From 384e7d10358ebefcbca896d8d03fbcfe78a8454c Mon Sep 17 00:00:00 2001
From: Lisa Julia Nebel <lisa_julia.nebel@tu-dresden.de>
Date: Mon, 8 Feb 2021 11:19:27 +0100
Subject: [PATCH] Add test for the stressassembler

---
 test/CMakeLists.txt                           |      6 +
 test/stressPlotData/stressPlotTestDeformation | 151250 +++++++++++++++
 .../stressPlotTestInitialDeformation          | 119362 ++++++++++++
 test/stressPlotData/stressPlotTestRotation    | 151250 +++++++++++++++
 test/surfacecosseratstressassemblertest.cc    |    309 +
 5 files changed, 422177 insertions(+)
 create mode 100644 test/stressPlotData/stressPlotTestDeformation
 create mode 100644 test/stressPlotData/stressPlotTestInitialDeformation
 create mode 100644 test/stressPlotData/stressPlotTestRotation
 create mode 100644 test/surfacecosseratstressassemblertest.cc

diff --git a/test/CMakeLists.txt b/test/CMakeLists.txt
index 91c1f248..ef40b8d4 100644
--- a/test/CMakeLists.txt
+++ b/test/CMakeLists.txt
@@ -10,6 +10,7 @@ set(TESTS
   orthogonalmatrixtest
   rigidbodymotiontest
   rotationtest
+  surfacecosseratstressassemblertest
   svdtest
   targetspacetest
 )
@@ -32,3 +33,8 @@ dune_add_test(SOURCES geodesicfeassemblerwrappertest.cc
 
 # Copy the example grid used for testing into the build dir
 file(COPY grids/irregular-square.msh DESTINATION ${CMAKE_CURRENT_BINARY_DIR}/grids)
+
+# Copy an example for the stress plot into the build dir
+file(COPY stressPlotData/stressPlotTestDeformation DESTINATION ${CMAKE_CURRENT_BINARY_DIR}/stressPlotData)
+file(COPY stressPlotData/stressPlotTestRotation DESTINATION ${CMAKE_CURRENT_BINARY_DIR}/stressPlotData)
+file(COPY stressPlotData/stressPlotTestInitialDeformation DESTINATION ${CMAKE_CURRENT_BINARY_DIR}/stressPlotData)
diff --git a/test/stressPlotData/stressPlotTestDeformation b/test/stressPlotData/stressPlotTestDeformation
new file mode 100644
index 00000000..86e963e7
--- /dev/null
+++ b/test/stressPlotData/stressPlotTestDeformation
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diff --git a/test/stressPlotData/stressPlotTestRotation b/test/stressPlotData/stressPlotTestRotation
new file mode 100644
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diff --git a/test/surfacecosseratstressassemblertest.cc b/test/surfacecosseratstressassemblertest.cc
new file mode 100644
index 00000000..66cbddd5
--- /dev/null
+++ b/test/surfacecosseratstressassemblertest.cc
@@ -0,0 +1,309 @@
+#include <iostream>
+#include <fstream>
+
+#include <config.h>
+
+// Includes for the ADOL-C automatic differentiation library
+// Need to come before (almost) all others.
+#include <adolc/adouble.h>
+#include <adolc/drivers/drivers.h>    // use of "Easy to Use" drivers
+#include <adolc/taping.h>
+
+#include <dune/fufem/utilities/adolcnamespaceinjections.hh>
+
+#include <dune/common/parametertree.hh>
+#include <dune/common/parametertreeparser.hh>
+#include <dune/common/version.hh>
+
+#include <dune/elasticity/materials/stvenantkirchhoffdensity.hh>
+
+#include <dune/functions/functionspacebases/interpolate.hh>
+#include <dune/functions/functionspacebases/lagrangebasis.hh>
+#include <dune/functions/functionspacebases/powerbasis.hh>
+#include <dune/functions/gridfunctions/discreteglobalbasisfunction.hh>
+
+#include <dune/grid/uggrid.hh>
+#include <dune/grid/utility/structuredgridfactory.hh>
+
+#include <dune/gfe/filereader.hh>
+#include <dune/gfe/rotation.hh>
+#include <dune/gfe/surfacecosseratstressassembler.hh>
+
+#include <dune/matrix-vector/transpose.hh>
+
+// grid dimension
+#ifndef WORLD_DIM
+#  define WORLD_DIM 3
+#endif
+const int dim = WORLD_DIM;
+
+const int displacementOrder = 2;
+const int rotationOrder = 2;
+
+using namespace Dune;
+using ValueType = adouble;
+
+
+// Surface Shell Boundary
+std::function<bool(FieldVector<double,dim>)> isSurfaceShellBoundary = [](FieldVector<double,dim> coordinate) {
+  return coordinate[2] > 199.99 and coordinate[0] > 49.99 and coordinate[0] < 150.01;
