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local_material_damage_inline_impl.hh
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local_material_damage_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 "local_material_damage.hh" // NOLINT
/* -------------------------------------------------------------------------- */
#ifndef AKANTU_LOCAL_MATERIAL_DAMAGE_INLINE_IMPL_HH__
#define AKANTU_LOCAL_MATERIAL_DAMAGE_INLINE_IMPL_HH__
namespace akantu {
/* -------------------------------------------------------------------------- */
template <class D1, class D2>
inline void LocalMaterialDamage::computeStressOnQuad(
Eigen::MatrixBase<D1> & grad_u, Eigen::MatrixBase<D2> & sigma, Real & dam) {
Real trace = grad_u.trace();
/// \sigma_{ij} = \lambda * (\nabla u)_{kk} * \delta_{ij} + \mu * (\nabla
/// u_{ij} + \nabla u_{ji})
auto && epsilon = (grad_u + grad_u.transpose()) / 2.;
sigma = Matrix<Real>::Identity(spatial_dimension, spatial_dimension) * trace *
lambda +
mu * epsilon;
Real Y = sigma.doubleDot(epsilon) / 2.;
Real Fd = Y - Yd - Sd * dam;
if (Fd > 0) {
dam = (Y - Yd) / Sd;
}
dam = std::min(dam, 1.);
sigma *= 1 - dam;
}
/* -------------------------------------------------------------------------- */
template <class D1, class D2>
inline void LocalMaterialDamage::computePotentialEnergyOnQuad(
Eigen::MatrixBase<D1> & grad_u, Eigen::MatrixBase<D2> & sigma,
Real & epot) {
epot = sigma.doubleDot(grad_u) / 2.;
}
/* -------------------------------------------------------------------------- */
inline Real
LocalMaterialDamage::getCelerity(const Element & /*element*/) const {
return (std::sqrt(E / rho));
}
} // namespace akantu
#endif /* AKANTU_LOCAL_MATERIAL_DAMAGE_INLINE_IMPL_HH__ */

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