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rAKA/test/test_model/test_non_local_toolbox/test_non_local_averaging.cc
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test_non_local_averaging.cc
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/**
* @file test_non_local_averaging.cc
*
* @author Aurelia Isabel Cuba Ramos <aurelia.cubaramos@epfl.ch>
* @author Nicolas Richart <nicolas.richart@epfl.ch>
*
* @date creation: Sat Sep 26 2015
* @date last modification: Tue Dec 05 2017
*
* @brief test for non-local averaging of strain
*
* @section LICENSE
*
* Copyright (©) 2015-2018 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 "dumper_paraview.hh"
#include "non_local_manager.hh"
#include "non_local_neighborhood.hh"
#include "solid_mechanics_model.hh"
#include "test_material.hh"
/* -------------------------------------------------------------------------- */
using namespace akantu;
/* -------------------------------------------------------------------------- */
int main(int argc, char * argv[]) {
akantu::initialize("material_avg.dat", argc, argv);
// some configuration variables
const UInt spatial_dimension = 2;
ElementType element_type = _quadrangle_4;
GhostType ghost_type = _not_ghost;
// mesh creation and read
Mesh mesh(spatial_dimension);
mesh.read("plate.msh");
/// model creation
SolidMechanicsModel model(mesh);
/// creation of material selector
auto && mat_selector =
std::make_shared<MeshDataMaterialSelector<std::string>>("physical_names",
model);
model.setMaterialSelector(mat_selector);
/// model initialization changed to use our material
model.initFull();
/// dump material index in paraview
model.addDumpField("material_index");
model.addDumpField("grad_u");
model.addDumpField("grad_u non local");
model.dump();
/// apply constant strain field everywhere in the plate
Matrix<Real> applied_strain(spatial_dimension, spatial_dimension);
applied_strain.clear();
for (UInt i = 0; i < spatial_dimension; ++i)
applied_strain(i, i) = 2.;
/// apply constant grad_u field in all elements
for (UInt m = 0; m < model.getNbMaterials(); ++m) {
auto & mat = model.getMaterial(m);
auto & grad_u = const_cast<Array<Real> &>(
mat.getInternal<Real>("eigen_grad_u")(element_type, ghost_type));
auto grad_u_it = grad_u.begin(spatial_dimension, spatial_dimension);
auto grad_u_end = grad_u.end(spatial_dimension, spatial_dimension);
for (; grad_u_it != grad_u_end; ++grad_u_it)
(*grad_u_it) = -1. * applied_strain;
}
/// compute the non-local strains
model.assembleInternalForces();
model.dump();
/// verify the result: non-local averaging over constant field must
/// yield same constant field
Real test_result = 0.;
Matrix<Real> difference(spatial_dimension, spatial_dimension, 0.);
for (UInt m = 0; m < model.getNbMaterials(); ++m) {
auto & mat = model.getMaterial(m);
auto & grad_u_nl =
mat.getInternal<Real>("grad_u non local")(element_type, ghost_type);
auto grad_u_nl_it = grad_u_nl.begin(spatial_dimension, spatial_dimension);
auto grad_u_nl_end = grad_u_nl.end(spatial_dimension, spatial_dimension);
for (; grad_u_nl_it != grad_u_nl_end; ++grad_u_nl_it) {
difference = (*grad_u_nl_it) - applied_strain;
test_result += difference.norm<L_2>();
}
}
if (test_result > 10.e-13) {
std::cout << "the total norm is: " << test_result << std::endl;
std::terminate();
}
return 0;
}
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