MFEM  v4.6.0
Finite element discretization library
Public Member Functions | Protected Attributes | List of all members
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:
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Collaboration diagram for mfem::TMOP_Metric_321:
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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 DenseMatrixJtr
 
- Protected Attributes inherited from mfem::HyperelasticModel
ElementTransformationTtr
 

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]JptRepresents the target->physical transformation Jacobian matrix.
[in]DSGradient of the basis matrix (dof x dim).
[in]weightQuadrature weight coefficient for the point.
[in,out]ALocal 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.

◆ 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]JptRepresents the target->physical transformation Jacobian matrix.
[out]PThe evaluated 1st Piola-Kirchhoff stress tensor.

Implements mfem::TMOP_QualityMetric.

Definition at line 1177 of file tmop.cpp.

◆ EvalW()

double 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]JptRepresents the target->physical transformation Jacobian matrix.

Implements mfem::TMOP_QualityMetric.

Definition at line 1166 of file tmop.cpp.

◆ EvalWMatrixForm()

double 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 1156 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 860 of file tmop.hpp.

Member Data Documentation

◆ ie

InvariantsEvaluator3D<double> mfem::TMOP_Metric_321::ie
mutableprotected

Definition at line 846 of file tmop.hpp.


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