+};
+
+static bool sameEntries(FieldVector<double,3> a,FieldVector<double,3> b) {
+  b[1] *= -1;
+  b -= a;
+  //If a.two_norm > 0, so if there is a displacement at this points: Scale the difference with the length of the vectors
+  return a.two_norm() > 0 ? b.two_norm()/a.two_norm() < 0.05 : b.two_norm() < 0.05; 
+}
+
+static bool sameEntries(FieldVector<double,4> a,FieldVector<double,4> b) {
+  Rotation<double,dim> rotationA(a);
+  Rotation<double,dim> rotationB(b);
+  rotationA.mult(rotationB);
+  Rotation<double,dim> identity;
+  auto distance = Rotation<double,dim>::distance(rotationA, identity);
+  return distance < 0.01;
+}
+
+template <int d>
+static bool symmetryTest(std::unordered_map<std::string, FieldVector<double,d>> map, double axis) {
+  bool isSame = true;
+  std::string entry;
+  for (auto it = map.begin(); it != map.end(); it++) {
+    auto stringKey = it->first;
+    std::stringstream entries(stringKey);
+    FieldVector<double,dim> coordinate(0);
+    int j = 0;
+    while(entries >> entry)
+      coordinate[j++] = std::stod(entry);
+    if (coordinate[1] < axis) {
+      coordinate[1] -= 2*axis;
+      coordinate[1] *= -1;
+      std::stringstream stream;
+      stream << coordinate; //modified coordinate
+      if (map.count(stream.str()) > 0 && isSurfaceShellBoundary(coordinate)) {
+        bool thisIsSame = sameEntries(it->second, map.at(stream.str()));
+        isSame = isSame && thisIsSame;
+      }
+    }
+  }
+  return isSame;
+}
+
+int main (int argc, char *argv[])
+{
+  MPIHelper& mpiHelper = MPIHelper::instance(argc, argv);
+
+  /////////////////////////////////////////////////////////////
+  //                      CREATE THE GRID
+  /////////////////////////////////////////////////////////////
+  typedef UGGrid<dim> GridType;
+
+  std::shared_ptr<GridType> grid = StructuredGridFactory<GridType>::createCubeGrid({0,0,0}, {200, 60, 200}, {10,3,5});
+  grid->setRefinementType(GridType::RefinementType::COPY);
+
+  int numLevels = 4;
+ 
+  while (numLevels > 0) {
+    for (auto&& e : elements(grid->leafGridView())){
+      bool isSurfaceShell = false;
+      for (int i = 0; i < e.geometry().corners(); i++) {
+          isSurfaceShell = isSurfaceShell || isSurfaceShellBoundary(e.geometry().corner(i));
+      }
+      grid->mark(isSurfaceShell ? 1 : 0,e);
+    }
+
+    grid->adapt();
+
+    numLevels--;
+  }
+  typedef GridType::LeafGridView GridView;
+  GridView gridView = grid->leafGridView();
+
+  /////////////////////////////////////////////////////////////
+  //                   SURFACE SHELL BOUNDARY
+  /////////////////////////////////////////////////////////////
+
+  const GridView::IndexSet& indexSet = gridView.indexSet();
+  BitSetVector<1> surfaceShellVertices(gridView.size(dim), false);
+  for (auto&& v : vertices(gridView))
+  {
+    bool isSurfaceShell = isSurfaceShellBoundary(v.geometry().corner(0));
+    surfaceShellVertices[indexSet.index(v)] = isSurfaceShell;
+  }
+  BoundaryPatch<GridView> surfaceShellBoundary(gridView, surfaceShellVertices);
+
+  std::function<Dune::FieldVector<double,2>(Dune::FieldVector<double,dim>)> fLame = [](Dune::FieldVector<double,dim> x){
+    Dune::FieldVector<double,2> lameConstants {1.24E+07,2.52E+07}; //stiffness = 33
+    return lameConstants;
+  };
+
+  /////////////////////////////////////////////////////////////
+  //                      FUNCTION SPACE
+  /////////////////////////////////////////////////////////////
+
+  using namespace Functions::BasisFactory;
+  auto basisOrderD = makeBasis(
+    gridView,
+    power<dim>(
+        lagrange<displacementOrder>()
+  ));
+
+  auto basisOrderR = makeBasis(
+    gridView,
+    power<dim>(
+        lagrange<rotationOrder>()
+  ));
+
+  /////////////////////////////////////////////////////////////
+  //               READ IN TEST DATA
+  /////////////////////////////////////////////////////////////
+
+  auto deformationMap = Dune::GFE::transformFileToMap<dim>("./stressPlotData/stressPlotTestDeformation");
