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material_phasefield_inline_impl.hh
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material_phasefield_inline_impl.hh
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/**
* Copyright (©) 2010-2023 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 "material_phasefield.hh"
#ifndef AKANTU_MATERIAL_PHASEFIELD_INLINE_IMPL_HH_
#define AKANTU_MATERIAL_PHASEFIELD_INLINE_IMPL_HH_
/* -------------------------------------------------------------------------- */
namespace akantu {
template <Int dim>
template <class Args>
inline void MaterialPhaseField<dim>::computeStressOnQuad(Args && args) {
MaterialElastic<dim>::computeStressOnQuad(args);
auto && dam = args["damage"_n];
args["sigma"_n] *= (1 - dam) * (1 - dam) + eta;
}
/* -------------------------------------------------------------------------- */
template <Int dim>
template <class Args>
void MaterialPhaseField<dim>::computeTangentModuliOnQuad(Args && args) {
MaterialElastic<dim>::computeTangentModuliOnQuad(args);
auto dam = args["damage"_n];
args["tangent_moduli"_n] *= (1 - dam) * (1 - dam) + eta;
}
/* -------------------------------------------------------------------------- */
template <Int dim>
template <class Args>
inline void
MaterialPhaseField<dim>::computeEffectiveDamageOnQuad(Args && args) {
using Mat = Matrix<Real, dim, dim>;
auto strain = Material::gradUToEpsilon<dim>(args["grad_u"_n]);
Mat strain_dir;
Vector<Real, dim> strain_values;
strain.eig(strain_values, strain_dir);
Mat strain_diag_plus;
Mat strain_diag_minus;
strain_diag_plus.zero();
strain_diag_minus.zero();
for (UInt i = 0; i < dim; i++) {
strain_diag_plus(i, i) = std::max(Real(0.), strain_values(i));
strain_diag_minus(i, i) = std::min(Real(0.), strain_values(i));
}
Mat strain_plus = strain_dir * strain_diag_plus * strain_dir.transpose();
Mat strain_minus = strain_dir * strain_diag_minus * strain_dir.transpose();
auto trace_plus = std::max(Real(0.), strain.trace());
auto trace_minus = std::min(Real(0.), strain.trace());
Mat sigma_plus =
Mat::Identity() * trace_plus * this->lambda + 2. * this->mu * strain_plus;
Mat sigma_minus = Mat::Identity() * trace_minus * this->lambda +
2. * this->mu * strain_minus;
auto strain_energy_plus = sigma_plus.doubleDot(strain_plus) / 2.;
auto strain_energy_minus = sigma_minus.doubleDot(strain_minus) / 2.;
args["effective_damage"_n] =
args["damage"_n] * (strain_energy_minus < strain_energy_plus);
}
} // namespace akantu
#endif

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