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solid_mechanics_model.cc

/**
* @file solid_mechanics_model.cc
*
* @author Ramin Aghababaei <ramin.aghababaei@epfl.ch>
* @author Guillaume Anciaux <guillaume.anciaux@epfl.ch>
* @author Aurelia Isabel Cuba Ramos <aurelia.cubaramos@epfl.ch>
* @author David Simon Kammer <david.kammer@epfl.ch>
* @author Daniel Pino Muñoz <daniel.pinomunoz@epfl.ch>
* @author Nicolas Richart <nicolas.richart@epfl.ch>
* @author Clement Roux <clement.roux@epfl.ch>
* @author Marco Vocialta <marco.vocialta@epfl.ch>
*
* @date creation: Tue Jul 27 2010
* @date last modification: Tue Jan 19 2016
*
* @brief Implementation of the SolidMechanicsModel class
*
* @section LICENSE
*
* Copyright (©) 2010-2012, 2014, 2015 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 "solid_mechanics_model.hh"
#include "aka_common.hh"
#include "aka_math.hh"
#include "element_group.hh"
#include "element_synchronizer.hh"
#include "group_manager_inline_impl.cc"
#include "static_communicator.hh"
#include "synchronizer_registry.hh"
#include "sparse_matrix.hh"
#include "dumpable_inline_impl.hh"
#ifdef AKANTU_USE_IOHELPER
#include "dumper_element_partition.hh"
#include "dumper_elemental_field.hh"
#include "dumper_field.hh"
#include "dumper_homogenizing_field.hh"
#include "dumper_internal_material_field.hh"
#include "dumper_iohelper.hh"
#include "dumper_material_padders.hh"
#include "dumper_paraview.hh"
#endif
#ifdef AKANTU_DAMAGE_NON_LOCAL
#include "non_local_manager.hh"
#endif
/* -------------------------------------------------------------------------- */
#include <cmath>
/* -------------------------------------------------------------------------- */
/* -------------------------------------------------------------------------- */
__BEGIN_AKANTU__
const SolidMechanicsModelOptions
default_solid_mechanics_model_options(_explicit_lumped_mass, false);
/* -------------------------------------------------------------------------- */
/**
* A solid mechanics model need a mesh and a dimension to be created. the model
* by it self can not do a lot, the good init functions should be called in
* order to configure the model depending on what we want to do.
*
* @param mesh mesh representing the model we want to simulate
* @param dim spatial dimension of the problem, if dim = 0 (default value) the
* dimension of the problem is assumed to be the on of the mesh
* @param id an id to identify the model
*/
SolidMechanicsModel::SolidMechanicsModel(Mesh & mesh, UInt dim, const ID & id,
const MemoryID & memory_id)
: Model(mesh, dim, id, memory_id), BoundaryCondition<SolidMechanicsModel>(),
f_m2a(1.0), displacement(NULL), previous_displacement(NULL),
displacement_increment(NULL), mass(NULL), velocity(NULL),
acceleration(NULL), external_force(NULL), internal_force(NULL),
blocked_dofs(NULL), current_position(NULL), mass_matrix(NULL),
velocity_damping_matrix(NULL), stiffness_matrix(NULL),
jacobian_matrix(NULL), material_index("material index", id, memory_id),
material_local_numbering("material local numbering", id, memory_id),
material_selector(new DefaultMaterialSelector(material_index)),
is_default_material_selector(true), increment_flag(false),
synch_parallel(NULL), are_materials_instantiated(false),
non_local_manager(NULL) { //, pbc_synch(NULL) {
AKANTU_DEBUG_IN();
this->registerFEEngineObject<MyFEEngineType>("SolidMechanicsFEEngine", mesh,
spatial_dimension);
this->mesh.registerEventHandler(*this);
#if defined(AKANTU_USE_IOHELPER)
this->mesh.registerDumper<DumperParaview>("paraview_all", id, true);
this->mesh.addDumpMesh(mesh, spatial_dimension, _not_ghost, _ek_regular);
#endif
this->initDOFManager();
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
SolidMechanicsModel::~SolidMechanicsModel() {
AKANTU_DEBUG_IN();
std::vector<Material *>::iterator mat_it;
for (mat_it = materials.begin(); mat_it != materials.end(); ++mat_it) {
delete *mat_it;
}
materials.clear();
delete synch_parallel;
if (is_default_material_selector) {
delete material_selector;
material_selector = NULL;
}
flatten_internal_map::iterator fl_it = this->registered_internals.begin();
flatten_internal_map::iterator fl_end = this->registered_internals.end();
for (; fl_it != fl_end; ++fl_it) {
delete fl_it->second;
}
#ifdef AKANTU_DAMAGE_NON_LOCAL
delete non_local_manager;
non_local_manager = NULL;
#endif
// delete pbc_synch;
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
void SolidMechanicsModel::setTimeStep(Real time_step, const ID & solver_id) {
Model::setTimeStep(time_step, solver_id);
#if defined(AKANTU_USE_IOHELPER)
this->mesh.getDumper().setTimeStep(time_step);
#endif
}
/* -------------------------------------------------------------------------- */
/* Initialization */
/* -------------------------------------------------------------------------- */
/**
* This function groups many of the initialization in on function. For most of
* basics case the function should be enough. The functions initialize the
* model, the internal vectors, set them to 0, and depending on the parameters
* it also initialize the explicit or implicit solver.
