SpECTRE
v2022.01.03

Base class for constitutive (stressstrain) 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 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...  
void  stress (gsl::not_null< tnsr::IJ< DataVector, Dim > * > stress, const tnsr::ii< DataVector, Dim > &strain, const tnsr::I< DataVector, Dim > &x) const 
The constitutive relation that characterizes the elastic properties of a material.  
Static Public Attributes  
static constexpr size_t  volume_dim = Dim 
Base class for constitutive (stressstrain) relations that characterize the elastic properties of a material.
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 [111]) 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 threedimensional and (possibly) anisotropic material.

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 >.