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material_linear_elastic_generic2.hh
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/**
* @file material_linear_elastic_generic2.hh
*
* @author Till Junge <till.junge@epfl.ch>
*
* @date 20 Dec 2018
*
* @brief implementation of a generic linear elastic law with eigenstrains
*
* 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 SRC_MATERIALS_MATERIAL_LINEAR_ELASTIC_GENERIC2_HH_
#define SRC_MATERIALS_MATERIAL_LINEAR_ELASTIC_GENERIC2_HH_
#include "material_linear_elastic_generic1.hh"
namespace muSpectre {
/**
* forward declaration
*/
template <Dim_t DimS, Dim_t DimM>
class MaterialLinearElasticGeneric2;
/**
* traits for use by MaterialMuSpectre for crtp
*/
template <Dim_t DimS, Dim_t DimM>
struct MaterialMuSpectre_traits<MaterialLinearElasticGeneric2<DimS, DimM>> {
//! global field collection
using GFieldCollection_t =
typename MaterialBase<DimS, DimM>::GFieldCollection_t;
//! expected map type for strain fields
using StrainMap_t =
muGrid::MatrixFieldMap<GFieldCollection_t, Real, DimM, DimM, true>;
//! expected map type for stress fields
using StressMap_t =
muGrid::MatrixFieldMap<GFieldCollection_t, Real, DimM, DimM>;
//! expected map type for tangent stiffness fields
using TangentMap_t =
muGrid::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 = muGrid::LocalFieldCollection<DimS>;
//! local strain type
using LStrainMap_t =
muGrid::MatrixFieldMap<LFieldColl_t, Real, DimM, DimM, true>;
//! elasticity with eigenstrain
using InternalVariables = std::tuple<LStrainMap_t>;
};
/**
* Implementation proper of the class
*/
template <Dim_t DimS, Dim_t DimM>
class MaterialLinearElasticGeneric2
: public MaterialMuSpectre<MaterialLinearElasticGeneric2<DimS, DimM>,
DimS, DimM> {
//! parent type
using Parent = MaterialMuSpectre<MaterialLinearElasticGeneric2<DimS, DimM>,
DimS, DimM>;
//! underlying worker class
using Law_t = MaterialLinearElasticGeneric1<DimS, DimM>;
//! generic input tolerant to python input
using CInput_t = typename Law_t::CInput_t;
//! reference to any type that casts to a matrix
using StrainTensor = Eigen::Ref<Eigen::Matrix<Real, DimM, DimM>>;
//! traits of this material
using traits = MaterialMuSpectre_traits<MaterialLinearElasticGeneric2>;
//! Type of container used for storing eigenstrain
using InternalVariables_t = typename traits::InternalVariables;
public:
//! Default constructor
MaterialLinearElasticGeneric2() = delete;
//! Construct by name and elastic stiffness tensor
MaterialLinearElasticGeneric2(const std::string & name,
const CInput_t & C_voigt);
//! Copy constructor
MaterialLinearElasticGeneric2(const MaterialLinearElasticGeneric2 & other) =
delete;
//! Move constructor
MaterialLinearElasticGeneric2(MaterialLinearElasticGeneric2 && other) =
default;
//! Destructor
virtual ~MaterialLinearElasticGeneric2() = default;
//! Copy assignment operator
MaterialLinearElasticGeneric2 &
operator=(const MaterialLinearElasticGeneric2 & other) = delete;
//! Move assignment operator
MaterialLinearElasticGeneric2 &
operator=(MaterialLinearElasticGeneric2 && other) = default;
//! see
//! http://eigen.tuxfamily.org/dox/group__TopicStructHavingEigenMembers.html
EIGEN_MAKE_ALIGNED_OPERATOR_NEW;
/**
* evaluates second Piola-Kirchhoff stress given the Green-Lagrange
* strain (or Cauchy stress if called with a small strain tensor)
*/
template <class DerivedA, class DerivedB>
inline decltype(auto)
evaluate_stress(const Eigen::MatrixBase<DerivedA> & E,
const Eigen::MatrixBase<DerivedB> & 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 DerivedA, class DerivedB>
inline decltype(auto)
evaluate_stress_tangent(const Eigen::MatrixBase<DerivedA> & E,
const Eigen::MatrixBase<DerivedB> & E_eig);
/**
* returns tuple with only the eigenstrain field
*/
InternalVariables_t & get_internals() { return this->internal_variables; }
/**
* return a reference to the stiffness tensor
*/
const muGrid::T4Mat<Real, DimM> & get_C() const {
return this->worker.get_C();
}
/**
* overload add_pixel to write into eigenstrain
*/
void add_pixel(const Ccoord_t<DimS> & pixel) final;
/**
* overload add_pixel to write into eigenstrain
*/
void add_pixel(const Ccoord_t<DimS> & pixel, const StrainTensor & E_eig);
protected:
Law_t worker; //! underlying law to be evaluated
//! storage for eigenstrain
using Field_t = muGrid::TensorField<muGrid::LocalFieldCollection<DimS>,
Real, secondOrder, DimM>;
Field_t & eigen_field; //!< field holding the eigen strain per pixel
InternalVariables_t internal_variables;
};
/* ---------------------------------------------------------------------- */
template <Dim_t DimS, Dim_t DimM>
template <class DerivedA, class DerivedB>
auto MaterialLinearElasticGeneric2<DimS, DimM>::evaluate_stress(
const Eigen::MatrixBase<DerivedA> & E,
const Eigen::MatrixBase<DerivedB> & E_eig) -> decltype(auto) {
return this->worker.evaluate_stress(E - E_eig);
}
/* ---------------------------------------------------------------------- */
template <Dim_t DimS, Dim_t DimM>
template <class DerivedA, class DerivedB>
auto MaterialLinearElasticGeneric2<DimS, DimM>::evaluate_stress_tangent(
const Eigen::MatrixBase<DerivedA> & E,
const Eigen::MatrixBase<DerivedB> & E_eig) -> decltype(auto) {
return this->worker.evaluate_stress_tangent(E - E_eig);
}
} // namespace muSpectre
#endif // SRC_MATERIALS_MATERIAL_LINEAR_ELASTIC_GENERIC2_HH_

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