*
* @param material_file the file containing the materials to use
* @param method the analysis method wanted. See the akantu::AnalysisMethod for
* the different possibilities
*/
void SolidMechanicsModel::initFull(const ModelOptions & options) {
Model::initFull(options);
const SolidMechanicsModelOptions & smm_options =
dynamic_cast<const SolidMechanicsModelOptions &>(options);
this->method = smm_options.analysis_method;
// initialize the vectors
this->initArrays();
if (!this->hasDefaultSolver())
this->initNewSolver(this->method);
// initialize pbc
if (this->pbc_pair.size() != 0)
this->initPBC();
#ifdef AKANTU_DAMAGE_NON_LOCAL
/// create the non-local manager object for non-local damage computations
std::stringstream nl_manager_name;
nl_manager_name << "NLManager" << this->id;
this->non_local_manager =
new NonLocalManager(*this, nl_manager_name.str(), this->memory_id);
#endif
// initialize the materials
if (this->parser->getLastParsedFile() != "") {
this->instantiateMaterials();
}
if (!smm_options.no_init_materials) {
this->initMaterials();
}
if (increment_flag)
this->initBC(*this, *displacement, *displacement_increment,
*external_force);
else
this->initBC(*this, *displacement, *external_force);
}
/* -------------------------------------------------------------------------- */
TimeStepSolverType SolidMechanicsModel::getDefaultSolverType() const {
return _tsst_dynamic_lumped;
}
/* -------------------------------------------------------------------------- */
ModelSolverOptions SolidMechanicsModel::getDefaultSolverOptions(
const TimeStepSolverType & type) const {
ModelSolverOptions options;
switch (type) {
case _tsst_dynamic_lumped: {
options.non_linear_solver_type = _nls_lumped;
options.integration_scheme_type["displacement"] = _ist_central_difference;
options.solution_type["displacement"] = IntegrationScheme::_acceleration;
break;
}
case _tsst_static: {
options.non_linear_solver_type = _nls_newton_raphson;
options.integration_scheme_type["displacement"] = _ist_pseudo_time;
options.solution_type["displacement"] = IntegrationScheme::_not_defined;
break;
}
case _tsst_dynamic: {
if (this->method == _explicit_consistent_mass) {
options.non_linear_solver_type = _nls_newton_raphson;
options.integration_scheme_type["displacement"] = _ist_central_difference;
options.solution_type["displacement"] = IntegrationScheme::_acceleration;
} else {
options.non_linear_solver_type = _nls_newton_raphson;
options.integration_scheme_type["displacement"] = _ist_trapezoidal_rule_2;
options.solution_type["displacement"] = IntegrationScheme::_displacement;
}
break;
}
}
return options;
}
/* -------------------------------------------------------------------------- */
void SolidMechanicsModel::initNewSolver(const AnalysisMethod & method) {
ID solver_name;
TimeStepSolverType tss_type;
this->method = method;
switch (this->method) {
case _explicit_lumped_mass: {
solver_name = "explicit_lumped";
tss_type = _tsst_dynamic_lumped;
break;
}
case _explicit_consistent_mass: {
solver_name = "explicit";
tss_type = _tsst_dynamic;
break;
}
case _static: {
solver_name = "static";
tss_type = _tsst_static;
break;
}
case _implicit_dynamic: {
solver_name = "implicit";
tss_type = _tsst_dynamic;
break;
}
}
if (!this->hasSolver(solver_name)) {
ModelSolverOptions options = this->getDefaultSolverOptions(tss_type);
this->getNewSolver(solver_name, tss_type, options.non_linear_solver_type);
this->setIntegrationScheme(solver_name, "displacement",
options.integration_scheme_type["displacement"],
options.solution_type["displacement"]);
this->setDefaultSolver(solver_name);
}
}
/* -------------------------------------------------------------------------- */
template <typename T>
void SolidMechanicsModel::allocNodalField(Array<T> *& array,
__attribute__((unused))
UInt nb_component,
const ID & name) {
if (array == NULL) {
UInt nb_nodes = mesh.getNbNodes();
std::stringstream sstr_disp;
sstr_disp << id << ":" << name;
array = &(alloc<T>(sstr_disp.str(), nb_nodes, spatial_dimension, T()));
}
}
/* -------------------------------------------------------------------------- */
void SolidMechanicsModel::initSolver(
TimeStepSolverType time_step_solver_type,
__attribute__((unused)) NonLinearSolverType non_linear_solver_type) {
DOFManager & dof_manager = this->getDOFManager();
/* ------------------------------------------------------------------------ */
// for alloc type of solvers
this->allocNodalField(this->displacement, spatial_dimension, "displacement");
this->allocNodalField(this->internal_force, spatial_dimension,
"internal_force");
this->allocNodalField(this->external_force, spatial_dimension,
"external_force");
this->allocNodalField(this->blocked_dofs, spatial_dimension, "blocked_dofs");
this->allocNodalField(this->current_position, spatial_dimension,
"current_position");
/* ------------------------------------------------------------------------ */
if (!dof_manager.hasDOFs("displacement")) {
dof_manager.registerDOFs("displacement", *this->displacement, _dst_nodal);
dof_manager.registerBlockedDOFs("displacement", *this->blocked_dofs);
}
/* ------------------------------------------------------------------------ */
// for dynamic
if (time_step_solver_type == _tsst_dynamic ||
time_step_solver_type == _tsst_dynamic_lumped) {
this->allocNodalField(this->velocity, spatial_dimension, "velocity");
this->allocNodalField(this->acceleration, spatial_dimension,
"acceleration");
if (!dof_manager.hasDOFsDerivatives("displacement", 1)) {
dof_manager.registerDOFsDerivative("displacement", 1, *this->velocity);
dof_manager.registerDOFsDerivative("displacement", 2,
*this->acceleration);
}
}
if (time_step_solver_type == _tsst_dynamic ||
time_step_solver_type == _tsst_static) {
if (!dof_manager.hasMatrix("K")) {
dof_manager.getNewMatrix("K", _symmetric);
}
if (!dof_manager.hasMatrix("J")) {
dof_manager.getNewMatrix("J", "K");
}
}
}
/* -------------------------------------------------------------------------- */
// void SolidMechanicsModel::initParallel(MeshPartition & partition,
// DataAccessor<Element> * data_accessor)
// {
// AKANTU_DEBUG_IN();
// if (data_accessor == NULL)
// data_accessor = this;
// synch_parallel = &createParallelSynch(partition, *data_accessor);
