MFEM v4.7.0
Finite element discretization library
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mfem::TMOP_Metric_098 Class Reference

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

#include <tmop.hpp>

Inheritance diagram for mfem::TMOP_Metric_098:
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Collaboration diagram for mfem::TMOP_Metric_098:
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Public Member Functions

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'.
 
- 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 real_t EvalWMatrixForm (const DenseMatrix &Jpt) const
 Evaluates the metric in matrix form (opposed to invariant form). Used for validating the invariant evaluations.
 
virtual int Id () const
 Return the metric ID.
 
- Public Member Functions inherited from mfem::HyperelasticModel
 HyperelasticModel ()
 
virtual ~HyperelasticModel ()
 
void SetTransformation (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.
 
- Protected Attributes inherited from mfem::TMOP_QualityMetric
const DenseMatrixJtr
 
- Protected Attributes inherited from mfem::HyperelasticModel
ElementTransformationTtr
 

Detailed Description

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

Definition at line 613 of file tmop.hpp.

Member Function Documentation

◆ AssembleH()

virtual void mfem::TMOP_Metric_098::AssembleH ( const DenseMatrix & Jpt,
const DenseMatrix & DS,
const real_t weight,
DenseMatrix & A ) const
inlinevirtual

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 622 of file tmop.hpp.

◆ EvalP()

virtual void mfem::TMOP_Metric_098::EvalP ( const DenseMatrix & Jpt,
DenseMatrix & P ) const
inlinevirtual

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 619 of file tmop.hpp.

◆ EvalW()

real_t mfem::TMOP_Metric_098::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 773 of file tmop.cpp.


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