Kaskade::Elastomechanics::MaterialLaws Namespace Reference

A namespace containing various material laws. More...

Classes
class	BlatzKo
	Blatz-Ko material law for rubber foams in terms of the shifted invariants \( i_1, i_2, i_3 \) of the doubled Green-Lagrange strain tensor \( 2E \). More...
class	CompressibleInvariantsMaterialLaw
	Adaptor for hyperelastic material laws, providing an easy way to formulate compressible material laws in terms of the invariants of the isochoric part \( \bar C = C/(det C)^(1/d) \) of the Cauchy-Green strain tensor and a penalization of the deviatoric part \( I_d \). More...
class	InvariantsMaterialLaw
	Adaptor for hyperelastic material laws, providing an easy way to formulate incompressible material laws in terms of the invariants of the Cauchy-Green strain tensor \( C = I+2E\). More...
class	MaterialLawBase
	Base class for hyperelastic material laws, providing default implementations of the stress and the tangent stiffness tensor \( C \). More...
class	MooneyRivlin
	Mooney-Rivlin material law formulated in terms of the (shifted) invariants \( i_1, i_2, i_3 \) of the doubled Green-Lagrange strain tensor \( 2E \). More...
class	NeoHookean
	Neo-Hookean material law formulated in terms of the shifted invariants \( i_1, i_2, i_3 \) of the doubled Green-Lagrange strain tensor \( 2E \). More...
class	OrthotropicLinearMaterial
	Orthotropic linear material law. More...
class	OrthotropicNonLinearMaterial
class	StVenantKirchhoff
	The St. Venant-Kirchhoff material, foundation of linear elastomechanics. More...
class	ViscoPlasticEnergy
	An adaptor for using hyperelastic stored energies for viscoplasticity. More...

Functions
template<int dim, class Scalar >
Scalar	vonMisesStress (Dune::FieldMatrix< Scalar, dim, dim > const &stress)
	Computes the von Mises equivalent stress \( \sigma_v \). More...
template<int dim, class Scalar = double>
Dune::FieldVector< Scalar, dim *(dim+1)/2 >	duvautLionsJ2Flow (Dune::FieldMatrix< Scalar, dim, dim > const &cauchyStress, Dune::FieldMatrix< Scalar, dim *(dim+1)/2, dim *(dim+1)/2 > const &C, double tau, double sigmaY)
	A simple Duvaut-Lions flow rule with \( J_2 \) (von Mises) yield surface. More...

Detailed Description

A namespace containing various material laws.

Hyperelastic material laws define a stored energy density \( W(E) \) in terms of the Green-Lagrange strain tensor \( E \).