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material_phase_field.cc
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/**
* @file material_phase_field.cc
*
* @author Mohit Pundir <mohit.pundir@epfl.ch>
*
* @date creation: Tue Aug 21 2018
* @date last modification: Tue Aug 21 2018
*
* @brief Implementation of the common part of the phasefield material class
*
* @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/>.
*
*/
/* -------------------------------------------------------------------------- */
#include "material_phase_field.hh"
#include "phase_field_model.hh"
/* -------------------------------------------------------------------------- */
namespace akantu {
/* -------------------------------------------------------------------------- */
MaterialPhaseField::MaterialPhaseField(PhaseFieldModel & model, const ID & id)
: Memory(id, model.getMemoryID()), Parsable(ParserType::_material, id),
is_init(false), fem(model.getFEEngine()),
name(""), model(model),
spatial_dimension(this->model.getSpatialDimension()),
element_filter("element_filter", id, this->memory_id),
damage("damage", *this),
stress("stress", *this), eigengradu("eigen_grad_u", *this),
gradu("grad_u", *this), green_strain("green_strain", *this),
piola_kirchhoff_2("piola_kirchhoff_2", *this),
dissipated_energy("dissipated_energy", *this), is_non_local(false),
use_previous_stress(false), use_previous_gradu(false),
interpolation_inverse_coordinates("interpolation inverse coordinates",
*this),
interpolation_points_matrices("interpolation points matrices", *this) {
AKANTU_DEBUG_IN();
element_filter.initialize(model.getMesh(),
_spatial_dimension = spatial_dimension);
this->initialize();
AKANTU_DEBUG_OUT();
}
MaterialPhaseField::MaterialPhaseField(PhaseFieldModel & model, UInt dim, const Mesh & mesh,
FEEngine & fe_engine, const ID & id)
: Memory(id, model.getMemoryID()), Parsable(ParserType::_material, id),
is_init(false), fem(fe_engine), finite_deformation(false), name(""),
model(model), spatial_dimension(dim),
element_filter("element_filter", id, this->memory_id),
damage("damage", *this),
stress("stress", *this, dim, fe_engine, this->element_filter),
eigengradu("eigen_grad_u", *this, dim, fe_engine, this->element_filter),
gradu("gradu", *this, dim, fe_engine, this->element_filter),
green_strain("green_strain", *this, dim, fe_engine, this->element_filter),
piola_kirchhoff_2("piola_kirchhoff_2", *this, dim, fe_engine,
this->element_filter),
potential_energy("potential_energy", *this, dim, fe_engine,
this->element_filter),
is_non_local(false), use_previous_stress(false),
use_previous_gradu(false),
interpolation_inverse_coordinates("interpolation inverse_coordinates",
*this, dim, fe_engine,
this->element_filter),
interpolation_points_matrices("interpolation points matrices", *this, dim,
fe_engine, this->element_filter) {
AKANTU_DEBUG_IN();
element_filter.initialize(mesh, _spatial_dimension = spatial_dimension);
this->initialize();
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
MaterialPhaseField::~MaterialPhaseField() = default;
/* -------------------------------------------------------------------------- */
void MaterialPhaseField::initialize() {
registerParam("E", E, Real(0.), _pat_parsable | _pat_modifiable,
"Young's modulus");
registerParam("nu", nu, Real(0.5), _pat_parsable | _pat_modifiable,
"Poisson's ratio");
registerParam("Gc", gc, Real(0.), _pat_parsable | _pat_modifiable,
"Griffith's fracture energy");
registerParam("l0", l0, Real(0.01), _pat_parsable | _pat_modifiable,
"length scale");
/// allocate gradu stress for local elements
eigengradu.initialize(spatial_dimension * spatial_dimension);
gradu.initialize(spatial_dimension * spatial_dimension);
stress.initialize(spatial_dimension * spatial_dimension);
dissipated_energy.initialize(1);
damage.initialize(0);
this->model.registerEventHandler(*this);
}
/* -------------------------------------------------------------------------- */
void MaterialPhaseField::initMaterial() {
AKANTU_DEBUG_IN();
if (finite_deformation) {
this->piola_kirchhoff_2.initialize(spatial_dimension * spatial_dimension);
if (use_previous_stress)
this->piola_kirchhoff_2.initializeHistory();
this->green_strain.initialize(spatial_dimension * spatial_dimension);
}
if (use_previous_stress)
this->stress.initializeHistory();
if (use_previous_gradu)
this->gradu.initializeHistory();
for (auto it = internal_vectors_real.begin();
it != internal_vectors_real.end(); ++it)
it->second->resize();
for (auto it = internal_vectors_uint.begin();
it != internal_vectors_uint.end(); ++it)
it->second->resize();
