LinearElastic class represents a linear elastic finite element. More...

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

Public Types
using	Traits = PreFE::Traits

using	BasisHandler = typename Traits::BasisHandler

using	FlatBasis = typename Traits::FlatBasis

using	FERequirementType = typename Traits::FERequirementType

using	LocalView = typename Traits::LocalView

using	Geometry = typename Traits::Geometry

using	GridView = typename Traits::GridView

using	Element = typename Traits::Element

using	Pre = LinearElasticPre

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

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

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

template<typename ScalarType = double>
auto	displacementFunction (const FERequirementType &par, const std::optional< std::reference_wrapper< const Eigen::VectorX< ScalarType > > > &dx=std::nullopt) const
	Gets the displacement function for the given FERequirementType and optional displacement vector. More...

template<class ScalarType = double>
auto	strainFunction (const FERequirementType &par, const std::optional< std::reference_wrapper< const Eigen::VectorX< ScalarType > > > &dx=std::nullopt) const
	Gets the strain function for the given FERequirementType and optional displacement vector. More...

auto	materialTangent () const
	Gets the material tangent matrix for the linear elastic material. More...

auto	materialTangentFunction (const FERequirementType &par) const
	Gets the material tangent function for the given FERequirementType. More...

const Geometry &	geometry () const

size_t	numberOfNodes () const

int	order () const

template<template< typename, int, int > class RT> requires (canProvideResultType<RT>())
auto	calculateAtImpl (const FERequirementType &req, const Dune::FieldVector< double, Traits::mydim > &local, Dune::PriorityTag< 1 >) const
	Calculates a requested result at a specific local position. More...

Static Public Member Functions
template<template< typename, int, int > class RT>
static consteval bool	canProvideResultType ()

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

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

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

template<typename ScalarType >
auto	calculateScalarImpl (const FERequirementType &par, const std::optional< std::reference_wrapper< const Eigen::VectorX< ScalarType > > > &dx=std::nullopt) const -> ScalarType

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

Detailed Description

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

Template Parameters

PreFE	The type of the pre finite element.
FE	The type of the finite element.

Member Typedef Documentation

◆ BasisHandler

template<typename PreFE , typename FE >

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

◆ Element

template<typename PreFE , typename FE >

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

◆ FERequirementType

template<typename PreFE , typename FE >

using Ikarus::LinearElastic< PreFE, FE >::FERequirementType = typename Traits::FERequirementType

◆ FlatBasis

template<typename PreFE , typename FE >

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

◆ Geometry

template<typename PreFE , typename FE >

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

◆ GridView

template<typename PreFE , typename FE >

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

◆ LocalBasisType

template<typename PreFE , typename FE >

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

◆ LocalView

template<typename PreFE , typename FE >

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

◆ Pre

template<typename PreFE , typename FE >

using Ikarus::LinearElastic< PreFE, FE >::Pre = LinearElasticPre

◆ SupportedResultTypes

template<typename PreFE , typename FE >

using Ikarus::LinearElastic< PreFE, FE >::SupportedResultTypes = std::tuple<decltype(makeRT<ResultTypes::linearStress>())>

◆ Traits

template<typename PreFE , typename FE >

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

Constructor & Destructor Documentation

◆ LinearElastic()

template<typename PreFE , typename FE >

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

inlineexplicit

Parameters

pre	The pre fe

Member Function Documentation

◆ bindImpl()

template<typename PreFE , typename FE >

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

inlineprotected

◆ calculateAtImpl()

template<typename PreFE , typename FE >

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

auto Ikarus::LinearElastic< PreFE, FE >::calculateAtImpl	(	const FERequirementType &	req,
		const Dune::FieldVector< double, Traits::mydim > &	local,
		Dune::PriorityTag< 1 >
	)		const

inline

Parameters

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

Template Parameters

RT	The requested result type

Returns: calculated result

Template Parameters

RT	The type representing the requested result.

