_phase1(x):
+ return [[1/param_h*delta_omega*alpha_L, 0, 0], [0,1/param_h*delta_omega*alpha_T,0], [0,0,1/param_h*delta_omega*alpha_R]]
+
+# --- PHASE 2
+# y_1-direction: R
+# y_2-direction: L
+# x_3-direction: T
+phase2_type="general_anisotropic"
+[E_1,E_2,E_3]=[E_R,E_L,E_T]
+[nu_12,nu_13,nu_23]=[nu_RL,nu_RT,nu_LT]
+[nu_21,nu_31,nu_32]=[nu_LR,nu_TR,nu_TL]
+[G_12,G_31,G_23]=[G_LR,G_RT,G_LT]
+compliance_S=np.array([[1/E_1, -nu_21/E_2, -nu_31/E_3, 0.0, 0.0, 0.0],
+ [-nu_12/E_1, 1/E_2, -nu_32/E_3, 0.0, 0.0, 0.0],
+ [-nu_13/E_1, -nu_23/E_2, 1/E_3, 0.0, 0.0, 0.0],
+ [0.0, 0.0, 0.0, 1/G_23, 0.0, 0.0],
+ [0.0, 0.0, 0.0, 0.0, 1/G_31, 0.0],
+ [0.0, 0.0, 0.0, 0.0, 0.0, 1/G_12]]);
+materialParameters_phase2 = compliance_S
+#phase2_type="orthotropic"
+#materialParameters_phase2 = [E_R, E_L, E_T,G_RL, G_TL, G_RT,nu_LR, nu_TR,nu_LT]
+def prestrain_phase2(x):
+ return [[1/param_h*delta_omega*alpha_R, 0, 0], [0,1/param_h*delta_omega*alpha_L,0], [0,0,1/param_h*delta_omega*alpha_T]]
+
+# --- PHASE 1
+# y_1-direction: L
+# y_2-direction: T
+# x_3-direction: R
+# phase1_type="orthotropic"
+# materialParameters_phase1 = [E_L,E_T,E_R,G_TL,G_RT,G_RL,nu_LT,nu_LR,nu_TR]
+phase3_type="general_anisotropic"
+[E_1,E_2,E_3]=[E_T,E_L,E_R]
+[nu_12,nu_13,nu_23]=[nu_TL,nu_TR,nu_LR]
+[nu_21,nu_31,nu_32]=[nu_LT,nu_RT,nu_RL]
+[G_12,G_31,G_23]=[G_LT,G_RT,G_LR]
+compliance_S=np.array([[1/E_1, -nu_21/E_2, -nu_31/E_3, 0.0, 0.0, 0.0],
+ [-nu_12/E_1, 1/E_2, -nu_32/E_3, 0.0, 0.0, 0.0],
+ [-nu_13/E_1, -nu_23/E_2, 1/E_3, 0.0, 0.0, 0.0],
+ [0.0, 0.0, 0.0, 1/G_23, 0.0, 0.0],
+ [0.0, 0.0, 0.0, 0.0, 1/G_31, 0.0],
+ [0.0, 0.0, 0.0, 0.0, 0.0, 1/G_12]]);
+materialParameters_phase3 = compliance_S
+def prestrain_phase3(x):
+ return [[1/param_h*delta_omega*alpha_T, 0, 0], [0,1/param_h*delta_omega*alpha_L,0], [0,0,1/param_h*delta_omega*alpha_R]]
diff --git a/experiment/wood-bilayer/results/0/BMatrix.txt b/experiment/wood-bilayer/results/0/BMatrix.txt
deleted file mode 100644
index 84844fde..00000000
--- a/experiment/wood-bilayer/results/0/BMatrix.txt
+++ /dev/null
@@ -1,3 +0,0 @@
-1 1 1.22028443964317246
-1 2 -0.2845146939877648
-1 3 -1.41110998730663744e-33
diff --git a/experiment/wood-bilayer/results/0/QMatrix.txt b/experiment/wood-bilayer/results/0/QMatrix.txt
deleted file mode 100644
index 2969e15f..00000000
--- a/experiment/wood-bilayer/results/0/QMatrix.txt
+++ /dev/null
@@ -1,9 +0,0 @@
-1 1 304.52882446568799
-1 2 19.1058810430896244
-1 3 -1.65436122510605535e-24
-2 1 19.1058932055586403
-2 2 524.281062366142351
-2 3 1.18131731230229265e-23
-3 1 7.66396164928418806e-33
-3 2 1.21058723308231638e-32
-3 3 88.8021141416043207
diff --git a/experiment/wood-bilayer/results/0/parameter.txt b/experiment/wood-bilayer/results/0/parameter.txt
deleted file mode 100644
