Base class for constitutive (stress-strain) relations that characterize the elastic properties of a material. More...

#include <ConstitutiveRelation.hpp>

Public Member Functions
	ConstitutiveRelation (const ConstitutiveRelation &)=default

ConstitutiveRelation &	operator= (const ConstitutiveRelation &)=default

	ConstitutiveRelation (ConstitutiveRelation &&)=default

ConstitutiveRelation &	operator= (ConstitutiveRelation &&)=default

	WRAPPED_PUPable_abstract (ConstitutiveRelation)

virtual std::unique_ptr< ConstitutiveRelation< Dim > >	get_clone () const =0
	Returns a `std::unique_ptr` pointing to a copy of the `ConstitutiveRelation`. More...

virtual void	stress (gsl::not_null< tnsr::II< DataVector, Dim > * > stress, const tnsr::ii< DataVector, Dim > &strain, const tnsr::I< DataVector, Dim > &x) const =0
	The constitutive relation that characterizes the elastic properties of a material. More...

Static Public Attributes
static constexpr size_t	volume_dim = Dim

Detailed Description

template<size_t Dim>
class Elasticity::ConstitutiveRelations::ConstitutiveRelation< Dim >

Base class for constitutive (stress-strain) relations that characterize the elastic properties of a material.

Details

A constitutive relation, in the context of elasticity, relates the Stress \(T^{ij}\) and Strain \(S_{ij}=\nabla_{(i}u_{j)}\) within an elastic material (see Elasticity). For small stresses it is approximated by the linear relation

\[ T^{ij} = -Y^{ijkl}S_{kl} \]

(Eq. 11.17 in [179]) that is referred to as Hooke's law. The constitutive relation in this linear approximation is determined by the elasticity (or Young's) tensor \(Y^{ijkl}=Y^{(ij)(kl)}=Y^{klij}\) that generalizes a simple proportionality to a three-dimensional and (possibly) anisotropic material.

Note: We assume a Euclidean metric in Cartesian coordinates here (for now).

Member Function Documentation

◆ get_clone()

template<size_t Dim>

virtual std::unique_ptr< ConstitutiveRelation< Dim > > Elasticity::ConstitutiveRelations::ConstitutiveRelation< Dim >::get_clone ( ) const

pure virtual

Returns a std::unique_ptr pointing to a copy of the ConstitutiveRelation.

Implemented in Elasticity::ConstitutiveRelations::CubicCrystal, Elasticity::ConstitutiveRelations::IsotropicHomogeneous< Dim >, Elasticity::ConstitutiveRelations::IsotropicHomogeneous< 2 >, and Elasticity::ConstitutiveRelations::IsotropicHomogeneous< 3 >.

◆ stress()

template<size_t Dim>

virtual void Elasticity::ConstitutiveRelations::ConstitutiveRelation< Dim >::stress	(	gsl::not_null< tnsr::II< DataVector, Dim > * >	stress,
		const tnsr::ii< DataVector, Dim > &	strain,
		const tnsr::I< DataVector, Dim > &	x
	)		const

pure virtual

The constitutive relation that characterizes the elastic properties of a material.

Implemented in Elasticity::ConstitutiveRelations::IsotropicHomogeneous< Dim >, Elasticity::ConstitutiveRelations::IsotropicHomogeneous< 2 >, and Elasticity::ConstitutiveRelations::IsotropicHomogeneous< 3 >.

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

src/PointwiseFunctions/Elasticity/ConstitutiveRelations/ConstitutiveRelation.hpp

Public Member Functions

Static Public Attributes

Detailed Description

Details

Member Function Documentation

◆ get_clone()

◆ stress()