MaterialLib::Solids::LinearElasticIsotropic< DisplacementDim >::MaterialProperties Class Reference

Detailed Description

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

Variables specific to the material model.

Definition at line 24 of file SolidModels/LinearElasticIsotropic.h.

#include <LinearElasticIsotropic.h>

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

Public Member Functions
	MaterialProperties (P const &youngs_modulus, P const &poissons_ratio)
double	lambda (double const t, X const &x) const
	Lamé's first parameter.
double	mu (double const t, X const &x) const
	Lamé's second parameter, the shear modulus.
double	bulk_modulus (double const t, X const &x) const
	the bulk modulus.

Private Types
using	P = ParameterLib::Parameter<double>
using	X = ParameterLib::SpatialPosition

Private Attributes
P const &	_youngs_modulus
P const &	_poissons_ratio

Member Typedef Documentation

P

template<int DisplacementDim>

using MaterialLib::Solids::LinearElasticIsotropic< DisplacementDim >::MaterialProperties::P = ParameterLib::Parameter<double>

private

Definition at line 26 of file SolidModels/LinearElasticIsotropic.h.

X

template<int DisplacementDim>

using MaterialLib::Solids::LinearElasticIsotropic< DisplacementDim >::MaterialProperties::X = ParameterLib::SpatialPosition

private

Definition at line 27 of file SolidModels/LinearElasticIsotropic.h.

Constructor & Destructor Documentation

MaterialProperties()

template<int DisplacementDim>

MaterialLib::Solids::LinearElasticIsotropic< DisplacementDim >::MaterialProperties::MaterialProperties ( P const & youngs_modulus, P const & poissons_ratio )

inline

Definition at line 30 of file SolidModels/LinearElasticIsotropic.h.

            : _youngs_modulus(youngs_modulus), _poissons_ratio(poissons_ratio)
        {
        }

References _poissons_ratio, and _youngs_modulus.

Member Function Documentation

bulk_modulus()

template<int DisplacementDim>

double MaterialLib::Solids::LinearElasticIsotropic< DisplacementDim >::MaterialProperties::bulk_modulus ( double const t, X const & x ) const

inline

the bulk modulus.

Definition at line 51 of file SolidModels/LinearElasticIsotropic.h.

        {
            return _youngs_modulus(t, x)[0] /
                   (3 * (1 - 2 * _poissons_ratio(t, x)[0]));
        }

References _poissons_ratio, and _youngs_modulus.

lambda()

template<int DisplacementDim>

double MaterialLib::Solids::LinearElasticIsotropic< DisplacementDim >::MaterialProperties::lambda ( double const t, X const & x ) const

inline

Lamé's first parameter.

Definition at line 36 of file SolidModels/LinearElasticIsotropic.h.

        {
            return _youngs_modulus(t, x)[0] * _poissons_ratio(t, x)[0] /
                   (1 + _poissons_ratio(t, x)[0]) /
                   (1 - 2 * _poissons_ratio(t, x)[0]);
        }

References _poissons_ratio, and _youngs_modulus.

mu()

template<int DisplacementDim>

double MaterialLib::Solids::LinearElasticIsotropic< DisplacementDim >::MaterialProperties::mu ( double const t, X const & x ) const

inline

Lamé's second parameter, the shear modulus.

Definition at line 44 of file SolidModels/LinearElasticIsotropic.h.

        {
            return _youngs_modulus(t, x)[0] /
                   (2 * (1 + _poissons_ratio(t, x)[0]));
        }

References _poissons_ratio, and _youngs_modulus.

Member Data Documentation

_poissons_ratio

template<int DisplacementDim>

P const& MaterialLib::Solids::LinearElasticIsotropic< DisplacementDim >::MaterialProperties::_poissons_ratio

private

Definition at line 59 of file SolidModels/LinearElasticIsotropic.h.

Referenced by MaterialProperties(), bulk_modulus(), lambda(), and mu().

_youngs_modulus

template<int DisplacementDim>

P const& MaterialLib::Solids::LinearElasticIsotropic< DisplacementDim >::MaterialProperties::_youngs_modulus

private

Definition at line 58 of file SolidModels/LinearElasticIsotropic.h.

Referenced by MaterialProperties(), bulk_modulus(), lambda(), and mu().

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The documentation for this class was generated from the following file:

• SolidModels/LinearElasticIsotropic.h