2D non-barrier Shape+Size+Orientation (VOS) metric (polyconvex). More...

#include <tmop.hpp>

Inheritance diagram for mfem::TMOP_Metric_014:

Collaboration diagram for mfem::TMOP_Metric_014:

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	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'.

AD1Type	EvalW_AD1 (const std::vector< AD1Type > &T, const std::vector< AD1Type > &W) const override
	First-derivative hook for AD-based computations.

AD2Type	EvalW_AD2 (const std::vector< AD2Type > &T, const std::vector< AD2Type > &W) const override
	Second-derivative hook for AD-based computations.

int	Id () const override
	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.

virtual void	EvalPW (const DenseMatrix &Jpt, DenseMatrix &PW) const

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

virtual	~HyperelasticModel ()

void	SetTransformation (ElementTransformation &Ttr_)

Protected Member Functions
template<typename type >
type	EvalW_AD_impl (const std::vector< type > &T, const std::vector< type > &W) const

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.

Protected Attributes
InvariantsEvaluator2D< real_t >	ie

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

Protected Attributes inherited from mfem::HyperelasticModel
ElementTransformation *	Ttr

Detailed Description

2D non-barrier Shape+Size+Orientation (VOS) metric (polyconvex).

Definition at line 460 of file tmop.hpp.

Member Function Documentation

◆ AssembleH()

void mfem::TMOP_Metric_014::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 1146 of file tmop.cpp.

◆ EvalP()

void mfem::TMOP_Metric_014::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 1134 of file tmop.cpp.

◆ EvalW()

real_t mfem::TMOP_Metric_014::EvalW ( const DenseMatrix & Jpt ) const

overridevirtual

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 1123 of file tmop.cpp.

◆ EvalW_AD1()

AD1Type mfem::TMOP_Metric_014::EvalW_AD1	(	const std::vector< AD1Type > &	T,
		const std::vector< AD1Type > &	W ) const

overridevirtual

First-derivative hook for AD-based computations.

Warning: Not for public use. Internal use for AD-based computations.

Reimplemented from mfem::TMOP_QualityMetric.

Definition at line 1169 of file tmop.cpp.

◆ EvalW_AD2()

AD2Type mfem::TMOP_Metric_014::EvalW_AD2	(	const std::vector< AD2Type > &	T,
		const std::vector< AD2Type > &	W ) const

overridevirtual

Second-derivative hook for AD-based computations.

Warning: Not for public use. Internal use for AD-based computations.

Reimplemented from mfem::TMOP_QualityMetric.

Definition at line 1175 of file tmop.cpp.

◆ EvalW_AD_impl()

template<typename type >

type mfem::TMOP_Metric_014::EvalW_AD_impl	(	const std::vector< type > &	T,
		const std::vector< type > &	W ) const

protected

Definition at line 1163 of file tmop.cpp.

◆ EvalWMatrixForm()

real_t mfem::TMOP_Metric_014::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 1114 of file tmop.cpp.

◆ Id()

int mfem::TMOP_Metric_014::Id ( ) const

inlineoverridevirtual

Return the metric ID.

Reimplemented from mfem::TMOP_QualityMetric.

Definition at line 487 of file tmop.hpp.

Member Data Documentation

◆ ie

InvariantsEvaluator2D<real_t> mfem::TMOP_Metric_014::ie

mutableprotected

Definition at line 463 of file tmop.hpp.

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

fem/tmop.hpp
fem/tmop.cpp

Public Member Functions

Protected Member Functions

Protected Attributes

Detailed Description

Member Function Documentation

◆ AssembleH()

◆ EvalP()

◆ EvalW()

◆ EvalW_AD1()

◆ EvalW_AD2()

◆ EvalW_AD_impl()

◆ EvalWMatrixForm()

◆ Id()

Member Data Documentation

◆ ie