// synch_registry->registerSynchronizer(*synch_parallel, _gst_material_id);
// synch_registry->registerSynchronizer(*synch_parallel, _gst_smm_mass);
// synch_registry->registerSynchronizer(*synch_parallel, _gst_smm_stress);
// synch_registry->registerSynchronizer(*synch_parallel, _gst_smm_boundary);
// synch_registry->registerSynchronizer(*synch_parallel, _gst_for_dump);
// AKANTU_DEBUG_OUT();
// }
/* -------------------------------------------------------------------------- */
void SolidMechanicsModel::initFEEngineBoundary() {
FEEngine & fem_boundary = getFEEngineBoundary();
fem_boundary.initShapeFunctions(_not_ghost);
fem_boundary.initShapeFunctions(_ghost);
fem_boundary.computeNormalsOnIntegrationPoints(_not_ghost);
fem_boundary.computeNormalsOnIntegrationPoints(_ghost);
}
/* -------------------------------------------------------------------------- */
void SolidMechanicsModel::initArraysPreviousDisplacment() {
AKANTU_DEBUG_IN();
this->setIncrementFlagOn();
if (not this->previous_displacement) {
this->allocNodalField(this->previous_displacement, spatial_dimension,
"previous_displacement");
this->getDOFManager().registerDOFsPrevious("displacement",
*this->previous_displacement);
}
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
/**
* Allocate all the needed vectors. By default their are not necessarily set to
* 0
*/
void SolidMechanicsModel::initArrays() {
AKANTU_DEBUG_IN();
for (auto ghost_type : ghost_types) {
for (auto type :
mesh.elementTypes(spatial_dimension, ghost_type, _ek_not_defined)) {
UInt nb_element = mesh.getNbElement(type, ghost_type);
this->material_index.alloc(nb_element, 1, type, ghost_type);
this->material_local_numbering.alloc(nb_element, 1, type, ghost_type);
}
}
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
/**
* Initialize the model,basically it pre-compute the shapes, shapes derivatives
* and jacobian
*
*/
void SolidMechanicsModel::initModel() {
/// \todo add the current position as a parameter to initShapeFunctions for
/// large deformation
getFEEngine().initShapeFunctions(_not_ghost);
getFEEngine().initShapeFunctions(_ghost);
}
/* -------------------------------------------------------------------------- */
// void SolidMechanicsModel::initPBC() {
// Model::initPBC();
// registerPBCSynchronizer();
// // as long as there are ones on the diagonal of the matrix, we can put
// // boudandary true for slaves
// std::map<UInt, UInt>::iterator it = pbc_pair.begin();
// std::map<UInt, UInt>::iterator end = pbc_pair.end();
// UInt dim = mesh.getSpatialDimension();
// while (it != end) {
// for (UInt i = 0; i < dim; ++i)
// (*blocked_dofs)((*it).first, i) = true;
// ++it;
// }
// }
// /* --------------------------------------------------------------------------
// */
// void SolidMechanicsModel::registerPBCSynchronizer() {
// pbc_synch = new PBCSynchronizer(pbc_pair);
// synch_registry->registerSynchronizer(*pbc_synch, _gst_smm_uv);
// synch_registry->registerSynchronizer(*pbc_synch, _gst_smm_mass);
// synch_registry->registerSynchronizer(*pbc_synch, _gst_smm_res);
// synch_registry->registerSynchronizer(*pbc_synch, _gst_for_dump);
// // changeLocalEquationNumberForPBC(pbc_pair, mesh.getSpatialDimension());
// }
/* -------------------------------------------------------------------------- */
void SolidMechanicsModel::assembleResidual() {
AKANTU_DEBUG_IN();
/* ------------------------------------------------------------------------ */
// computes the internal forces
this->assembleInternalForces();
/* ------------------------------------------------------------------------ */
this->getDOFManager().assembleToResidual("displacement",
*this->external_force, 1);
this->getDOFManager().assembleToResidual("displacement",
*this->internal_force, -1);
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
void SolidMechanicsModel::assembleJacobian() {
this->assembleStiffnessMatrix();
}
/* -------------------------------------------------------------------------- */
void SolidMechanicsModel::predictor() {}
/* -------------------------------------------------------------------------- */
void SolidMechanicsModel::corrector() {}
/* -------------------------------------------------------------------------- */
/**
* This function computes the internal forces as F_{int} = \int_{\Omega} N
* \sigma d\Omega@f$
*/
void SolidMechanicsModel::assembleInternalForces() {
AKANTU_DEBUG_IN();
AKANTU_DEBUG_INFO("Assemble the internal forces");
this->internal_force->clear();
// compute the stresses of local elements
AKANTU_DEBUG_INFO("Compute local stresses");
for (auto material : materials) {
material->computeAllStresses(_not_ghost);
}
#ifdef AKANTU_DAMAGE_NON_LOCAL
/* ------------------------------------------------------------------------ */
/* Computation of the non local part */
this->non_local_manager->computeAllNonLocalStresses();
#endif
// communicate the stresses
AKANTU_DEBUG_INFO("Send data for residual assembly");
this->asynchronousSynchronize(_gst_smm_stress);
// assemble the forces due to local stresses
AKANTU_DEBUG_INFO("Assemble residual for local elements");
for (auto material : materials) {
material->assembleInternalForces(_not_ghost);
}
// finalize communications
AKANTU_DEBUG_INFO("Wait distant stresses");
this->waitEndSynchronize(_gst_smm_stress);
// assemble the stresses due to ghost elements
AKANTU_DEBUG_INFO("Assemble residual for ghost elements");
for (auto material : materials) {
material->assembleInternalForces(_ghost);
}
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
void SolidMechanicsModel::assembleStiffnessMatrix() {
AKANTU_DEBUG_IN();
AKANTU_DEBUG_INFO("Assemble the new stiffness matrix.");
// Check if materials need to recompute the matrix
bool need_to_reassemble = false;
for (auto material : materials) {
need_to_reassemble |= material->hasStiffnessMatrixChanged();
}
if (need_to_reassemble) {
this->getDOFManager().getMatrix("K").clear();
// call compute stiffness matrix on each local elements
for (auto material : materials) {
material->assembleStiffnessMatrix(_not_ghost);
}
}
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
void SolidMechanicsModel::updateCurrentPosition() {
AKANTU_DEBUG_IN();
this->current_position->copy(this->mesh.getNodes());
