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rAKA/src/model/phase_field/phasefields/phasefield_exponential_inline_impl.hh
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phasefield_exponential_inline_impl.hh
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/**
* Copyright (©) 2022-2023 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 "phasefield_exponential.hh"
#include <algorithm>
namespace akantu {
/* -------------------------------------------------------------------------- */
template <Int dim>
inline void PhaseFieldExponential<dim>::computeDissipatedEnergyOnQuad(
const Real & dam, const Vector<Real> & grad_d, Real & edis,
Real & g_c_quad) {
edis = 0.;
for (auto i : arange(dim)) {
edis += 0.5 * g_c_quad * this->l0 * grad_d[i] * grad_d[i];
}
edis += g_c_quad * dam * dam / (2. * this->l0);
}
/* -------------------------------------------------------------------------- */
template <Int dim>
inline void PhaseFieldExponential<dim>::computeDamageEnergyDensityOnQuad(
const Real & phi_quad, Real & dam_energy_quad, const Real & g_c_quad) {
dam_energy_quad = 2.0 * phi_quad + g_c_quad / this->l0;
}
/* -------------------------------------------------------------------------- */
template <Int dim>
inline void
PhaseFieldExponential<dim>::computePhiOnQuad(const Matrix<Real> & strain_quad,
Real & phi_quad, Real & phi_hist_quad) {
Real trace = strain_quad.trace();
Real trace_plus = std::max(Real(0.), trace);
Matrix<Real> strain_dev = Matrix<Real>::Zero(dev_dim, dev_dim);
Matrix<Real> strain_tmp = Matrix<Real>::Zero(dev_dim, dev_dim);
strain_tmp.topLeftCorner(dim, dim) = strain_quad;
strain_dev = strain_tmp -
trace / Real(dev_dim) * Matrix<Real>::Identity(dev_dim, dev_dim);
Real kpa = this->lambda + 2. * this->mu / Real(dev_dim);
phi_quad = 0.5 * kpa * trace_plus * trace_plus +
this->mu * strain_dev.doubleDot(strain_dev);
if (phi_quad < phi_hist_quad) {
phi_quad = phi_hist_quad;
}
}
/* -------------------------------------------------------------------------- */
template <Int dim>
inline void PhaseFieldExponential<dim>::computePhiIsotropicOnQuad(
const Matrix<Real> & strain_quad, Real & phi_quad, Real & phi_hist_quad) {
Real trace = strain_quad.trace();
phi_quad = 0.5 * this->lambda * trace * trace +
this->mu * strain_quad.doubleDot(strain_quad);
if (phi_quad < phi_hist_quad) {
phi_quad = phi_hist_quad;
}
}
} // namespace akantu
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