index ee7ee08f..00000000
--- a/experiment/wood-bilayer/results/0/parameter.txt
+++ /dev/null
@@ -1,4 +0,0 @@
-r = 0.22
-h = 0.0053
-omega_flat = 17.17547062
-omega_target = 14.72680026
diff --git a/experiment/wood-bilayer/results/1/BMatrix.txt b/experiment/wood-bilayer/results/1/BMatrix.txt
deleted file mode 100644
index 2b051e95..00000000
--- a/experiment/wood-bilayer/results/1/BMatrix.txt
+++ /dev/null
@@ -1,3 +0,0 @@
-1 1 1.7573834621025497
-1 2 -0.42040684090086522
-1 3 -1.93627631123640932e-32
diff --git a/experiment/wood-bilayer/results/1/QMatrix.txt b/experiment/wood-bilayer/results/1/QMatrix.txt
deleted file mode 100644
index d6f7407d..00000000
--- a/experiment/wood-bilayer/results/1/QMatrix.txt
+++ /dev/null
@@ -1,9 +0,0 @@
-1 1 315.078030302231809
-1 2 20.6661963902054353
-1 3 -5.16987882845642297e-24
-2 1 20.6662089007290781
-2 2 537.77534277449513
-2 3 -1.27954501004296468e-24
-3 1 9.31699229364431294e-32
-3 2 -1.2996446844110351e-32
-3 3 90.3065313535569913
diff --git a/experiment/wood-bilayer/results/1/parameter.txt b/experiment/wood-bilayer/results/1/parameter.txt
deleted file mode 100644
index 23cacfff..00000000
--- a/experiment/wood-bilayer/results/1/parameter.txt
+++ /dev/null
@@ -1,4 +0,0 @@
-r = 0.22
-h = 0.0053
-omega_flat = 17.17547062
-omega_target = 13.64338887
diff --git a/experiment/wood-bilayer/results/2/BMatrix.txt b/experiment/wood-bilayer/results/2/BMatrix.txt
deleted file mode 100644
index 06fe4580..00000000
--- a/experiment/wood-bilayer/results/2/BMatrix.txt
+++ /dev/null
@@ -1,3 +0,0 @@
-1 1 2.36523001516716569
-1 2 -0.581569592422200854
-1 3 2.33065121544418776e-34
diff --git a/experiment/wood-bilayer/results/2/QMatrix.txt b/experiment/wood-bilayer/results/2/QMatrix.txt
deleted file mode 100644
index b04d2a62..00000000
--- a/experiment/wood-bilayer/results/2/QMatrix.txt
+++ /dev/null
@@ -1,9 +0,0 @@
-1 1 327.048205759343205
-1 2 22.5165789852819032
-1 3 -3.72877510502419507e-24
-2 1 22.5165911472273521
-2 2 553.147634470043045
-2 3 1.34416849539866997e-24
-3 1 9.61672195943999387e-33
-3 2 6.28741120991523548e-33
-3 3 92.0137173817475684
diff --git a/experiment/wood-bilayer/results/2/parameter.txt b/experiment/wood-bilayer/results/2/parameter.txt
deleted file mode 100644
index 1b0b796f..00000000
--- a/experiment/wood-bilayer/results/2/parameter.txt
+++ /dev/null
@@ -1,4 +0,0 @@
-r = 0.22
-h = 0.0053
-omega_flat = 17.17547062
-omega_target = 12.41305478
diff --git a/experiment/wood-bilayer/results/3/BMatrix.txt b/experiment/wood-bilayer/results/3/BMatrix.txt
deleted file mode 100644
index 82579fb3..00000000
--- a/experiment/wood-bilayer/results/3/BMatrix.txt
+++ /dev/null
@@ -1,3 +0,0 @@
-1 1 2.73380820761312782
-1 2 -0.68295979603524104
-1 3 -1.51829981430077995e-33