for (auto it = internal_vectors_bool.begin();
it != internal_vectors_bool.end(); ++it)
it->second->resize();
is_init = true;
updateInternalParameters();
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
void MaterialPhaseField::savePreviousState() {
AKANTU_DEBUG_IN();
for (auto pair : internal_vectors_real)
if (pair.second->hasHistory())
pair.second->saveCurrentValues();
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
void MaterialPhaseField::restorePreviousState() {
AKANTU_DEBUG_IN();
for (auto pair : internal_vectors_real)
if (pair.second->hasHistory())
pair.second->restorePreviousValues();
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
/**
* Compute the damage matrix by assembling @f$\int_{\omega} N^t \times D
* \times N d\omega @f$
*
* @param[in] current_position nodes postition + displacements
* @param[in] ghost_type compute the residual for _ghost or _not_ghost element
*/
void MaterialPhaseField::assembleDamageMatrix(GhostType ghost_type) {
AKANTU_DEBUG_IN();
UInt spatial_dimension = model.getSpatialDimension();
for (auto type : element_filter.elementTypes(spatial_dimension, ghost_type)) {
switch (spatial_dimension) {
case 1: {
assembleDamageMatrix<1>(type, ghost_type);
break;
}
case 2: {
assembleDamageMatrix<2>(type, ghost_type);
break;
}
case 3: {
assembleDamageMatrix<3>(type, ghost_type);
break;
}
}
}
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
template <UInt dim>
void MaterialPhaseField::assembleDamageMatrix(const ElementType & type,
GhostType ghost_type) {
AKANTU_DEBUG_IN();
Array<UInt> & elem_filter = element_filter(type, ghost_type);
if (elem_filter.size == 0) {
AKANTU_DEBUG_OUT();
return;
}
auto nb_element = elem_filter.size();
auto nb_nodes_per_element = Mesh::getNbNodesPerElement(type);
auto nb_quadrature_points = fem.getNbIntegrationPoints(type, ghost_type);
auto nt_d_n = std::make_unique<Array<Real>>(
nb_element * nb_quadrature_points,
nb_nodes_per_element * nb_nodes_per_element, "N^t*D*N");
fem.computeNtDN(conductivity_on_qpoints(tyep, ghost_type), *nt_d_n, type,
ghost_type);
auto K_d = std::make_unique<Array<Real> >(
nb_element, nb_nodes_per_element * nb_nodes_per_element, "K_d" );
fem.integrate(*nt_d_n, *K_d, nb_nodes_per_element * nb_nodes_per_element, "K_d");
model.getDOFManager().assembleElementalMatricesToMatrix(
"K", "damage", *K_d, type, ghost_type, _symmetric, elem_filter);
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
template <UInt dim>
void MaterialPhaseField::assembleDamageGradMatrix(const ElementType & type,
GhostType ghost_type) {
AKANTU_DEBUG_IN();
Array<UInt> & elem_filter = element_filter(type, ghost_type);
if (elem_filter.size == 0) {
AKANTU_DEBUG_OUT();
return;
}
auto nb_element = elem_filter.size();
auto nb_nodes_per_element = Mesh::getNbNodesPerElement(type);
auto nb_quadrature_points = fem.getNbIntegrationPoints(type, ghost_type);
auto bt_d_b = std::make_unique<Array<Real>>(nb_element * nb_quadrature_points,
nb_nodes_per_element * nb_nodes_per_element, "B^t*D*B");
/// compute @f$ K_{\grad d} = \int_e \mathbf{B}^t * \mathbf{W} * \mathbf{B}@f$
fem.computeBtDB(conductivity_on_qpoints(type, ghost_type), *bt_d_b, type,
ghost_type);
auto K_b = std::make_unique<Array<Real> >(
nb_element, nb_nodes_per_element * nb_nodes_per_element, "K_b");
fem.integrate(*bt_d_b, *K_b, nb_nodes_per_element * nb_nodes_per_element,
type, ghost_type);
model.getDOFManager().assembleElementalMatricsToMatrix(
"K", "damage", *K_b, type, ghost_type, _symmetric, elem_filter);
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
void MaterialPhaseField::computeHistoryField(const ElementType & el_type,
Array<Real> & history_array,
GhostType ghost_type) {
model.getDisplacement();
}
/* -------------------------------------------------------------------------- */
void MaterialPhaseField::computeHistoryFieldOnQuadPoints(
const GhostType & ghost_type) {
for (auto & type : mesh.elementType(spatial_dimension, ghost_type)) {
auto & displacement_interpolated = displacement_on_qpoints(type, ghost_type);
// compute the strain on quadrature points
this->getFEEngine().interpolateOnIntegrationPoints(
*displacement, displacement_interpolated, , type, ghost_type);
auto & strain_history = strain_history_on_qpoints(type, ghost_type);
for (auto && tuple :
zip(make_view(strain_history, spatial_dimension, spatial_dimension),
displacement_interpolated)) {
// compute strain on quad from displacement_interpolated
// commpute matrix sigma_plus and sigma_minus using
// lame_lambda and lame_mu
// compute phi_plus
// updated strain_history
}
}
}

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