Materials

Materials for mechanical simulations. More...

Collaboration diagram for Materials:

Modules
	Material Tags
	All tags related to strain or stress types.

Files
file	interface.hh
	Contains the Material interface class and related template functions for material properties.
file	linearelasticity.hh
	Contains the LinearElasticityT class implementation.
file	neohooke.hh
	Implementation of the NeoHooke material model.
file	strainconversions.hh
	Implementation of strain-related functions.
file	svk.hh
	Implementation of the Saint Venant-Kirchhoff material model.
file	tags.hh
	Definition of several material related enums.
file	vanishingstress.hh
	Defines the VanishingStress material model and related functions.

Classes
struct	Ikarus::Material< MaterialImpl >
	Interface classf or materials. More...
struct	Ikarus::LinearElasticityT< ScalarType_ >
	Implementation of the Linear Elasticity material model.The energy is computed as. More...
struct	Ikarus::NeoHookeT< ScalarType_ >
	Implementation of the Neo-Hookean material model.The energy is computed as. More...
struct	Ikarus::StVenantKirchhoffT< ScalarType_ >
	Implementation of the Saint Venant-Kirchhoff material model.The energy is computed as. More...
struct	Ikarus::VanishingStress< stressIndexPair, MaterialImpl >
	VanishingStress material model that enforces stress components to be zero. More...

Enumerations
enum class	Ikarus::StrainTags {   Ikarus::StrainTags::BEGIN , Ikarus::StrainTags::linear , Ikarus::StrainTags::deformationGradient , Ikarus::StrainTags::displacementGradient ,   Ikarus::StrainTags::greenLagrangian , Ikarus::StrainTags::rightCauchyGreenTensor , Ikarus::StrainTags::END }
	A strongly typed enum class representing the type of the passed strain. More...
enum class	Ikarus::StressTags {   Ikarus::StressTags::BEGIN , Ikarus::StressTags::linear , Ikarus::StressTags::PK2 , Ikarus::StressTags::PK1 ,   Ikarus::StressTags::Cauchy , Ikarus::StressTags::Kirchhoff , Ikarus::StressTags::END }
	A strongly typed enum class representing the type of the computed stresses. More...
enum class	Ikarus::TangentModuliTags {   Ikarus::TangentModuliTags::BEGIN , Ikarus::TangentModuliTags::Material , Ikarus::TangentModuliTags::Spatial , Ikarus::TangentModuliTags::TwoPoint ,   Ikarus::TangentModuliTags::END }
	A strongly typed enum class representing the type of the computed tangent moduli. More...

Functions
template<StrainTags tag, typename Derived >
auto	Ikarus::createGreenLagrangianStrains (const Eigen::MatrixBase< Derived > &eMB)
	Create Green-Lagrangian strain based on the input. More...
template<StrainTags tag, typename Derived >
decltype(auto)	Ikarus::createDeformationGradient (const Eigen::MatrixBase< Derived > &eMB)
	Create the deformation gradient based on the input. More...
template<StrainTags tag, typename Derived >
decltype(auto)	Ikarus::createRightCauchyGreen (const Eigen::MatrixBase< Derived > &eMB)
	Create right Cauchy-Green tensor based on the input. More...
template<StrainTags from, StrainTags to, typename Derived >
decltype(auto)	Ikarus::transformStrain (const Eigen::MatrixBase< Derived > &eRaw)
	Transform strain from one type to another. More...

Detailed Description

Enumeration Type Documentation

StrainTags

enum class Ikarus::StrainTags

strong

Enumerator
BEGIN
linear
deformationGradient
displacementGradient
greenLagrangian
rightCauchyGreenTensor
END

StressTags

enum class Ikarus::StressTags

strong

Enumerator
BEGIN
linear
PK2
PK1
Cauchy
Kirchhoff
END

TangentModuliTags

enum class Ikarus::TangentModuliTags

strong

Enumerator
BEGIN
Material
Spatial
TwoPoint
END

Function Documentation

createDeformationGradient()

template<StrainTags tag, typename Derived >

decltype(auto) Ikarus::createDeformationGradient

(

const Eigen::MatrixBase< Derived > &

eMB

)

This function creates deformation gradient based on the input strain matrix. What to do is decided by the provided strain tag

Template Parameters

tag	Type of the strain tag.
Derived	Type of the Eigen matrix.

Parameters

eMB	Eigen matrix representing the input strain.

Returns

The deformation gradient matrix.

createGreenLagrangianStrains()

template<StrainTags tag, typename Derived >

auto Ikarus::createGreenLagrangianStrains

(

const Eigen::MatrixBase< Derived > &

eMB

)

This function creates Green-Lagrangian strains based on the input strain matrix. What to do is decided by the provided strain tag

Template Parameters

tag	Type of the strain tag.
Derived	Type of the Eigen matrix.

Parameters

eMB	Eigen matrix representing the input strain.

Returns

The Green-Lagrangian strains matrix.

createRightCauchyGreen()

template<StrainTags tag, typename Derived >

decltype(auto) Ikarus::createRightCauchyGreen

(

const Eigen::MatrixBase< Derived > &

eMB

)

This function creates Right Cauchy-Green tensor based on the input strain matrix. What to do is decided by the provided strain tag

Template Parameters

tag	Type of the strain tag.
Derived	Type of the Eigen matrix.

Parameters

eMB	Eigen matrix representing the input strain.

Returns

The Right Cauchy-Green tensor matrix.

transformStrain()

template<StrainTags from, StrainTags to, typename Derived >

decltype(auto) Ikarus::transformStrain

(

const Eigen::MatrixBase< Derived > &

eRaw

)

This function transforms one strain component matrix from one type to another, based on the provided strain tags

Template Parameters

from	Type of the source strain tag.
to	Type of the target strain tag.
Derived	Type of the Eigen matrix.

Parameters

eRaw	Eigen matrix representing the input strain.

Returns

The transformed strain matrix.