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rAKA/test/test_model/test_solid_mechanics_model/test_solid_mechanics_model_bar_traction2d.cc
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test_solid_mechanics_model_bar_traction2d.cc
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/**
* @file test_solid_mechanics_model_bar_traction2d.cc
*
* @author Nicolas Richart <nicolas.richart@epfl.ch>
*
* @date creation: Fri Sep 03 2010
* @date last modification: Tue Sep 02 2014
*
* @brief test of the class SolidMechanicsModel
*
* @section LICENSE
*
* Copyright (©) 2010-2012, 2014 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 <limits>
#include <fstream>
#include <iostream>
/* -------------------------------------------------------------------------- */
#include "aka_common.hh"
#include "mesh.hh"
#include "mesh_io.hh"
#include "mesh_io_msh.hh"
#include "solid_mechanics_model.hh"
#include "material.hh"
/* -------------------------------------------------------------------------- */
#ifdef AKANTU_USE_IOHELPER
# include "io_helper.hh"
iohelper::ElemType paraview_type = iohelper::TRIANGLE2;
#endif //AKANTU_USE_IOHELPER
//#define CHECK_STRESS
akantu::ElementType type = akantu::_triangle_6;
akantu::SolidMechanicsModel * model;
akantu::UInt spatial_dimension = 2;
akantu::UInt nb_nodes;
akantu::UInt nb_element;
akantu::UInt nb_quadrature_points;
int main(int argc, char *argv[])
{
akantu::initialize("material.dat", argc, argv);
akantu::UInt max_steps = 5000;
akantu::Real time_factor = 0.8;
akantu::Mesh mesh(spatial_dimension);
mesh.read("bar2.msh");
akantu::SolidMechanicsModel model(mesh);
nb_nodes = mesh.getNbNodes();
nb_element = mesh.getNbElement(type);
/// model initialization
model.initFull();
std::cout << model.getMaterial(0) << std::endl;
model.initMaterials();
model.assembleMassLumped();
mesh.createGroupsFromMeshData<std::string>("physical_names");
/// boundary conditions
akantu::Real eps = 1e-16;
const akantu::Array<akantu::Real> & pos = mesh.getNodes();
akantu::Array<akantu::Real> & disp = model.getDisplacement();
akantu::Array<bool> & boun = model.getBlockedDOFs();
for (akantu::UInt i = 0; i < nb_nodes; ++i) {
if(pos(i, 0) >= 9.) disp(i, 0) = (pos(i, 0) - 9) / 100.;
if(pos(i) <= eps) boun(i, 0) = true;
if(pos(i, 1) <= eps || pos(i, 1) >= 1 - eps ) boun(i, 1) = true;
}
/// set the time step
akantu::Real time_step = model.getStableTimeStep() * time_factor;
std::cout << "Time Step = " << time_step << "s" << std::endl;
model.setTimeStep(time_step);
/// initialize the paraview output
model.updateResidual();
mesh.setBaseName("bar_traction_2d");
model.addDumpField("displacement");
model.addDumpField("mass" );
model.addDumpField("velocity" );
model.addDumpField("acceleration");
model.addDumpField("force" );
model.addDumpField("residual" );
model.addDumpFieldTensor("stress");
model.addDumpField("grad_u" );
model.addDumpGroupField("displacement","Top");
model.dumpGroup("Top");
model.dump();
#ifdef CHECK_STRESS
std::ofstream outfile;
outfile.open("stress");
#endif // CHECK_STRESS
std::ofstream energy;
energy.open("energy_bar_2d.csv");
energy << "id,rtime,epot,ekin,tot" << std::endl;
for(akantu::UInt s = 1; s <= max_steps; ++s) {
model.explicitPred();
model.updateResidual();
model.updateAcceleration();
model.explicitCorr();
akantu::Real epot = model.getPotentialEnergy();
akantu::Real ekin = model.getKineticEnergy();
energy << s << "," << (s-1)*time_step << "," << epot << "," << ekin << "," << epot + ekin
<< std::endl;
#ifdef CHECK_STRESS
/// search the position of the maximum of stress to determine the wave speed
akantu::Real max_stress = std::numeric_limits<akantu::Real>::min();
akantu::Real * stress = model.getMaterial(0).getStress(type).storage();
for (akantu::UInt i = 0; i < nb_element; ++i) {
if(max_stress < stress[i*spatial_dimension*spatial_dimension]) {
max_stress = stress[i*spatial_dimension*spatial_dimension];
}
}
akantu::Real * coord = model.getFEEngine().getMesh().getNodes().storage();
akantu::Real * disp_val = model.getDisplacement().storage();
akantu::UInt * conn = model.getFEEngine().getMesh().getConnectivity(type).storage();
akantu::UInt nb_nodes_per_element = model.getFEEngine().getMesh().getNbNodesPerElement(type);
akantu::Real * coords = new akantu::Real[spatial_dimension];
akantu::Real min_x = std::numeric_limits<akantu::Real>::max();
akantu::Real max_x = std::numeric_limits<akantu::Real>::min();
akantu::Real stress_range = 5e7;
for (akantu::UInt el = 0; el < nb_element; ++el) {
if(stress[el*spatial_dimension*spatial_dimension] > max_stress - stress_range) {
akantu::UInt el_offset = el * nb_nodes_per_element;
memset(coords, 0, spatial_dimension*sizeof(akantu::Real));
for (akantu::UInt n = 0; n < nb_nodes_per_element; ++n) {
for (akantu::UInt i = 0; i < spatial_dimension; ++i) {
akantu::UInt node = conn[el_offset + n] * spatial_dimension;
coords[i] += (coord[node + i] + disp_val[node + i])
/ ((akantu::Real) nb_nodes_per_element);
}
}
min_x = min_x < coords[0] ? min_x : coords[0];
max_x = max_x > coords[0] ? max_x : coords[0];
}
}
outfile << s << " " << .5 * (min_x + max_x) << " " << min_x << " " << max_x << " " << max_x - min_x << " " << max_stress << std::endl;
delete [] coords;
#endif // CHECK_STRESS
#ifdef AKANTU_USE_IOHELPER
if(s % 100 == 0) {
model.dump();
model.dumpGroup();
}
#endif //AKANTU_USE_IOHELPER
if(s % 100 == 0) std::cout << "passing step " << s << "/" << max_steps << std::endl;
}
energy.close();
#ifdef CHECK_STRESS
outfile.close();
#endif // CHECK_STRESS
akantu::finalize();
return EXIT_SUCCESS;
}
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