Static Public Member Functions
template<typename GEO >
static auto	value (const Dune::FieldVector< double, 2 > &gpPos, const GEO &geo, const auto &uFunction) -> Eigen::Vector3< typename std::remove_cvref_t< decltype(uFunction)>::ctype >
	Compute the strain vector at a given integration point. More...

template<typename GEO , typename ST >
static auto	derivative (const Dune::FieldVector< double, 2 > &gpPos, const Eigen::Matrix< ST, 2, 3 > &jcur, const auto &dNAtGp, const GEO &geo, const auto &uFunction, const auto &localBasis, const int node)
	Compute the strain-displacement matrix for a given node and integration point. More...

template<typename GEO , typename ST >
static auto	secondDerivative (const Dune::FieldVector< double, 2 > &gpPos, const auto &dNAtGp, const GEO &geo, const auto &uFunction, const auto &localBasis, const Eigen::Vector3< ST > &S, int I, int J)
	Compute the second derivative of the membrane strain for a given node pair and integration point. More...

Member Function Documentation

◆ derivative()

template<typename GEO , typename ST >

static auto Ikarus::DefaultMembraneStrain::derivative	(	const Dune::FieldVector< double, 2 > &	gpPos,
		const Eigen::Matrix< ST, 2, 3 > &	jcur,
		const auto &	dNAtGp,
		const GEO &	geo,
		const auto &	uFunction,
		const auto &	localBasis,
		const int	node
	)

inlinestatic

Parameters

gpPos	The position of the integration point.
jcur	The Jacobian matrix.
dNAtGp	The derivative of the shape functions at the integration point.
geo	The geometry object of the finite element.
uFunction	The function representing the displacement field.
localBasis	The local basis object.
node	The FE node index.

Template Parameters

GEO	The type of the geometry object.
ST	The scalar type for the matrix elements.

Returns: The strain-displacement matrix for the given node and integration point.

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template<typename GEO , typename ST >

static auto Ikarus::DefaultMembraneStrain::secondDerivative	(	const Dune::FieldVector< double, 2 > &	gpPos,
		const auto &	dNAtGp,
		const GEO &	geo,
		const auto &	uFunction,
		const auto &	localBasis,
		const Eigen::Vector3< ST > &	S,
		int	I,
		int	J
	)

inlinestatic

This function computes the geometric tangent stiffness for a given node pair at a given integration point.

Parameters

gpPos	The position of the integration point.
dNAtGp	The derivative of the shape functions at the integration point.
geo	The geometry object.
uFunction	The function representing the displacement field.
localBasis	The local basis object.
S	The strain vector.
I	The index of the first node.
J	The index of the second node.

Template Parameters

GEO	The type of the geometry object.
ST	The scalar type for the matrix elements.

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template<typename GEO >

static auto Ikarus::DefaultMembraneStrain::value	(	const Dune::FieldVector< double, 2 > &	gpPos,
		const GEO &	geo,
		const auto &	uFunction
	)		-> Eigen::Vector3<typename std::remove_cvref_t<decltype(uFunction)>::ctype>

inlinestatic

Parameters

gpPos	The position of the integration point.
geo	The geometry object providing the transposed Jacobian.
uFunction	The function representing the displacement field.

Template Parameters

GEO	The type of the geometry object.

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