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phase_field_notch.cc
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Fri, Nov 15, 15:00

phase_field_notch.cc
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/* -------------------------------------------------------------------------- */
#include "non_linear_solver.hh"
#include "phase_field_model.hh"
#include "solid_mechanics_model.hh"
#include "coupler_solid_phasefield.hh"
/* -------------------------------------------------------------------------- */
#include <iostream>
/* -------------------------------------------------------------------------- */
using namespace akantu;
const UInt spatial_dimension = 2;
void computeStrainOnQuadPoints(SolidMechanicsModel &, PhaseFieldModel &,
const GhostType &);
void computeDamageOnQuadPoints(SolidMechanicsModel &, PhaseFieldModel &,
const GhostType &);
void gradUToEpsilon(const Matrix<Real> &, Matrix<Real> &);
bool testConvergence(SolidMechanicsModel &, PhaseFieldModel &, Array<Real> &,
Array<Real> &, Array<Real> &, Array<Real> &);
/* -------------------------------------------------------------------------- */
int main(int argc, char *argv[])
{
initialize("material_notch.dat", argc, argv);
// create mesh
Mesh mesh(spatial_dimension);
mesh.read("square_notch.msh");
PhaseFieldModel phasefield(mesh);
phasefield.initFull(_analysis_method = _static);
SolidMechanicsModel solid(mesh);
solid.initFull(_analysis_method = _static);
solid.applyBC(BC::Dirichlet::FixedValue(0., _y), "bottom");
solid.applyBC(BC::Dirichlet::FixedValue(0., _x), "left");
solid.setBaseName( "square_notch_modified");
solid.addDumpFieldVector( "displacement");
solid.addDumpFieldVector( "internal_force");
solid.addDumpField( "stress");
solid.addDumpField( "grad_u");
solid.addDumpField( "damage");
solid.addDumpField( "blocked_dofs");
solid.dump();
UInt nbSteps = 1000;
Real increment = 1.e-5;
solid.getNewSolver("solid_linear", TimeStepSolverType::_static,
NonLinearSolverType::_linear);
solid.setIntegrationScheme("solid_linear", "displacement",
IntegrationSchemeType::_pseudo_time);
phasefield.getNewSolver("phase_linear", TimeStepSolverType::_static,
NonLinearSolverType::_linear);
phasefield.setIntegrationScheme("phase_linear", "damage",
IntegrationSchemeType::_pseudo_time);
solid.setDefaultSolver("solid_linear");
phasefield.setDefaultSolver("phase_linear");
for (UInt s = 1; s < nbSteps; ++s) {
solid.applyBC(BC::Dirichlet::IncrementValue(increment, _y), "top");
solid.solveStep();
computeStrainOnQuadPoints(solid, phasefield, _not_ghost);
phasefield.solveStep();
computeDamageOnQuadPoints(solid, phasefield, _not_ghost);
if (s % 50 == 0) {
solid.dump();
}
std::cout << "Step " << s << "/" << nbSteps << std::endl;
}
finalize();
return EXIT_SUCCESS;
}
/* -------------------------------------------------------------------------- */
bool testConvergence(SolidMechanicsModel &solid, PhaseFieldModel &phase,
Array<Real> &u_new, Array<Real> &u_old, Array<Real> &d_new,
Array<Real> &d_old) {
Real tolerance = 1e-8;
Real norm_u = 0;
Real norm_d = 0;
UInt nb_degree_of_freedom = u_new.size();
const Array<bool> &blocked_dofs = solid.getBlockedDOFs();
for (auto &&values : zip(make_view(blocked_dofs, 1), make_view(u_new, 1),
make_view(u_old, 1))) {
auto &bld = std::get<0>(values);
auto &u_n = std::get<1>(values);
auto &u_o = std::get<2>(values);
if (!bld[0]) {
norm_u += (u_n[0] - u_o[0]) * (u_n[0] - u_o[0]);
}
}
auto d_n_it = d_new.begin();
auto d_o_it = d_old.begin();
nb_degree_of_freedom = d_new.size();
for (UInt i = 0; i < nb_degree_of_freedom; ++i) {
norm_d += (*d_n_it - *d_o_it);
}
norm_u = std::sqrt(norm_u);
norm_d = std::sqrt(norm_d);
std::cerr << norm_u << "--------" << norm_d << std::endl;
Real error = std::max(norm_u, norm_d);
if (error < tolerance) {
return true;
}
return false;
}
/* -------------------------------------------------------------------------- */
void computeStrainOnQuadPoints(SolidMechanicsModel &solid,
PhaseFieldModel &phase,
const GhostType &ghost_type) {
AKANTU_DEBUG_IN();
auto &mesh = solid.getMesh();
auto &strain_on_qpoints = phase.getStrain();
auto &gradu_on_qpoints = solid.getMaterial(0).getGradU();
for (auto &type : mesh.elementTypes(spatial_dimension, ghost_type)) {
auto &strain_on_qpoints_vect = strain_on_qpoints(type, ghost_type);
auto &gradu_on_qpoints_vect = gradu_on_qpoints(type, ghost_type);
for (auto &&values : zip(make_view(strain_on_qpoints_vect,
spatial_dimension, spatial_dimension),
make_view(gradu_on_qpoints_vect, spatial_dimension,
spatial_dimension))) {
auto &strain = std::get<0>(values);
auto &grad_u = std::get<1>(values);
gradUToEpsilon(grad_u, strain);
}
}
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
void computeDamageOnQuadPoints(SolidMechanicsModel &solid,
PhaseFieldModel &phase,
const GhostType &ghost_type) {
AKANTU_DEBUG_IN();
auto &fem = phase.getFEEngine();
auto &mesh = phase.getMesh();
switch (spatial_dimension) {
case 1: {
auto &mat = static_cast<MaterialPhaseField<1> &>(solid.getMaterial(0));
auto &damage = mat.getDamage();
for (auto &type : mesh.elementTypes(spatial_dimension, ghost_type)) {
auto &damage_on_qpoints_vect = damage(type, ghost_type);
fem.interpolateOnIntegrationPoints(
phase.getDamage(), damage_on_qpoints_vect, 1, type, ghost_type);
}
break;
}
case 2: {
auto &mat = static_cast<MaterialPhaseField<2> &>(solid.getMaterial(0));
auto &damage = mat.getDamage();
for (auto &type : mesh.elementTypes(spatial_dimension, ghost_type)) {
auto &damage_on_qpoints_vect = damage(type, ghost_type);
fem.interpolateOnIntegrationPoints(
phase.getDamage(), damage_on_qpoints_vect, 1, type, ghost_type);
}
break;
}
default:
auto &mat = static_cast<MaterialPhaseField<3> &>(solid.getMaterial(0));
break;
}
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
void gradUToEpsilon(const Matrix<Real> &grad_u, Matrix<Real> &epsilon) {
for (UInt i = 0; i < spatial_dimension; ++i) {
for (UInt j = 0; j < spatial_dimension; ++j)
epsilon(i, j) = 0.5 * (grad_u(i, j) + grad_u(j, i));
}
}

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