Model::Solid::Linear::Laplacian Class Reference

Inheritance diagram for Model::Solid::Linear::Laplacian:

Collaboration diagram for Model::Solid::Linear::Laplacian:

Public Member Functions
	Laplacian ()
	Laplacian (Set::Scalar alpha)
	Laplacian (Solid< Set::Sym::Diagonal > base)
	~Laplacian ()
void	Define (Set::Scalar alpha=1.0)
Set::Scalar	W (const Set::Matrix &gradu) const override
Set::Matrix	DW (const Set::Matrix &gradu) const override
Set::Matrix4< AMREX_SPACEDIM, Set::Sym::Diagonal >	DDW (const Set::Matrix &) const override
Public Member Functions inherited from Model::Solid::Solid< Set::Sym::Diagonal >
	Solid ()
virtual	~Solid ()
virtual void	Advance (Set::Scalar, Set::Matrix, Set::Matrix, Set::Scalar)
virtual bool	ContainsNan ()
virtual void	Print (std::ostream &out) const

Static Public Member Functions
static Laplacian	Zero ()
static void	Parse (Laplacian value, IO::ParmParse pp)
static Laplacian	Random ()
Static Public Member Functions inherited from Model::Solid::Solid< Set::Sym::Diagonal >
static int	ArithmeticTest (int verbose=0)
static int	DerivativeTest1 (int verbose=0)
static int	DerivativeTest2 (int verbose=0)
static int	MaterialFrameIndifference (int verbose=0)

Data Fields
Set::Matrix4< AMREX_SPACEDIM, Set::Sym::Diagonal >	ddw

Static Public Attributes
static const KinematicVariable	kinvar = KinematicVariable::gradu
Static Public Attributes inherited from Model::Solid::Solid< Set::Sym::Diagonal >
static constexpr Set::Sym	sym
static const KinematicVariable	kinvar

Detailed Description

Isotropic implements the following elastic model

\[ \mathbb{C}_{ijkl} = \alpha\delta_{ik}\delta_{jl} \]

corresponding to the elastic model

\[ \sigma_{ij} = \alpha\delta_{ik}\delta_{jl}u_{k,l} = \alpha u_{i,j} \]

\[ f_{i} = \mathbb{C}_{ijkl}u_{k,jl} = \alpha\delta_{ik}\delta_{jl}u_{k,jl} = \alpha u_{i,jj} \]

Definition at line 25 of file Laplacian.H.

Constructor & Destructor Documentation

Laplacian() [1/3]

Model::Solid::Linear::Laplacian::Laplacian ( )

inline

Definition at line 28 of file Laplacian.H.

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Laplacian() [2/3]

Model::Solid::Linear::Laplacian::Laplacian ( Set::Scalar  alpha )

inline

Definition at line 29 of file Laplacian.H.

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Laplacian() [3/3]

Model::Solid::Linear::Laplacian::Laplacian ( Solid< Set::Sym::Diagonal >  base )

inline

Definition at line 30 of file Laplacian.H.

~Laplacian()

Model::Solid::Linear::Laplacian::~Laplacian ( )

inline

Definition at line 31 of file Laplacian.H.

Member Function Documentation

DDW()

Set::Matrix4<AMREX_SPACEDIM,Set::Sym::Diagonal> Model::Solid::Linear::Laplacian::DDW ( const Set::Matrix &  ) const

inlineoverridevirtual

Reimplemented from Model::Solid::Solid< Set::Sym::Diagonal >.

Definition at line 44 of file Laplacian.H.

Define()

void Model::Solid::Linear::Laplacian::Define ( Set::Scalar  alpha = 1.0 )

inline

Definition at line 32 of file Laplacian.H.

DW()

Set::Matrix Model::Solid::Linear::Laplacian::DW ( const Set::Matrix &  gradu ) const

inlineoverridevirtual

Reimplemented from Model::Solid::Solid< Set::Sym::Diagonal >.

Definition at line 40 of file Laplacian.H.

Parse()

static void Model::Solid::Linear::Laplacian::Parse ( Laplacian  value, IO::ParmParse  pp  )

inlinestatic

Definition at line 53 of file Laplacian.H.

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Random()

static Laplacian Model::Solid::Linear::Laplacian::Random ( )

inlinestatic

Definition at line 63 of file Laplacian.H.

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W()

Set::Scalar Model::Solid::Linear::Laplacian::W ( const Set::Matrix &  gradu ) const

inlineoverridevirtual

Reimplemented from Model::Solid::Solid< Set::Sym::Diagonal >.

Definition at line 36 of file Laplacian.H.

Zero()

static Laplacian Model::Solid::Linear::Laplacian::Zero ( )

inlinestatic

Definition at line 49 of file Laplacian.H.

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Field Documentation

ddw

Set::Matrix4<AMREX_SPACEDIM,Set::Sym::Diagonal> Model::Solid::Linear::Laplacian::ddw

Definition at line 61 of file Laplacian.H.

kinvar

const KinematicVariable Model::Solid::Linear::Laplacian::kinvar = KinematicVariable::gradu

static

Definition at line 62 of file Laplacian.H.

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

• src/Model/Solid/Linear/Laplacian.H