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test_solid_mechanics_model_bar_traction2d.cc
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test_solid_mechanics_model_bar_traction2d.cc

/**
* @file test_solid_mechanics_model.cc
* @author Nicolas Richart <nicolas.richart@epfl.ch>
* @date Tue Jul 27 14:34:13 2010
*
* @brief test of the class SolidMechanicsModel
*
* @section LICENSE
*
* <insert license here>
*
*/
/* -------------------------------------------------------------------------- */
#include <limits>
#include <fstream>
/* -------------------------------------------------------------------------- */
#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.h"
#endif //AKANTU_USE_IOHELPER
#define CHECK_STRESS
int main(int argc, char *argv[])
{
akantu::UInt spatial_dimension = 2;
akantu::UInt max_steps = 10000;
akantu::Real time_factor = 0.2;
// akantu::Real epot, ekin;
akantu::Mesh mesh(spatial_dimension);
akantu::MeshIOMSH mesh_io;
mesh_io.read("bar.msh", mesh);
akantu::SolidMechanicsModel * model = new akantu::SolidMechanicsModel(mesh);
akantu::UInt nb_nodes = model->getFEM().getMesh().getNbNodes();
akantu::UInt nb_element = model->getFEM().getMesh().getNbElement(akantu::_triangle_1);
/// model initialization
model->initVectors();
/// set vectors to 0
memset(model->getForce().values, 0,
spatial_dimension*nb_nodes*sizeof(akantu::Real));
memset(model->getVelocity().values, 0,
spatial_dimension*nb_nodes*sizeof(akantu::Real));
memset(model->getAcceleration().values, 0,
spatial_dimension*nb_nodes*sizeof(akantu::Real));
memset(model->getDisplacement().values, 0,
spatial_dimension*nb_nodes*sizeof(akantu::Real));
model->readMaterials("material.dat");
model->initMaterials();
model->initModel();
std::cout << model->getMaterial(0) << std::endl;
model->assembleMass();
#ifdef AKANTU_USE_IOHELPER
/// set to 0 only for the first paraview dump
memset(model->getResidual().values, 0,
spatial_dimension*nb_nodes*sizeof(akantu::Real));
memset(model->getMaterial(0).getStrain(akantu::_triangle_1).values, 0,
spatial_dimension*spatial_dimension*nb_element*sizeof(akantu::Real));
memset(model->getMaterial(0).getStress(akantu::_triangle_1).values, 0,
spatial_dimension*spatial_dimension*nb_element*sizeof(akantu::Real));
#endif //AKANTU_USE_IOHELPER
/// boundary conditions
akantu::Real eps = 1e-16;
for (akantu::UInt i = 0; i < nb_nodes; ++i) {
if(model->getFEM().getMesh().getNodes().values[spatial_dimension*i] >= 9)
model->getDisplacement().values[spatial_dimension*i] = (model->getFEM().getMesh().getNodes().values[spatial_dimension*i] - 9) / 100. ;
if(model->getFEM().getMesh().getNodes().values[spatial_dimension*i] <= eps)
model->getBoundary().values[spatial_dimension*i] = true;
if(model->getFEM().getMesh().getNodes().values[spatial_dimension*i + 1] <= eps ||
model->getFEM().getMesh().getNodes().values[spatial_dimension*i + 1] >= 1 - eps ) {
model->getBoundary().values[spatial_dimension*i + 1] = true;
}
}
akantu::Real time_step = model->getStableTimeStep() * time_factor;
std::cout << "Time Step = " << time_step << "s" << std::endl;
model->setTimeStep(time_step);
// model->setTimeStep(3.54379e-07);
#ifdef AKANTU_USE_IOHELPER
DumperParaview dumper;
dumper.SetMode(TEXT);
dumper.SetPoints(model->getFEM().getMesh().getNodes().values,
spatial_dimension, nb_nodes, "coordinates");
dumper.SetConnectivity((int *)model->getFEM().getMesh().getConnectivity(akantu::_triangle_1).values,
TRIANGLE1, nb_element, C_MODE);
dumper.AddNodeDataField(model->getDisplacement().values,
spatial_dimension, "displacements");
dumper.AddNodeDataField(model->getVelocity().values,
spatial_dimension, "velocity");
dumper.AddNodeDataField(model->getResidual().values,
spatial_dimension, "force");
dumper.AddElemDataField(model->getMaterial(0).getStrain(akantu::_triangle_1).values,
spatial_dimension*spatial_dimension, "strain");
dumper.AddElemDataField(model->getMaterial(0).getStress(akantu::_triangle_1).values,
spatial_dimension*spatial_dimension, "stress");
dumper.SetEmbeddedValue("displacements", 1);
dumper.SetPrefix("paraview/");
dumper.Init();
dumper.Dump();
#endif //AKANTU_USE_IOHELPER
#ifdef CHECK_STRESS
std::ofstream outfile;
outfile.open("stress");
#endif // CHECK_STRESS
model->setPotentialEnergyFlagOn();
for(akantu::UInt s = 1; s <= max_steps; ++s) {
model->explicitPred();
model->updateResidual();
model->updateAcceleration();
model->explicitCorr();
// epot = model->getPotentialEnergy();
// ekin = model->getKineticEnergy();
// std::cout << s << " " << epot << " " << ekin << " " << epot + ekin
// << std::endl;
#ifdef CHECK_STRESS
akantu::Real max_stress = std::numeric_limits<akantu::Real>::min();
akantu::UInt max_el = 0;
akantu::Real * stress = model->getMaterial(0).getStress(akantu::_triangle_1).values;
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];
max_el = i;
}
}
akantu::Real * coord = model->getFEM().getMesh().getNodes().values;
akantu::Real * disp_val = model->getDisplacement().values;
akantu::UInt * conn = model->getFEM().getMesh().getConnectivity(akantu::_triangle_1).values;
akantu::UInt nb_nodes_per_element = model->getFEM().getMesh().getNbNodesPerElement(akantu::_triangle_1);
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) dumper.Dump();
#endif //AKANTU_USE_IOHELPER
if(s % 10 == 0) std::cout << "passing step " << s << "/" << max_steps << std::endl;
}
#ifdef CHECK_STRESS
outfile.close();
#endif // CHECK_STRESS
return EXIT_SUCCESS;
}

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