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 $J=det\mathbf{F}$.

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 $J=det\mathbf{F}$.

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 $J=det\mathbf{F}$.

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