Wrapper class for using Assumed Stress with displacement based elements. More...

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

Inheritance diagram for Ikarus::AssumedStress< PreFE, FE, ASF >:

Public Types
using	Traits = PreFE::Traits

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

using	LocalView = typename Traits::LocalView

using	Geometry = typename Traits::Geometry

using	GridView = typename Traits::GridView

using	Pre = AssumedStressPre< ASF >

using	AssumedStressFunction = ASF

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, Traits::mydim, Traits::worlddim >, ResultShape::Vector >

using	StrainVector = Eigen::Vector< double, strainDim >

using	MaterialMatrix = Eigen::Matrix< double, strainDim, strainDim >

Public Member Functions
	AssumedStress (const Pre &pre)
	Constructor for Assunmed Stress elements. More...

const auto &	asVariant () const
	Gets the variant representing the type of Assumed Stress. More...

auto	numberOfInternalVariables () const
	Gets the number of AssumedStress parameters based on the current AssumedStress type. More...

template<template< typename, int, int > class RT> requires (AssumedStress::template supportsResultType<RT>())
auto	calculateAtImpl (const Requirement &req, const Dune::FieldVector< double, Traits::mydim > &local, Dune::PriorityTag< 2 >) const
	Calculates a requested result at a specific local position using the Assumed Stress Method. More...

void	setAssumedStressType (int numberOfInternalVariables)
	Sets the AssumedStress type for 2D elements. More...

const auto &	internalVariable () const
	Gets the internal state variable beta for the AssumedStress element. More...

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

static constexpr int	strainDim = myDim * (myDim + 1) / 2

Protected Member Functions
void	bindImpl ()

void	updateStateImpl (const Requirement &par, const std::remove_reference_t< typename Traits::template VectorType<> > &correction)
	Updates the internal state variable beta_ at the end of an iteration before the update of the displacements done by the non-linear solver. See [2] for implementation details and further references. More...

void	asApplicabilityCheck () const

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

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

template<typename MT , typename BC >
void	subscribeToImpl (BC &bc)

Detailed Description

template<typename PreFE, typename FE, typename ASF>
class Ikarus::AssumedStress< PreFE, FE, ASF >

This class extends a displacement-based element to support Assumed Stress.

Template Parameters

PreFE	Type of the pre finite element.
FE	Type of the finite element.
AST	The as stress function.

Member Typedef Documentation

◆ AssumedStressFunction

template<typename PreFE , typename FE , typename ASF >

using Ikarus::AssumedStress< PreFE, FE, ASF >::AssumedStressFunction = ASF

◆ Geometry

template<typename PreFE , typename FE , typename ASF >

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

◆ GridView

template<typename PreFE , typename FE , typename ASF >

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

◆ LocalView

template<typename PreFE , typename FE , typename ASF >

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

◆ MaterialMatrix

template<typename PreFE , typename FE , typename ASF >

using Ikarus::AssumedStress< PreFE, FE, ASF >::MaterialMatrix = Eigen::Matrix<double, strainDim, strainDim>

◆ Pre

template<typename PreFE , typename FE , typename ASF >

using Ikarus::AssumedStress< PreFE, FE, ASF >::Pre = AssumedStressPre<ASF>

◆ Requirement

template<typename PreFE , typename FE , typename ASF >

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

◆ RTWrapperType

template<typename PreFE , typename FE , typename ASF >

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

using Ikarus::AssumedStress< PreFE, FE, ASF >::RTWrapperType = ResultWrapper<RT<typename Traits::ctype, Traits::mydim, Traits::worlddim>, ResultShape::Vector>

◆ StrainVector

template<typename PreFE , typename FE , typename ASF >

using Ikarus::AssumedStress< PreFE, FE, ASF >::StrainVector = Eigen::Vector<double, strainDim>

◆ Traits

template<typename PreFE , typename FE , typename ASF >

using Ikarus::AssumedStress< PreFE, FE, ASF >::Traits = PreFE::Traits

◆ VectorXOptRef

template<typename PreFE , typename FE , typename ASF >

template<typename ST >

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

Constructor & Destructor Documentation

◆ AssumedStress()

template<typename PreFE , typename FE , typename ASF >

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

inlineexplicit

Parameters

pre	The pre finite element

Member Function Documentation

◆ asApplicabilityCheck()

template<typename PreFE , typename FE , typename ASF >

void Ikarus::AssumedStress< PreFE, FE, ASF >::asApplicabilityCheck ( ) const

inlineprotected

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◆ asVariant()

template<typename PreFE , typename FE , typename ASF >

const auto & Ikarus::AssumedStress< PreFE, FE, ASF >::asVariant ( ) const

inline

Returns: Const reference to the AssumedStress variant.

