constitutive_law.cc
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constitutive_law.cc
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	/**
	* @file constitutive_law.cc
	*
	* @author Mohit Pundir <mohit.pundir@ethz.ch>
	*
	* @date creation: Mon May 2 2022
	* @date last modification: Wed may 2 2022
	*
	* @brief Implementation of common part of the constitutive law
	*
	*
	* @section LICENSE
	*
	* Copyright (©) 2018-2021 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 "constitutive_law.hh"
	#include "mesh_iterators.hh"
	#include "poisson_model.hh"
	/* -------------------------------------------------------------------------- */

	namespace akantu {

	/* -------------------------------------------------------------------------- */
	ConstitutiveLaw::ConstitutiveLaw(PoissonModel & model, const ID & id)
	: Parsable(ParserType::_constitutive_law, id), id(id), fem(model.getFEEngine()),
	model(model), spatial_dimension(this->model.getSpatialDimension()),
	element_filter("element_filter", id),
	flux_dof("flux_degree_of_freedom", *this),
	gradient_dof("gradient_degree_of_freedom", *this) {

	AKANTU_DEBUG_IN();

	/// for each connectivity types allocate the element filer array of the
	/// material
	element_filter.initialize(model.getMesh(),
	_spatial_dimension = spatial_dimension,
	_element_kind = _ek_regular);
	this->initialize();

	AKANTU_DEBUG_OUT();
	}


	/* -------------------------------------------------------------------------- */
	ConstitutiveLaw::ConstitutiveLaw(PoissonModel & model, UInt dim, const Mesh & mesh,
	FEEngine & fe_engine, const ID & id)
	: Parsable(ParserType::_constitutive_law, id), id(id), fem(fe_engine),
	model(model), spatial_dimension(this->model.getSpatialDimension()),
	element_filter("element_filter", id),
	flux_dof("flux_degree_of_freedom", *this, dim, fe_engine,
	this->element_filter),
	gradient_dof("gradient_degree_of_freedom", *this, dim, fe_engine,
	this->element_filter) {

	AKANTU_DEBUG_IN();

	/// for each connectivity types allocate the element filer array of the
	/// material
	element_filter.initialize(mesh, _spatial_dimension = spatial_dimension,
	_element_kind = _ek_regular);
	this->initialize();

	AKANTU_DEBUG_OUT();
	}

	/* -------------------------------------------------------------------------- */
	ConstitutiveLaw::~ConstitutiveLaw() = default;


	/* -------------------------------------------------------------------------- */
	void ConstitutiveLaw::initialize() {
	registerParam("name", name, std::string(), _pat_parsable \| _pat_readable);

	flux_dof.initialize(spatial_dimension);
	gradient_dof.initialize(spatial_dimension);
	}

	/* -------------------------------------------------------------------------- */
	void ConstitutiveLaw::initConstitutiveLaw() {
	AKANTU_DEBUG_IN();

	this->resizeInternals();

	AKANTU_DEBUG_OUT();
	}

	/* -------------------------------------------------------------------------- */
	void ConstitutiveLaw::addElements(const Array<Element> & elements_to_add) {
	AKANTU_DEBUG_IN();

	UInt law_id = model.getConstitutiveLawIndex(name);
	for (const auto & element : elements_to_add) {
	auto index = this->addElement(element);
	model.constitutive_law_index(element) = law_id;
	model.constitutive_law_local_numbering(element) = index;
	}

	this->resizeInternals();

	AKANTU_DEBUG_OUT();
	}

	/* -------------------------------------------------------------------------- */
	void ConstitutiveLaw::removeElements(const Array<Element> & elements_to_remove) {
	AKANTU_DEBUG_IN();

	auto el_begin = elements_to_remove.begin();
	auto el_end = elements_to_remove.end();

	if (elements_to_remove.empty()) {
	return;
	}

	auto & mesh = this->model.getMesh();

	ElementTypeMapArray<UInt> constitutive_law_local_new_numbering(
	"remove law filter elem", id);

	constitutive_law_local_new_numbering.initialize(
	mesh, _element_filter = &element_filter, _element_kind = _ek_not_defined,
	_with_nb_element = true);

	ElementTypeMapArray<UInt> element_filter_tmp("element_filter_tmp", id);

	element_filter_tmp.initialize(mesh, _element_filter = &element_filter,
	_element_kind = _ek_not_defined);

	ElementTypeMap<UInt> new_ids, element_ids;

	for_each_element(
	mesh,
	[&](auto && el) {
	if (not new_ids(el.type, el.ghost_type)) {
	element_ids(el.type, el.ghost_type) = 0;
	}

	auto & element_id = element_ids(el.type, el.ghost_type);
	auto l_el = Element{el.type, element_id, el.ghost_type};
	if (std::find(el_begin, el_end, el) != el_end) {
	constitutive_law_local_new_numbering(l_el) = UInt(-1);
	return;
	}

	element_filter_tmp(el.type, el.ghost_type).push_back(el.element);
	if (not new_ids(el.type, el.ghost_type)) {
	new_ids(el.type, el.ghost_type) = 0;
	}

	auto & new_id = new_ids(el.type, el.ghost_type);

	constitutive_law_local_new_numbering(l_el) = new_id;
	model.constitutive_law_local_numbering(el) = new_id;

