Ikarus::Materials::Volumetric< VF > Struct Template Reference

Interface for the volumetric part of a hyperelastic material. Has to be parametrized with a volumetric function. More...

#include <ikarus/finiteelements/mechanics/materials/hyperelastic/volumetric/interface.hh>

Public Types
using	VolumetricFunction = VF
using	MaterialParameter = double

Public Member Functions
template<typename VFF >
	Volumetric (MaterialParameter matPar, VFF &&vf)
	Construct a new volumetric part. More...
const MaterialParameter	materialParameter () const
	Returns the material parameters stored in the deviatoric part of the material. More...
template<typename ST >
ST	storedEnergy (const ST &J) const
	Computes stored energy of the volumetric function. More...
template<typename ST >
ST	firstDerivative (const ST &J) const
	Computes the first derivatives of the energy of the volumetric function w.r.t \( J \). More...
template<typename ST >
ST	secondDerivative (const ST &J) const
	Computes the second derivatives of the energy of the volumetric function w.r.t \( J \). More...

Static Public Member Functions
static constexpr std::string	name () noexcept

Detailed Description

template<Concepts::VolumetricFunction VF>
struct Ikarus::Materials::Volumetric< VF >

The volumetric part of the hyperelastic model, i.e., related to \( U(J) \), is parametrized with a certain volumetric function (VF) implemented in terms of the determinant of the deformation gradient. The underlying volumetric function must only implement the energy \( U(J) \) and its first and second derivatives w.r.t \( J \).

Template Parameters

VF	Volumetric function.

Member Typedef Documentation

MaterialParameter

template<Concepts::VolumetricFunction VF>

using Ikarus::Materials::Volumetric< VF >::MaterialParameter = double

VolumetricFunction

template<Concepts::VolumetricFunction VF>

using Ikarus::Materials::Volumetric< VF >::VolumetricFunction = VF

Constructor & Destructor Documentation

Volumetric()

template<Concepts::VolumetricFunction VF>

template<typename VFF >

Ikarus::Materials::Volumetric< VF >::Volumetric ( MaterialParameter  matPar, VFF &&  vf  )

inline

Parameters

matPar	Materialparameter that is considered as the penalty parameter for the constraint against volumetric deformations. Typically, if the deviatoric part of the energy function is a function of the total principal stretches, then this material parameter is the Lamé's first parameter and if the energy is a function of the deviatoric principal stretches, then bulk modulus is used.
vf	the volumetric function

Member Function Documentation

firstDerivative()

template<Concepts::VolumetricFunction VF>

template<typename ST >

ST Ikarus::Materials::Volumetric< VF >::firstDerivative ( const ST &  J ) const

inline

Parameters

J	determinant of the deformation gradient \( J = \det\BF \).

Template Parameters

ST	the scalartype of J

Returns

ST first derivative of the energy.

materialParameter()

template<Concepts::VolumetricFunction VF>

const MaterialParameter Ikarus::Materials::Volumetric< VF >::materialParameter ( ) const

inline

name()

template<Concepts::VolumetricFunction VF>

static constexpr std::string Ikarus::Materials::Volumetric< VF >::name ( )

inlinestaticconstexprnoexcept

secondDerivative()

template<Concepts::VolumetricFunction VF>

template<typename ST >

ST Ikarus::Materials::Volumetric< VF >::secondDerivative ( const ST &  J ) const

inline

Parameters

J	determinant of the deformation gradient \( J = \det\BF \).

Template Parameters

ST	the scalartype of J

Returns

ST second derivative of the energy.

storedEnergy()

template<Concepts::VolumetricFunction VF>

template<typename ST >

ST Ikarus::Materials::Volumetric< VF >::storedEnergy ( const ST &  J ) const

inline

Parameters

J	determinant of the deformation gradient \( J = \det\BF \).

Template Parameters

ST	the scalartype of J

Returns

ST energy.

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

• finiteelements/mechanics/materials/hyperelastic/volumetric/interface.hh