mfem::NeoHookeanModel Class Reference

#include <nonlininteg.hpp>

Inheritance diagram for mfem::NeoHookeanModel:

Collaboration diagram for mfem::NeoHookeanModel:

Public Member Functions
	NeoHookeanModel (double mu_, double K_, double g_=1.0)
	NeoHookeanModel (Coefficient &mu_, Coefficient &K_, Coefficient *g_=NULL)
virtual double	EvalW (const DenseMatrix &J) const
	Evaluate the strain energy density function, W = W(Jpt). More...
virtual void	EvalP (const DenseMatrix &J, DenseMatrix &P) const
	Evaluate the 1st Piola-Kirchhoff stress tensor, P = P(Jpt). More...
virtual void	AssembleH (const DenseMatrix &J, const DenseMatrix &DS, const double weight, DenseMatrix &A) const
	Evaluate the derivative of the 1st Piola-Kirchhoff stress tensor and assemble its contribution to the local gradient matrix 'A'. More...
Public Member Functions inherited from mfem::HyperelasticModel
	HyperelasticModel ()
virtual	~HyperelasticModel ()
void	SetTransformation (ElementTransformation &Ttr_)

Protected Member Functions
void	EvalCoeffs () const

Protected Attributes
double	mu
double	K
double	g
Coefficient *	c_mu
Coefficient *	c_K
Coefficient *	c_g
bool	have_coeffs
DenseMatrix	Z
DenseMatrix	G
DenseMatrix	C
Protected Attributes inherited from mfem::HyperelasticModel
ElementTransformation *	Ttr

Detailed Description

Neo-Hookean hyperelastic model with a strain energy density function given by the formula: \((\mu/2)(\bar{I}_1 - dim) + (K/2)(det(J)/g - 1)^2\) where J is the deformation gradient and \(\bar{I}_1 = (det(J))^{-2/dim} Tr(J J^t)\). The parameters \(\mu\) and K are the shear and bulk moduli, respectively, and g is a reference volumetric scaling.

Definition at line 284 of file nonlininteg.hpp.

Constructor & Destructor Documentation

NeoHookeanModel() [1/2]

mfem::NeoHookeanModel::NeoHookeanModel ( double  mu_, double  K_, double  g_ = 1.0  )

inline

Definition at line 297 of file nonlininteg.hpp.

NeoHookeanModel() [2/2]

mfem::NeoHookeanModel::NeoHookeanModel ( Coefficient &  mu_, Coefficient &  K_, Coefficient *  g_ = NULL  )

inline

Definition at line 300 of file nonlininteg.hpp.

Member Function Documentation

AssembleH()

void mfem::NeoHookeanModel::AssembleH ( const DenseMatrix &  Jpt, const DenseMatrix &  DS, const double  weight, DenseMatrix &  A  ) const

virtual

Evaluate the derivative of the 1st Piola-Kirchhoff stress tensor and assemble its contribution to the local gradient matrix 'A'.

Parameters

[in]	Jpt	Represents the target->physical transformation Jacobian matrix.
[in]	DS	Gradient of the basis matrix (dof x dim).
[in]	weight	Quadrature weight coefficient for the point.
[in,out]	A	Local gradient matrix where the contribution from this point will be added.

Computes weight * d(dW_dxi)_d(xj) at the current point, for all i and j, where x1 ... xn are the FE dofs. This function is usually defined using the matrix invariants and their derivatives.

Implements mfem::HyperelasticModel.

Definition at line 318 of file nonlininteg.cpp.

EvalCoeffs()

void mfem::NeoHookeanModel::EvalCoeffs ( ) const

inlineprotected

Definition at line 271 of file nonlininteg.cpp.

EvalP()

void mfem::NeoHookeanModel::EvalP ( const DenseMatrix &  Jpt, DenseMatrix &  P  ) const

virtual

Evaluate the 1st Piola-Kirchhoff stress tensor, P = P(Jpt).

Parameters

[in]	Jpt	Represents the target->physical transformation Jacobian matrix.
[out]	P	The evaluated 1st Piola-Kirchhoff stress tensor.

Implements mfem::HyperelasticModel.

Definition at line 297 of file nonlininteg.cpp.

EvalW()

double mfem::NeoHookeanModel::EvalW ( const DenseMatrix &  Jpt ) const

virtual

Evaluate the strain energy density function, W = W(Jpt).

Parameters

[in]

Jpt

Represents the target->physical transformation Jacobian matrix.

Implements mfem::HyperelasticModel.

Definition at line 281 of file nonlininteg.cpp.

Member Data Documentation

C

DenseMatrix mfem::NeoHookeanModel::C

mutableprotected

Definition at line 292 of file nonlininteg.hpp.

c_g

Coefficient * mfem::NeoHookeanModel::c_g

protected

Definition at line 288 of file nonlininteg.hpp.

c_K

Coefficient * mfem::NeoHookeanModel::c_K

protected

Definition at line 288 of file nonlininteg.hpp.

c_mu

Coefficient* mfem::NeoHookeanModel::c_mu

protected

Definition at line 288 of file nonlininteg.hpp.

g

double mfem::NeoHookeanModel::g

mutableprotected

Definition at line 287 of file nonlininteg.hpp.

G

DenseMatrix mfem::NeoHookeanModel::G

mutableprotected

Definition at line 292 of file nonlininteg.hpp.

have_coeffs

bool mfem::NeoHookeanModel::have_coeffs

protected

Definition at line 289 of file nonlininteg.hpp.

K

double mfem::NeoHookeanModel::K

mutableprotected

Definition at line 287 of file nonlininteg.hpp.

mu

double mfem::NeoHookeanModel::mu

mutableprotected

Definition at line 287 of file nonlininteg.hpp.

Z

DenseMatrix mfem::NeoHookeanModel::Z

mutableprotected

Definition at line 291 of file nonlininteg.hpp.

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

• fem/nonlininteg.hpp
• fem/nonlininteg.cpp