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rAKA/extra_packages/extra-materials/test/test_material_FE2/test_eigenstrain_homogenization.cc
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test_eigenstrain_homogenization.cc
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/**
* Copyright (©) 2018-2023 EPFL (Ecole Polytechnique Fédérale de Lausanne)
* Laboratory (LSMS - Laboratoire de Simulation en Mécanique des Solides)
*
* This file is part of Akantu
*
* Akantu is free software: you can redistribute it and/or modify it under the
* terms of the GNU Lesser General Public License as published by the Free
* Software Foundation, either version 3 of the License, or (at your option) any
* later version.
*
* Akantu is distributed in the hope that it will be useful, but WITHOUT ANY
* WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR
* A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more
* details.
*
* You should have received a copy of the GNU Lesser General Public License
* along with Akantu. If not, see <http://www.gnu.org/licenses/>.
*/
/* -------------------------------------------------------------------------- */
#include "solid_mechanics_model_RVE.hh"
using namespace akantu;
/* -------------------------------------------------------------------------- */
/* Main */
/* -------------------------------------------------------------------------- */
int main(int argc, char * argv[]) {
akantu::initialize("mesoscale_materials.dat", argc, argv);
const Int spatial_dimension = 2;
Mesh mesh(spatial_dimension);
mesh.read("one_inclusion.msh");
SolidMechanicsModelRVE model(mesh, false);
auto mat_selector = std::make_shared<MeshDataMaterialSelector<std::string>>(
"physical_names", model);
model.setMaterialSelector(mat_selector);
/// model initialization
model.initFull();
/// apply boundary conditions
Matrix<Real> grad_u_macro(spatial_dimension, spatial_dimension, 0.);
model.applyBoundaryConditions(grad_u_macro);
model.setBaseName("one-inclusion");
model.addDumpFieldVector("displacement");
model.addDumpField("stress");
model.addDumpField("grad_u");
model.addDumpField("blocked_dofs");
model.addDumpField("material_index");
model.addDumpField("eigen_grad_u");
model.dump();
/// apply eigenstrain
Matrix<Real> prestrain(spatial_dimension, spatial_dimension, 0.);
for (Int i = 0; i < spatial_dimension; ++i)
prestrain(i, i) = 0.02;
model.advanceASR(prestrain);
model.dump();
Matrix<Real> macro_strain(spatial_dimension, spatial_dimension, 0.);
model.homogenizeEigenGradU(macro_strain);
std::cout << "the average eigen_gradu is " << macro_strain << std::endl;
Matrix<Real> exact_eigenstrain(spatial_dimension, spatial_dimension, 0.);
for (Int i = 0; i < spatial_dimension; ++i)
exact_eigenstrain(i, i) = 0.00125;
macro_strain -= exact_eigenstrain;
if (macro_strain.norm<L_2>() > 1.e-10) {
std::cout << "the test failed!!" << std::endl;
finalize();
return EXIT_FAILURE;
}
finalize();
return EXIT_SUCCESS;
}
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