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rAKA/src/model/solid_mechanics/materials/material_damage/material_phasefield_inline_impl.cc
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material_phasefield_inline_impl.cc
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/**
* @file material_phasefield_inline_impl.cc
*
* @author Mohit Pundir <mohit.pundir@epfl.ch>
*
* @date creation: Wed Oct 02 2018
* @date last modification: Wed Oct 02 2018
*
* @brief Implementation of the inline functions of the material phasefield
*
* @section LICENSE
*
* Copyright (©) 2010-2018 EPFL (Ecole Polytechnique Fédérale de Lausanne)
* Laboratory (LSMS - Laboratoire de Simulation en Mécanique des Solides)
*
* 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/>.
*
*/
/* -------------------------------------------------------------------------- */
template<UInt spatial_dimension>
inline void MaterialPhaseField<spatial_dimension>::computeStressOnQuad(
Matrix<Real> & grad_u, Matrix<Real> & sigma, Real & dam) {
MaterialElastic<spatial_dimension>::computeStressOnQuad(grad_u, sigma);
Matrix<Real> strain( spatial_dimension, spatial_dimension);
Matrix<Real> strain_plus( spatial_dimension, spatial_dimension);
Matrix<Real> strain_minus( spatial_dimension, spatial_dimension);
Matrix<Real> strain_dir( spatial_dimension, spatial_dimension);
Matrix<Real> strain_diag_plus( spatial_dimension, spatial_dimension);
Matrix<Real> strain_diag_minus(spatial_dimension, spatial_dimension);
Vector<Real> strain_values(spatial_dimension);
Real trace_plus, trace_minus;
this->template gradUToEpsilon<spatial_dimension>(grad_u, strain);
strain.eig(strain_values, strain_dir);
for (UInt i=0; i < spatial_dimension; 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));
}
Matrix<Real> mat_tmp( spatial_dimension, spatial_dimension);
Matrix<Real> sigma_plus( spatial_dimension, spatial_dimension);
Matrix<Real> sigma_minus(spatial_dimension, spatial_dimension);
mat_tmp.mul<false,true>(strain_diag_plus, strain_dir);
strain_plus.mul<false, false>(strain_dir, mat_tmp);
mat_tmp.mul<false, true>(strain_diag_minus, strain_dir);
strain_minus.mul<false, true>(strain_dir, mat_tmp);
trace_plus = std::max(Real(0.), strain.trace());
trace_minus = std::min(Real(0.), strain.trace());
Real lambda = MaterialElastic<spatial_dimension>::getLambda();
Real mu = MaterialElastic<spatial_dimension>::getMu();
for (UInt i=0; i < spatial_dimension; i++) {
for (UInt j=0; j < spatial_dimension; j++) {
sigma_plus(i, j) = (i==j) * lambda * trace_plus
+ 2 * mu * strain_plus(i, j);
sigma_minus(i, j) = (i==j) * lambda * trace_minus
+ 2 * mu * strain_minus(i, j);
}
}
//sigma = (1 - dam) * sigma_plus + sigma_minus;
sigma *= (1- dam)*(1-dam) + eta;
}
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