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dumper_material_padders.hh
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dumper_material_padders.hh
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/**
* @file dumper_material_padders.hh
*
* @author Nicolas Richart <nicolas.richart@epfl.ch>
*
* @date creation: Tue Sep 02 2014
* @date last modification: Fri Sep 19 2014
*
* @brief Material padders for plane stress/ plane strain
*
* @section LICENSE
*
* Copyright (©) 2014 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_DUMPER_MATERIAL_PADDERS_HH__
#define __AKANTU_DUMPER_MATERIAL_PADDERS_HH__
/* -------------------------------------------------------------------------- */
#include "dumper_padding_helper.hh"
/* -------------------------------------------------------------------------- */
__BEGIN_AKANTU__
__BEGIN_AKANTU_DUMPER__
/* -------------------------------------------------------------------------- */
class MaterialFunctor {
/* ------------------------------------------------------------------------ */
/* Constructors/Destructors */
/* ------------------------------------------------------------------------ */
public:
MaterialFunctor(const SolidMechanicsModel & model) :
model(model),
material_index(model.getMaterialByElement()),
spatial_dimension(model.getSpatialDimension()){}
/* ------------------------------------------------------------------------ */
/* Methods */
/* ------------------------------------------------------------------------ */
/// return the material from the global element index
const Material & getMaterialFromGlobalIndex(Element global_index){
UInt index = global_index.getIndex();
UInt material_id = material_index(global_index.getType())(index);
const Material & material = model.getMaterial(material_id);
return material;
}
/// return the type of the element from global index
ElementType getElementTypeFromGlobalIndex(Element global_index){
return global_index.getType();
}
protected:
/* ------------------------------------------------------------------------ */
/* Class Members */
/* ------------------------------------------------------------------------ */
/// all material padders probably need access to solid mechanics model
const SolidMechanicsModel & model;
/// they also need an access to the map from global ids to material id and local ids
const ElementTypeMapArray<UInt> & material_index;
/// the number of data per element
const ElementTypeMapArray<UInt> nb_data_per_element;
UInt spatial_dimension;
};
/* -------------------------------------------------------------------------- */
template<class T, class R>
class MaterialPadder : public MaterialFunctor, public PadderGeneric<Vector<T>, R > {
public:
MaterialPadder(const SolidMechanicsModel & model) :
MaterialFunctor(model) {}
};
/* -------------------------------------------------------------------------- */
template <UInt spatial_dimension>
class StressPadder : public MaterialPadder<Real, Matrix<Real> > {
public:
StressPadder(const SolidMechanicsModel & model) :
MaterialPadder<Real, Matrix<Real> >(model){
this->setPadding(3,3);
}
inline Matrix<Real> func(const Vector<Real> & in, Element global_element_id){
UInt nrows = spatial_dimension;
UInt ncols = in.size() / nrows;
UInt nb_data = in.size() / (nrows*nrows);
Matrix<Real> stress = this->pad(in, nrows, ncols, nb_data);
const Material & material = this->getMaterialFromGlobalIndex(global_element_id);
bool plane_strain = true;
if(spatial_dimension == 2)
plane_strain = !material.getParam<bool>("Plane_Stress");
if(plane_strain) {
Real nu = material.getParam<Real>("nu");
for (UInt d = 0; d < nb_data; ++d) {
stress(2, 2 + 3*d) = nu * (stress(0, 0 + 3*d) + stress(1, 1 + 3*d));
}
}
return stress;
}
UInt getDim(){return 9;};
UInt getNbComponent(UInt old_nb_comp){
return this->getDim();
};
};
/* -------------------------------------------------------------------------- */
template<UInt spatial_dimension>
class StrainPadder : public MaterialFunctor, public PadderGeneric< Matrix<Real>, Matrix<Real> > {
public:
StrainPadder(const SolidMechanicsModel & model) :
MaterialFunctor(model) {
this->setPadding(3,3);
