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

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

Inheritance diagram for Ikarus::LinearElastic< PreFE, FE, PRE >:

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	Material = PRE::Material

using	Pre = PRE

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

template<typename ST >
using	VectorXOptRef = std::optional< std::reference_wrapper< const Eigen::VectorX< ST > > >

template<template< typename, int, int > class RT>
using	RTWrapperType = ResultWrapper< RT< typename Traits::ctype, myDim, Traits::worlddim >, ResultShape::Vector >

template<typename ST = double>
using	StrainType = Eigen::Vector< ST, strainDim >

template<typename ST = double>
using	BopType = Eigen::Matrix< ST, strainDim, myDim >

template<typename ST = double>
using	KgType = Eigen::Matrix< ST, myDim, myDim >

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

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

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

template<class ScalarType = double>
auto	strainFunction (const Requirement &par, const VectorXOptRef< ScalarType > &dx=std::nullopt) const
	Gets the strain function for the given Requirement and optional di splacement vector. More...

template<typename ScalarType , int strainDim>
auto	internalEnergy (const Eigen::Vector< ScalarType, strainDim > &strain) const
	Get the internal energy for the given strain. More...

template<typename ScalarType , int strainDim, bool voigt = true>
auto	stress (const Eigen::Vector< ScalarType, strainDim > &strain) const
	Get the stress for the given strain. More...

template<typename ScalarType , int strainDim, bool voigt = true>
auto	materialTangent (const Eigen::Vector< ScalarType, strainDim > &strain=Eigen::Vector< ScalarType, strainDim >::Zero()) const
	Get the linear elastic material tangent for the given strain for the given Requirement. More...

const Geometry &	geometry () const

size_t	numberOfNodes () const

int	order () const

const Dune::CachedLocalBasis< std::remove_cvref_t< LocalBasisType > > &	localBasis () const

template<typename ScalarType = double>
decltype(auto)	material () const

template<template< typename, int, int > class RT> requires (LinearElastic::template supportsResultType<RT>())
auto	resultFunction () const
	Get a lambda function that evaluates the requested result type for a given strain (in Voigt notation). More...

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

template<typename ST >
auto	geometricStiffnessMatrixFunction (const Requirement &par, typename Traits::template MatrixType< ST > &K, const VectorXOptRef< ST > &dx=std::nullopt) const
	Get a lambda function that evaluates the geometric part of the stiffness matrix (Kg) for a given integration point and its index. More...

template<typename ST >
auto	materialStiffnessMatrixFunction (const Requirement &par, typename Traits::template MatrixType< ST > &K, const VectorXOptRef< ST > &dx=std::nullopt) const
	Get a lambda function that evaluates the elastic stiffness matrix for a given strain, integration point and its index. More...

template<typename ST >
auto	internalForcesFunction (const Requirement &par, typename Traits::template VectorType< ST > &force, const VectorXOptRef< ST > &dx=std::nullopt) const
	Get a lambda function that evaluates the internal force vector for a given strain, integration point and its index. More...

template<typename ScalarType >
auto	energyFunction (const Requirement &par, const VectorXOptRef< ScalarType > &dx=std::nullopt) const
	Get a lambda function that evaluates the internal energy at a given integration point and its index. 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	strainDim = myDim * (myDim + 1) / 2

static constexpr auto	strainType = StrainTags::linear

static constexpr auto	stressType = StressTags::linear

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

template<typename ScalarType >
void	calculateMatrixImpl (const Requirement &par, const MatrixAffordance &affordance, typename Traits::template MatrixType<> K, const VectorXOptRef< ScalarType > &dx=std::nullopt) const

template<typename ScalarType >
auto	calculateScalarImpl (const Requirement &par, ScalarAffordance affordance, const VectorXOptRef< ScalarType > &dx=std::nullopt) const -> ScalarType

template<typename ScalarType >
void	calculateVectorImpl (const Requirement &par, VectorAffordance affordance, typename Traits::template VectorType< ScalarType > force, const VectorXOptRef< ScalarType > &dx=std::nullopt) const

