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test_solid_mechanics_model_boundary_condition.cc
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test_solid_mechanics_model_boundary_condition.cc
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/**
* @file test_solid_mechanics_model_boundary_condition.cc
*
* @author Dana Christen <dana.christen@epfl.ch>
* @author Lucas Frérot <lucas.frerot@epfl.ch>
*
* @date creation: Fri May 03 2013
* @date last modification: Thu Feb 11 2016
*
* @brief Test of the boundary condition functors and PBC
*
* @section LICENSE
*
* Copyright (©) 2014, 2015 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 <iostream>
#include "aka_common.hh"
#include "solid_mechanics_model.hh"
using namespace akantu;
/* -------------------------------------------------------------------------- */
int main(int argc, char* argv[])
{
UInt spatial_dimension(3);
initialize("material.dat", argc, argv);
Mesh mesh(spatial_dimension, "mesh_names");
mesh.read("cube1.msh");
mesh.createGroupsFromMeshData<std::string>("physical_names");
const Array<UInt> & nodes = mesh.getElementGroup("Bottom").getNodes();
Array<UInt>::const_scalar_iterator
n_it = nodes.begin(),
n_end = nodes.end();
SolidMechanicsModel model(mesh);
model.setPBC(1, 0, 0);
model.initFull(SolidMechanicsModelOptions(_static));
Array<Real> & force = model.getForce();
/// Testing FromTraction functor
Real traction_ptr[] = {0, 0, 1};
Vector<Real> surface_traction(traction_ptr, spatial_dimension);
model.applyBC(BC::Neumann::FromTraction(surface_traction), "Bottom");
Real total_force = 0;
for (; n_it != n_end ; ++n_it) {
if (!model.isPBCSlaveNode(*n_it) && !(force(*n_it, 2) > 0)) {
std::cout << "FromTraction" << std::endl;
return EXIT_FAILURE;
}
total_force += force(*n_it, 2);
}
Math::setTolerance(1e-14);
if (!Math::are_float_equal(total_force, 1)) {
std::cout << "Force balance " << total_force << " != 1" << std::endl;
return EXIT_FAILURE;
}
// Copy force vector
Array<Real> force_traction = force;
force.set(0.);
/* -------------------------------------------------------------------------- */
/// Testing FromHigherDim functor
Real stress_ptr[] = {0, 0, 0,
0, 0, 0,
0, 0, 1};
Matrix<Real> surface_stress(stress_ptr, spatial_dimension, spatial_dimension);
model.applyBC(BC::Neumann::FromHigherDim(surface_stress), "Bottom");
n_it = nodes.begin();
for (; n_it != n_end ; ++n_it) {
if (!Math::are_float_equal(force(*n_it, 2), force_traction(*n_it, 2))) {
std::cout << "FromHigherDim" << std::endl;
return EXIT_FAILURE;
}
}
/* -------------------------------------------------------------------------- */
// Testing the periodic boundary conditions
const Array<UInt> & xmin_nodes = mesh.getElementGroup("XMin").getNodes();
const Array<UInt> & xmax_nodes = mesh.getElementGroup("XMax").getNodes();
const Array<bool> & boundary = model.getBlockedDOFs();
// Checking boundary on master and slave nodes
n_it = xmin_nodes.begin();
for (; n_it != xmin_nodes.end() ; ++n_it) {
if (!model.isPBCSlaveNode(*n_it)) {
for (UInt i = 0 ; i < spatial_dimension ; i++) {
if (boundary(*n_it, i)) {
std::cout << "PBC XMin : boundary on master node" << std::endl;
return EXIT_FAILURE;
}
}
} else {
for (UInt i = 0 ; i < spatial_dimension ; i++) {
if (!boundary(*n_it, i)) {
std::cout << "PBC XMin : no boundary on slave node" << std::endl;
return EXIT_FAILURE;
}
}
}
}
n_it = xmax_nodes.begin();
for (; n_it != xmax_nodes.end() ; ++n_it) {
if (!model.isPBCSlaveNode(*n_it)) {
for (UInt i = 0 ; i < spatial_dimension ; i++) {
if (boundary(*n_it, i)) {
std::cout << "PBC XMax : boundary on master node" << std::endl;
return EXIT_FAILURE;
}
}
} else {
for (UInt i = 0 ; i < spatial_dimension ; i++) {
if (!boundary(*n_it, i)) {
std::cout << "PBC XMax : no boundary on slave node" << std::endl;
return EXIT_FAILURE;
}
}
}
}
/* -------------------------------------------------------------------------- */
/// Testing dirichlet BC functor
model.applyBC(BC::Dirichlet::FixedValue(13.0, _x), "Bottom");
model.applyBC(BC::Dirichlet::FixedValue(13.0, _y), "Bottom");
model.applyBC(BC::Dirichlet::FixedValue(13.0, _z), "Bottom");
Array<Real> & displacement = model.getDisplacement();
n_it = nodes.begin();
for (; n_it != n_end ; ++n_it) {
for (UInt i = 0 ; i < spatial_dimension ; i++) {
if (!boundary(*n_it, i) ||
std::abs(displacement(*n_it, i) - 13.0) > Math::getTolerance()) {
std::cout << "FixedValue" << std::endl;
return EXIT_FAILURE;
}
}
}
/* -------------------------------------------------------------------------- */
model.assembleStiffnessMatrix();
finalize();
return EXIT_SUCCESS;
}

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