auto cpos_it = this->current_position->begin(spatial_dimension);
auto cpos_end = this->current_position->end(spatial_dimension);
auto disp_it = this->displacement->begin(spatial_dimension);
for (; cpos_it != cpos_end; ++cpos_it, ++disp_it) {
*cpos_it += *disp_it;
}
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
// void SolidMechanicsModel::initializeUpdateResidualData() {
// AKANTU_DEBUG_IN();
// UInt nb_nodes = mesh.getNbNodes();
// internal_force->resize(nb_nodes);
// /// copy the forces in residual for boundary conditions
// this->getDOFManager().assembleToResidual("displacement",
// *this->external_force);
// // start synchronization
// this->asynchronousSynchronize(_gst_smm_uv);
// this->waitEndSynchronize(_gst_smm_uv);
// this->updateCurrentPosition();
// AKANTU_DEBUG_OUT();
// }
/* -------------------------------------------------------------------------- */
/* Explicit scheme */
/* -------------------------------------------------------------------------- */
/* -------------------------------------------------------------------------- */
// void SolidMechanicsModel::computeStresses() {
// if (isExplicit()) {
// // start synchronization
// this->asynchronousSynchronize(_gst_smm_uv);
// this->waitEndSynchronize(_gst_smm_uv);
// // compute stresses on all local elements for each materials
// std::vector<Material *>::iterator mat_it;
// for (mat_it = materials.begin(); mat_it != materials.end(); ++mat_it) {
// Material & mat = **mat_it;
// mat.computeAllStresses(_not_ghost);
// }
// #ifdef AKANTU_DAMAGE_NON_LOCAL
// /* Computation of the non local part */
// this->non_local_manager->computeAllNonLocalStresses();
// #endif
// } else {
// std::vector<Material *>::iterator mat_it;
// for (mat_it = materials.begin(); mat_it != materials.end(); ++mat_it) {
// Material & mat = **mat_it;
// mat.computeAllStressesFromTangentModuli(_not_ghost);
// }
// }
// }
/* -------------------------------------------------------------------------- */
/* Implicit scheme */
/* -------------------------------------------------------------------------- */
/* -------------------------------------------------------------------------- */
// /**
// * Initialize the solver and create the sparse matrices needed.
// *
// */
// void SolidMechanicsModel::initSolver(__attribute__((unused))
// SolverOptions & options) {
// UInt nb_global_nodes = mesh.getNbGlobalNodes();
// jacobian_matrix = &(this->getDOFManager().getNewMatrix("jacobian",
// _symmetric));
// // jacobian_matrix->buildProfile(mesh, *dof_synchronizer,
// spatial_dimension);
// if (!isExplicit()) {
// delete stiffness_matrix;
// std::stringstream sstr_sti;
// sstr_sti << id << ":stiffness_matrix";
// stiffness_matrix = &(this->getDOFManager().getNewMatrix("stiffness",
// _symmetric));
// }
// if (solver) solver->initialize(options);
// }
// /* --------------------------------------------------------------------------
// */
// void SolidMechanicsModel::initJacobianMatrix() {
// // @todo make it more flexible: this is an ugly patch to treat the case of
// non
// // fix profile of the K matrix
// delete jacobian_matrix;
// jacobian_matrix = &(this->getDOFManager().getNewMatrix("jacobian",
// "stiffness"));
// std::stringstream sstr_solv; sstr_solv << id << ":solver";
// delete solver;
// solver = new SolverMumps(*jacobian_matrix, sstr_solv.str());
// if(solver)
// solver->initialize(_solver_no_options);
// }
/* -------------------------------------------------------------------------- */
/**
* Initialize the implicit solver, either for dynamic or static cases,
*
* @param dynamic
*/
// void SolidMechanicsModel::initImplicit(bool dynamic) {
// AKANTU_DEBUG_IN();
// method = dynamic ? _implicit_dynamic : _static;
// if (!increment)
// setIncrementFlagOn();
// initSolver();
// // if(method == _implicit_dynamic) {
// // if(integrator) delete integrator;
// // integrator = new TrapezoidalRule2();
// // }
// AKANTU_DEBUG_OUT();
// }
/* -------------------------------------------------------------------------- */
/* -------------------------------------------------------------------------- */
// SparseMatrix & SolidMechanicsModel::initVelocityDampingMatrix() {
// return this->getDOFManager().getNewMatrix("velocity_damping", "jacobian");
// }
// /* --------------------------------------------------------------------------
// */
// void SolidMechanicsModel::implicitPred() {
// AKANTU_DEBUG_IN();
// if(previous_displacement) previous_displacement->copy(*displacement);
// if(method == _implicit_dynamic)
// integrator->integrationSchemePred(time_step,
// *displacement,
// *velocity,
// *acceleration,
// *blocked_dofs);
// AKANTU_DEBUG_OUT();
// }
// /* --------------------------------------------------------------------------
// */
// void SolidMechanicsModel::implicitCorr() {
// AKANTU_DEBUG_IN();
// if(method == _implicit_dynamic) {
// integrator->integrationSchemeCorrDispl(time_step,
// *displacement,
// *velocity,
// *acceleration,
// *blocked_dofs,
// *increment);
// } else {
// UInt nb_nodes = displacement->getSize();
// UInt nb_degree_of_freedom = displacement->getNbComponent() * nb_nodes;
// Real * incr_val = increment->storage();
// Real * disp_val = displacement->storage();
// bool * boun_val = blocked_dofs->storage();
// for (UInt j = 0; j < nb_degree_of_freedom; ++j, ++disp_val, ++incr_val,
// ++boun_val){
// *incr_val *= (1. - *boun_val);
// *disp_val += *incr_val;
// }
// }
// AKANTU_DEBUG_OUT();
// }
/* -------------------------------------------------------------------------- */
void SolidMechanicsModel::updateIncrement() {
AKANTU_DEBUG_IN();
auto incr_it = this->displacement_increment->begin(spatial_dimension);
auto incr_end = this->displacement_increment->end(spatial_dimension);
auto disp_it = this->displacement->begin(spatial_dimension);
auto prev_disp_it = this->previous_displacement->begin(spatial_dimension);
for (; incr_it != incr_end; ++incr_it) {
*incr_it = *disp_it;
*incr_it -= *prev_disp_it;
}
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
void SolidMechanicsModel::updatePreviousDisplacement() {
AKANTU_DEBUG_IN();
AKANTU_DEBUG_ASSERT(
previous_displacement,
"The previous displacement has to be initialized."
