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solid_mechanics_model_RVE.hh
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/**
* @file solid_mechanics_model_RVE.hh
* @author Aurelia Isabel Cuba Ramos <aurelia.cubaramos@epfl.ch>
* @date Wed Jan 13 14:54:18 2016
*
* @brief SMM for RVE computations in FE2 simulations
*
* @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/>.
*
*/
/* -------------------------------------------------------------------------- */
#ifndef __AKANTU_SOLID_MECHANICS_MODEL_RVE_HH__
#define __AKANTU_SOLID_MECHANICS_MODEL_RVE_HH__
/* -------------------------------------------------------------------------- */
#include "solid_mechanics_model.hh"
#include "aka_grid_dynamic.hh"
#include <unordered_set>
/* -------------------------------------------------------------------------- */
__BEGIN_AKANTU__
class SolidMechanicsModelRVE : public SolidMechanicsModel {
/* ------------------------------------------------------------------------ */
/* Constructors/Destructors */
/* ------------------------------------------------------------------------ */
public:
SolidMechanicsModelRVE(Mesh & mesh, bool use_RVE_mat_selector = true,
UInt spatial_dimension = _all_dimensions,
const ID & id = "solid_mechanics_model",
const MemoryID & memory_id = 0);
virtual ~SolidMechanicsModelRVE();
/* ------------------------------------------------------------------------ */
/* Methods */
/* ------------------------------------------------------------------------ */
public:
/// initialize completely the model
virtual void initFull(const ModelOptions & options = SolidMechanicsModelOptions(_static, true));
/// initialize the materials
virtual void initMaterials();
/// apply boundary contions based on macroscopic deformation gradient
virtual void applyBoundaryConditions(const Matrix<Real> & displacement_gradient);
/// advance the reactions -> grow gel and apply homogenized properties
void advanceASR(const Matrix<Real> & prestrain);
/// compute average stress or strain in the model
Real averageTensorField(UInt row_index, UInt col_index, const ID & field_type);
/// compute effective stiffness of the RVE
void homogenizeStiffness(Matrix<Real> & C_macro);
/// compute average eigenstrain
void homogenizeEigenGradU(Matrix<Real> & eigen_gradu_macro);
/// initialize the solver and the jacobian_matrix (called by initImplicit)
virtual void initSolver(SolverOptions & options = _solver_no_options);
/// allocate all vectors
virtual void initArrays();
/* ------------------------------------------------------------------------ */
/* Data Accessor inherited members */
/* ------------------------------------------------------------------------ */
inline virtual void unpackData(CommunicationBuffer & buffer,
const UInt index,
SynchronizationTag tag);
/* ------------------------------------------------------------------------ */
/* Accessors */
/* ------------------------------------------------------------------------ */
public:
AKANTU_GET_MACRO(CornerNodes, corner_nodes, const Array<UInt> &);
AKANTU_GET_MACRO(Volume, volume, Real);
private:
/// find the corner nodes
void findCornerNodes();
/// perform virtual testing
void performVirtualTesting(const Matrix<Real> & H, Matrix<Real> & eff_stresses, Matrix<Real> & eff_strains, const UInt test_no);
/* ------------------------------------------------------------------------ */
/* Members */
/* ------------------------------------------------------------------------ */
/// volume of the RVE
Real volume;
/// corner nodes 1, 2, 3, 4 (see Leonardo's thesis, page 98)
Array<UInt> corner_nodes;
/// bottom nodes
std::unordered_set<UInt> bottom_nodes;
/// left nodes
std::unordered_set<UInt> left_nodes;
/// standard mat selector or user one
bool use_RVE_mat_selector;
StaticCommunicator * static_communicator_dummy;
};
inline void SolidMechanicsModelRVE::unpackData(CommunicationBuffer & buffer,
const UInt index,
SynchronizationTag tag) {
SolidMechanicsModel::unpackData(buffer, index, tag);
