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rAKA/test/test_model/test_solid_mechanics_model/test_cohesive/test_cohesive_extrinsic/test_cohesive_extrinsic_tetrahedron.cc
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test_cohesive_extrinsic_tetrahedron.cc
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/**
* Copyright (©) 2012-2023 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 <fstream>
#include <iostream>
#include <limits>
/* -------------------------------------------------------------------------- */
#include "material_cohesive_linear.hh"
#include "solid_mechanics_model_cohesive.hh"
/* -------------------------------------------------------------------------- */
using namespace akantu;
Real function(Real constant, Real x, Real y, Real z) {
return constant + 2. * x + 3. * y + 4 * z;
}
int main(int argc, char * argv[]) {
initialize("material.dat", argc, argv);
// const UInt max_steps = 1000;
// Real increment = 0.005;
const Int spatial_dimension = 3;
Math::setTolerance(1.e-12);
ElementType type = _tetrahedron_10;
ElementType type_facet = Mesh::getFacetType(type);
ElementType type_cohesive = FEEngine::getCohesiveElementType(type_facet);
Mesh mesh(spatial_dimension);
mesh.read("tetrahedron.msh");
SolidMechanicsModelCohesive model(mesh);
/// model initialization
model.initFull(
SolidMechanicsModelCohesiveOptions(_explicit_lumped_mass, true));
const MaterialCohesiveLinear<3> & mat_cohesive =
dynamic_cast<const MaterialCohesiveLinear<3> &>(model.getMaterial(1));
std::cout << mat_cohesive << std::endl;
std::cout << model.getMaterial(2) << std::endl;
const Real sigma_c = mat_cohesive.get("sigma_c");
const Real beta = mat_cohesive.get("beta");
std::cout << sigma_c << " " << beta << std::endl;
Array<Real> & position = mesh.getNodes();
/* ------------------------------------------------------------------------ */
/* Facet part */
/* ------------------------------------------------------------------------ */
/// compute quadrature points positions on facets
const Mesh & mesh_facets = model.getMeshFacets();
UInt nb_facet = mesh_facets.getNbElement(type_facet);
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);
/* ------------------------------------------------------------------------ */
/* End of facet part */
/* ------------------------------------------------------------------------ */
/// compute quadrature points position of the elements
UInt nb_quad_per_element = model.getFEEngine().getNbIntegrationPoints(type);
UInt nb_element = mesh.getNbElement(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));
Array<Real>::iterator<Matrix<Real>> stress_it =
stress.begin(spatial_dimension, spatial_dimension);
for (UInt q = 0; q < nb_tot_quad_el; ++q, ++stress_it) {
/// compute values
for (UInt i = 0; i < spatial_dimension; ++i) {
for (UInt j = i; j < spatial_dimension; ++j) {
UInt index = i * spatial_dimension + j;
(*stress_it)(i, j) =
index * function(sigma_c * 5, quad_elements(q, 0),
quad_elements(q, 1), quad_elements(q, 2));
}
}
/// fill symmetrical part
for (UInt i = 0; i < spatial_dimension; ++i) {
for (UInt j = 0; j < i; ++j) {
(*stress_it)(i, j) = (*stress_it)(j, i);
}
}
}
/// compute stress on facet quads
Array<Real> stress_facets(nb_tot_quad, spatial_dimension * spatial_dimension);
Array<Real>::iterator<Matrix<Real>> stress_facets_it =
stress_facets.begin(spatial_dimension, spatial_dimension);
for (UInt q = 0; q < nb_tot_quad; ++q, ++stress_facets_it) {
/// compute values
for (UInt i = 0; i < spatial_dimension; ++i) {
for (UInt j = i; j < spatial_dimension; ++j) {
UInt index = i * spatial_dimension + j;
(*stress_facets_it)(i, j) =
index * function(sigma_c * 5, quad_facets(q, 0), quad_facets(q, 1),
quad_facets(q, 2));
}
}
/// fill symmetrical part
for (UInt i = 0; i < spatial_dimension; ++i) {
for (UInt j = 0; j < i; ++j) {
(*stress_facets_it)(i, j) = (*stress_facets_it)(j, i);
}
}
}
/// insert cohesive elements
model.checkCohesiveStress();
/// check insertion stress
const Array<Real> & normals = model.getFEEngine("FacetsFEEngine")
.getNormalsOnIntegrationPoints(type_facet);
const Array<Real> & tangents = model.getTangents(type_facet);
const Array<Real> & sigma_c_eff =
mat_cohesive.getInsertionTraction(type_cohesive);
Vector<Real> normal_stress(spatial_dimension);
const Array<std::vector<Element>> & coh_element_to_facet =
mesh_facets.getElementToSubelement(type_facet);
Array<Real>::iterator<Matrix<Real>> quad_facet_stress =
stress_facets.begin(spatial_dimension, spatial_dimension);
Array<Real>::const_iterator<Vector<Real>> quad_normal =
normals.begin(spatial_dimension);
Array<Real>::const_iterator<Vector<Real>> quad_tangents =
tangents.begin(tangents.getNbComponent());
for (UInt f = 0; f < nb_facet; ++f) {
const Element & cohesive_element = coh_element_to_facet(f)[1];
for (UInt q = 0; q < nb_quad_per_facet;
++q, ++quad_facet_stress, ++quad_normal, ++quad_tangents) {
if (cohesive_element == ElementNull)
continue;
normal_stress.mul<false>(*quad_facet_stress, *quad_normal);
Real normal_contrib = normal_stress.dot(*quad_normal);
Real first_tangent_contrib = 0;
for (Int dim = 0; dim < spatial_dimension; ++dim)
first_tangent_contrib += normal_stress(dim) * (*quad_tangents)(dim);
Real second_tangent_contrib = 0;
for (Int dim = 0; dim < spatial_dimension; ++dim)
second_tangent_contrib +=
normal_stress(dim) * (*quad_tangents)(dim + spatial_dimension);
Real tangent_contrib =
std::sqrt(first_tangent_contrib * first_tangent_contrib +
second_tangent_contrib * second_tangent_contrib);
normal_contrib = std::max(0., normal_contrib);
Real effective_norm =
std::sqrt(normal_contrib * normal_contrib +
tangent_contrib * tangent_contrib / beta / beta);
if (effective_norm < sigma_c)
continue;
if (!Math::are_float_equal(
effective_norm,
sigma_c_eff(cohesive_element.element * nb_quad_per_facet + q))) {
std::cout << "Insertion tractions do not match" << std::endl;
finalize();
return EXIT_FAILURE;
}
}
}
finalize();
std::cout << "OK: test_cohesive_extrinsic was passed!" << std::endl;
return EXIT_SUCCESS;
}
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