diff --git a/experiment/wood-bilayer/results/3/QMatrix.txt b/experiment/wood-bilayer/results/3/QMatrix.txt
deleted file mode 100644
index ba86d737..00000000
--- a/experiment/wood-bilayer/results/3/QMatrix.txt
+++ /dev/null
@@ -1,9 +0,0 @@
-1 1 334.324056037577748
-1 2 23.6828912676120602
-1 3 4.21345124519198472e-24
-2 1 23.6828964275446054
-2 2 562.522258871768145
-2 3 4.30392412468997212e-24
-3 1 -1.16480740815231617e-32
-3 2 -8.12511691239257716e-33
-3 3 93.0513170279158714
diff --git a/experiment/wood-bilayer/results/3/parameter.txt b/experiment/wood-bilayer/results/3/parameter.txt
deleted file mode 100644
index 3ab41d62..00000000
--- a/experiment/wood-bilayer/results/3/parameter.txt
+++ /dev/null
@@ -1,4 +0,0 @@
-r = 0.22
-h = 0.0053
-omega_flat = 17.17547062
-omega_target = 11.66482931
diff --git a/experiment/wood-bilayer/results/4/BMatrix.txt b/experiment/wood-bilayer/results/4/BMatrix.txt
deleted file mode 100644
index a0f25ae1..00000000
--- a/experiment/wood-bilayer/results/4/BMatrix.txt
+++ /dev/null
@@ -1,3 +0,0 @@
-1 1 3.01257794449986038
-1 2 -0.761426746467108506
-1 3 -2.00301081070281749e-33
diff --git a/experiment/wood-bilayer/results/4/QMatrix.txt b/experiment/wood-bilayer/results/4/QMatrix.txt
deleted file mode 100644
index 7dbc4bb9..00000000
--- a/experiment/wood-bilayer/results/4/QMatrix.txt
+++ /dev/null
@@ -1,9 +0,0 @@
-1 1 339.836353364801084
-1 2 24.5874784431021602
-1 3 -9.71937219749807518e-24
-2 1 24.5874898806789268
-2 2 569.639985045040589
-2 3 2.29930360895599411e-23
-3 1 -2.0503720577364613e-32
-3 2 -1.25878986003714669e-32
-3 3 93.8373197975450353
diff --git a/experiment/wood-bilayer/results/4/parameter.txt b/experiment/wood-bilayer/results/4/parameter.txt
deleted file mode 100644
index 391a2bf4..00000000
--- a/experiment/wood-bilayer/results/4/parameter.txt
+++ /dev/null
@@ -1,4 +0,0 @@
-r = 0.22
-h = 0.0053
-omega_flat = 17.17547062
-omega_target = 11.09781471
diff --git a/experiment/wood-bilayer/results/5/BMatrix.txt b/experiment/wood-bilayer/results/5/BMatrix.txt
deleted file mode 100644
index 8e6000c5..00000000
--- a/experiment/wood-bilayer/results/5/BMatrix.txt
+++ /dev/null
@@ -1,3 +0,0 @@
-1 1 3.82701535427334427
-1 2 -0.999166807715384686
-1 3 1.36223980815737315e-34
diff --git a/experiment/wood-bilayer/results/5/QMatrix.txt b/experiment/wood-bilayer/results/5/QMatrix.txt
deleted file mode 100644
index c14621ce..00000000
--- a/experiment/wood-bilayer/results/5/QMatrix.txt
+++ /dev/null
@@ -1,9 +0,0 @@
-1 1 355.98933444216442
-1 2 27.3425221293822105
-1 3 -1.18907213054497728e-24
-2 1 27.3425338419695017
-2 2 590.572959316512765
-2 3 1.55096364853692689e-25
-3 1 -1.32587679531366614e-33
-3 2 -1.39370368771301563e-33
-3 3 96.1397819755019469
