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material_linear_elastic1.hh
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			/**
			* @file material_linear_elastic1.hh
			*
			* @author Till Junge <till.junge@epfl.ch>
			*
			* @date 13 Nov 2017
			*
			* @brief Implementation for linear elastic reference material like in de Geus
			* 2017. This follows the simplest and likely not most efficient
			* implementation (with exception of the Python law)
			*
			* Copyright © 2017 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_ELASTIC1_HH_
			#define SRC_MATERIALS_MATERIAL_LINEAR_ELASTIC1_HH_

			#include "common/common.hh"
			#include "materials/stress_transformations_PK2.hh"
			#include "materials/material_muSpectre_base.hh"
			#include "materials/materials_toolbox.hh"

			namespace muSpectre {
			template <Dim_t DimS, Dim_t DimM>
			class MaterialLinearElastic1;

			/**
			* traits for objective linear elasticity
			*/
			template <Dim_t DimS, Dim_t DimM>
			struct MaterialMuSpectre_traits<MaterialLinearElastic1<DimS, DimM>> {
			using Parent = MaterialMuSpectre_traits<void>; //!< base for elasticity

			//! 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<>;
			};

			//! DimS spatial dimension (dimension of problem
			//! DimM material_dimension (dimension of constitutive law)
			/**
			* implements objective linear elasticity
			*/
			template <Dim_t DimS, Dim_t DimM>
			class MaterialLinearElastic1
			: public MaterialMuSpectre<MaterialLinearElastic1<DimS, DimM>, DimS,
			DimM> {
			public:
			//! base class
			using Parent = MaterialMuSpectre<MaterialLinearElastic1, DimS, DimM>;
			/**
			* type used to determine whether the
			* `muSpectre::MaterialMuSpectre::iterable_proxy` evaluate only
			* stresses or also tangent stiffnesses
			*/
			using NeedTangent = typename Parent::NeedTangent;
			//! global field collection

			using Stiffness_t =
			Eigen::TensorFixedSize<Real, Eigen::Sizes<DimM, DimM, DimM, DimM>>;

			//! traits of this material
			using traits = MaterialMuSpectre_traits<MaterialLinearElastic1>;

			//! this law does not have any internal variables
			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>;

			//! Default constructor
			MaterialLinearElastic1() = delete;

			//! Copy constructor
			MaterialLinearElastic1(const MaterialLinearElastic1 & other) = delete;

			//! Construct by name, Young's modulus and Poisson's ratio
			MaterialLinearElastic1(std::string name, Real young, Real poisson);

			//! Move constructor
			MaterialLinearElastic1(MaterialLinearElastic1 && other) = delete;

			//! Destructor
			virtual ~MaterialLinearElastic1() = default;

			//! Copy assignment operator
			MaterialLinearElastic1 &
			operator=(const MaterialLinearElastic1 & other) = delete;

			//! Move assignment operator
			MaterialLinearElastic1 &
			operator=(MaterialLinearElastic1 && 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>
			inline decltype(auto) evaluate_stress(s_t && 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
			*/
			InternalVariables & get_internals() { return this->internal_variables; }

			protected:
			const Real young; //!< Young's modulus
			const Real poisson; //!< Poisson's ratio
			const Real lambda; //!< first Lamé constant
			const Real mu; //!< second Lamé constant (shear modulus)
			const Stiffness_t C; //!< stiffness tensor
			//! empty tuple
			InternalVariables internal_variables{};

			private:
			};

			/* ---------------------------------------------------------------------- */
			template <Dim_t DimS, Dim_t DimM>
			template <class s_t>
			auto MaterialLinearElastic1<DimS, DimM>::evaluate_stress(s_t && E)
			-> decltype(auto) {
			return Hooke::evaluate_stress(this->lambda, this->mu, std::move(E));
			}

			/* ---------------------------------------------------------------------- */
			template <Dim_t DimS, Dim_t DimM>
			template <class s_t>
			auto MaterialLinearElastic1<DimS, DimM>::evaluate_stress_tangent(s_t && E)
			-> decltype(auto) {
			using Tangent_t = typename traits::TangentMap_t::reference;

			return Hooke::evaluate_stress(
			this->lambda, this->mu, Tangent_t(const_cast<double *>(this->C.data())),
			std::move(E));
			}

			} // namespace muSpectre

			#endif // SRC_MATERIALS_MATERIAL_LINEAR_ELASTIC1_HH_

muSpectre/src/materials/material_linear_elastic1.hh89116df36865feat/crystal_plasticity…

material_linear_elastic1.hhView Options

muSpectre/src/materials/material_linear_elastic1.hh
89116df36865feat/crystal_plasticity…

material_linear_elastic1.hh
View Options