Static Public Member Functions
template<typename GEO , typename AST >
static auto	value (const GEO &geo, const Dune::FieldVector< double, GEO::mydimension > &gpPos, const AST &asFunction, const auto &beta)
	Compute the stress vector at a given integration point or its index. More...

template<typename GEO , typename AST >
static auto	firstDerivative (const GEO &geo, const auto &uFunction, const auto &localBasis, const auto &gpIndex, const Dune::FieldVector< double, GEO::mydimension > &gpPos, const AST &asFunction, const auto &beta, const int node=sNaN)
	Compute the first derivative of the PK2 stress w.r.t beta for a given node and integration point. More...

template<typename GEO , typename ST , typename AST >
static auto	secondDerivative (const GEO &geo, const auto &uFunction, const auto &localBasis, const auto &gpIndex, const Dune::FieldVector< double, GEO::mydimension > &gpPos, const Eigen::Vector< ST, GEO::mydimension *(GEO::mydimension+1)/2 > &S, const AST &asFunction, const auto &beta, const int I=sNaN, const int J=sNaN)
	Compute the second derivative of the PK2 stress w.r.t beta for a given node and integration point. More...

static constexpr auto	name ()
	The name of the assumed stress type. More...

Member Function Documentation

◆ firstDerivative()

template<typename GEO , typename AST >

static auto Ikarus::PS::PK2Stress::firstDerivative	(	const GEO &	geo,
		const auto &	uFunction,
		const auto &	localBasis,
		const auto &	gpIndex,
		const Dune::FieldVector< double, GEO::mydimension > &	gpPos,
		const AST &	asFunction,
		const auto &	beta,
		const int	node = `sNaN`
	)

inlinestatic

Parameters

geo	The geometry object of the finite element.
uFunction	The function representing the displacement field.
localBasis	The local basis object.
gpPos	The position of the integration point.
gpIndex	The index of the integration point.
node	The FE node index (defaults to sNaN).
asFunction	The AssumedStress function.
beta	The coefficients of the PS function.

Template Parameters

GEO	The type of the geometry object.
AST	The type of the Assumed Stress function function.

static constexpr auto Ikarus::PS::PK2Stress::name ( )

inlinestaticconstexpr

template<typename GEO , typename ST , typename AST >

static auto Ikarus::PS::PK2Stress::secondDerivative	(	const GEO &	geo,
		const auto &	uFunction,
		const auto &	localBasis,
		const auto &	gpIndex,
		const Dune::FieldVector< double, GEO::mydimension > &	gpPos,
		const Eigen::Vector< ST, GEO::mydimension *(GEO::mydimension+1)/2 > &	S,
		const AST &	asFunction,
		const auto &	beta,
		const int	I = `sNaN`,
		const int	J = `sNaN`
	)

inlinestatic

Parameters

geo	The geometry object of the finite element.
uFunction	The function representing the displacement field.
localBasis	The local basis object.
gpPos	The position of the integration point.
gpIndex	The index of the integration point.
I	The FE node index I (defaults to sNaN).
J	The FE node index J (defaults to sNaN).
S	The PK2 stress (in Voigt notation).
asFunction	The AssumedStress function.
beta	The coefficients of the PS function.

Template Parameters

GEO	The type of the geometry object.
ST	The underlying scalar type.
AST	The type of the Assumed Stress function.

template<typename GEO , typename AST >

static auto Ikarus::PS::PK2Stress::value	(	const GEO &	geo,
		const Dune::FieldVector< double, GEO::mydimension > &	gpPos,
		const AST &	asFunction,
		const auto &	beta
	)

inlinestatic

Parameters

geo	The geometry object providing the transposed Jacobian.
gpPos	The position of the integration point.
asFunction	The AssumedStress function.
beta	The coefficients of the PS function.

Template Parameters

GEO	The type of the geometry object.
AST	The type of the Assumed Stress function

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