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rAKA/extra_packages/extra-materials/src/material_damage/material_brittle_inline_impl.hh
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material_brittle_inline_impl.hh
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/**
* @file material_brittle_inline_impl.hh
*
* @author Aranda Ruiz Josue <josue.arandaruiz@epfl.ch>
* @author Daniel Pino Muñoz <daniel.pinomunoz@epfl.ch>
*
*
* @brief Implementation of the inline functions of the material brittle
*
*
* 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 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) {
equiv_strain_rate += 2. / 3. * pow(volume_change_rate / 3., 2.);
}
for (Int i = 0; i < spatial_dimension; ++i)
for (Int 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;
Vector<Real> principal_stress(spatial_dimension);
sigma.eig(principal_stress);
sigma_equivalent = principal_stress(0);
for (Int i = 1; i < spatial_dimension; ++i)
sigma_equivalent = std::max(sigma_equivalent, principal_stress(i));
if (!this->is_non_local) {
computeDamageAndStressOnQuad(sigma, dam, sigma_equivalent, fracture_stress);
}
}
/* -------------------------------------------------------------------------- */
template <Int 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 <Int spatial_dimension>
inline UInt MaterialBrittle<spatial_dimension>::getNbData(
const Array<Element> & elements, const SynchronizationTag & tag) const {
AKANTU_DEBUG_IN();
UInt size = MaterialDamage<spatial_dimension>::getNbData(elements, tag);
AKANTU_DEBUG_OUT();
return size;
}
/* -------------------------------------------------------------------------- */
template <Int spatial_dimension>
inline void MaterialBrittle<spatial_dimension>::packData(
CommunicationBuffer & buffer, const Array<Element> & elements,
const SynchronizationTag & tag) const {
AKANTU_DEBUG_IN();
MaterialDamage<spatial_dimension>::packData(buffer, elements, tag);
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
template <Int spatial_dimension>
inline void
MaterialBrittle<spatial_dimension>::unpackData(CommunicationBuffer & buffer,
const Array<Element> & elements,
const SynchronizationTag & tag) {
AKANTU_DEBUG_IN();
MaterialDamage<spatial_dimension>::unpackData(buffer, elements, tag);
AKANTU_DEBUG_OUT();
}
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