#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 145 of file nonlininteg.hpp.

Constructor & Destructor Documentation

mfem::NeoHookeanModel::NeoHookeanModel	(	double	_mu,
		double	_K,
		double	_g = `1.0`
	)

inline

Definition at line 158 of file nonlininteg.hpp.

mfem::NeoHookeanModel::NeoHookeanModel	(	Coefficient &	_mu,
		Coefficient &	_K,
		Coefficient *	_g = `NULL`
	)

inline

Definition at line 161 of file nonlininteg.hpp.

Member Function Documentation

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 207 of file nonlininteg.cpp.

void mfem::NeoHookeanModel::EvalCoeffs ( ) const

inlineprotected

Definition at line 160 of file nonlininteg.cpp.

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 186 of file nonlininteg.cpp.

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 170 of file nonlininteg.cpp.

Member Data Documentation

DenseMatrix mfem::NeoHookeanModel::C

mutableprotected

Definition at line 153 of file nonlininteg.hpp.

Coefficient * mfem::NeoHookeanModel::c_g

protected

Definition at line 149 of file nonlininteg.hpp.

Coefficient * mfem::NeoHookeanModel::c_K

protected

Definition at line 149 of file nonlininteg.hpp.

Coefficient* mfem::NeoHookeanModel::c_mu

protected

Definition at line 149 of file nonlininteg.hpp.

double mfem::NeoHookeanModel::g

mutableprotected

Definition at line 148 of file nonlininteg.hpp.

DenseMatrix mfem::NeoHookeanModel::G

mutableprotected

Definition at line 153 of file nonlininteg.hpp.

bool mfem::NeoHookeanModel::have_coeffs

protected

Definition at line 150 of file nonlininteg.hpp.

double mfem::NeoHookeanModel::K

mutableprotected

Definition at line 148 of file nonlininteg.hpp.

double mfem::NeoHookeanModel::mu

mutableprotected

Definition at line 148 of file nonlininteg.hpp.

DenseMatrix mfem::NeoHookeanModel::Z

mutableprotected

Definition at line 152 of file nonlininteg.hpp.

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

Public Member Functions

Protected Member Functions

Protected Attributes

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation