Kirchhoff-Love shell finite element class. More...

#include <ikarus/finiteelements/mechanics/kirchhoffloveshell.hh>

Inheritance diagram for Ikarus::KirchhoffLoveShell< PreFE, FE >:

Classes
struct	KinematicVariables
	A structure representing kinematic variables. More...

Public Types
using	Traits = PreFE::Traits

using	BasisHandler = typename Traits::BasisHandler

using	FlatBasis = typename Traits::FlatBasis

using	Requirement = FERequirements< FESolutions::displacement, FEParameter::loadfactor >

using	LocalView = typename Traits::LocalView

using	Geometry = typename Traits::Geometry

using	GridView = typename Traits::GridView

using	Element = typename Traits::Element

using	LocalBasisType = decltype(std::declval< LocalView >().tree().child(0).finiteElement().localBasis())

using	Pre = KirchhoffLoveShellPre

using	SupportedResultTypes = std::tuple< decltype(makeRT< ResultTypes >())... >

Public Member Functions
	KirchhoffLoveShell (const Pre &pre)
	Constructor for the KirchhoffLoveShell class. More...

template<typename ST = double>
auto	displacementFunction (const Requirement &par, const std::optional< std::reference_wrapper< const Eigen::VectorX< ST > > > &dx=std::nullopt) const
	Get the displacement function and nodal displacements. More...

Geometry	geometry () const

size_t	numberOfNodes () const

int	order () const

template<template< typename, int, int > class RT> requires (supportsResultType<RT>())
auto	calculateAtImpl (const Requirement &req, const Dune::FieldVector< double, Traits::mydim > &local) -> ResultWrapper< RT< double, myDim, worldDim >, ResultShape::Vector >
	Calculates a requested result at a specific local position. More...

Static Public Member Functions
static consteval bool	supportsResultType ()
	Returns whether a ResultType is provided by the element. More...

Static Public Attributes
static constexpr int	myDim = Traits::mydim

static constexpr int	worldDim = Traits::worlddim

static constexpr int	membraneStrainSize = 3

static constexpr int	bendingStrainSize = 3

Protected Member Functions
void	bindImpl ()
	A helper function to bind the local view to the element. More...

auto	computeMaterialAndStrains (const Dune::FieldVector< double, 2 > &gpPos, int gpIndex, const Geometry &geo, const auto &uFunction) const
	Compute material properties and strains at a given integration point. More...

template<typename ST >
void	calculateMatrixImpl (const Requirement &par, const MatrixAffordance &affordance, typename Traits::template MatrixType< ST > K, const std::optional< std::reference_wrapper< const Eigen::VectorX< ST > > > &dx=std::nullopt) const

template<typename ST >
void	calculateVectorImpl (const Requirement &par, const VectorAffordance &affordance, typename Traits::template VectorType< ST > force, const std::optional< std::reference_wrapper< const Eigen::VectorX< ST > > > &dx=std::nullopt) const

template<typename ST >
auto	calculateScalarImpl (const Requirement &par, const ScalarAffordance &affordance, const std::optional< std::reference_wrapper< const Eigen::VectorX< ST > > > &dx=std::nullopt) const -> ST

template<typename ST >
Eigen::Matrix< ST, 3, 3 >	kgBending (const Eigen::Matrix< ST, 2, 3 > &jcur, const Eigen::Matrix3< ST > &h, const auto &dN, const auto &ddN, const Eigen::Vector3< ST > &a3N, const Eigen::Vector3< ST > &a3, const Eigen::Vector3< ST > &S, int I, int J) const

template<typename ST >
Eigen::Matrix< ST, 3, 3 >	bopBending (const Eigen::Matrix< ST, 2, 3 > &jcur, const Eigen::Matrix3< ST > &h, const auto &dN, const auto &ddN, const int node, const Eigen::Vector3< ST > &a3N, const Eigen::Vector3< ST > &a3) const

Eigen::Matrix< double, 3, 3 >	materialTangent (const Eigen::Matrix< double, 3, 3 > &Aconv) const
	Gets the material tangent matrix for the linear elastic material. More...

Detailed Description

template<typename PreFE, typename FE>
class Ikarus::KirchhoffLoveShell< PreFE, FE >

This class represents Kirchhoff-Love shell finite elements.

Template Parameters

PreFE	Type of the pre finite element.
FE	Type of the finite element.

