NonLinearElastic class represents a non-linear elastic finite element. More...

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

Public Types
using	Traits = PreFE::Traits

using	Basis = typename Traits::Basis

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	Material = PRE::Material

using	Pre = PRE

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

using	SupportedResultTypes = std::tuple< decltype(makeRT< ResultTypes::PK2Stress >())>

Public Member Functions
	NonLinearElastic (const Pre &pre)
	Constructor for the NonLinearElastic 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
	Get the displacement function for the given FERequirementType. More...

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

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

template<typename ScalarType , int strainDim>
auto	getInternalEnergy (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	getStress (const Eigen::Vector< ScalarType, strainDim > &strain) const
	Get the stress for the given strain. 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 Attributes
static constexpr int	myDim = Traits::mydim

static constexpr auto	strainType = StrainTags::greenLagrangian

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
	Calculate the matrix associated with the given FERequirementType. More...

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, typename PRE>
class Ikarus::NonLinearElastic< PreFE, FE, PRE >

Template Parameters

PreFE	The type of the total pre finite element.
FE	The type of the finite element.
PRE	The type of the non-linear elastic pre finite element.

Member Typedef Documentation

◆ Basis

template<typename PreFE , typename FE , typename PRE >

using Ikarus::NonLinearElastic< PreFE, FE, PRE >::Basis = typename Traits::Basis

◆ Element

template<typename PreFE , typename FE , typename PRE >

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

◆ FERequirementType

template<typename PreFE , typename FE , typename PRE >

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

◆ FlatBasis

template<typename PreFE , typename FE , typename PRE >

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

◆ Geometry

template<typename PreFE , typename FE , typename PRE >

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

◆ GridView

template<typename PreFE , typename FE , typename PRE >

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

◆ LocalBasisType

template<typename PreFE , typename FE , typename PRE >

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

◆ LocalView

template<typename PreFE , typename FE , typename PRE >

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

◆ Material

template<typename PreFE , typename FE , typename PRE >

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

◆ Pre

template<typename PreFE , typename FE , typename PRE >

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

◆ SupportedResultTypes

template<typename PreFE , typename FE , typename PRE >

using Ikarus::NonLinearElastic< PreFE, FE, PRE >::SupportedResultTypes = std::tuple<decltype(makeRT<ResultTypes::PK2Stress>())>

◆ Traits

template<typename PreFE , typename FE , typename PRE >

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

Constructor & Destructor Documentation

◆ NonLinearElastic()

template<typename PreFE , typename FE , typename PRE >

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

inlineexplicit

Parameters

pre	The pre fe

Member Function Documentation

◆ bindImpl()

template<typename PreFE , typename FE , typename PRE >

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

inlineprotected

◆ calculateAtImpl()

template<typename PreFE , typename FE , typename PRE >

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

auto Ikarus::NonLinearElastic< PreFE, FE, PRE >::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.

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

inlineprotected

Template Parameters

ScalarType The scalar type for the calculation.

Parameters

par	The FERequirementType object specifying the requirements for the calculation.
K	The matrix to store the calculated result.

◆ calculateScalarImpl()

template<typename PreFE , typename FE , typename PRE >

template<typename ScalarType >

auto Ikarus::NonLinearElastic< PreFE, FE, PRE >::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 , typename PRE >

template<typename ScalarType >

void Ikarus::NonLinearElastic< PreFE, FE, PRE >::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

◆ displacementFunction()

template<typename PreFE , typename FE , typename PRE >

template<typename ScalarType = double>

auto Ikarus::NonLinearElastic< PreFE, FE, PRE >::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 function.

Parameters

par	The FERequirementType object.
dx	Optional displacement vector.

Returns: A StandardLocalFunction representing the displacement function.

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◆ geometry()

template<typename PreFE , typename FE , typename PRE >

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

inline

◆ getInternalEnergy()

template<typename PreFE , typename FE , typename PRE >

template<typename ScalarType , int strainDim>

auto Ikarus::NonLinearElastic< PreFE, FE, PRE >::getInternalEnergy ( 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.

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

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◆ getStress()

template<typename PreFE , typename FE , typename PRE >

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

auto Ikarus::NonLinearElastic< PreFE, FE, PRE >::getStress ( 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.

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

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◆ materialTangent()

template<typename PreFE , typename FE , typename PRE >

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

auto Ikarus::NonLinearElastic< PreFE, FE, PRE >::materialTangent ( 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	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::NonLinearElastic< PreFE, FE, PRE >::numberOfNodes ( ) const

inline

◆ order()

template<typename PreFE , typename FE , typename PRE >

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

inline

◆ strainFunction()

template<typename PreFE , typename FE , typename PRE >

template<typename ScalarType = double>

auto Ikarus::NonLinearElastic< PreFE, FE, PRE >::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 function.

Parameters

par	The FERequirementType object.
dx	Optional displacement vector.

Returns: The strain function calculated using greenLagrangeStrains.

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Member Data Documentation

◆ myDim

template<typename PreFE , typename FE , typename PRE >

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

staticconstexpr

◆ strainType

template<typename PreFE , typename FE , typename PRE >

constexpr auto Ikarus::NonLinearElastic< PreFE, FE, PRE >::strainType = StrainTags::greenLagrangian

staticconstexpr

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

nonlinearelastic.hh

Public Types

Public Member Functions

Static Public Attributes

Protected Member Functions

Detailed Description

Member Typedef Documentation

◆ Basis

◆ Element

◆ FERequirementType

◆ FlatBasis

◆ Geometry

◆ GridView

◆ LocalBasisType

◆ LocalView

◆ Material

◆ Pre

◆ SupportedResultTypes

◆ Traits

Constructor & Destructor Documentation

◆ NonLinearElastic()

Member Function Documentation

◆ bindImpl()

◆ calculateAtImpl()

◆ calculateMatrixImpl()

◆ calculateScalarImpl()

◆ calculateVectorImpl()

◆ displacementFunction()

◆ geometry()

◆ getInternalEnergy()

◆ getStress()

◆ materialTangent()

◆ numberOfNodes()

◆ order()

◆ strainFunction()

Member Data Documentation

◆ myDim

◆ strainType