Detailed Description

template<int DisplacementDim>
class MaterialLib::Solids::LinearElasticIsotropic< DisplacementDim >

Definition at line 20 of file LinearElasticIsotropic.h.

#include <LinearElasticIsotropic.h>

Inheritance diagram for MaterialLib::Solids::LinearElasticIsotropic< DisplacementDim >:

Collaboration diagram for MaterialLib::Solids::LinearElasticIsotropic< DisplacementDim >:

Classes
class	MaterialProperties
	Variables specific to the material model. More...

Public Types
using	KelvinVector

using	KelvinMatrix

Public Types inherited from MaterialLib::Solids::MechanicsBase< DisplacementDim >
using	KelvinVector

using	KelvinMatrix

Public Member Functions
	LinearElasticIsotropic (MaterialProperties material_properties)

double	computeFreeEnergyDensity (double const, ParameterLib::SpatialPosition const &, double const, KelvinVector const &eps, KelvinVector const &sigma, typename MechanicsBase< DisplacementDim >::MaterialStateVariables const &) const override

std::optional< std::tuple< typename MechanicsBase< DisplacementDim >::KelvinVector, std::unique_ptr< typename MechanicsBase< DisplacementDim >::MaterialStateVariables >, typename MechanicsBase< DisplacementDim >::KelvinMatrix > >	integrateStress (MaterialPropertyLib::VariableArray const &variable_array_prev, MaterialPropertyLib::VariableArray const &variable_array, double const t, ParameterLib::SpatialPosition const &x, double const, typename MechanicsBase< DisplacementDim >::MaterialStateVariables const &material_state_variables) const override

KelvinMatrix	getElasticTensor (double const t, ParameterLib::SpatialPosition const &x, double const T) const

MaterialProperties	getMaterialProperties () const

double	getBulkModulus (double const t, ParameterLib::SpatialPosition const &x, KelvinMatrix const *const) const override

Public Member Functions inherited from MaterialLib::Solids::MechanicsBase< DisplacementDim >
virtual std::unique_ptr< MaterialStateVariables >	createMaterialStateVariables () const

virtual void	initializeInternalStateVariables (double const, ParameterLib::SpatialPosition const &, typename MechanicsBase< DisplacementDim >::MaterialStateVariables &) const

virtual std::optional< std::tuple< KelvinVector, std::unique_ptr< MaterialStateVariables >, KelvinMatrix > >	integrateStress (MaterialPropertyLib::VariableArray const &variable_array_prev, MaterialPropertyLib::VariableArray const &variable_array, double const t, ParameterLib::SpatialPosition const &x, double const dt, MaterialStateVariables const &material_state_variables) const =0

virtual std::vector< InternalVariable >	getInternalVariables () const

virtual ConstitutiveModel	getConstitutiveModel () const
	Gets the type of constitutive model.

virtual double	getTemperatureRelatedCoefficient (double const, double const, ParameterLib::SpatialPosition const &, double const, double const) const

virtual double	computeFreeEnergyDensity (double const t, ParameterLib::SpatialPosition const &x, double const dt, KelvinVector const &eps, KelvinVector const &sigma, MaterialStateVariables const &material_state_variables) const =0

virtual	~MechanicsBase ()=default

Static Public Attributes
static int const	KelvinVectorSize

Protected Attributes
MaterialProperties	_mp

Member Typedef Documentation

◆ KelvinMatrix

template<int DisplacementDim>

using MaterialLib::Solids::LinearElasticIsotropic< DisplacementDim >::KelvinMatrix

Initial value:

MathLib::KelvinVector::KelvinMatrixType<DisplacementDim>

MathLib::KelvinVector::KelvinMatrixType

Eigen::Matrix< double, kelvin_vector_dimensions(DisplacementDim), kelvin_vector_dimensions(DisplacementDim), Eigen::RowMajor > KelvinMatrixType

Definition KelvinVector.h:55

Definition at line 67 of file LinearElasticIsotropic.h.

◆ KelvinVector

template<int DisplacementDim>

using MaterialLib::Solids::LinearElasticIsotropic< DisplacementDim >::KelvinVector

Initial value:

MathLib::KelvinVector::KelvinVectorType<DisplacementDim>

MathLib::KelvinVector::KelvinVectorType

Eigen::Matrix< double, kelvin_vector_dimensions(DisplacementDim), 1, Eigen::ColMajor > KelvinVectorType

Definition KelvinVector.h:47

Definition at line 65 of file LinearElasticIsotropic.h.