if (tag == _gst_smm_uv) {
Array<Real>::vector_iterator disp_it
= displacement->begin(spatial_dimension);
Vector<Real> current_disp(disp_it[index]);
// if node is at the bottom, u_bottom = u_top +u_2 -u_3
if ( bottom_nodes.count(index) ) {
current_disp += Vector<Real>(disp_it[corner_nodes(1)]);
current_disp -= Vector<Real>(disp_it[corner_nodes(2)]);
}
// if node is at the left, u_left = u_right +u_4 -u_3
else if ( left_nodes.count(index) ) {
current_disp += Vector<Real>(disp_it[corner_nodes(3)]);
current_disp -= Vector<Real>(disp_it[corner_nodes(2)]);
}
}
}
/* -------------------------------------------------------------------------- */
/* ASR material selector */
/* -------------------------------------------------------------------------- */
class GelMaterialSelector : public MeshDataMaterialSelector<std::string> {
public:
GelMaterialSelector(SolidMechanicsModel & model,
const Real box_size,
const std::string & gel_material,
const UInt nb_gel_pockets,
Real tolerance = 0.) :
MeshDataMaterialSelector<std::string>("physical_names", model),
model(model),
gel_material(gel_material),
nb_gel_pockets(nb_gel_pockets),
nb_placed_gel_pockets(0),
box_size(box_size) {
Mesh & mesh = this->model.getMesh();
UInt spatial_dimension = model.getSpatialDimension();
const Vector<Real> & lower_bounds = mesh.getLowerBounds();
const Vector<Real> & upper_bounds = mesh.getUpperBounds();
Vector<Real> gcenter(spatial_dimension);
for (UInt i = 0; i < spatial_dimension; ++i) {
gcenter[i] = (upper_bounds[i] + lower_bounds[i]) / 2.;
}
Real grid_box_size = upper_bounds[0] - lower_bounds[0];
Real grid_spacing = grid_box_size/7;
Vector<Real> gspacing(spatial_dimension, grid_spacing);
SpatialGrid<Element> grid(spatial_dimension, gspacing, gcenter);
ElementType type = _triangle_3;
GhostType ghost_type = _not_ghost;
UInt nb_element = mesh.getNbElement(type, ghost_type);
Element el;
el.type = type;
el.ghost_type = ghost_type;
Array<Real> barycenter(0,2);
barycenter.resize(nb_element);
Array<Real>::vector_iterator bary_it = barycenter.begin(spatial_dimension);
for (UInt elem = 0; elem < nb_element; ++bary_it, ++elem) {
mesh.getBarycenter(elem, type, bary_it->storage(), ghost_type);
el.element = elem;
grid.insert(el, *bary_it);
}
/// generate the gel pockets
srand(0.);
Vector<Real> center(model.getSpatialDimension());
for (UInt i = 0; i < this->nb_gel_pockets; ++i) {
center.clear();
center(0) = -box_size/2. + (box_size) * ((Real) rand() / (RAND_MAX));
center(1) = -box_size/2. + (box_size) * ((Real) rand() / (RAND_MAX));
Real min_dist = box_size;
el.element = 0;
bary_it = barycenter.begin(spatial_dimension);
/// find cell in which current bary center lies
SpatialGrid<Element>::CellID cell_id = grid.getCellID(center);
SpatialGrid<Element>::Cell::const_iterator first_el =
grid.beginCell(cell_id);
SpatialGrid<Element>::Cell::const_iterator last_el =
grid.endCell(cell_id);
/// loop over all the elements in that cell
for (;first_el != last_el; ++first_el){
const Element & elem = *first_el;
Vector<Real> bary = bary_it[elem.element];
if (center.distance(bary) <= min_dist) {
min_dist = center.distance(bary);
el.element = elem.element;
}
}
gel_pockets.push_back(el);
}
}
UInt operator()(const Element & elem) {
UInt temp_index = MeshDataMaterialSelector<std::string>::operator()(elem);
if (temp_index == 1)
return temp_index;
std::vector<Element>::const_iterator iit = gel_pockets.begin();
std::vector<Element>::const_iterator eit = gel_pockets.end();
if(std::find(iit, eit, elem) != eit) {
nb_placed_gel_pockets += 1;
std::cout << nb_placed_gel_pockets << " gelpockets placed" << std::endl;
return model.getMaterialIndex(gel_material);;
}
return 0;
}
protected:
SolidMechanicsModel & model;
std::string gel_material;
std::vector<Element> gel_pockets;
UInt nb_gel_pockets;
UInt nb_placed_gel_pockets;
Real box_size;
};
__END_AKANTU__
///#include "material_selector_tmpl.hh"
#endif /* __AKANTU_SOLID_MECHANICS_MODEL_RVE_HH__ */

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