<< " Are you working with Finite or Ineslactic deformations?");
previous_displacement->copy(*displacement);
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
void SolidMechanicsModel::updateDataForNonLocalCriterion(
ElementTypeMapReal & criterion) {
const ID field_name = criterion.getName();
for (auto material : materials) {
if (material->isInternal<Real>(field_name, _ek_regular))
for (UInt g = _not_ghost; g <= _ghost; ++g) {
GhostType ghost_type = (GhostType)g;
material->flattenInternal(field_name, criterion, ghost_type,
_ek_regular);
}
}
}
/* -------------------------------------------------------------------------- */
/* Information */
/* -------------------------------------------------------------------------- */
/* -------------------------------------------------------------------------- */
void SolidMechanicsModel::synchronizeBoundaries() {
AKANTU_DEBUG_IN();
this->synchronize(_gst_smm_boundary);
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
void SolidMechanicsModel::synchronizeResidual() {
AKANTU_DEBUG_IN();
this->synchronize(_gst_smm_res);
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
void SolidMechanicsModel::setIncrementFlagOn() {
AKANTU_DEBUG_IN();
if (!displacement_increment) {
this->allocNodalField(displacement_increment, spatial_dimension,
"displacement_increment");
this->getDOFManager().registerDOFsIncrement("displacement",
*this->displacement_increment);
}
increment_flag = true;
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
Real SolidMechanicsModel::getStableTimeStep() {
AKANTU_DEBUG_IN();
Real min_dt = getStableTimeStep(_not_ghost);
/// reduction min over all processors
StaticCommunicator::getStaticCommunicator().allReduce(min_dt, _so_min);
AKANTU_DEBUG_OUT();
return min_dt;
}
/* -------------------------------------------------------------------------- */
Real SolidMechanicsModel::getStableTimeStep(const GhostType & ghost_type) {
AKANTU_DEBUG_IN();
Material ** mat_val = &(materials.at(0));
Real min_dt = std::numeric_limits<Real>::max();
this->updateCurrentPosition();
Element elem;
elem.ghost_type = ghost_type;
elem.kind = _ek_regular;
for (auto type :
mesh.elementTypes(spatial_dimension, ghost_type, _ek_regular)) {
elem.type = type;
UInt nb_nodes_per_element = mesh.getNbNodesPerElement(type);
UInt nb_element = mesh.getNbElement(type);
auto mat_indexes = material_index(type, ghost_type).begin();
auto mat_loc_num = material_local_numbering(type, ghost_type).begin();
Array<Real> X(0, nb_nodes_per_element * spatial_dimension);
FEEngine::extractNodalToElementField(mesh, *current_position, X, type,
_not_ghost);
auto X_el = X.begin(spatial_dimension, nb_nodes_per_element);
for (UInt el = 0; el < nb_element;
++el, ++X_el, ++mat_indexes, ++mat_loc_num) {
elem.element = *mat_loc_num;
Real el_h = getFEEngine().getElementInradius(*X_el, type);
Real el_c = mat_val[*mat_indexes]->getCelerity(elem);
Real el_dt = el_h / el_c;
min_dt = std::min(min_dt, el_dt);
}
}
AKANTU_DEBUG_OUT();
return min_dt;
}
/* -------------------------------------------------------------------------- */
Real SolidMechanicsModel::getKineticEnergy() {
AKANTU_DEBUG_IN();
Real ekin = 0.;
UInt nb_nodes = mesh.getNbNodes();
if (this->getDOFManager().hasLumpedMatrix("M")) {
Array<Real> M(nb_nodes, spatial_dimension);
this->getDOFManager().getLumpedMatrixPerDOFs("displacement", "M", M);
auto m_it = M.begin(spatial_dimension);
auto m_end = M.end(spatial_dimension);
auto v_it = this->velocity->begin(spatial_dimension);
for (UInt n = 0; m_it != m_end; ++n, ++m_it, ++v_it) {
Real mv2 = 0;
bool is_local_node = mesh.isLocalOrMasterNode(n);
bool is_not_pbc_slave_node = !isPBCSlaveNode(n);
bool count_node = is_local_node && is_not_pbc_slave_node;
if (count_node) {
for (UInt i = 0; i < spatial_dimension; ++i) {
Real v = (*v_it)(i);
mv2 += v * v * (*m_it)(i);
}
}
ekin += mv2;
}
} else if (this->getDOFManager().hasMatrix("M")) {
Array<Real> Mv(nb_nodes, spatial_dimension);
this->getDOFManager().getMatrix("M").matVecMul(*this->velocity, Mv);
Array<Real>::const_vector_iterator mv_it = Mv.begin(spatial_dimension);
Array<Real>::const_vector_iterator mv_end = Mv.end(spatial_dimension);
Array<Real>::const_vector_iterator v_it =
this->velocity->begin(spatial_dimension);
for (; mv_it != mv_end; ++mv_it, ++v_it) {
ekin += v_it->dot(*mv_it);
}
} else {
AKANTU_DEBUG_ERROR("No function called to assemble the mass matrix.");
}
StaticCommunicator::getStaticCommunicator().allReduce(ekin, _so_sum);
AKANTU_DEBUG_OUT();
return ekin * .5;
}
/* -------------------------------------------------------------------------- */
Real SolidMechanicsModel::getKineticEnergy(const ElementType & type,
UInt index) {
AKANTU_DEBUG_IN();
UInt nb_quadrature_points = getFEEngine().getNbIntegrationPoints(type);
Array<Real> vel_on_quad(nb_quadrature_points, spatial_dimension);
Array<UInt> filter_element(1, 1, index);
getFEEngine().interpolateOnIntegrationPoints(*velocity, vel_on_quad,
spatial_dimension, type,
_not_ghost, filter_element);
Array<Real>::vector_iterator vit = vel_on_quad.begin(spatial_dimension);
Array<Real>::vector_iterator vend = vel_on_quad.end(spatial_dimension);
Vector<Real> rho_v2(nb_quadrature_points);
Real rho = materials[material_index(type)(index)]->getRho();
for (UInt q = 0; vit != vend; ++vit, ++q) {
rho_v2(q) = rho * vit->dot(*vit);
}
AKANTU_DEBUG_OUT();
return .5 * getFEEngine().integrate(rho_v2, type, index);
}
/* -------------------------------------------------------------------------- */
Real SolidMechanicsModel::getExternalWork() {
AKANTU_DEBUG_IN();
Real * incr_or_velo = NULL;
if (this->method == _static) {
incr_or_velo = this->displacement_increment->storage();
} else {
