mfem::TMOP_Metric_321 Class Reference

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 real_t	EvalWMatrixForm (const DenseMatrix &Jpt) const
	Evaluates the metric in matrix form (opposed to invariant form). Used for validating the invariant evaluations.
virtual real_t	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.
virtual void	EvalP (const DenseMatrix &Jpt, DenseMatrix &P) const
	Evaluate the 1st Piola-Kirchhoff stress tensor, P = P(Jpt).
virtual void	AssembleH (const DenseMatrix &Jpt, const DenseMatrix &DS, const real_t weight, DenseMatrix &A) const
	Evaluate the derivative of the 1st Piola-Kirchhoff stress tensor and assemble its contribution to the local gradient matrix 'A'.
virtual int	Id () const
	Return the metric ID.
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.
Public Member Functions inherited from mfem::HyperelasticModel
	HyperelasticModel ()
virtual	~HyperelasticModel ()
void	SetTransformation (ElementTransformation &Ttr_)

Protected Attributes
InvariantsEvaluator3D< real_t >	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.

Detailed Description

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

Definition at line 847 of file tmop.hpp.

Member Function Documentation

AssembleH()

void mfem::TMOP_Metric_321::AssembleH ( const DenseMatrix & Jpt, const DenseMatrix & DS, const real_t 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 1219 of file tmop.cpp.

EvalP()

void mfem::TMOP_Metric_321::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 1208 of file tmop.cpp.

EvalW()

real_t mfem::TMOP_Metric_321::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 1197 of file tmop.cpp.

EvalWMatrixForm()

real_t mfem::TMOP_Metric_321::EvalWMatrixForm ( const DenseMatrix & Jpt ) const

virtual

Evaluates the metric in matrix form (opposed to invariant form). Used for validating the invariant evaluations.

Reimplemented from mfem::TMOP_QualityMetric.

Definition at line 1187 of file tmop.cpp.

Id()

virtual int mfem::TMOP_Metric_321::Id ( ) const

inlinevirtual

Return the metric ID.

Reimplemented from mfem::TMOP_QualityMetric.

Definition at line 864 of file tmop.hpp.

Member Data Documentation

ie

InvariantsEvaluator3D<real_t> mfem::TMOP_Metric_321::ie

mutableprotected

Definition at line 850 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