	++new_id;
	++element_id;
	},
	_element_filter = &element_filter, _element_kind = _ek_not_defined);

	for (auto ghost_type : ghost_types) {
	for (const auto & type : element_filter.elementTypes(
	_ghost_type = ghost_type, _element_kind = _ek_not_defined)) {
	element_filter(type, ghost_type)
	.copy(element_filter_tmp(type, ghost_type));
	}
	}

	for (auto it = internal_vectors_real.begin();
	it != internal_vectors_real.end(); ++it) {
	it->second->removeIntegrationPoints(constitutive_law_local_new_numbering);
	}

	for (auto it = internal_vectors_uint.begin();
	it != internal_vectors_uint.end(); ++it) {
	it->second->removeIntegrationPoints(constitutive_law_local_new_numbering);
	}

	for (auto it = internal_vectors_bool.begin();
	it != internal_vectors_bool.end(); ++it) {
	it->second->removeIntegrationPoints(constitutive_law_local_new_numbering);
	}

	AKANTU_DEBUG_OUT();
	}


	/* -------------------------------------------------------------------------- */
	void ConstitutiveLaw::resizeInternals() {
	AKANTU_DEBUG_IN();
	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();
	}

	AKANTU_DEBUG_OUT();
	}



	/* -------------------------------------------------------------------------- */
	void ConstitutiveLaw::computeAllFluxes(GhostType ghost_type) {

	AKANTU_DEBUG_IN();

	UInt spatial_dimension = model.getSpatialDimension();

	for (const auto & type :
	element_filter.elementTypes(spatial_dimension, ghost_type)) {
	auto & elem_filter = element_filter(type, ghost_type);

	if (elem_filter.empty()) {
	continue;
	}

	computeFlux(type, ghost_type);
	}

	AKANTU_DEBUG_OUT();
	}

	/* -------------------------------------------------------------------------- */
	void ConstitutiveLaw::assembleInternalDofRate(GhostType ghost_type) {
	AKANTU_DEBUG_IN();

	Array<Real> & internal_dof_rate = model.getInternalDofRate();

	Mesh & mesh = fem.getMesh();

	for (auto type : element_filter.elementTypes(_ghost_type = ghost_type)) {

	Array<UInt> & elem_filter = element_filter(type, ghost_type);
	UInt nb_elements = elem_filter.size();

	if (nb_elements == 0) {
	continue;
	}

	UInt nb_nodes_per_element = Mesh::getNbNodesPerElement(type);

	auto & flux_dof_vect = flux_dof(type, ghost_type);

	UInt nb_quad_points = flux_dof_vect.size();
	Array<Real> bt_k_gT(nb_quad_points, nb_nodes_per_element);
	fem.computeBtD(flux_dof_vect, bt_k_gT, type, ghost_type);

	Array<Real> int_bt_k_gT(nb_elements, nb_nodes_per_element);

	fem.integrate(bt_k_gT, int_bt_k_gT, nb_nodes_per_element, type,
	ghost_type, elem_filter);

	model.getDOFManager().assembleElementalArrayLocalArray(
	int_bt_k_gT, internal_dof_rate, type, ghost_type, -1., elem_filter);
	}

	AKANTU_DEBUG_OUT();
	}


	/* -------------------------------------------------------------------------- */
	void ConstitutiveLaw::assembleStiffnessMatrix(GhostType ghost_type) {

	AKANTU_DEBUG_IN();

	UInt spatial_dimension = model.getSpatialDimension();

	for (auto type : element_filter.elementTypes(spatial_dimension, ghost_type)) {

	Array<UInt> & elem_filter = element_filter(type, ghost_type);
	if (elem_filter.empty()) {
	AKANTU_DEBUG_OUT();
	return;
	}

	UInt nb_element = elem_filter.size();
	UInt nb_nodes_per_element = Mesh::getNbNodesPerElement(type);
	UInt nb_quadrature_points = fem.getNbIntegrationPoints(type, ghost_type);


	UInt tangent_size = spatial_dimension;

	auto * tangent_stiffness_matrix =
	new Array<Real>(nb_element * nb_quadrature_points,
	tangent_size * tangent_size, "tangent_stiffness_matrix");

	tangent_stiffness_matrix->zero();

	computeTangentModuli(type, *tangent_stiffness_matrix, 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^tDB");

	fem.computeBtDB(tangent_stiffness_matrix, bt_d_b, 2, type);

	delete tangent_stiffness_matrix;

	/// compute @f$ k_e = \int_e \mathbf{B}^t * \mathbf{D} * \mathbf{B}@f$
	auto K_e = std::make_unique<Array<Real>>(
	nb_element, nb_nodes_per_element * nb_nodes_per_element, "K_e");

	fem.integrate(bt_d_b, K_e, nb_nodes_per_element * nb_nodes_per_element,
	type);

	model.getDOFManager().assembleElementalMatricesToMatrix(
	"K", "dof", *K_e, type, ghost_type, _symmetric, elem_filter);

	}

	}


	/* -------------------------------------------------------------------------- */
	void ConstitutiveLaw::beforeSolveStep() {
	}

	/* -------------------------------------------------------------------------- */
	void ConstitutiveLaw::afterSolveStep(bool converged) {}


	/* -------------------------------------------------------------------------- */
	void ConstitutiveLaw::printself(std::ostream & stream, int indent) const {
	std::string space(indent, AKANTU_INDENT);
	std::string type = getID().substr(getID().find_last_of(':') + 1);

	stream << space << "Constitutive Law " << type << " [" << std::endl;
	Parsable::printself(stream, indent);
	stream << space << "]" << std::endl;
	}

	/* -------------------------------------------------------------------------- */
	ConstitutiveLawFactory & ConstitutiveLaw::getFactory() {
	return ConstitutiveLawFactory::getInstance();
	}


	}

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