Constructor & Destructor Documentation

◆ LinearElasticIsotropic()

template<int DisplacementDim>

MaterialLib::Solids::LinearElasticIsotropic< DisplacementDim >::LinearElasticIsotropic ( MaterialProperties material_properties )

inlineexplicit

Definition at line 70 of file LinearElasticIsotropic.h.

        : _mp(std::move(material_properties))
    {
    }

Member Function Documentation

◆ computeFreeEnergyDensity()

template<int DisplacementDim>

double MaterialLib::Solids::LinearElasticIsotropic< DisplacementDim >::computeFreeEnergyDensity	(	double const	,
		ParameterLib::SpatialPosition const &	,
		double const	,
		KelvinVector const &	eps,
		KelvinVector const &	sigma,
		typename MechanicsBase< DisplacementDim >::MaterialStateVariables const &	) const

inlineoverride

Definition at line 75 of file LinearElasticIsotropic.h.

    {
        return eps.dot(sigma) / 2;
    }

◆ getBulkModulus()

template<int DisplacementDim>

double MaterialLib::Solids::LinearElasticIsotropic< DisplacementDim >::getBulkModulus	(	double const	t,
		ParameterLib::SpatialPosition const &	x,
		KelvinMatrix const * const	) const

inlineoverridevirtual

Reimplemented from MaterialLib::Solids::MechanicsBase< DisplacementDim >.

Definition at line 107 of file LinearElasticIsotropic.h.

    {
        return _mp.bulk_modulus(t, x);
    }

References MaterialLib::Solids::LinearElasticIsotropic< DisplacementDim >::_mp, and MaterialLib::Solids::LinearElasticIsotropic< DisplacementDim >::MaterialProperties::bulk_modulus().

◆ getElasticTensor()

template<int DisplacementDim>

LinearElasticIsotropic< DisplacementDim >::KelvinMatrix MaterialLib::Solids::LinearElasticIsotropic< DisplacementDim >::getElasticTensor	(	double const	t,
		ParameterLib::SpatialPosition const &	x,
		double const	T ) const

Definition at line 53 of file LinearElasticIsotropic.cpp.

{
    return elasticTangentStiffness<DisplacementDim>(_mp.lambda(t, x),
                                                    _mp.mu(t, x));
}

References MaterialLib::Solids::elasticTangentStiffness().

◆ getMaterialProperties()

template<int DisplacementDim>

MaterialProperties MaterialLib::Solids::LinearElasticIsotropic< DisplacementDim >::getMaterialProperties ( ) const

inline

Definition at line 105 of file LinearElasticIsotropic.h.

105{ return _mp; }

References MaterialLib::Solids::LinearElasticIsotropic< DisplacementDim >::_mp.

◆ integrateStress()

template<int DisplacementDim>

std::optional< std::tuple< typename MechanicsBase< DisplacementDim >::KelvinVector, std::unique_ptr< typename MechanicsBase< DisplacementDim >::MaterialStateVariables >, typename MechanicsBase< DisplacementDim >::KelvinMatrix > > MaterialLib::Solids::LinearElasticIsotropic< DisplacementDim >::integrateStress	(	MaterialPropertyLib::VariableArray const &	variable_array_prev,
		MaterialPropertyLib::VariableArray const &	variable_array,
		double const	t,
		ParameterLib::SpatialPosition const &	x,
		double const	,
		typename MechanicsBase< DisplacementDim >::MaterialStateVariables const &	material_state_variables ) const

override

Definition at line 25 of file LinearElasticIsotropic.cpp.

{
    auto const& eps_m = std::get<MPL::SymmetricTensor<DisplacementDim>>(
        variable_array.mechanical_strain);
    auto const& eps_m_prev = std::get<MPL::SymmetricTensor<DisplacementDim>>(
        variable_array_prev.mechanical_strain);
    auto const& sigma_prev = std::get<MPL::SymmetricTensor<DisplacementDim>>(
        variable_array_prev.stress);
    auto const T = variable_array_prev.temperature;
 
    KelvinMatrix C = getElasticTensor(t, x, T);
 
    KelvinVector sigma = sigma_prev + C * (eps_m - eps_m_prev);
 
    return {std::make_tuple(
        sigma,
        std::make_unique<
            typename MechanicsBase<DisplacementDim>::MaterialStateVariables>(),
        C)};
}