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test_elastic_homogenization.cc
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test_elastic_homogenization.cc
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/**
* @file test_elastic_homogenization.cc
* @author Aurelia Isabel Cuba Ramos <aurelia.cubaramos@epfl.ch>
* @date Mon Jan 25 18:32:09 2016
*
* @brief Test elastic homogenization of stiffness tensor
*
*
* Copyright (©) 2010-2011 EPFL (Ecole Polytechnique Fédérale de Lausanne)
* Laboratory (LSMS - Laboratoire de Simulation en Mécanique des Solides)
*
* 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 "material_elastic_linear_anisotropic.hh"
#include "solid_mechanics_model_RVE.hh"
using namespace akantu;
/* -------------------------------------------------------------------------- */
int main(int argc, char * argv[]) {
akantu::initialize("material_orthotropic.dat", argc, argv);
const Int spatial_dimension = 2;
const ElementType element_type = _triangle_3;
const GhostType ghost_type = _not_ghost;
Mesh mesh(spatial_dimension);
mesh.read("homogenized_plate.msh");
SolidMechanicsModelRVE model(mesh, false);
/// model initialization
model.initFull();
/// apply eigenstrain
Array<Real> & prestrain_vect =
const_cast<Array<Real> &>(model.getMaterial(0).getInternal<Real>(
"eigen_grad_u")(element_type, ghost_type));
Array<Real>::iterator<Matrix<Real>> prestrain_it =
prestrain_vect.begin(spatial_dimension, spatial_dimension);
Array<Real>::iterator<Matrix<Real>> prestrain_end =
prestrain_vect.end(spatial_dimension, spatial_dimension);
//(*prestrain_it)(0,0) = 0.2;
//(*prestrain_it)(1,1) = 0.2;
for (; prestrain_it != prestrain_end; ++prestrain_it)
(*prestrain_it) += 1.0;
/// storage for results of 3 different loading states
UInt voigt_size = VoigtHelper<spatial_dimension>::size;
MaterialElasticLinearAnisotropic<spatial_dimension> & mat =
dynamic_cast<MaterialElasticLinearAnisotropic<spatial_dimension> &>(
model.getMaterial(0));
Matrix<Real> voigt_stiffness = mat.getVoigtStiffness();
/// homogenize
Matrix<Real> C(voigt_size, voigt_size);
model.homogenizeStiffness(C);
for (Int i = 0; i < voigt_size; ++i) {
for (Int j = 0; j < voigt_size; ++j) {
std::cout << "exact: " << voigt_stiffness(i, j)
<< " approximated: " << C(i, j) << std::endl;
if (std::abs(voigt_stiffness(i, j) - C(i, j)) > 1.e-10) {
std::cout << "The material homogenization failed" << std::endl;
finalize();
return EXIT_FAILURE;
}
}
}
finalize();
return EXIT_SUCCESS;
}

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