Member Typedef Documentation

◆ BasisHandler

template<typename PreFE , typename FE >

using Ikarus::KirchhoffLoveShell< PreFE, FE >::BasisHandler = typename Traits::BasisHandler

◆ Element

template<typename PreFE , typename FE >

using Ikarus::KirchhoffLoveShell< PreFE, FE >::Element = typename Traits::Element

◆ FlatBasis

template<typename PreFE , typename FE >

using Ikarus::KirchhoffLoveShell< PreFE, FE >::FlatBasis = typename Traits::FlatBasis

◆ Geometry

template<typename PreFE , typename FE >

using Ikarus::KirchhoffLoveShell< PreFE, FE >::Geometry = typename Traits::Geometry

◆ GridView

template<typename PreFE , typename FE >

using Ikarus::KirchhoffLoveShell< PreFE, FE >::GridView = typename Traits::GridView

◆ LocalBasisType

template<typename PreFE , typename FE >

using Ikarus::KirchhoffLoveShell< PreFE, FE >::LocalBasisType = decltype(std::declval<LocalView>().tree().child(0).finiteElement().localBasis())

◆ LocalView

template<typename PreFE , typename FE >

using Ikarus::KirchhoffLoveShell< PreFE, FE >::LocalView = typename Traits::LocalView

◆ Pre

template<typename PreFE , typename FE >

using Ikarus::KirchhoffLoveShell< PreFE, FE >::Pre = KirchhoffLoveShellPre

◆ Requirement

template<typename PreFE , typename FE >

using Ikarus::KirchhoffLoveShell< PreFE, FE >::Requirement = FERequirements<FESolutions::displacement, FEParameter::loadfactor>

◆ SupportedResultTypes

using Ikarus::ResultTypeBase< ResultTypes >::SupportedResultTypes = std::tuple<decltype(makeRT<ResultTypes>())...>

inherited

◆ Traits

template<typename PreFE , typename FE >

using Ikarus::KirchhoffLoveShell< PreFE, FE >::Traits = PreFE::Traits

Constructor & Destructor Documentation

◆ KirchhoffLoveShell()

template<typename PreFE , typename FE >

Ikarus::KirchhoffLoveShell< PreFE, FE >::KirchhoffLoveShell ( const Pre & pre )

inline

Initializes the KirchhoffLoveShell instance with the given parameters.

Parameters

pre	The pre fe

Member Function Documentation

◆ bindImpl()

template<typename PreFE , typename FE >

void Ikarus::KirchhoffLoveShell< PreFE, FE >::bindImpl ( )

inlineprotected

◆ bopBending()

template<typename PreFE , typename FE >

template<typename ST >

Eigen::Matrix< ST, 3, 3 > Ikarus::KirchhoffLoveShell< PreFE, FE >::bopBending	(	const Eigen::Matrix< ST, 2, 3 > &	jcur,
		const Eigen::Matrix3< ST > &	h,
		const auto &	dN,
		const auto &	ddN,
		const int	node,
		const Eigen::Vector3< ST > &	a3N,
		const Eigen::Vector3< ST > &	a3
	)		const

inlineprotected

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◆ calculateAtImpl()

template<typename PreFE , typename FE >

template<template< typename, int, int > class RT>
requires (supportsResultType<RT>())

auto Ikarus::KirchhoffLoveShell< PreFE, FE >::calculateAtImpl	(	const Requirement &	req,
		const Dune::FieldVector< double, Traits::mydim > &	local
	)		-> ResultWrapper<RT<double, myDim, worldDim>, ResultShape::Vector>

inline

Parameters

req	The FERequirementType object holding the global solution.
local	Local position vector.

Returns: calculated result

Template Parameters

RT	The type representing the requested result.

◆ calculateMatrixImpl()

template<typename PreFE , typename FE >

template<typename ST >

void Ikarus::KirchhoffLoveShell< PreFE, FE >::calculateMatrixImpl	(	const Requirement &	par,
		const MatrixAffordance &	affordance,
		typename Traits::template MatrixType< ST >	K,
		const std::optional< std::reference_wrapper< const Eigen::VectorX< ST > > > &	dx = `std::nullopt`
	)		const

inlineprotected

◆ calculateScalarImpl()

template<typename PreFE , typename FE >

template<typename ST >

auto Ikarus::KirchhoffLoveShell< PreFE, FE >::calculateScalarImpl	(	const Requirement &	par,
		const ScalarAffordance &	affordance,
		const std::optional< std::reference_wrapper< const Eigen::VectorX< ST > > > &	dx = `std::nullopt`
	)		const -> ST

inlineprotected

◆ calculateVectorImpl()

template<typename PreFE , typename FE >

template<typename ST >

void Ikarus::KirchhoffLoveShell< PreFE, FE >::calculateVectorImpl	(	const Requirement &	par,
		const VectorAffordance &	affordance,
		typename Traits::template VectorType< ST >	force,
		const std::optional< std::reference_wrapper< const Eigen::VectorX< ST > > > &	dx = `std::nullopt`
	)		const

inlineprotected

◆ computeMaterialAndStrains()

template<typename PreFE , typename FE >

auto Ikarus::KirchhoffLoveShell< PreFE, FE >::computeMaterialAndStrains	(	const Dune::FieldVector< double, 2 > &	gpPos,
		int	gpIndex,
		const Geometry &	geo,
		const auto &	uFunction
	)		const

inlineprotected

Parameters

gpPos	The position of the integration point.
gpIndex	The index of the integration point.
geo	The geometry object providing position and derivatives.
uFunction	The function representing the displacement field.