incr_or_velo = this->velocity->storage();
}
Real * forc = external_force->storage();
Real * resi = internal_force->storage();
bool * boun = blocked_dofs->storage();
Real work = 0.;
UInt nb_nodes = this->mesh.getNbNodes();
for (UInt n = 0; n < nb_nodes; ++n) {
bool is_local_node = this->mesh.isLocalOrMasterNode(n);
bool is_not_pbc_slave_node = !this->isPBCSlaveNode(n);
bool count_node = is_local_node && is_not_pbc_slave_node;
for (UInt i = 0; i < this->spatial_dimension; ++i) {
if (count_node) {
if (*boun)
work -= *resi * *incr_or_velo;
else
work += *forc * *incr_or_velo;
}
++incr_or_velo;
++forc;
++resi;
++boun;
}
}
StaticCommunicator::getStaticCommunicator().allReduce(work, _so_sum);
if (this->method != _static)
work *= this->getTimeStep();
AKANTU_DEBUG_OUT();
return work;
}
/* -------------------------------------------------------------------------- */
Real SolidMechanicsModel::getEnergy(const std::string & energy_id) {
AKANTU_DEBUG_IN();
if (energy_id == "kinetic") {
return getKineticEnergy();
} else if (energy_id == "external work") {
return getExternalWork();
}
Real energy = 0.;
std::vector<Material *>::iterator mat_it;
for (mat_it = materials.begin(); mat_it != materials.end(); ++mat_it) {
energy += (*mat_it)->getEnergy(energy_id);
}
/// reduction sum over all processors
StaticCommunicator::getStaticCommunicator().allReduce(energy, _so_sum);
AKANTU_DEBUG_OUT();
return energy;
}
/* -------------------------------------------------------------------------- */
Real SolidMechanicsModel::getEnergy(const std::string & energy_id,
const ElementType & type, UInt index) {
AKANTU_DEBUG_IN();
if (energy_id == "kinetic") {
return getKineticEnergy(type, index);
}
std::vector<Material *>::iterator mat_it;
UInt mat_index = this->material_index(type, _not_ghost)(index);
UInt mat_loc_num = this->material_local_numbering(type, _not_ghost)(index);
Real energy =
this->materials[mat_index]->getEnergy(energy_id, type, mat_loc_num);
AKANTU_DEBUG_OUT();
return energy;
}
/* -------------------------------------------------------------------------- */
void SolidMechanicsModel::onElementsAdded(const Array<Element> & element_list,
const NewElementsEvent & event) {
AKANTU_DEBUG_IN();
this->getFEEngine().initShapeFunctions(_not_ghost);
this->getFEEngine().initShapeFunctions(_ghost);
for (auto ghost_type : ghost_types) {
for (auto type :
mesh.elementTypes(spatial_dimension, ghost_type, _ek_not_defined)) {
UInt nb_element = this->mesh.getNbElement(type, ghost_type);
if (!material_index.exists(type, ghost_type)) {
this->material_index.alloc(nb_element, 1, type, ghost_type);
this->material_local_numbering.alloc(nb_element, 1, type, ghost_type);
} else {
this->material_index(type, ghost_type).resize(nb_element);
this->material_local_numbering(type, ghost_type).resize(nb_element);
}
}
}
ElementTypeMapArray<UInt> filter("new_element_filter", this->getID(),
this->getMemoryID());
for (auto & elem : element_list) {
if (!filter.exists(elem.type, elem.ghost_type))
filter.alloc(0, 1, elem.type, elem.ghost_type);
filter(elem.type, elem.ghost_type).push_back(elem.element);
}
this->assignMaterialToElements(&filter);
for (auto material : materials)
material->onElementsAdded(element_list, event);
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
void SolidMechanicsModel::onElementsRemoved(
__attribute__((unused)) const Array<Element> & element_list,
const ElementTypeMapArray<UInt> & new_numbering,
const RemovedElementsEvent & event) {
this->getFEEngine().initShapeFunctions(_not_ghost);
this->getFEEngine().initShapeFunctions(_ghost);
std::vector<Material *>::iterator mat_it;
for (mat_it = materials.begin(); mat_it != materials.end(); ++mat_it) {
(*mat_it)->onElementsRemoved(element_list, new_numbering, event);
}
}
/* -------------------------------------------------------------------------- */
void SolidMechanicsModel::onNodesAdded(const Array<UInt> & nodes_list,
__attribute__((unused))
const NewNodesEvent & event) {
AKANTU_DEBUG_IN();
UInt nb_nodes = mesh.getNbNodes();
if (displacement)
displacement->resize(nb_nodes, 0.);
if (mass)
mass->resize(nb_nodes, 0.);
if (velocity)
velocity->resize(nb_nodes, 0.);
if (acceleration)
acceleration->resize(nb_nodes, 0.);
if (external_force)
external_force->resize(nb_nodes, 0.);
if (internal_force)
internal_force->resize(nb_nodes, 0.);
if (blocked_dofs)
blocked_dofs->resize(nb_nodes, 0.);
if (previous_displacement)
previous_displacement->resize(nb_nodes, 0.);
if (displacement_increment)
displacement_increment->resize(nb_nodes, 0.);
std::vector<Material *>::iterator mat_it;
for (mat_it = materials.begin(); mat_it != materials.end(); ++mat_it) {
(*mat_it)->onNodesAdded(nodes_list, event);
}
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
void SolidMechanicsModel::onNodesRemoved(__attribute__((unused))
const Array<UInt> & element_list,
const Array<UInt> & new_numbering,
__attribute__((unused))
const RemovedNodesEvent & event) {
if (displacement)
mesh.removeNodesFromArray(*displacement, new_numbering);
if (mass)
mesh.removeNodesFromArray(*mass, new_numbering);
if (velocity)
mesh.removeNodesFromArray(*velocity, new_numbering);
if (acceleration)
mesh.removeNodesFromArray(*acceleration, new_numbering);
if (internal_force)
mesh.removeNodesFromArray(*internal_force, new_numbering);
if (external_force)
mesh.removeNodesFromArray(*external_force, new_numbering);
if (blocked_dofs)
mesh.removeNodesFromArray(*blocked_dofs, new_numbering);
// if (increment_acceleration)
// mesh.removeNodesFromArray(*increment_acceleration, new_numbering);
if (displacement_increment)
mesh.removeNodesFromArray(*displacement_increment, new_numbering);
if (previous_displacement)
mesh.removeNodesFromArray(*previous_displacement, new_numbering);