◆ bindImpl()

template<typename PreFE , typename FE , typename ASF >

void Ikarus::AssumedStress< PreFE, FE, ASF >::bindImpl ( )

inlineprotected

◆ calculateAtImpl()

template<typename PreFE , typename FE , typename ASF >

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

auto Ikarus::AssumedStress< PreFE, FE, ASF >::calculateAtImpl	(	const Requirement &	req,
		const Dune::FieldVector< double, Traits::mydim > &	local,
		Dune::PriorityTag< 2 >
	)		const

inline

This function calculates the results at the specified local coordinates . It takes into account the displacement-based element calculations and, incorporates the AssumedStress method for enhanced accuracy.

Parameters

req	The result requirements.
local	The local coordinates at which results are to be calculated.

Returns: calculated result

Template Parameters

RT	The type representing the requested result.

◆ calculateMatrixImpl()

template<typename PreFE , typename FE , typename ASF >

template<typename ScalarType >

void Ikarus::AssumedStress< PreFE, FE, ASF >::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 ASF >

template<typename ScalarType >

ScalarType Ikarus::AssumedStress< PreFE, FE, ASF >::calculateScalarImpl	(	const Requirement &	par,
		ScalarAffordance	affordance,
		const VectorXOptRef< ScalarType > &	dx = `std::nullopt`
	)		const

inlineprotected

◆ calculateVectorImpl()

template<typename PreFE , typename FE , typename ASF >

template<typename ScalarType >

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

inlineprotected

◆ internalVariable()

template<typename PreFE , typename FE , typename ASF >

const auto & Ikarus::AssumedStress< PreFE, FE, ASF >::internalVariable ( ) const

inline

Returns: Internal state variable (beta).

◆ numberOfInternalVariables()

template<typename PreFE , typename FE , typename ASF >

auto Ikarus::AssumedStress< PreFE, FE, ASF >::numberOfInternalVariables ( ) const

inline

Returns: Number of AssumedStress parameters.

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◆ setAssumedStressType()

template<typename PreFE , typename FE , typename ASF >

void Ikarus::AssumedStress< PreFE, FE, ASF >::setAssumedStressType ( int numberOfInternalVariables )

inline

Parameters

numberOfInternalVariables The number of AssumedStress parameters

◆ subscribeToImpl()

template<typename PreFE , typename FE , typename ASF >

template<typename MT , typename BC >

void Ikarus::AssumedStress< PreFE, FE, ASF >::subscribeToImpl ( BC & bc )

inlineprotected

◆ updateStateImpl()

template<typename PreFE , typename FE , typename ASF >

void Ikarus::AssumedStress< PreFE, FE, ASF >::updateStateImpl	(	const Requirement &	par,
		const std::remove_reference_t< typename Traits::template VectorType<> > &	correction
	)

inlineprotected

Parameters

par	The Requirement object.
correction	The correction in displacement (DeltaD) vector passed based on which the internal state variable beta is to be updated.

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Member Data Documentation

◆ myDim

template<typename PreFE , typename FE , typename ASF >

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

staticconstexpr

◆ strainDim

template<typename PreFE , typename FE , typename ASF >

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

staticconstexpr

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

assumedstress.hh

Public Types

Public Member Functions

Static Public Attributes

Protected Member Functions

Detailed Description

Member Typedef Documentation

◆ AssumedStressFunction

◆ Geometry

◆ GridView

◆ LocalView

◆ MaterialMatrix

◆ Pre

◆ Requirement

◆ RTWrapperType

◆ StrainVector

◆ Traits

◆ VectorXOptRef

Constructor & Destructor Documentation

◆ AssumedStress()

Member Function Documentation

◆ asApplicabilityCheck()

◆ asVariant()

◆ bindImpl()

◆ calculateAtImpl()

◆ calculateMatrixImpl()

◆ calculateScalarImpl()

◆ calculateVectorImpl()

◆ internalVariable()

◆ numberOfInternalVariables()

◆ setAssumedStressType()

◆ subscribeToImpl()

◆ updateStateImpl()

Member Data Documentation

◆ myDim

◆ strainDim