material_linear_elastic_generic1.hh
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material_linear_elastic_generic1.hh
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			/**
			* @file material_linear_elastic_generic1.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 SRC_MATERIALS_MATERIAL_LINEAR_ELASTIC_GENERIC1_HH_
			#define SRC_MATERIALS_MATERIAL_LINEAR_ELASTIC_GENERIC1_HH_

			#include "common/common.hh"
			#include "materials/stress_transformations_PK2.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 MaterialLinearElasticGeneric1;

			/**
			* traits for use by MaterialMuSpectre for crtp
			*/
			template <Dim_t DimS, Dim_t DimM>
			struct MaterialMuSpectre_traits<MaterialLinearElasticGeneric1<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 MaterialLinearElasticGeneric1
			: public MaterialMuSpectre<MaterialLinearElasticGeneric1<DimS, DimM>,
			DimS, DimM> {
			public:
			//! parent type
			using Parent = MaterialMuSpectre<MaterialLinearElasticGeneric1<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
			MaterialLinearElasticGeneric1() = delete;

			/**
			* Constructor by name and stiffness tensor.
			*
			* @param name unique material name
			* @param C_voigt elastic tensor in Voigt notation
			*/
			MaterialLinearElasticGeneric1(const std::string & name,
			const CInput_t & C_voigt);

			//! Copy constructor
			MaterialLinearElasticGeneric1(const MaterialLinearElasticGeneric1 & other) =
			delete;

			//! Move constructor
			MaterialLinearElasticGeneric1(MaterialLinearElasticGeneric1 && other) =
			delete;

			//! Destructor
			virtual ~MaterialLinearElasticGeneric1() = default;

			//! Copy assignment operator
			MaterialLinearElasticGeneric1 &
			operator=(const MaterialLinearElasticGeneric1 & other) = delete;

			//! Move assignment operator
			MaterialLinearElasticGeneric1 &
			operator=(MaterialLinearElasticGeneric1 && 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 Derived>
			inline decltype(auto)
			evaluate_stress_tangent(const Eigen::MatrixBase<Derived> & E);

			/**
			* return the empty internals tuple
			*/
			std::tuple<> & get_internals() { return this->internal_variables; }

			/**
			* return a reference to the stiffness tensor
			*/
			const T4Mat<Real, DimM> & get_C() const { return this->C; }

			protected:
			T4Mat<Real, DimM> C{}; //! stiffness tensor
			//! empty tuple
			std::tuple<> internal_variables{};
			};

			/* ---------------------------------------------------------------------- */
			template <Dim_t DimS, Dim_t DimM>
			template <class Derived>
			auto MaterialLinearElasticGeneric1<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 Derived>
			auto MaterialLinearElasticGeneric1<DimS, DimM>::evaluate_stress_tangent(
			const Eigen::MatrixBase<Derived> & E) -> decltype(auto) {
			using Stress_t = decltype(this->evaluate_stress(E));
			using Stiffness_t = Eigen::Map<T4Mat<Real, DimM>>;
			using Ret_t = std::tuple<Stress_t, Stiffness_t>;
			return Ret_t{this->evaluate_stress(E),
			Stiffness_t(this->C.data())};
			}
			} // namespace muSpectre

			#endif // SRC_MATERIALS_MATERIAL_LINEAR_ELASTIC_GENERIC1_HH_

muSpectre/src/materials/material_linear_elastic_generic1.hh89116df36865master

material_linear_elastic_generic1.hhView Options

muSpectre/src/materials/material_linear_elastic_generic1.hh
89116df36865master

material_linear_elastic_generic1.hh
View Options