Detailed Description

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

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 , typename PRE >

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

◆ BopType

template<typename PreFE , typename FE , typename PRE >

template<typename ST = double>

using Ikarus::LinearElastic< PreFE, FE, PRE >::BopType = Eigen::Matrix<ST, strainDim, myDim>

◆ Element

template<typename PreFE , typename FE , typename PRE >

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

◆ FlatBasis

template<typename PreFE , typename FE , typename PRE >

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

◆ Geometry

template<typename PreFE , typename FE , typename PRE >

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

◆ GridView

template<typename PreFE , typename FE , typename PRE >

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

◆ KgType

template<typename PreFE , typename FE , typename PRE >

template<typename ST = double>

using Ikarus::LinearElastic< PreFE, FE, PRE >::KgType = Eigen::Matrix<ST, myDim, myDim>

◆ LocalBasisType

template<typename PreFE , typename FE , typename PRE >

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

◆ LocalView

template<typename PreFE , typename FE , typename PRE >

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

◆ Material

template<typename PreFE , typename FE , typename PRE >

using Ikarus::LinearElastic< PreFE, FE, PRE >::Material = PRE::Material

◆ Pre

template<typename PreFE , typename FE , typename PRE >

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

◆ Requirement

template<typename PreFE , typename FE , typename PRE >

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

◆ RTWrapperType

template<typename PreFE , typename FE , typename PRE >

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

using Ikarus::LinearElastic< PreFE, FE, PRE >::RTWrapperType = ResultWrapper<RT<typename Traits::ctype, myDim, Traits::worlddim>, ResultShape::Vector>

◆ StrainType

template<typename PreFE , typename FE , typename PRE >

template<typename ST = double>

using Ikarus::LinearElastic< PreFE, FE, PRE >::StrainType = Eigen::Vector<ST, strainDim>

◆ SupportedResultTypes

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

inherited

◆ Traits

template<typename PreFE , typename FE , typename PRE >

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

◆ VectorXOptRef

template<typename PreFE , typename FE , typename PRE >

template<typename ST >

using Ikarus::LinearElastic< PreFE, FE, PRE >::VectorXOptRef = std::optional<std::reference_wrapper<const Eigen::VectorX<ST> >>

Constructor & Destructor Documentation

◆ LinearElastic()

template<typename PreFE , typename FE , typename PRE >

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

inlineexplicit

Parameters

pre	The pre fe

Member Function Documentation

◆ bindImpl()

template<typename PreFE , typename FE , typename PRE >

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

inlineprotected

◆ calculateAtImpl()

template<typename PreFE , typename FE , typename PRE >

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

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

inline

Parameters

req	The Requirement 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 , typename PRE >

template<typename ScalarType >

void Ikarus::LinearElastic< PreFE, FE, PRE >::calculateMatrixImpl	(	const Requirement &	par,
		const MatrixAffordance &	affordance,
		typename Traits::template MatrixType<>	K,
		const VectorXOptRef< ScalarType > &	dx = `std::nullopt`
	)		const

inlineprotected

◆ calculateScalarImpl()

template<typename PreFE , typename FE , typename PRE >

template<typename ScalarType >

auto Ikarus::LinearElastic< PreFE, FE, PRE >::calculateScalarImpl	(	const Requirement &	par,
		ScalarAffordance	affordance,
		const VectorXOptRef< ScalarType > &	dx = `std::nullopt`
	)		const -> ScalarType

inlineprotected

◆ calculateVectorImpl()

template<typename PreFE , typename FE , typename PRE >

template<typename ScalarType >

void Ikarus::LinearElastic< PreFE, FE, PRE >::calculateVectorImpl	(	const Requirement &	par,
		VectorAffordance	affordance,
		typename Traits::template VectorType< ScalarType >	force,
		const VectorXOptRef< ScalarType > &	dx = `std::nullopt`
	)		const

inlineprotected

◆ displacementFunction()

template<typename PreFE , typename FE , typename PRE >

template<typename ScalarType = double>

auto Ikarus::LinearElastic< PreFE, FE, PRE >::displacementFunction	(	const Requirement &	par,
		const VectorXOptRef< ScalarType > &	dx = `std::nullopt`
	)		const

inline

Template Parameters

ScalarType The scalar type for the displacement vector.