// if (method != _explicit_lumped_mass) {
// this->initSolver();
// }
}
/* -------------------------------------------------------------------------- */
bool SolidMechanicsModel::isInternal(const std::string & field_name,
const ElementKind & element_kind) {
bool is_internal = false;
/// check if at least one material contains field_id as an internal
for (UInt m = 0; m < materials.size() && !is_internal; ++m) {
is_internal |= materials[m]->isInternal<Real>(field_name, element_kind);
}
return is_internal;
}
/* -------------------------------------------------------------------------- */
ElementTypeMap<UInt>
SolidMechanicsModel::getInternalDataPerElem(const std::string & field_name,
const ElementKind & element_kind) {
if (!(this->isInternal(field_name, element_kind)))
AKANTU_EXCEPTION("unknown internal " << field_name);
for (UInt m = 0; m < materials.size(); ++m) {
if (materials[m]->isInternal<Real>(field_name, element_kind))
return materials[m]->getInternalDataPerElem<Real>(field_name,
element_kind);
}
return ElementTypeMap<UInt>();
}
/* -------------------------------------------------------------------------- */
ElementTypeMapArray<Real> &
SolidMechanicsModel::flattenInternal(const std::string & field_name,
const ElementKind & kind,
const GhostType ghost_type) {
std::pair<std::string, ElementKind> key(field_name, kind);
if (this->registered_internals.count(key) == 0) {
this->registered_internals[key] =
new ElementTypeMapArray<Real>(field_name, this->id, this->memory_id);
}
ElementTypeMapArray<Real> * internal_flat = this->registered_internals[key];
for (auto type : mesh.elementTypes(spatial_dimension, ghost_type, kind)) {
if (internal_flat->exists(type, ghost_type)) {
(*internal_flat)(type, ghost_type).clear();
(*internal_flat)(type, ghost_type).resize(0);
}
}
for (auto material : materials) {
if (material->isInternal<Real>(field_name, kind))
material->flattenInternal(field_name, *internal_flat, ghost_type, kind);
}
return *internal_flat;
}
/* -------------------------------------------------------------------------- */
void SolidMechanicsModel::flattenAllRegisteredInternals(
const ElementKind & kind) {
ElementKind _kind;
ID _id;
for (auto & internal : this->registered_internals) {
std::tie(_id, _kind) = internal.first;
if (kind == _kind)
this->flattenInternal(_id, kind);
}
}
/* -------------------------------------------------------------------------- */
void SolidMechanicsModel::onDump() {
this->flattenAllRegisteredInternals(_ek_regular);
}
/* -------------------------------------------------------------------------- */
#ifdef AKANTU_USE_IOHELPER
dumper::Field * SolidMechanicsModel::createElementalField(
const std::string & field_name, const std::string & group_name,
bool padding_flag, const UInt & spatial_dimension,
const ElementKind & kind) {
dumper::Field * field = NULL;
if (field_name == "partitions")
field = mesh.createElementalField<UInt, dumper::ElementPartitionField>(
mesh.getConnectivities(), group_name, spatial_dimension, kind);
else if (field_name == "material_index")
field = mesh.createElementalField<UInt, Vector, dumper::ElementalField>(
material_index, group_name, spatial_dimension, kind);
else {
// this copy of field_name is used to compute derivated data such as
// strain and von mises stress that are based on grad_u and stress
std::string field_name_copy(field_name);
if (field_name == "strain" || field_name == "Green strain" ||
field_name == "principal strain" ||
field_name == "principal Green strain")
field_name_copy = "grad_u";
else if (field_name == "Von Mises stress")
field_name_copy = "stress";
bool is_internal = this->isInternal(field_name_copy, kind);
if (is_internal) {
ElementTypeMap<UInt> nb_data_per_elem =
this->getInternalDataPerElem(field_name_copy, kind);
ElementTypeMapArray<Real> & internal_flat =
this->flattenInternal(field_name_copy, kind);
field = mesh.createElementalField<Real, dumper::InternalMaterialField>(
internal_flat, group_name, spatial_dimension, kind, nb_data_per_elem);
if (field_name == "strain") {
dumper::ComputeStrain<false> * foo =
new dumper::ComputeStrain<false>(*this);
field = dumper::FieldComputeProxy::createFieldCompute(field, *foo);
} else if (field_name == "Von Mises stress") {
dumper::ComputeVonMisesStress * foo =
new dumper::ComputeVonMisesStress(*this);
field = dumper::FieldComputeProxy::createFieldCompute(field, *foo);
} else if (field_name == "Green strain") {
dumper::ComputeStrain<true> * foo =
new dumper::ComputeStrain<true>(*this);
field = dumper::FieldComputeProxy::createFieldCompute(field, *foo);
} else if (field_name == "principal strain") {
dumper::ComputePrincipalStrain<false> * foo =
new dumper::ComputePrincipalStrain<false>(*this);
field = dumper::FieldComputeProxy::createFieldCompute(field, *foo);
} else if (field_name == "principal Green strain") {
dumper::ComputePrincipalStrain<true> * foo =
new dumper::ComputePrincipalStrain<true>(*this);
field = dumper::FieldComputeProxy::createFieldCompute(field, *foo);
}
// treat the paddings
if (padding_flag) {
if (field_name == "stress") {
if (spatial_dimension == 2) {
dumper::StressPadder<2> * foo = new dumper::StressPadder<2>(*this);
field = dumper::FieldComputeProxy::createFieldCompute(field, *foo);
}
} else if (field_name == "strain" || field_name == "Green strain") {
if (spatial_dimension == 2) {
dumper::StrainPadder<2> * foo = new dumper::StrainPadder<2>(*this);
field = dumper::FieldComputeProxy::createFieldCompute(field, *foo);
}
}
}
// homogenize the field
dumper::ComputeFunctorInterface * foo =
dumper::HomogenizerProxy::createHomogenizer(*field);
field = dumper::FieldComputeProxy::createFieldCompute(field, *foo);