+  auto initialDeformationMap = Dune::GFE::transformFileToMap<dim>("./stressPlotData/stressPlotTestInitialDeformation");
+  const auto dimRotation = Rotation<double,dim>::embeddedDim;
+  auto rotationMap = Dune::GFE::transformFileToMap<dimRotation>("./stressPlotData/stressPlotTestRotation");
+
+  bool deformationIsSymmetric = symmetryTest<dim>(deformationMap, 30);
+  bool rotationIsSymmetric = symmetryTest<dimRotation>(rotationMap, 30);
+
+  if (!deformationIsSymmetric) {
+    std::cerr << "The stressAssemblerTest checking for symmetry only works with a symmetric deformation intput file! Please check the file for symmetry!" << std::endl;
+    return 1;
+  }
+  if (!rotationIsSymmetric) {
+    std::cout << "The rotation is not symmetric, but that is still ok!" << std::endl;
+  }
+
+  using DisplacementVector = std::vector<FieldVector<double,dim> >;
+  DisplacementVector x;
+  x.resize(basisOrderD.size());
+  DisplacementVector xInitial;
+  xInitial.resize(basisOrderD.size());
+  DisplacementVector displacement;
+  displacement.resize(basisOrderD.size());
+  
+  Functions::interpolate(basisOrderD, x, [](FieldVector<double,dim> x){ return x; });
+  Functions::interpolate(basisOrderD, xInitial, [](FieldVector<double,dim> x){ return x; });
+
+  for (int i = 0; i < basisOrderD.size(); i++) {
+    std::stringstream stream;
+    stream << x[i];
+    //Look up the displacement for this vertex in the deformationMap
+    displacement[i] = deformationMap.at(stream.str());
+    x[i] += deformationMap.at(stream.str());
+    xInitial[i] += initialDeformationMap.at(stream.str());
+  }
+
+  using RotationVector = std::vector<Rotation<double,dim>>;
+  RotationVector rot;
+  rot.resize(basisOrderR.size());
+  DisplacementVector xOrderR;
+  xOrderR.resize(basisOrderR.size());
+  Functions::interpolate(basisOrderR, xOrderR, [](FieldVector<double,dim> x){ return x; });
+  for (int i = 0; i < basisOrderR.size(); i++) {
+    std::stringstream stream;
+    stream << xOrderR[i];
+    Rotation<double,dim> rotation(rotationMap.at(stream.str()));
+    FieldMatrix<double,dim,dim> rotationMatrix(0);
+    rotation.matrix(rotationMatrix);
+    rot[i].set(rotationMatrix);
+  }
+
+  MultipleCodimMultipleGeomTypeMapper<GridView> elementMapper(basisOrderD.gridView(),mcmgElementLayout());
+  std::vector<int> indicesOfMirroredElements(0);
+  indicesOfMirroredElements.resize(elementMapper.size());
+
+  std::unordered_map<std::string, int> elementCenterMirrorMap;
+  static constexpr auto partitionType = Partitions::interiorBorder;
+  for (const auto& element : elements(basisOrderD.gridView(), partitionType)) {
+    std::stringstream stream;
+    stream << element.geometry().center();
+    elementCenterMirrorMap.insert({stream.str(), elementMapper.index(element)});
+  }
+
+  /////////////////////////////////////////////////////////////
+  //           STRESS ASSEMBLER
+  /////////////////////////////////////////////////////////////
+
+  auto quadOrder = 4;
+  auto stressAssembler = GFE::SurfaceCosseratStressAssembler<decltype(basisOrderD),decltype(basisOrderR), FieldVector<double,dim>, Rotation<double,dim>>
+    (basisOrderD, basisOrderR);
+
+  std::shared_ptr<Elasticity::LocalDensity<dim,ValueType>> elasticDensity;
+  ParameterTree materialParameters;
+  materialParameters["mu"] = "2.7191e+4";
+  materialParameters["lambda"] = "4.4364e+4";
+  elasticDensity = std::make_shared<Elasticity::StVenantKirchhoffDensity<dim,ValueType>>(materialParameters);
+
+  std::vector<FieldMatrix<double,dim,dim>> stressSubstrate1stPiolaKirchhoffTensor;
+  std::vector<FieldMatrix<double,dim,dim>> stressSubstrateCauchyTensor;
+  stressAssembler.assembleSubstrateStress<Elasticity::LocalDensity<dim,ValueType>>(x, elasticDensity.get(), quadOrder, stressSubstrate1stPiolaKirchhoffTensor, stressSubstrateCauchyTensor);
+  std::vector<FieldMatrix<double,dim,dim>> stressShellBiotTensor;
