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rAKA/extra_packages/extra-materials/src/material_damage/material_orthotropic_damage_iterative_inline_impl.hh
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material_orthotropic_damage_iterative_inline_impl.hh
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/**
* @file material_damage_iterative_inline_impl.hh
*
* @author Aurelia Isabel Cuba Ramos <aurelia.cubaramos@epfl.ch>
*
* @date Sun Mar 8 12:54:30 2015
*
* @brief Implementation of inline functions of the material damage iterative
*
*
* Copyright (©) 2010-2012, 2014 EPFL (Ecole Polytechnique Fédérale de Lausanne)
* Laboratory (LSMS - Laboratoire de Simulation en Mécanique des Solides)
*
*/
/* -------------------------------------------------------------------------- */
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.storage(), damage.storage() +
// 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 (UInt i = 0; i < this->spatial_dimension; ++i) {
for (UInt 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 (UInt i = 0; i < this->spatial_dimension; ++i) {
// for (UInt 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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