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test_eigenstrain.cc
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test_eigenstrain.cc
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/**
* @file test_eigenstrain.cc
*
* @author Aurelia Isabel Cuba Ramos <aurelia.cubaramos@epfl.ch>
*
*
* @brief test to that eigenstrain is only applied on one sub-material
*
*
* Copyright (©) 2010-2012, 2014 EPFL (Ecole Polytechnique Fédérale de Lausanne)
* Laboratory (LSMS - Laboratoire de Simulation en Mécanique des Solides)
*
*/
/* -------------------------------------------------------------------------- */
#include "aka_common.hh"
#include "dumper_paraview.hh"
#include "material_igfem.hh"
#include "mesh_geom_common.hh"
#include "solid_mechanics_model_igfem.hh"
/* -------------------------------------------------------------------------- */
using namespace akantu;
class ASRMaterialSelector : public DefaultMaterialIGFEMSelector {
public:
ASRMaterialSelector(SolidMechanicsModelIGFEM & model)
: DefaultMaterialIGFEMSelector(model), model(model) {}
UInt operator()(const Element & elem) {
if (Mesh::getKind(elem.type) == _ek_igfem)
/// choose IGFEM material
return this->fallback_value_igfem;
const Mesh & mesh = model.getMesh();
UInt spatial_dimension = model.getSpatialDimension();
Vector<Real> barycenter(spatial_dimension);
mesh.getBarycenter(elem, barycenter);
if (model.isInside(barycenter))
return 1;
return 0;
}
protected:
SolidMechanicsModelIGFEM & model;
};
typedef Spherical SK;
int main(int argc, char * argv[]) {
initialize("material_damage.dat", argc, argv);
StaticCommunicator & comm =
akantu::StaticCommunicator::getStaticCommunicator();
Int psize = comm.getNbProc();
Int prank = comm.whoAmI();
/// problem dimension
UInt spatial_dimension = 2;
/// mesh creation and partioning
Mesh mesh(spatial_dimension);
akantu::MeshPartition * partition = NULL;
if (prank == 0) {
mesh.read("fine_mesh.msh");
/// partition the mesh
partition = new MeshPartitionScotch(mesh, spatial_dimension);
partition->partitionate(psize);
}
/// model creation and initialization
SolidMechanicsModelIGFEM model(mesh);
model.initParallel(partition);
delete partition;
/// create the list to store the gel pockets
std::list<SK::Sphere_3> gel_pocket_list;
model.registerGeometryObject(gel_pocket_list, "mat_1");
/// set the material selector
ASRMaterialSelector * mat_selector = new ASRMaterialSelector(model);
model.setMaterialSelector(*mat_selector);
model.initFull();
/// add fields that should be dumped
model.setBaseName("regular_elements");
model.addDumpField("material_index");
model.addDumpField("damage");
model.addDumpField("Sc");
model.addDumpField("partitions");
model.addDumpField("eigen_grad_u");
model.setBaseNameToDumper("igfem elements", "igfem elements");
model.addDumpFieldToDumper("igfem elements", "material_index");
model.addDumpFieldToDumper("igfem elements", "Sc");
model.addDumpFieldToDumper("igfem elements", "lambda");
model.addDumpFieldToDumper("igfem elements", "partitions");
model.addDumpFieldToDumper("igfem elements", "eigen_grad_u");
/// dump
model.dump("igfem elements");
model.dump();
/// create the inclusions
SK::Sphere_3 sphere_1(SK::Point_3(0., 0., 0.), 0.13 * 0.13);
SK::Sphere_3 sphere_2(SK::Point_3(0.5, 0.5, 0.), 0.4 * 0.4);
SK::Sphere_3 sphere_3(SK::Point_3(-0.75, -0.75, 0.), 0.12 * 0.12);
SK::Sphere_3 sphere_4(SK::Point_3(0.625, -0.625, 0.), 0.25 * 0.25);
gel_pocket_list.push_back(sphere_1);
gel_pocket_list.push_back(sphere_2);
gel_pocket_list.push_back(sphere_3);
gel_pocket_list.push_back(sphere_4);
/// create the interface
model.update("mat_1");
if (mesh.getNbElement(_igfem_triangle_4, _not_ghost)) {
/// something went wrong in the interface creation
finalize();
return EXIT_FAILURE;
}
/// apply eigenstrain the eigenstrain in the inclusions
Matrix<Real> prestrain(spatial_dimension, spatial_dimension, 0.);
for (UInt i = 0; i < spatial_dimension; ++i)
prestrain(i, i) = 0.07;
model.applyEigenGradU(prestrain, "mat_1", _not_ghost);
/// check that eigenstrain has been applied correctly
/// check first the regular materials (the first two in the mat file)
Real error = 0;
Material & mat_1 = model.getMaterial(0);
const Array<Real> & eigen_grad_u_1 =
mat_1.getArray<Real>("eigen_grad_u", _triangle_3, _not_ghost);
Array<Real>::const_matrix_iterator eigen_it =
eigen_grad_u_1.begin(spatial_dimension, spatial_dimension);
Array<Real>::const_matrix_iterator eigen_end =
eigen_grad_u_1.end(spatial_dimension, spatial_dimension);
for (; eigen_it != eigen_end; ++eigen_it) {
const Matrix<Real> & eigen_grad_u = *eigen_it;
error += eigen_grad_u.norm<L_2>();
}
Material & mat_2 = model.getMaterial(1);
const Array<Real> & eigen_grad_u_2 =
mat_2.getArray<Real>("eigen_grad_u", _triangle_3, _not_ghost);
eigen_it = eigen_grad_u_2.begin(spatial_dimension, spatial_dimension);
eigen_end = eigen_grad_u_2.end(spatial_dimension, spatial_dimension);
for (; eigen_it != eigen_end; ++eigen_it) {
const Matrix<Real> & eigen_grad_u = *eigen_it;
Matrix<Real> diff = (prestrain - eigen_grad_u);
error += diff.norm<L_2>();
}
MaterialIGFEM & mat_3 = dynamic_cast<MaterialIGFEM &>(model.getMaterial(2));
const Array<Real> & eigen_grad_u_3 =
mat_3.getArray<Real>("eigen_grad_u", _igfem_triangle_5, _not_ghost);
UInt * sub_mat_ptr =
mat_3.getArray<UInt>("sub_material", _igfem_triangle_5, _not_ghost)
.storage();
eigen_it = eigen_grad_u_3.begin(spatial_dimension, spatial_dimension);
eigen_end = eigen_grad_u_3.end(spatial_dimension, spatial_dimension);
for (; eigen_it != eigen_end; ++eigen_it, ++sub_mat_ptr) {
const Matrix<Real> & eigen_grad_u = *eigen_it;
if (!(*sub_mat_ptr)) {
Matrix<Real> diff = (prestrain - eigen_grad_u);
error += diff.norm<L_2>();
} else
error += eigen_grad_u.norm<L_2>();
}
std::cout << "The error in the prestrain is: " << error << std::endl;
if (std::abs(error) > Math::getTolerance()) {
std::cout << "The test failed!!!" << std::endl;
finalize();
return EXIT_FAILURE;
}
/// dump
model.dump("igfem elements");
model.dump();
finalize();
return EXIT_SUCCESS;
}

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