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

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

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

Member Function Documentation

◆ derivative()

template<typename Geometry , typename ScalarType >

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

inline

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

Geometry	The type of the geometry object.
ScalarType	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 Geometry , typename ScalarType >

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

inline

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

Geometry	The type of the geometry object.
ScalarType	The scalar type for the matrix elements.

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template<typename Geometry >

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

inline

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

Geometry The type of the geometry object.

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