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material_linear_elastic2.hh
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/**
* @file material_linear_elastic2.hh
*
* @author Till Junge <till.junge@altermail.ch>
*
* @date 03 Feb 2018
*
* @brief linear elastic material with imposed eigenstrain and its
* type traits. Uses the MaterialMuSpectre facilities to keep it
* simple
*
* Copyright © 2018 Till Junge
*
* µSpectre 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, or (at
* your option) any later version.
*
* µSpectre 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
* General Public License for more details.
*
* You should have received a copy of the GNU Lesser General Public License
* along with µSpectre; see the file COPYING. If not, write to the
* Free Software Foundation, Inc., 59 Temple Place - Suite 330,
* * Boston, MA 02111-1307, USA.
*
* Additional permission under GNU GPL version 3 section 7
*
* If you modify this Program, or any covered work, by linking or combining it
* with proprietary FFT implementations or numerical libraries, containing parts
* covered by the terms of those libraries' licenses, the licensors of this
* Program grant you additional permission to convey the resulting work.
*/
#ifndef MATERIAL_LINEAR_ELASTIC_EIGENSTRAIN_H
#define MATERIAL_LINEAR_ELASTIC_EIGENSTRAIN_H
#include "materials/material_linear_elastic1.hh"
#include "common/field.hh"
#include <Eigen/Dense>
namespace muSpectre {
template <Dim_t DimS, Dim_t DimM>
class MaterialLinearElastic2;
/**
* traits for objective linear elasticity with eigenstrain
*/
template <Dim_t DimS, Dim_t DimM>
struct MaterialMuSpectre_traits<MaterialLinearElastic2<DimS, DimM>>
{
//! global field collection
using GFieldCollection_t = typename
MaterialBase<DimS, DimM>::GFieldCollection_t;
//! expected map type for strain fields
using StrainMap_t = MatrixFieldMap<GFieldCollection_t, Real, DimM, DimM, true>;
//! expected map type for stress fields
using StressMap_t = MatrixFieldMap<GFieldCollection_t, Real, DimM, DimM>;
//! expected map type for tangent stiffness fields
using TangentMap_t = T4MatrixFieldMap<GFieldCollection_t, Real, DimM>;
//! declare what type of strain measure your law takes as input
constexpr static auto strain_measure{StrainMeasure::GreenLagrange};
//! declare what type of stress measure your law yields as output
constexpr static auto stress_measure{StressMeasure::PK2};
//! local field_collections used for internals
using LFieldColl_t = LocalFieldCollection<DimS>;
//! local strain type
using LStrainMap_t = MatrixFieldMap<LFieldColl_t, Real, DimM, DimM, true>;
//! elasticity with eigenstrain
using InternalVariables = std::tuple<LStrainMap_t>;
};
/**
* implements objective linear elasticity with an eigenstrain per pixel
*/
template <Dim_t DimS, Dim_t DimM>
class MaterialLinearElastic2:
public MaterialMuSpectre<MaterialLinearElastic2<DimS, DimM>, DimS, DimM>
{
public:
//! base class
using Parent = MaterialMuSpectre<MaterialLinearElastic2, DimS, DimM>;
//! type for stiffness tensor construction
using Stiffness_t = Eigen::TensorFixedSize
<Real, Eigen::Sizes<DimM, DimM, DimM, DimM>>;
//! traits of this material
using traits = MaterialMuSpectre_traits<MaterialLinearElastic2>;
//! Type of container used for storing eigenstrain
using InternalVariables = typename traits::InternalVariables;
//! Hooke's law implementation
using Hooke = typename
MatTB::Hooke<DimM,
typename traits::StrainMap_t::reference,
typename traits::TangentMap_t::reference>;
//! reference to any type that casts to a matrix
using StrainTensor = Eigen::Ref<Eigen::Matrix<Real, DimM, DimM>>;
//! Default constructor
MaterialLinearElastic2() = delete;
//! Construct by name, Young's modulus and Poisson's ratio
MaterialLinearElastic2(std::string name, Real young, Real poisson);
//! Copy constructor
MaterialLinearElastic2(const MaterialLinearElastic2 &other) = delete;
//! Move constructor
MaterialLinearElastic2(MaterialLinearElastic2 &&other) = delete;
//! Destructor
virtual ~MaterialLinearElastic2() = default;
//! Copy assignment operator
MaterialLinearElastic2& operator=(const MaterialLinearElastic2 &other) = delete;
//! Move assignment operator
MaterialLinearElastic2& operator=(MaterialLinearElastic2 &&other) = delete;
/**
* evaluates second Piola-Kirchhoff stress given the Green-Lagrange
* strain (or Cauchy stress if called with a small strain tensor)
*/
template <class s_t, class eigen_s_t>
inline decltype(auto) evaluate_stress(s_t && E, eigen_s_t && E_eig);
/**
* evaluates both second Piola-Kirchhoff stress and stiffness given
* the Green-Lagrange strain (or Cauchy stress and stiffness if
* called with a small strain tensor)
*/
template <class s_t, class eigen_s_t>
inline decltype(auto)
evaluate_stress_tangent(s_t && E, eigen_s_t && E_eig);
/**
* return the internals tuple
*/
InternalVariables & get_internals() {
return this->internal_variables;};
/**
* overload add_pixel to write into eigenstrain
*/
void add_pixel(const Ccoord_t<DimS> & pixel) override final;
/**
* overload add_pixel to write into eigenstrain
*/
void add_pixel(const Ccoord_t<DimS> & pixel,
const StrainTensor & E_eig);
protected:
//! linear material without eigenstrain used to compute response
MaterialLinearElastic1<DimS, DimM> material;
//! storage for eigenstrain
using Field_t =
TensorField<LocalFieldCollection<DimS>, Real, secondOrder, DimM>;
Field_t & eigen_field; //!< field holding the eigen strain per pixel
//! tuple for iterable eigen_field
InternalVariables internal_variables;
private:
};
/* ---------------------------------------------------------------------- */
template <Dim_t DimS, Dim_t DimM>
template <class s_t, class eigen_s_t>
auto
MaterialLinearElastic2<DimS, DimM>::
evaluate_stress(s_t && E, eigen_s_t && E_eig) -> decltype(auto) {
return this->material.evaluate_stress(E-E_eig);
}
/* ---------------------------------------------------------------------- */
template <Dim_t DimS, Dim_t DimM>
template <class s_t, class eigen_s_t>
auto
MaterialLinearElastic2<DimS, DimM>::
evaluate_stress_tangent(s_t && E, eigen_s_t && E_eig) -> decltype(auto) {
// using mat = Eigen::Matrix<Real, DimM, DimM>;
// mat ecopy{E};
// mat eig_copy{E_eig};
// mat ediff{ecopy-eig_copy};
// std::cout << "eidff - (E-E_eig)" << std::endl << ediff-(E-E_eig) << std::endl;
// std::cout << "P1 <internal>" << std::endl << mat{std::get<0>(this->material.evaluate_stress_tangent(E-E_eig))} << "</internal>" << std::endl;
// std::cout << "P2" << std::endl << mat{std::get<0>(this->material.evaluate_stress_tangent(std::move(ediff)))} << std::endl;
return this->material.evaluate_stress_tangent(E-E_eig);
}
} // muSpectre
#endif /* MATERIAL_LINEAR_ELASTIC_EIGENSTRAIN_H */

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