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rAKA/test/test_model/test_phase_field_model/test_phase_field_anisotropic.cc
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test_phase_field_anisotropic.cc
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/**
* Copyright (©) 2021-2023 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 "aka_common.hh"
#include "coupler_solid_phasefield.hh"
#include "material.hh"
#include "material_phasefield.hh"
#include "non_linear_solver.hh"
#include "phase_field_model.hh"
#include "solid_mechanics_model.hh"
/* -------------------------------------------------------------------------- */
#include <cmath>
#include <fstream>
#include <iostream>
/* -------------------------------------------------------------------------- */
using namespace akantu;
const UInt spatial_dimension = 2;
/* -------------------------------------------------------------------------- */
void applyDisplacement(SolidMechanicsModel &, Real &);
/* -------------------------------------------------------------------------- */
int main(int argc, char * argv[]) {
std::ofstream os("data.csv");
os << "#strain stress damage analytical_sigma analytical_damage" << std::endl;
initialize("material_hybrid.dat", argc, argv);
Mesh mesh(spatial_dimension);
mesh.read("test_one_element.msh");
CouplerSolidPhaseField coupler(mesh);
auto & model = coupler.getSolidMechanicsModel();
auto & phase = coupler.getPhaseFieldModel();
model.initFull(_analysis_method = _static);
auto && selector = std::make_shared<MeshDataPhaseFieldSelector<std::string>>(
"physical_names", phase);
phase.setPhaseFieldSelector(selector);
phase.initFull(_analysis_method = _static);
model.setBaseName("phase_solid");
model.addDumpField("stress");
model.addDumpField("grad_u");
model.addDumpFieldVector("displacement");
model.addDumpField("damage");
model.dump();
UInt nbSteps = 1500;
Real increment = 1e-4;
auto & stress = model.getMaterial(0).getArray<Real>("stress", _quadrangle_4);
auto & damage = model.getMaterial(0).getArray<Real>("damage", _quadrangle_4);
Real analytical_damage{0.};
Real analytical_sigma{0.};
auto & phasefield = phase.getPhaseField(0);
const Real E = phasefield.getParam("E");
const Real nu = phasefield.getParam("nu");
Real c22 = E * (1 - nu) / ((1 + nu) * (1 - 2 * nu));
const Real gc = phasefield.getParam("gc");
const Real l0 = phasefield.getParam("l0");
Real error_stress{0.};
Real error_damage{0.};
Real max_strain{0.};
for (UInt s = 0; s < nbSteps; ++s) {
Real axial_strain{0.};
if (s < 500) {
axial_strain = increment * s;
} else if (s < 1000) {
axial_strain = (1500 - 2 * double(s)) * increment;
} else {
axial_strain = (3 * double(s) - 3500) * increment;
}
applyDisplacement(model, axial_strain);
if (axial_strain > max_strain) {
max_strain = axial_strain;
}
coupler.solve("static", "static");
analytical_damage = max_strain * max_strain * c22 /
(gc / l0 + max_strain * max_strain * c22);
if (axial_strain < 0.) {
analytical_sigma = c22 * axial_strain;
} else {
analytical_sigma = c22 * axial_strain * (1 - analytical_damage) *
(1 - analytical_damage);
}
error_stress =
std::abs(analytical_sigma - stress(0, 3)) / std::abs(analytical_sigma);
error_damage = std::abs(analytical_damage - damage(0)) / analytical_damage;
if ((error_damage > 1e-8 or error_stress > 1e-8) and
std::abs(axial_strain) > 1e-13) {
std::cerr << std::left << std::setw(15)
<< "Error damage: " << error_damage << std::endl;
std::cerr << std::left << std::setw(15)
<< "Error stress: " << error_stress << std::endl;
return EXIT_FAILURE;
}
os << axial_strain << " " << stress(0, 3) << " " << damage(0) << " "
<< analytical_sigma << " " << analytical_damage << " " << error_stress
<< " " << error_damage << std::endl;
model.dump();
}
os.close();
finalize();
return EXIT_SUCCESS;
}
/* -------------------------------------------------------------------------- */
void applyDisplacement(SolidMechanicsModel & model, Real & increment) {
auto & displacement = model.getDisplacement();
auto & positions = model.getMesh().getNodes();
auto & blocked_dofs = model.getBlockedDOFs();
for (Idx n = 0; n < model.getMesh().getNbNodes(); ++n) {
if (positions(n, 1) == -0.5) {
displacement(n, 0) = 0;
displacement(n, 1) = 0;
blocked_dofs(n, 0) = true;
blocked_dofs(n, 1) = true;
} else {
displacement(n, 0) = 0;
displacement(n, 1) = increment;
blocked_dofs(n, 0) = true;
blocked_dofs(n, 1) = true;
}
}
}
/* -------------------------------------------------------------------------- */
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