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material_orthotropic_damage_iterative_inline_impl.hh
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Tue, Jul 9, 19:17

material_orthotropic_damage_iterative_inline_impl.hh
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/**
* Copyright (©) 2018-2023 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/>.
*/
/* -------------------------------------------------------------------------- */
template <Int spatial_dimension>
inline void MaterialOrthotropicDamageIterative<spatial_dimension>::
computeDamageAndStressOnQuad(Matrix<Real> & sigma,
Matrix<Real> & one_minus_D,
Matrix<Real> & sqrt_one_minus_D,
Matrix<Real> & damage,
Matrix<Real> & first_term,
Matrix<Real> & third_term) {
// Real dmax = *(std::max_element(damage.data(), damage.data() +
// spatial_dimension*spatial_dimension) );
Real eta_effective = 0;
// if ( (1 - dmax*dmax) < (1 - this->eta / spatial_dimension *
// damage.trace()) ) {
// eta_effective = this->spatial_dimension * dmax * dmax / damage.trace();
// }
// else
eta_effective = this->eta;
/// hydrostatic sensitivity parameter
// Real eta = 3.;
/// Definition of Cauchy stress based on second order damage tensor:
/// "Anisotropic damage modelling of biaxial behaviour and rupture
/// of concrete strucutres", Ragueneau et al., 2008, Eq. 7
first_term.mul<false, false>(sqrt_one_minus_D, sigma);
first_term *= sqrt_one_minus_D;
Real second_term = 0;
for (Int i = 0; i < this->spatial_dimension; ++i) {
for (Int j = 0; j < this->spatial_dimension; ++j)
second_term += sigma(i, j) * one_minus_D(i, j);
}
second_term /= (this->spatial_dimension - damage.trace());
// for (Int i = 0; i < this->spatial_dimension; ++i) {
// for (Int j = 0; j < this->spatial_dimension; ++j)
// one_minus_D(i,j) *= second_term;
// }
one_minus_D *= second_term;
third_term.eye(
1. / this->spatial_dimension * sigma.trace() *
(1 - std::min(eta_effective / (this->spatial_dimension) * damage.trace(),
this->max_damage)));
sigma.copy(first_term);
sigma -= one_minus_D;
sigma += third_term;
}

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