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test_multi_material_elastic.cc
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test_multi_material_elastic.cc
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/**
* @file test_multi_material_elastic.cc
*
* @author Nicolas Richart <nicolas.richart@epfl.ch>
*
* @date creation: Fri Mar 03 2017
* @date last modification: Thu May 09 2019
*
* @brief Test with 2 elastic materials
*
*
* @section LICENSE
*
* Copyright (©) 2016-2021 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 "non_linear_solver.hh"
#include <solid_mechanics_model.hh>
using namespace akantu;
int main(int argc, char * argv[]) {
initialize("test_multi_material_elastic.dat", argc, argv);
UInt spatial_dimension = 2;
Mesh mesh(spatial_dimension);
mesh.read("test_multi_material_elastic.msh");
SolidMechanicsModel model(mesh);
auto && mat_sel = std::make_shared<MeshDataMaterialSelector<std::string>>(
"physical_names", model);
model.setMaterialSelector(mat_sel);
model.initFull(_analysis_method = _static);
model.applyBC(BC::Dirichlet::FlagOnly(_y), "ground");
model.applyBC(BC::Dirichlet::FlagOnly(_x), "corner");
Vector<Real> trac(spatial_dimension, 0.);
trac(_y) = 1.;
model.applyBC(BC::Neumann::FromTraction(trac), "air");
model.addDumpField("external_force");
model.addDumpField("internal_force");
model.addDumpField("blocked_dofs");
model.addDumpField("displacement");
model.addDumpField("stress");
model.addDumpField("grad_u");
// model.dump();
auto & solver = model.getNonLinearSolver("static");
solver.set("max_iterations", 1);
solver.set("threshold", 1e-8);
solver.set("convergence_type", SolveConvergenceCriteria::_residual);
model.solveStep();
// model.dump();
std::map<std::string, Matrix<Real>> ref_strain;
ref_strain["strong"] = Matrix<Real>(spatial_dimension, spatial_dimension, 0.);
ref_strain["strong"](_y, _y) = .5;
ref_strain["weak"] = Matrix<Real>(spatial_dimension, spatial_dimension, 0.);
ref_strain["weak"](_y, _y) = 1;
Matrix<Real> ref_stress(spatial_dimension, spatial_dimension, 0.);
ref_stress(_y, _y) = 1.;
std::vector<std::string> mats = {"strong", "weak"};
typedef Array<Real>::const_matrix_iterator mat_it;
auto check = [](mat_it it, mat_it end, const Matrix<Real> & ref) -> bool {
for (; it != end; ++it) {
Real dist = (*it - ref).norm<L_2>();
// std::cout << *it << " " << dist << " " << (dist < 1e-10 ? "OK" : "Not
// OK") << std::endl;
if (dist > 1e-10)
return false;
}
return true;
};
for (auto & type : mesh.elementTypes(spatial_dimension)) {
for (auto mat_id : mats) {
auto & stress = model.getMaterial(mat_id).getStress(type);
auto & grad_u = model.getMaterial(mat_id).getGradU(type);
auto sit = stress.begin(spatial_dimension, spatial_dimension);
auto send = stress.end(spatial_dimension, spatial_dimension);
auto git = grad_u.begin(spatial_dimension, spatial_dimension);
auto gend = grad_u.end(spatial_dimension, spatial_dimension);
if (!check(sit, send, ref_stress))
AKANTU_ERROR("The stresses are not correct");
if (!check(git, gend, ref_strain[mat_id]))
AKANTU_ERROR("The grad_u are not correct");
}
}
finalize();
return 0;
}

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