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material_linear_elastic_generic.hh
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/**
* @file material_linear_elastic_generic.hh
*
* @author Till Junge <till.junge@altermail.ch>
*
* @date 21 Sep 2018
*
* @brief Implementation fo a generic linear elastic material that
* stores the full elastic stiffness tensor. Convenient but not the
* most efficient
*
* 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_GENERIC_H
#define MATERIAL_LINEAR_ELASTIC_GENERIC_H
#include "common/common.hh"
#include "common/T4_map_proxy.hh"
#include "materials/material_muSpectre_base.hh"
#include "common/tensor_algebra.hh"
namespace muSpectre {
/**
* forward declaration
*/
template <Dim_t DimS, Dim_t DimM>
class MaterialLinearElasticGeneric;
/**
* traits for use by MaterialMuSpectre for crtp
*/
template <Dim_t DimS, Dim_t DimM>
struct MaterialMuSpectre_traits<MaterialLinearElasticGeneric<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};
//! elasticity without internal variables
using InternalVariables = std::tuple<>;
};
/**
* Linear elastic law defined by a full stiffness tensor. Very
* generic, but not most efficient
*/
template <Dim_t DimS, Dim_t DimM>
class MaterialLinearElasticGeneric:
public MaterialMuSpectre<
MaterialLinearElasticGeneric<DimS, DimM>, DimS, DimM>
{
public:
//! parent type
using Parent = MaterialMuSpectre<
MaterialLinearElasticGeneric<DimS, DimM>, DimS, DimM>;
//! generic input tolerant to python input
using CInput_t = Eigen::Ref
<Eigen::Matrix<Real, Eigen::Dynamic, Eigen::Dynamic>, 0,
Eigen::Stride<Eigen::Dynamic, Eigen::Dynamic>>;
//! Default constructor
MaterialLinearElasticGeneric() = delete;
/**
* Constructor by name and stiffness tensor.
*
* @param name unique material name
* @param C_voigt elastic tensor in Voigt notation
*/
MaterialLinearElasticGeneric(const std::string & name,
const CInput_t& C_voigt);
//! Copy constructor
MaterialLinearElasticGeneric(const MaterialLinearElasticGeneric &other) = delete;
//! Move constructor
MaterialLinearElasticGeneric(MaterialLinearElasticGeneric &&other) = delete;
//! Destructor
virtual ~MaterialLinearElasticGeneric() = default;
//! Copy assignment operator
MaterialLinearElasticGeneric&
operator=(const MaterialLinearElasticGeneric &other) = delete;
//! Move assignment operator
MaterialLinearElasticGeneric&
operator=(MaterialLinearElasticGeneric &&other) = delete;
//! 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 Derived>
inline decltype(auto)
evaluate_stress(const Eigen::MatrixBase<Derived> & E);
/**
* 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>
inline decltype(auto) evaluate_stress_tangent(s_t && E);
/**
* return the empty internals tuple
*/
std::tuple<> & get_internals() {
return this->internal_variables;};
/**
* return a reference to teh stiffness tensor
*/
const T4Mat<Real, DimM>& get_C() const {return this->C;}
protected:
T4Mat<Real, DimM> C{};
//! empty tuple
std::tuple<> internal_variables{};
private:
};
/* ---------------------------------------------------------------------- */
template <Dim_t DimS, Dim_t DimM>
template <class Derived>
auto
MaterialLinearElasticGeneric<DimS, DimM>::
evaluate_stress(const Eigen::MatrixBase<Derived> & E)
-> decltype(auto) {
static_assert(Derived::ColsAtCompileTime == DimM,
"wrong input size");
static_assert(Derived::RowsAtCompileTime == DimM,
"wrong input size");
return Matrices::tensmult(this->C, E);
}
/* ---------------------------------------------------------------------- */
template <Dim_t DimS, Dim_t DimM>
template <class s_t>
auto
MaterialLinearElasticGeneric<DimS, DimM>::evaluate_stress_tangent(s_t && E)
-> decltype(auto) {
using Stress_t = decltype(this->evaluate_stress(std::forward<s_t>(E)));
using Stiffness_t = Eigen::Map<T4Mat<Real, DimM>>;
using Ret_t = std::tuple<Stress_t, Stiffness_t>;
return Ret_t{this->evaluate_stress(std::forward<s_t>(E)),
Stiffness_t(this->C.data())};
}
} // muSpectre
#endif /* MATERIAL_LINEAR_ELASTIC_GENERIC_H */

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