Parameters

par	The Requirement object.
dx	Optional displacement vector.

Returns: The displacement function.

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◆ energyFunction()

template<typename PreFE , typename FE , typename PRE >

template<typename ScalarType >

auto Ikarus::LinearElastic< PreFE, FE, PRE >::energyFunction	(	const Requirement &	par,
		const VectorXOptRef< ScalarType > &	dx = `std::nullopt`
	)		const

inline

Template Parameters

ScalarType The scalar type for the material and strain.

Parameters

par	The Requirement object.
dx	Optional displacement vector.

Returns: A lambda function that returns the intenral energy at a given integration point and its index.

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◆ geometricStiffnessMatrixFunction()

template<typename PreFE , typename FE , typename PRE >

template<typename ST >

auto Ikarus::LinearElastic< PreFE, FE, PRE >::geometricStiffnessMatrixFunction	(	const Requirement &	par,
		typename Traits::template MatrixType< ST > &	K,
		const VectorXOptRef< ST > &	dx = `std::nullopt`
	)		const

inline

This is here due to symmetry to the NonLinearElastic class

Template Parameters

ST	The scalar type for the material and strain.

Parameters

par	The Requirement object.
dx	Optional displacement vector.
K	The matrix to store the calculated result.

Returns: A lambda function that evaluates the stiffness matrix for a given strain, integration point and its index.

◆ geometry()

template<typename PreFE , typename FE , typename PRE >

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

inline

◆ internalEnergy()

template<typename PreFE , typename FE , typename PRE >

template<typename ScalarType , int strainDim>

auto Ikarus::LinearElastic< PreFE, FE, PRE >::internalEnergy ( const Eigen::Vector< ScalarType, strainDim > & strain ) const

inline

Template Parameters

ScalarType	The scalar type for the material and strain.
strainDim	The dimension of the strain vector.

Parameters

strain The strain vector in Voigt notation.

Returns: The internal energy calculated using the material's storedEnergy function.

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◆ internalForcesFunction()

template<typename PreFE , typename FE , typename PRE >

template<typename ST >

auto Ikarus::LinearElastic< PreFE, FE, PRE >::internalForcesFunction	(	const Requirement &	par,
		typename Traits::template VectorType< ST > &	force,
		const VectorXOptRef< ST > &	dx = `std::nullopt`
	)		const

inline

Template Parameters

ST	The scalar type for the material and strain.

Parameters

par	The Requirement object.
dx	Optional displacement vector.
force	The vector to store the calculated result.

Returns: A lambda function that evaluates the intenral force vector for a given strain, integration point and its index.

◆ localBasis()

template<typename PreFE , typename FE , typename PRE >

const Dune::CachedLocalBasis< std::remove_cvref_t< LocalBasisType > > & Ikarus::LinearElastic< PreFE, FE, PRE >::localBasis ( ) const

inline

◆ material()

template<typename PreFE , typename FE , typename PRE >

template<typename ScalarType = double>

decltype(auto) Ikarus::LinearElastic< PreFE, FE, PRE >::material ( ) const

inline

◆ materialStiffnessMatrixFunction()

template<typename PreFE , typename FE , typename PRE >

template<typename ST >

auto Ikarus::LinearElastic< PreFE, FE, PRE >::materialStiffnessMatrixFunction	(	const Requirement &	par,
		typename Traits::template MatrixType< ST > &	K,
		const VectorXOptRef< ST > &	dx = `std::nullopt`
	)		const

inline

Template Parameters

ST	The scalar type for the material and strain.

Parameters

par	The Requirement object.
dx	Optional displacement vector.
K	The matrix to store the calculated result.

Returns: A lambda function that evaluates the stiffness matrix for a given strain, integration point and its index.

