mfem::TMOP_AMetric_050 Class Reference

2D barrier Skew (Q) metric. More...

#include <tmop.hpp>

Inheritance diagram for mfem::TMOP_AMetric_050:

Collaboration diagram for mfem::TMOP_AMetric_050:

Public Member Functions
real_t	EvalWMatrixForm (const DenseMatrix &Jpt) const override
	Evaluates the metric in matrix form (opposed to invariant form). Used for validating the invariant evaluations.
real_t	EvalW (const DenseMatrix &Jpt) const override
	Evaluate the strain energy density function, W = W(Jpt), by using the 2D or 3D matrix invariants, see linalg/invariants.hpp.
void	EvalP (const DenseMatrix &Jpt, DenseMatrix &P) const override
	Evaluate the 1st Piola-Kirchhoff stress tensor, P = P(Jpt).
void	EvalPW (const DenseMatrix &Jpt, DenseMatrix &PW) const override
void	AssembleH (const DenseMatrix &Jpt, const DenseMatrix &DS, const real_t weight, DenseMatrix &A) const override
	Evaluate the derivative of the 1st Piola-Kirchhoff stress tensor and assemble its contribution to the local gradient matrix 'A'.
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.
virtual int	Id () const
	Return the metric ID.
Public Member Functions inherited from mfem::HyperelasticModel
	HyperelasticModel ()
virtual	~HyperelasticModel ()
void	SetTransformation (ElementTransformation &Ttr_)

Protected Attributes
InvariantsEvaluator2D< 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.
void	DefaultAssembleH (const DenseTensor &H, const DenseMatrix &DS, const real_t weight, DenseMatrix &A) const
	See AssembleH(). This is a default implementation for the case when the 2nd derivatives of the metric are pre-computed and stored into H. This function is used in combination with AD-based computations.

Detailed Description

2D barrier Skew (Q) metric.

Definition at line 1188 of file tmop.hpp.

Member Function Documentation

AssembleH()

void mfem::TMOP_AMetric_050::AssembleH ( const DenseMatrix & Jpt, const DenseMatrix & DS, const real_t weight, DenseMatrix & A ) const

overridevirtual

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 2059 of file tmop.cpp.

EvalP()

void mfem::TMOP_AMetric_050::EvalP ( const DenseMatrix & Jpt, DenseMatrix & P ) const

overridevirtual

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 2047 of file tmop.cpp.

EvalPW()

void mfem::TMOP_AMetric_050::EvalPW ( const DenseMatrix & Jpt, DenseMatrix & PW ) const

overridevirtual

Compute dmu/dW

Reimplemented from mfem::TMOP_QualityMetric.

Definition at line 2053 of file tmop.cpp.

EvalW()

real_t mfem::TMOP_AMetric_050::EvalW ( const DenseMatrix & Jpt ) const

inlineoverridevirtual

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 1196 of file tmop.hpp.

EvalWMatrixForm()

real_t mfem::TMOP_AMetric_050::EvalWMatrixForm ( const DenseMatrix & Jpt ) const

overridevirtual

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

Reimplemented from mfem::TMOP_QualityMetric.

Definition at line 2033 of file tmop.cpp.

Member Data Documentation

ie

InvariantsEvaluator2D<real_t> mfem::TMOP_AMetric_050::ie

mutableprotected

Definition at line 1191 of file tmop.hpp.

---

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

• fem/tmop.hpp
• fem/tmop.cpp