mfem::TMOP_Metric_311 Class Reference

3D Size (V) untangling metric. More...

#include <tmop.hpp>

Inheritance diagram for mfem::TMOP_Metric_311:

Collaboration diagram for mfem::TMOP_Metric_311:

Public Member Functions
	TMOP_Metric_311 (double epsilon=1e-4)
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...
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...
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 int	Id () const
	Return the metric ID. More...
Public Member Functions inherited from mfem::HyperelasticModel
	HyperelasticModel ()
virtual	~HyperelasticModel ()
void	SetTransformation (ElementTransformation &Ttr_)

Protected Attributes
const double	eps
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 Size (V) untangling metric.

Definition at line 745 of file tmop.hpp.

Constructor & Destructor Documentation

TMOP_Metric_311()

mfem::TMOP_Metric_311::TMOP_Metric_311 ( double  epsilon = 1e-4 )

inline

Definition at line 752 of file tmop.hpp.

Member Function Documentation

AssembleH()

void mfem::TMOP_Metric_311::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 1006 of file tmop.cpp.

EvalP()

void mfem::TMOP_Metric_311::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::TMOP_QualityMetric.

Definition at line 998 of file tmop.cpp.

EvalW()

double mfem::TMOP_Metric_311::EvalW ( const DenseMatrix &  Jpt ) const

virtual

Evaluate the strain energy density function, W = W(Jpt), by using the 2D or 3D matrix invariants, see linalg/invariants.hpp.

Parameters

[in]

Jpt

Represents the target->physical transformation Jacobian matrix.

Implements mfem::TMOP_QualityMetric.

Definition at line 989 of file tmop.cpp.

Member Data Documentation

eps

const double mfem::TMOP_Metric_311::eps

protected

Definition at line 748 of file tmop.hpp.

ie

InvariantsEvaluator3D<double> mfem::TMOP_Metric_311::ie

mutableprotected

Definition at line 749 of file tmop.hpp.

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

• fem/tmop.hpp
• fem/tmop.cpp