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test_interpolate_stress.cc
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test_interpolate_stress.cc
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/**
* @file test_interpolate_stress.cc
*
* @author Marco Vocialta <marco.vocialta@epfl.ch>
*
* @date creation: Thu Jun 07 2012
* @date last modification: Tue Nov 07 2017
*
* @brief Test for the stress interpolation function
*
*
* Copyright (©) 2010-2018 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 <fstream>
#include <iostream>
#include <limits>
/* -------------------------------------------------------------------------- */
#include "integrator_gauss.hh"
#include "mesh_utils.hh"
#include "shape_lagrange.hh"
#include "solid_mechanics_model.hh"
/* -------------------------------------------------------------------------- */
using namespace akantu;
Real function(Real x, Real y, Real z) { return 100. + 2. * x + 3. * y + 4 * z; }
int main(int argc, char * argv[]) {
initialize("material_interpolate.dat", argc, argv);
debug::setDebugLevel(dblWarning);
const UInt spatial_dimension = 3;
const ElementType type = _tetrahedron_10;
Mesh mesh(spatial_dimension);
mesh.read("interpolation.msh");
const ElementType type_facet = mesh.getFacetType(type);
Mesh & mesh_facets = mesh.initMeshFacets("mesh_facets");
MeshUtils::buildAllFacets(mesh, mesh_facets);
SolidMechanicsModel model(mesh);
/// model initialization
model.initFull();
Array<Real> & position = mesh.getNodes();
UInt nb_facet = mesh_facets.getNbElement(type_facet);
UInt nb_element = mesh.getNbElement(type);
/// compute quadrature points positions on facets
typedef FEEngineTemplate<IntegratorGauss, ShapeLagrange> MyFEEngineType;
model.registerFEEngineObject<MyFEEngineType>("FacetsFEEngine", mesh_facets,
spatial_dimension - 1);
model.getFEEngine("FacetsFEEngine").initShapeFunctions();
UInt nb_quad_per_facet =
model.getFEEngine("FacetsFEEngine").getNbIntegrationPoints(type_facet);
UInt nb_tot_quad = nb_quad_per_facet * nb_facet;
Array<Real> quad_facets(nb_tot_quad, spatial_dimension);
model.getFEEngine("FacetsFEEngine")
.interpolateOnIntegrationPoints(position, quad_facets, spatial_dimension,
type_facet);
auto && facet_to_element = mesh_facets.getSubelementToElement(type);
UInt nb_facet_per_elem = facet_to_element.getNbComponent();
ElementTypeMapArray<Real> element_quad_facet;
element_quad_facet.alloc(nb_element * nb_facet_per_elem * nb_quad_per_facet,
spatial_dimension, type);
ElementTypeMapArray<Real> interpolated_stress("interpolated_stress", "");
interpolated_stress.initialize(
mesh, _nb_component = spatial_dimension * spatial_dimension,
_spatial_dimension = spatial_dimension);
Array<Real> & interp_stress = interpolated_stress(type);
interp_stress.resize(nb_element * nb_facet_per_elem * nb_quad_per_facet);
Array<Real> & el_q_facet = element_quad_facet(type);
for (UInt el = 0; el < nb_element; ++el) {
for (UInt f = 0; f < nb_facet_per_elem; ++f) {
UInt global_facet = facet_to_element(el, f).element;
for (UInt q = 0; q < nb_quad_per_facet; ++q) {
for (UInt s = 0; s < spatial_dimension; ++s) {
el_q_facet(el * nb_facet_per_elem * nb_quad_per_facet +
f * nb_quad_per_facet + q,
s) = quad_facets(global_facet * nb_quad_per_facet + q, s);
}
}
}
}
/// compute quadrature points position of the elements
UInt nb_quad_per_element = model.getFEEngine().getNbIntegrationPoints(type);
UInt nb_tot_quad_el = nb_quad_per_element * nb_element;
Array<Real> quad_elements(nb_tot_quad_el, spatial_dimension);
model.getFEEngine().interpolateOnIntegrationPoints(position, quad_elements,
spatial_dimension, type);
/// assign some values to stresses
Array<Real> & stress =
const_cast<Array<Real> &>(model.getMaterial(0).getStress(type));
for (UInt q = 0; q < nb_tot_quad_el; ++q) {
for (UInt s = 0; s < spatial_dimension * spatial_dimension; ++s) {
stress(q, s) = s * function(quad_elements(q, 0), quad_elements(q, 1),
quad_elements(q, 2));
}
}
/// interpolate stresses on facets' quadrature points
model.getMaterial(0).initElementalFieldInterpolation(element_quad_facet);
model.getMaterial(0).interpolateStress(interpolated_stress);
Real tolerance = 1.e-10;
/// check results
for (UInt el = 0; el < nb_element; ++el) {
for (UInt f = 0; f < nb_facet_per_elem; ++f) {
for (UInt q = 0; q < nb_quad_per_facet; ++q) {
for (UInt s = 0; s < spatial_dimension * spatial_dimension; ++s) {
Real x = el_q_facet(el * nb_facet_per_elem * nb_quad_per_facet +
f * nb_quad_per_facet + q,
0);
Real y = el_q_facet(el * nb_facet_per_elem * nb_quad_per_facet +
f * nb_quad_per_facet + q,
1);
Real z = el_q_facet(el * nb_facet_per_elem * nb_quad_per_facet +
f * nb_quad_per_facet + q,
2);
Real theoretical = s * function(x, y, z);
Real numerical =
interp_stress(el * nb_facet_per_elem * nb_quad_per_facet +
f * nb_quad_per_facet + q,
s);
if (std::abs(theoretical - numerical) > tolerance) {
std::cout << "Theoretical and numerical values aren't coincident!"
<< std::endl;
return EXIT_FAILURE;
}
}
}
}
}
std::cout << "OK: Stress interpolation test passed." << std::endl;
return EXIT_SUCCESS;
}

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