Kaskade::Elastomechanics Namespace Reference

Namespaces
namespace	MaterialLaws
	A namespace containing various material laws.

Classes
class	DetIpm1
	A class for computing determinants and their derivatives. More...
class	ElasticModulus
	Material parameters for isotropic linearly elastic materials. More...
class	ExtendedGreenLagrangeTensor
	Full (right) Green-Lagrange strain tensor for displacements from dim-1 to dim. More...
class	FirstPiolaKirchhoffStress
	Represents the first Piola Kirchhoff stress as known in nonlinear elasticity. The Piola-Kirchhoff stress is \( T = F\sigma = (I+u_x) \sigma(u) \). More...
class	GreenLagrangeTensor
	Full (right) Green-Lagrange strain tensor, the workhorse of hyperelasticity. More...
class	HyperelasticVariationalFunctional
	General base class for variational functionals defined in terms of hyperelastic stored energies. More...
class	IsochoricGreenLagrangeTensor
	Isochoric part of the full (right) Green-Lagrange strain tensor, used in compressible hyperelasticity. More...
class	LameNavier
	Convenience class for handling linear elastomechanics. More...
class	LinearizedGreenLagrangeTensor
	Linearized (right) Green-Lagrange strain tensor, the workhorse of linear elastomechanics. More...
class	OrthotropicLameNavier
	Convenience class for handling orthotropic materials in linear elastomechanics. More...
class	Pstable
	Numerically stable evaluation of \( (x+1)^p -1 \). More...
class	ShellEnergy
	A stored energy density class for Taylor-based shell models. More...
class	ShellKinematics
	A lower-dimensional kinematics ansatz useful for shell models. More...
class	ShellKinematicsDerivative
	A lower-dimensional kinematics ansatz useful for shell models. More...
class	ShiftedInvariants
	A class for shifted invariants of a tensor. More...
class	StrainView
	A function view that provides on the fly computed strain tensors of displacemnts. More...
class	SurfaceGreenLagrangeTensor
	Full (right) Green-Lagrange strain tensor for displacements from dim-1 to dim. More...

Functions
double	yieldStrength (std::string const &name)
	Yield strengths of several materials in Pa. More...
template<class Scalar , int n>
Dune::FieldVector< Scalar, n *(n+1)/2 >	pack (Dune::FieldMatrix< Scalar, n, n > const &e, Scalar s=2.0)
	Returns the Voigt vector representation of a symmetric matrix (with or without doubled off-diagonal entries). More...
template<class Scalar , int n>
Dune::FieldMatrix< Scalar, ElastoDetails::dim(n), ElastoDetails::dim(n)>	unpack (Dune::FieldVector< Scalar, n > const &c, Scalar s=2.0)
	Returns the symmetric matrix representation of a Voigt vector with or without doubled off-diagonal entries. More...
template<int d, class Scalar >
Dune::FieldMatrix< Scalar, d, d >	deviatoricPart (Dune::FieldMatrix< Scalar, d, d > const &s)
	The deviatoric part of a tensor. More...
template<class Displacement >
auto	makeLinearizedGreenLagrangeStrainView (Displacement const &u)
	A convenience function for creating function views for linearized Green-Lagrange strain tensors. More...
template<class Displacement >
auto	makeGreenLagrangeStrainView (Displacement const &u)
	A convenience function for creating function views for full Green-Lagrange strain tensors. More...
template<class Real , int dim>
std::array< Dune::FieldVector< Real, dim >, dim >	principalDirections (Dune::FieldMatrix< Real, dim, dim > const &A)
	Computes the dim principal directions of the symmetric positive definite tensor A. More...
template<class Function >
double	orientationPreservingStepsize (Function const &y, Function const &dy, double epsilon)
	Computes the maximal orientation preserving stepsize. More...