◆ calculateMatrixImpl()

template<typename PreFE , typename FE >

template<typename ScalarType >

void Ikarus::LinearElastic< PreFE, FE >::calculateMatrixImpl	(	const FERequirementType &	par,
		typename Traits::template MatrixType<>	K,
		const std::optional< std::reference_wrapper< const Eigen::VectorX< ScalarType > > > &	dx = `std::nullopt`
	)		const

inlineprotected

◆ calculateScalarImpl()

template<typename PreFE , typename FE >

template<typename ScalarType >

auto Ikarus::LinearElastic< PreFE, FE >::calculateScalarImpl	(	const FERequirementType &	par,
		const std::optional< std::reference_wrapper< const Eigen::VectorX< ScalarType > > > &	dx = `std::nullopt`
	)		const -> ScalarType

inlineprotected

◆ calculateVectorImpl()

template<typename PreFE , typename FE >

template<typename ScalarType >

void Ikarus::LinearElastic< PreFE, FE >::calculateVectorImpl	(	const FERequirementType &	par,
		typename Traits::template VectorType< ScalarType >	force,
		const std::optional< std::reference_wrapper< const Eigen::VectorX< ScalarType > > > &	dx = `std::nullopt`
	)		const

inlineprotected

◆ canProvideResultType()

template<typename PreFE , typename FE >

template<template< typename, int, int > class RT>

static consteval bool Ikarus::LinearElastic< PreFE, FE >::canProvideResultType ( )

inlinestatic

◆ displacementFunction()

template<typename PreFE , typename FE >

template<typename ScalarType = double>

auto Ikarus::LinearElastic< PreFE, FE >::displacementFunction	(	const FERequirementType &	par,
		const std::optional< std::reference_wrapper< const Eigen::VectorX< ScalarType > > > &	dx = `std::nullopt`
	)		const

inline

Template Parameters

ScalarType The scalar type for the displacement vector.

Parameters

par	The FERequirementType object.
dx	Optional displacement vector.

Returns: The displacement function.

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◆ geometry()

template<typename PreFE , typename FE >

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

inline

◆ materialTangent()

template<typename PreFE , typename FE >

auto Ikarus::LinearElastic< PreFE, FE >::materialTangent ( ) const

inline

Returns: The material tangent matrix.

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◆ materialTangentFunction()

template<typename PreFE , typename FE >

auto Ikarus::LinearElastic< PreFE, FE >::materialTangentFunction ( const FERequirementType & par ) const

inline

Parameters

par	The FERequirementType object.

Returns: The material tangent function.

◆ numberOfNodes()

template<typename PreFE , typename FE >

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

inline

◆ order()

template<typename PreFE , typename FE >

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

inline

◆ strainFunction()

template<typename PreFE , typename FE >

template<class ScalarType = double>

auto Ikarus::LinearElastic< PreFE, FE >::strainFunction	(	const FERequirementType &	par,
		const std::optional< std::reference_wrapper< const Eigen::VectorX< ScalarType > > > &	dx = `std::nullopt`
	)		const

inline

Template Parameters

ScalarType The scalar type for the strain vector.

Parameters

par	The FERequirementType object.
dx	Optional displacement vector.

Returns: The strain function.

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Member Data Documentation

◆ myDim

template<typename PreFE , typename FE >

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

staticconstexpr

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

linearelastic.hh

Public Types

Public Member Functions

Static Public Member Functions

Static Public Attributes

Protected Member Functions

Detailed Description

Member Typedef Documentation

◆ BasisHandler

◆ Element

◆ FERequirementType

◆ FlatBasis

◆ Geometry

◆ GridView

◆ LocalBasisType

◆ LocalView

◆ Pre

◆ SupportedResultTypes

◆ Traits

Constructor & Destructor Documentation

◆ LinearElastic()

Member Function Documentation

◆ bindImpl()

◆ calculateAtImpl()

◆ calculateMatrixImpl()

◆ calculateScalarImpl()

◆ calculateVectorImpl()

◆ canProvideResultType()

◆ displacementFunction()

◆ geometry()

◆ materialTangent()

◆ materialTangentFunction()

◆ numberOfNodes()

◆ order()

◆ strainFunction()

Member Data Documentation

◆ myDim