}
}
return field;
}
/* --------------------------------------------------------------------------
*/
dumper::Field *
SolidMechanicsModel::createNodalFieldReal(const std::string & field_name,
const std::string & group_name,
bool padding_flag) {
std::map<std::string, Array<Real> *> real_nodal_fields;
real_nodal_fields["displacement"] = this->displacement;
real_nodal_fields["mass"] = this->mass;
real_nodal_fields["velocity"] = this->velocity;
real_nodal_fields["acceleration"] = this->acceleration;
real_nodal_fields["force"] = this->external_force;
real_nodal_fields["internal_force"] = this->internal_force;
real_nodal_fields["increment"] = this->displacement_increment;
dumper::Field * field = NULL;
if (padding_flag)
field = this->mesh.createNodalField(real_nodal_fields[field_name],
group_name, 3);
else
field =
this->mesh.createNodalField(real_nodal_fields[field_name], group_name);
return field;
}
/* --------------------------------------------------------------------------
*/
dumper::Field * SolidMechanicsModel::createNodalFieldBool(
const std::string & field_name, const std::string & group_name,
__attribute__((unused)) bool padding_flag) {
std::map<std::string, Array<bool> *> uint_nodal_fields;
uint_nodal_fields["blocked_dofs"] = blocked_dofs;
dumper::Field * field = NULL;
field = mesh.createNodalField(uint_nodal_fields[field_name], group_name);
return field;
}
/* -------------------------------------------------------------------------- */
#else
/* --------------------------------------------------------------------------
*/
dumper::Field * SolidMechanicsModel::createElementalField(
__attribute__((unused)) const std::string & field_name,
__attribute__((unused)) const std::string & group_name,
__attribute__((unused)) bool padding_flag,
__attribute__((unused)) const UInt & spatial_dimension,
__attribute__((unused)) const ElementKind & kind) {
return NULL;
}
/* --------------------------------------------------------------------------
*/
dumper::Field * SolidMechanicsModel::createNodalFieldReal(
__attribute__((unused)) const std::string & field_name,
__attribute__((unused)) const std::string & group_name,
__attribute__((unused)) bool padding_flag) {
return NULL;
}
/* --------------------------------------------------------------------------
*/
dumper::Field * SolidMechanicsModel::createNodalFieldBool(
__attribute__((unused)) const std::string & field_name,
__attribute__((unused)) const std::string & group_name,
__attribute__((unused)) bool padding_flag) {
return NULL;
}
#endif
/* --------------------------------------------------------------------------
*/
void SolidMechanicsModel::dump(const std::string & dumper_name) {
this->onDump();
EventManager::sendEvent(SolidMechanicsModelEvent::BeforeDumpEvent());
mesh.dump(dumper_name);
}
/* --------------------------------------------------------------------------
*/
void SolidMechanicsModel::dump(const std::string & dumper_name, UInt step) {
this->onDump();
EventManager::sendEvent(SolidMechanicsModelEvent::BeforeDumpEvent());
mesh.dump(dumper_name, step);
}
/* -------------------------------------------------------------------------
*/
void SolidMechanicsModel::dump(const std::string & dumper_name, Real time,
UInt step) {
this->onDump();
EventManager::sendEvent(SolidMechanicsModelEvent::BeforeDumpEvent());
mesh.dump(dumper_name, time, step);
}
/* --------------------------------------------------------------------------
*/
void SolidMechanicsModel::dump() {
this->onDump();
EventManager::sendEvent(SolidMechanicsModelEvent::BeforeDumpEvent());
mesh.dump();
}
/* --------------------------------------------------------------------------
*/
void SolidMechanicsModel::dump(UInt step) {
this->onDump();
EventManager::sendEvent(SolidMechanicsModelEvent::BeforeDumpEvent());
mesh.dump(step);
}
/* --------------------------------------------------------------------------
*/
void SolidMechanicsModel::dump(Real time, UInt step) {
this->onDump();
EventManager::sendEvent(SolidMechanicsModelEvent::BeforeDumpEvent());
mesh.dump(time, step);
}
/* --------------------------------------------------------------------------
*/
void SolidMechanicsModel::printself(std::ostream & stream, int indent) const {
std::string space;
for (Int i = 0; i < indent; i++, space += AKANTU_INDENT)
;
stream << space << "Solid Mechanics Model [" << std::endl;
stream << space << " + id : " << id << std::endl;
stream << space << " + spatial dimension : " << spatial_dimension
<< std::endl;
stream << space << " + fem [" << std::endl;
getFEEngine().printself(stream, indent + 2);
stream << space << AKANTU_INDENT << "]" << std::endl;
stream << space << " + nodals information [" << std::endl;
displacement->printself(stream, indent + 2);
mass->printself(stream, indent + 2);
velocity->printself(stream, indent + 2);
acceleration->printself(stream, indent + 2);
external_force->printself(stream, indent + 2);
internal_force->printself(stream, indent + 2);
blocked_dofs->printself(stream, indent + 2);
stream << space << AKANTU_INDENT << "]" << std::endl;
stream << space << " + material information [" << std::endl;
material_index.printself(stream, indent + 2);
stream << space << AKANTU_INDENT << "]" << std::endl;
stream << space << " + materials [" << std::endl;
std::vector<Material *>::const_iterator mat_it;
for (mat_it = materials.begin(); mat_it != materials.end(); ++mat_it) {
const Material & mat = *(*mat_it);
mat.printself(stream, indent + 1);
}
stream << space << AKANTU_INDENT << "]" << std::endl;
stream << space << "]" << std::endl;
}
/* --------------------------------------------------------------------------
*/
__END_AKANTU__

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