◆ materialTangent()

template<typename PreFE , typename FE , typename PRE >

template<typename ScalarType , int strainDim, bool voigt = true>

auto Ikarus::LinearElastic< PreFE, FE, PRE >::materialTangent ( const Eigen::Vector< ScalarType, strainDim > & strain = Eigen::Vector<ScalarType, strainDim>::Zero() ) const

inline

Template Parameters

ScalarType	The scalar type for the material and strain.
strainDim	The dimension of the strain vector.
voigt	Flag indicating whether to use Voigt notation.

Parameters

strain The strain vector.

Returns: The material tangent calculated using the material's tangentModuli function.

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◆ numberOfNodes()

template<typename PreFE , typename FE , typename PRE >

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

inline

◆ order()

template<typename PreFE , typename FE , typename PRE >

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

inline

◆ resultFunction()

template<typename PreFE , typename FE , typename PRE >

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

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

inline

Template Parameters

RT	The type representing the requested result.

Returns: A lambda function that evaluates the requested result type for a given strain (in Voigt notation).

◆ strainFunction()

template<typename PreFE , typename FE , typename PRE >

template<class ScalarType = double>

auto Ikarus::LinearElastic< PreFE, FE, PRE >::strainFunction	(	const Requirement &	par,
		const VectorXOptRef< ScalarType > &	dx = `std::nullopt`
	)		const

inline

Template Parameters

ScalarType The scalar type for the strain vector.

Parameters

par	The Requirement object.
dx	Optional displacement vector.

Returns: The strain function.

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◆ stress()

template<typename PreFE , typename FE , typename PRE >

template<typename ScalarType , int strainDim, bool voigt = true>

auto Ikarus::LinearElastic< PreFE, FE, PRE >::stress ( const Eigen::Vector< ScalarType, strainDim > & strain ) const

inline

Template Parameters

ScalarType	The scalar type for the material and strain.
strainDim	The dimension of the strain vector.
voigt	A boolean indicating whether to use the Voigt notation for stress.

Parameters

strain The strain vector in Voigt notation.

Returns: The stress vector calculated using the material's stresses function.

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◆ supportsResultType()

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

inlinestaticinherited

Template Parameters

RT	requested ResultType

Member Data Documentation

◆ myDim

template<typename PreFE , typename FE , typename PRE >

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

staticconstexpr

◆ strainDim

template<typename PreFE , typename FE , typename PRE >

constexpr int Ikarus::LinearElastic< PreFE, FE, PRE >::strainDim = myDim * (myDim + 1) / 2

staticconstexpr

◆ strainType

template<typename PreFE , typename FE , typename PRE >

constexpr auto Ikarus::LinearElastic< PreFE, FE, PRE >::strainType = StrainTags::linear

staticconstexpr

◆ stressType

template<typename PreFE , typename FE , typename PRE >

constexpr auto Ikarus::LinearElastic< PreFE, FE, PRE >::stressType = StressTags::linear

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

◆ BopType

◆ Element

◆ FlatBasis

◆ Geometry

◆ GridView

◆ KgType

◆ LocalBasisType

◆ LocalView

◆ Material

◆ Pre

◆ Requirement

◆ RTWrapperType

◆ StrainType

◆ SupportedResultTypes

◆ Traits

◆ VectorXOptRef

Constructor & Destructor Documentation

◆ LinearElastic()

Member Function Documentation

◆ bindImpl()

◆ calculateAtImpl()

◆ calculateMatrixImpl()

◆ calculateScalarImpl()

◆ calculateVectorImpl()

◆ displacementFunction()

◆ energyFunction()

◆ geometricStiffnessMatrixFunction()

◆ geometry()

◆ internalEnergy()

◆ internalForcesFunction()

◆ localBasis()

◆ material()

◆ materialStiffnessMatrixFunction()

◆ materialTangent()

◆ numberOfNodes()

◆ order()

◆ resultFunction()

◆ strainFunction()

◆ stress()

◆ supportsResultType()

Member Data Documentation

◆ myDim

◆ strainDim

◆ strainType

◆ stressType