diff --git a/experiment/wood-bilayer/results/5/parameter.txt b/experiment/wood-bilayer/results/5/parameter.txt
deleted file mode 100644
index 861b07bc..00000000
--- a/experiment/wood-bilayer/results/5/parameter.txt
+++ /dev/null
@@ -1,4 +0,0 @@
-r = 0.22
-h = 0.0053
-omega_flat = 17.17547062
-omega_target = 9.435795985
diff --git a/experiment/wood-bilayer/results/6/BMatrix.txt b/experiment/wood-bilayer/results/6/BMatrix.txt
deleted file mode 100644
index 72e1ddee..00000000
--- a/experiment/wood-bilayer/results/6/BMatrix.txt
+++ /dev/null
@@ -1,3 +0,0 @@
-1 1 4.05964843125063535
-1 2 -1.06932937107897685
-1 3 5.63758516062832998e-32
diff --git a/experiment/wood-bilayer/results/6/QMatrix.txt b/experiment/wood-bilayer/results/6/QMatrix.txt
deleted file mode 100644
index b1b97742..00000000
--- a/experiment/wood-bilayer/results/6/QMatrix.txt
+++ /dev/null
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diff --git a/experiment/wood-bilayer/results/Experimental_data_beech-beech-bilayers.ods b/experiment/wood-bilayer/results/Experimental_data_beech-beech-bilayers.ods
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diff --git a/experiment/wood-bilayer/results/auswertung.py b/experiment/wood-bilayer/results/auswertung.py
deleted file mode 100644
index 204c9a30..00000000
--- a/experiment/wood-bilayer/results/auswertung.py
+++ /dev/null
@@ -1,23 +0,0 @@
-import matplotlib.pyplot as plt
-from matplotlib.ticker import StrMethodFormatter
-
-omega=[
- 14.72680026, 13.64338887, 12.41305478, 11.66482931, 11.09781471, 9.435795985, 8.959564147]
-kappa_sim=[1.20240481, 1.73346693, 2.3246493, 2.68537074, 2.95591182, 3.74749499,
- 3.97795591]
-kappa_exp=[
- 1.058078122, 1.544624544, 2.317033799, 2.686043143, 2.967694189, 3.913528418, 4.262750825]
-
-# plotting a line plot after changing it's width and height
-f = plt.figure()
-f.set_figwidth(6)
-f.set_figheight(3)
-plt.gca().yaxis.set_major_formatter(StrMethodFormatter('{x:,.1f}')) # 2 decimal places
-plt.gca().xaxis.set_major_formatter(StrMethodFormatter('{x:,.1f}')) # 2 decimal places
-plt.scatter(omega, kappa_exp, marker='o', label="Experiment")
-plt.scatter(omega, kappa_sim, marker='x', label="Simulation")
-plt.xticks(omega)
-plt.ylabel(r"curvature $\kappa$ (1/mm)")
-plt.xlabel(r"wood moisture content $\omega$ (%)")
-plt.legend()
-plt.show()
diff --git a/experiment/wood-bilayer/results/kappa_simulation.txt b/experiment/wood-bilayer/results/kappa_simulation.txt
deleted file mode 100644
index ff67e05b..00000000
--- a/experiment/wood-bilayer/results/kappa_simulation.txt
+++ /dev/null
@@ -1,2 +0,0 @@
-[1.20240481 1.73346693 2.3246493 2.68537074 2.95591182 3.74749499
- 3.97795591]
\ No newline at end of file
--
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