Returns: A tuple containing the material tangent, membrane strain, bending, Jacobian matrix of the reference position, Jacobian matrix of the current position, Hessian matrix of the current position, Hessian matrix of the reference position, normal vector, and normalized normal vector at the given integration point.

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◆ displacementFunction()

template<typename PreFE , typename FE >

template<typename ST = double>

auto Ikarus::KirchhoffLoveShell< PreFE, FE >::displacementFunction	(	const Requirement &	par,
		const std::optional< std::reference_wrapper< const Eigen::VectorX< ST > > > &	dx = `std::nullopt`
	)		const

inline

Retrieves the displacement function and nodal displacements based on the given FERequirements.

Template Parameters

ST	The scalar type used for calculations.

Parameters

par	The FERequirements.
dx	Optional additional displacement vector.

Returns: The displacement function.

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◆ geometry()

template<typename PreFE , typename FE >

Geometry Ikarus::KirchhoffLoveShell< PreFE, FE >::geometry ( ) const

inline

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◆ kgBending()

template<typename PreFE , typename FE >

template<typename ST >

Eigen::Matrix< ST, 3, 3 > Ikarus::KirchhoffLoveShell< PreFE, FE >::kgBending	(	const Eigen::Matrix< ST, 2, 3 > &	jcur,
		const Eigen::Matrix3< ST > &	h,
		const auto &	dN,
		const auto &	ddN,
		const Eigen::Vector3< ST > &	a3N,
		const Eigen::Vector3< ST > &	a3,
		const Eigen::Vector3< ST > &	S,
		int	I,
		int	J
	)		const

inlineprotected

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◆ materialTangent()

template<typename PreFE , typename FE >

Eigen::Matrix< double, 3, 3 > Ikarus::KirchhoffLoveShell< PreFE, FE >::materialTangent ( const Eigen::Matrix< double, 3, 3 > & Aconv ) const

inlineprotected

Parameters

Aconv A tensor to get the material tangent in the curvilinear coordinate system.

Returns: The material tangent matrix.

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◆ numberOfNodes()

template<typename PreFE , typename FE >

size_t Ikarus::KirchhoffLoveShell< PreFE, FE >::numberOfNodes ( ) const

inline

◆ order()

template<typename PreFE , typename FE >

int Ikarus::KirchhoffLoveShell< PreFE, FE >::order ( ) const

inline

◆ supportsResultType()

static consteval bool Ikarus::ResultTypeBase< ResultTypes >::supportsResultType ( )

inlinestaticinherited

Template Parameters

RT	requested ResultType

Member Data Documentation

◆ bendingStrainSize

template<typename PreFE , typename FE >

constexpr int Ikarus::KirchhoffLoveShell< PreFE, FE >::bendingStrainSize = 3

staticconstexpr

◆ membraneStrainSize

template<typename PreFE , typename FE >

constexpr int Ikarus::KirchhoffLoveShell< PreFE, FE >::membraneStrainSize = 3

staticconstexpr

◆ myDim

template<typename PreFE , typename FE >

constexpr int Ikarus::KirchhoffLoveShell< PreFE, FE >::myDim = Traits::mydim

staticconstexpr

◆ worldDim

template<typename PreFE , typename FE >

constexpr int Ikarus::KirchhoffLoveShell< PreFE, FE >::worldDim = Traits::worlddim

staticconstexpr

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

kirchhoffloveshell.hh

Classes

Public Types

Public Member Functions

Static Public Member Functions

Static Public Attributes

Protected Member Functions

Detailed Description

Member Typedef Documentation

◆ BasisHandler

◆ Element

◆ FlatBasis

◆ Geometry

◆ GridView

◆ LocalBasisType

◆ LocalView

◆ Pre

◆ Requirement

◆ SupportedResultTypes

◆ Traits

Constructor & Destructor Documentation

◆ KirchhoffLoveShell()

Member Function Documentation

◆ bindImpl()

◆ bopBending()

◆ calculateAtImpl()

◆ calculateMatrixImpl()

◆ calculateScalarImpl()

◆ calculateVectorImpl()

◆ computeMaterialAndStrains()

◆ displacementFunction()

◆ geometry()

◆ kgBending()

◆ materialTangent()

◆ numberOfNodes()

◆ order()

◆ supportsResultType()

Member Data Documentation

◆ bendingStrainSize

◆ membraneStrainSize

◆ myDim

◆ worldDim