#include <nonlininteg.hpp>

Inheritance diagram for mfem::InverseHarmonicModel:

Collaboration diagram for mfem::InverseHarmonicModel:

Public Member Functions
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 Attributes
DenseMatrix	Z

DenseMatrix	S

DenseMatrix	G

DenseMatrix	C

Protected Attributes inherited from mfem::HyperelasticModel
ElementTransformation *	Ttr

Detailed Description

Inverse-harmonic hyperelastic model with a strain energy density function given by the formula: W(J) = (1/2) det(J) Tr((J J^t)^{-1}) where J is the deformation gradient.

Definition at line 241 of file nonlininteg.hpp.

Member Function Documentation

◆ AssembleH()

void mfem::InverseHarmonicModel::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 196 of file nonlininteg.cpp.