+  stressAssembler.assembleShellStress(rot, x, xInitial, fLame,/*mu_c*/0, surfaceShellBoundary, quadOrder, stressShellBiotTensor);
+
+  //Now modify ONE value in the rotation function
+  int i = 39787;
+  FieldMatrix<double,dim,dim> rotationMatrix(0);
+  FieldMatrix<double,dim,dim> transposed(0);
+  rot[i].matrix(rotationMatrix);
+  Dune::MatrixVector::transpose(transposed, rotationMatrix);
+  rot[i].set(transposed);
+  std::vector<FieldMatrix<double,dim,dim>> stressShellBiotTensorNotSymmetric;
+  stressAssembler.assembleShellStress(rot, x, xInitial, fLame,/*mu_c*/0, surfaceShellBoundary, quadOrder, stressShellBiotTensorNotSymmetric);
+  // ... and ONE in the displacement function
+  x[i] *= 2;
+  std::vector<FieldMatrix<double,dim,dim>> stressSubstrate1stPiolaKirchhoffTensorNotSymmetric;
+  std::vector<FieldMatrix<double,dim,dim>> stressSubstrateCauchyTensorNotSymmetric;
+  stressAssembler.assembleSubstrateStress<Elasticity::LocalDensity<dim,ValueType>>(x, elasticDensity.get(), quadOrder, stressSubstrate1stPiolaKirchhoffTensorNotSymmetric, stressSubstrateCauchyTensorNotSymmetric);
+  // ... and make sure that the stress is not symmetric anymore!
+  bool substrateModifiedIsNotSymmetric = false;
+  bool shellModifiedIsNotSymmetric = false;
+
+  auto axis = 30; //test for symmetry for the plane at y=30
+
+  for (const auto& element : elements(basisOrderD.gridView(), partitionType)) {
+    auto elementCenter = element.geometry().center();
+    elementCenter[1] -= 2*axis;
+    elementCenter[1] *= -1;
+
+    int thisIndex = elementMapper.index(element);
+    std::stringstream stream;
+    stream << elementCenter;
+    int mirroredIndex = elementCenterMirrorMap.at(stream.str());
+
+    auto substrate = stressSubstrate1stPiolaKirchhoffTensor[thisIndex];
+    auto mirroredSubstrate = stressSubstrate1stPiolaKirchhoffTensor[mirroredIndex];
+    if ((substrate.frobenius_norm() - mirroredSubstrate.frobenius_norm())/mirroredSubstrate.frobenius_norm() > 0.05) {
+      std::cerr << "The elements with center " << element.geometry().center()
+                << " and " << elementCenter << " have different 1st-Piola-Kirchhoff stress values (assembled using order 3): " << std::endl
+                << substrate << " and " << mirroredSubstrate << ", but should have the same!" << std::endl;
+      return 1;
+    }
+
+    auto shell = stressShellBiotTensor[thisIndex];
+    auto mirroredShell = stressShellBiotTensor[mirroredIndex];
+    if ((shell.frobenius_norm()-mirroredShell.frobenius_norm())/mirroredShell.frobenius_norm() > 0.05){
+      std::cerr << "The elements with center " << element.geometry().center()
+                << " and " << elementCenter << " have different Biot stress values (assembled using order 3): " << std::endl
+                << shell << " and " << mirroredShell << ", but should have the same!" << std::endl;
+      return 1;
+    }
+
+    auto substrateNotSymmetric = stressSubstrate1stPiolaKirchhoffTensorNotSymmetric[thisIndex];
+    auto mirroredSubstrateNotSymmetric = stressSubstrate1stPiolaKirchhoffTensorNotSymmetric[mirroredIndex];
+    substrateNotSymmetric -= mirroredSubstrateNotSymmetric;
+    substrateModifiedIsNotSymmetric = substrateModifiedIsNotSymmetric or substrateNotSymmetric.frobenius_norm()/mirroredSubstrateNotSymmetric.frobenius_norm() > 0.05;
+
+    auto shellNotSymmetric = stressShellBiotTensorNotSymmetric[thisIndex];
+    auto mirroredShellNotSymmetric = stressShellBiotTensorNotSymmetric[mirroredIndex];
+    shellNotSymmetric -= mirroredShellNotSymmetric;
+    shellModifiedIsNotSymmetric = shellModifiedIsNotSymmetric or shellNotSymmetric.frobenius_norm()/mirroredShellNotSymmetric.frobenius_norm() > 0.05;
+  }
+
+  if (substrateModifiedIsNotSymmetric and shellModifiedIsNotSymmetric)
+    return 0;
+
+  std::cerr << "The modified functions still returned symmetric stress values!" << std::endl;
+  return 1;
+}
\ No newline at end of file
-- 
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