}
inline Matrix<Real> func(const Matrix<Real> & in, Element global_element_id){
UInt nrows = spatial_dimension;
UInt nb_data = in.size() / (nrows*nrows);
Matrix<Real> strain = this->pad(in, nb_data);
const Material & material = this->getMaterialFromGlobalIndex(global_element_id);
bool plane_stress = material.getParam<bool>("Plane_Stress");
if(plane_stress) {
Real nu = material.getParam<Real>("nu");
for (UInt d = 0; d < nb_data; ++d) {
strain(2, 2 + 3*d) = nu / (nu - 1) * (strain(0, 0 + 3*d) + strain(1, 1 + 3*d));
}
}
return strain;
}
UInt getDim(){return 9;};
UInt getNbComponent(UInt old_nb_comp){
return this->getDim();
};
};
/* -------------------------------------------------------------------------- */
template <bool green_strain>
class ComputeStrain : public MaterialFunctor, public ComputeFunctor<Vector<Real>, Matrix<Real> > {
public:
ComputeStrain(const SolidMechanicsModel & model) : MaterialFunctor(model) { }
inline Matrix<Real> func(const Vector<Real> & in, Element global_element_id){
UInt nrows = spatial_dimension;
UInt ncols = in.size() / nrows;
UInt nb_data = in.size() / (nrows*nrows);
Matrix<Real> ret_all_strain(nrows, ncols);
Tensor3<Real> all_grad_u(in.storage(), nrows, nrows, nb_data);
Tensor3<Real> all_strain(ret_all_strain.storage(), nrows, nrows, nb_data);
for (UInt d = 0; d < nb_data; ++d) {
Matrix<Real> grad_u = all_grad_u(d);
Matrix<Real> strain = all_strain(d);
if (spatial_dimension == 2) {
if (green_strain)
Material::gradUToGreenStrain<2>(grad_u, strain);
else
Material::gradUToEpsilon<2>(grad_u, strain);
}
else if (spatial_dimension == 3) {
if (green_strain)
Material::gradUToGreenStrain<3>(grad_u, strain);
else
Material::gradUToEpsilon<3>(grad_u, strain);
}
}
return ret_all_strain;
}
UInt getDim() { return spatial_dimension*spatial_dimension; };
UInt getNbComponent(UInt old_nb_comp){
return this->getDim();
};
};
/* -------------------------------------------------------------------------- */
template <bool green_strain>
class ComputePrincipalStrain : public MaterialFunctor, public ComputeFunctor<Vector<Real>,
Matrix<Real> > {
public:
ComputePrincipalStrain(const SolidMechanicsModel & model) : MaterialFunctor(model) { }
inline Matrix<Real> func(const Vector<Real> & in, Element global_element_id){
UInt nrows = spatial_dimension;
UInt nb_data = in.size() / (nrows*nrows);
Matrix<Real> ret_all_strain(nrows, nb_data);
Tensor3<Real> all_grad_u(in.storage(), nrows, nrows, nb_data);
Matrix<Real> strain(nrows, nrows);
for (UInt d = 0; d < nb_data; ++d) {
Matrix<Real> grad_u = all_grad_u(d);
if (spatial_dimension == 2) {
if (green_strain)
Material::gradUToGreenStrain<2>(grad_u, strain);
else
Material::gradUToEpsilon<2>(grad_u, strain);
}
else if (spatial_dimension == 3) {
if (green_strain)
Material::gradUToGreenStrain<3>(grad_u, strain);
else
Material::gradUToEpsilon<3>(grad_u, strain);
}
Vector<Real> principal_strain(ret_all_strain(d));
strain.eig(principal_strain);
}
return ret_all_strain;
}
UInt getDim() { return spatial_dimension; };
UInt getNbComponent(UInt old_nb_comp){
return this->getDim();
};
};
/* -------------------------------------------------------------------------- */
class ComputeVonMisesStress : public MaterialFunctor,
public ComputeFunctor<Vector<Real>, Vector<Real> > {
public:
ComputeVonMisesStress(const SolidMechanicsModel & model) : MaterialFunctor(model) { }
inline Vector<Real> func(const Vector<Real> & in, Element global_element_id){
UInt nrows = spatial_dimension;
UInt nb_data = in.size() / (nrows*nrows);
Vector<Real> von_mises_stress(nb_data);
Matrix<Real> deviatoric_stress(3, 3);
for (UInt d = 0; d < nb_data; ++d) {
Matrix<Real> cauchy_stress(in.storage() + d * nrows*nrows, nrows, nrows);
von_mises_stress(d) = Material::stressToVonMises(cauchy_stress);
}
return von_mises_stress;
}
UInt getDim() { return 1; };
UInt getNbComponent(UInt old_nb_comp){
return this->getDim();
};
};
/* -------------------------------------------------------------------------- */
__END_AKANTU_DUMPER__
__END_AKANTU__
#endif /* __AKANTU_DUMPER_MATERIAL_PADDERS_HH__ */

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