3D barrier Shape+Size (VS) metric, well-posed (invex). More...

#include <tmop.hpp>

Inheritance diagram for mfem::TMOP_Metric_321:

Collaboration diagram for mfem::TMOP_Metric_321:

Public Member Functions
virtual double	EvalWMatrixForm (const DenseMatrix &Jpt) const
	Evaluates the metric in matrix form (opposed to invariant form). Used for validating the invariant evaluations. More...

virtual double	EvalW (const DenseMatrix &Jpt) const
	Evaluate the strain energy density function, W = W(Jpt), by using the 2D or 3D matrix invariants, see linalg/invariants.hpp. More...

virtual void	EvalP (const DenseMatrix &Jpt, DenseMatrix &P) const
	Evaluate the 1st Piola-Kirchhoff stress tensor, P = P(Jpt). More...

virtual void	AssembleH (const DenseMatrix &Jpt, 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...

virtual int	Id () const
	Return the metric ID. More...

Public Member Functions inherited from mfem::TMOP_QualityMetric
	TMOP_QualityMetric ()

virtual	~TMOP_QualityMetric ()

virtual void	SetTargetJacobian (const DenseMatrix &Jtr_)
	Specify the reference-element -> target-element Jacobian matrix for the point of interest. More...

Public Member Functions inherited from mfem::HyperelasticModel
	HyperelasticModel ()

virtual	~HyperelasticModel ()

void	SetTransformation (ElementTransformation &Ttr_)

Protected Attributes
InvariantsEvaluator3D< double >	ie

Protected Attributes inherited from mfem::TMOP_QualityMetric
const DenseMatrix *	Jtr

Protected Attributes inherited from mfem::HyperelasticModel
ElementTransformation *	Ttr

Additional Inherited Members
Protected Member Functions inherited from mfem::TMOP_QualityMetric
void	SetTransformation (ElementTransformation &)
	The method HyperelasticModel::SetTransformation() is hidden for TMOP_QualityMetrics, because it is not used. More...

Detailed Description

3D barrier Shape+Size (VS) metric, well-posed (invex).

Definition at line 843 of file tmop.hpp.

Member Function Documentation

◆ AssembleH()

void mfem::TMOP_Metric_321::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::TMOP_QualityMetric.

Definition at line 1188 of file tmop.cpp.