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rAKA/src/material_brittle_inline_impl.cc
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material_brittle_inline_impl.cc
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/**
* @file material_brittle_inline_impl.cc
*
* @author Josué Aranda <josue.arandaruiz@epfl.ch>
* @author Daniel Pino Muñoz <daniel.pinomunoz@epfl.ch>
*
* @date Wed Feb 12 11:09:36 2014
*
* @brief Implementation of the inline functions of the material brittle
*
* @section LICENSE
*
* Copyright (©) 2010-2011 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
MaterialBrittle<spatial_dimension>::computeStressOnQuad(Matrix<Real> & grad_u,
Matrix<Real> & grad_v,
Matrix<Real> & sigma,
Real & dam,
Real & sigma_equivalent,
Real & fracture_stress) {
MaterialElastic<spatial_dimension>::computeStressOnQuad(grad_u, sigma);
Real equiv_strain_rate=0.;
Real volume_change_rate=grad_v.trace();
if(spatial_dimension==2){
// if(this->plane_stress){
// Real e_dot_33 = this->lambda*(volume_change_rate)/(2. * this->mu - this->lambda);
// volume_change_rate+=e_dot_33;
// equiv_strain_rate+=2./3.*pow( e_dot_33 - volume_change_rate/3. , 2. );
// }
// else
equiv_strain_rate+=2./3.*pow( volume_change_rate/3. , 2. );
}
for(UInt i=0; i<spatial_dimension; ++i)
for(UInt j=0; j<spatial_dimension; ++j)
equiv_strain_rate += 2./3. * pow( 0.5*(grad_v(i,j)+grad_v(j,i))-(i==j)*volume_change_rate/3. , 2. );
equiv_strain_rate=sqrt(equiv_strain_rate);
fracture_stress=S_0;
if(equiv_strain_rate>E_0)
//fracture_stress=A*pow(equiv_strain_rate,3)+B*pow(equiv_strain_rate,2)+C*equiv_strain_rate+D;
fracture_stress=A;
Vector<Real> principal_stress(spatial_dimension);
sigma.eig(principal_stress);
sigma_equivalent = principal_stress(0);
for(UInt i=1; i<spatial_dimension; ++i)
sigma_equivalent = std::max(sigma_equivalent, principal_stress(i));
/* Y = 0;
for (UInt i = 0; i < spatial_dimension; ++i) {
for (UInt j = 0; j < spatial_dimension; ++j) {
Y += sigma(i,j) * grad_u(i,j);
}
}
Y *= 0.5;
if(damage_in_y) Y *= (1 - dam);
if(yc_limit) Y = std::min(Y, Yc);
*/
if(!this->is_non_local) {
computeDamageAndStressOnQuad(sigma, dam, sigma_equivalent, fracture_stress);
}
}
/* -------------------------------------------------------------------------- */
template<UInt spatial_dimension>
inline void
MaterialBrittle<spatial_dimension>::computeDamageAndStressOnQuad(Matrix<Real> & sigma,
Real & dam,
Real & sigma_c,
Real & fracture_stress) {
if ( sigma_c > fracture_stress )
dam = 1.;
dam = std::min(dam,1.);
sigma *= 1-dam;
}
/* -------------------------------------------------------------------------- */
template<UInt spatial_dimension>
inline UInt MaterialBrittle<spatial_dimension>::getNbDataForElements(const Array<Element> & elements,
SynchronizationTag tag) const {
AKANTU_DEBUG_IN();
/*UInt size = 0;
if(tag == _gst_smm_init_mat) {
size += sizeof(Real) * this->getModel().getNbQuadraturePoints(elements);
}
*/
UInt size = MaterialDamage<spatial_dimension>::getNbDataForElements(elements, tag);
AKANTU_DEBUG_OUT();
return size;
}
/* -------------------------------------------------------------------------- */
template<UInt spatial_dimension>
inline void MaterialBrittle<spatial_dimension>::packElementData(CommunicationBuffer & buffer,
const Array<Element> & elements,
SynchronizationTag tag) const {
AKANTU_DEBUG_IN();
/*if(tag == _gst_smm_init_mat) {
this->packElementDataHelper(Yd, buffer, elements);
}*/
MaterialDamage<spatial_dimension>::packElementData(buffer, elements, tag);
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
template<UInt spatial_dimension>
inline void MaterialBrittle<spatial_dimension>::unpackElementData(CommunicationBuffer & buffer,
const Array<Element> & elements,
SynchronizationTag tag) {
AKANTU_DEBUG_IN();
/*if(tag == _gst_smm_init_mat) {
this->unpackElementDataHelper(Yd, buffer, elements);
}*/
MaterialDamage<spatial_dimension>::unpackElementData(buffer, elements, tag);
AKANTU_DEBUG_OUT();
}
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