mfem::HyperelasticModel Class Reference

Abstract class for hyperelastic models. More...

#include <nonlininteg.hpp>

Inheritance diagram for mfem::HyperelasticModel:

Collaboration diagram for mfem::HyperelasticModel:

Public Member Functions
	HyperelasticModel ()
virtual	~HyperelasticModel ()
void	SetTransformation (ElementTransformation &Ttr_)
virtual real_t	EvalW (const DenseMatrix &Jpt) const =0
	Evaluate the strain energy density function, W = W(Jpt).
virtual void	EvalP (const DenseMatrix &Jpt, DenseMatrix &P) const =0
	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 =0
	Evaluate the derivative of the 1st Piola-Kirchhoff stress tensor and assemble its contribution to the local gradient matrix 'A'.

Protected Attributes
ElementTransformation *	Ttr

Detailed Description

Abstract class for hyperelastic models.

Definition at line 215 of file nonlininteg.hpp.

Constructor & Destructor Documentation

HyperelasticModel()

mfem::HyperelasticModel::HyperelasticModel ( )

inline

Definition at line 222 of file nonlininteg.hpp.

~HyperelasticModel()

virtual mfem::HyperelasticModel::~HyperelasticModel ( )

inlinevirtual

Definition at line 223 of file nonlininteg.hpp.

Member Function Documentation

AssembleH()

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

pure 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.

Implemented in mfem::InverseHarmonicModel, mfem::NeoHookeanModel, mfem::TMOP_AMetric_011, mfem::TMOP_AMetric_014a, mfem::TMOP_AMetric_036, mfem::TMOP_AMetric_107a, mfem::TMOP_Combo_QualityMetric, mfem::TMOP_Metric_001, mfem::TMOP_Metric_002, mfem::TMOP_Metric_004, mfem::TMOP_Metric_007, mfem::TMOP_Metric_009, mfem::TMOP_Metric_014, mfem::TMOP_Metric_022, mfem::TMOP_Metric_050, mfem::TMOP_Metric_055, mfem::TMOP_Metric_056, mfem::TMOP_Metric_058, mfem::TMOP_Metric_077, mfem::TMOP_Metric_085, mfem::TMOP_Metric_098, mfem::TMOP_Metric_211, mfem::TMOP_Metric_252, mfem::TMOP_Metric_301, mfem::TMOP_Metric_302, mfem::TMOP_Metric_303, mfem::TMOP_Metric_304, mfem::TMOP_Metric_311, mfem::TMOP_Metric_313, mfem::TMOP_Metric_315, mfem::TMOP_Metric_316, mfem::TMOP_Metric_318, mfem::TMOP_Metric_321, mfem::TMOP_Metric_322, mfem::TMOP_Metric_323, mfem::TMOP_Metric_352, mfem::TMOP_Metric_360, mfem::TMOP_Metric_aspratio2D, mfem::TMOP_Metric_aspratio3D, mfem::TMOP_Metric_skew2D, mfem::TMOP_Metric_skew3D, mfem::TMOP_QualityMetric, and mfem::TMOP_WorstCaseUntangleOptimizer_Metric.

EvalP()

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

pure 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.

Implemented in mfem::InverseHarmonicModel, mfem::NeoHookeanModel, mfem::TMOP_AMetric_011, mfem::TMOP_AMetric_014a, mfem::TMOP_AMetric_036, mfem::TMOP_AMetric_107a, mfem::TMOP_Combo_QualityMetric, mfem::TMOP_Metric_001, mfem::TMOP_Metric_002, mfem::TMOP_Metric_004, mfem::TMOP_Metric_007, mfem::TMOP_Metric_009, mfem::TMOP_Metric_014, mfem::TMOP_Metric_022, mfem::TMOP_Metric_050, mfem::TMOP_Metric_055, mfem::TMOP_Metric_056, mfem::TMOP_Metric_058, mfem::TMOP_Metric_077, mfem::TMOP_Metric_085, mfem::TMOP_Metric_098, mfem::TMOP_Metric_211, mfem::TMOP_Metric_252, mfem::TMOP_Metric_301, mfem::TMOP_Metric_302, mfem::TMOP_Metric_303, mfem::TMOP_Metric_304, mfem::TMOP_Metric_311, mfem::TMOP_Metric_313, mfem::TMOP_Metric_315, mfem::TMOP_Metric_316, mfem::TMOP_Metric_318, mfem::TMOP_Metric_321, mfem::TMOP_Metric_322, mfem::TMOP_Metric_323, mfem::TMOP_Metric_352, mfem::TMOP_Metric_360, mfem::TMOP_Metric_aspratio2D, mfem::TMOP_Metric_aspratio3D, mfem::TMOP_Metric_skew2D, mfem::TMOP_Metric_skew3D, mfem::TMOP_QualityMetric, and mfem::TMOP_WorstCaseUntangleOptimizer_Metric.

EvalW()

virtual real_t mfem::HyperelasticModel::EvalW ( const DenseMatrix & Jpt ) const

pure virtual

Evaluate the strain energy density function, W = W(Jpt).

Parameters

[in]

Jpt

Represents the target->physical transformation Jacobian matrix.

Implemented in mfem::InverseHarmonicModel, mfem::NeoHookeanModel, mfem::TMOP_AMetric_011, mfem::TMOP_AMetric_014a, mfem::TMOP_AMetric_036, mfem::TMOP_AMetric_107a, mfem::TMOP_Combo_QualityMetric, mfem::TMOP_Metric_001, mfem::TMOP_Metric_002, mfem::TMOP_Metric_004, mfem::TMOP_Metric_007, mfem::TMOP_Metric_009, mfem::TMOP_Metric_014, mfem::TMOP_Metric_022, mfem::TMOP_Metric_050, mfem::TMOP_Metric_055, mfem::TMOP_Metric_056, mfem::TMOP_Metric_058, mfem::TMOP_Metric_077, mfem::TMOP_Metric_085, mfem::TMOP_Metric_098, mfem::TMOP_Metric_211, mfem::TMOP_Metric_252, mfem::TMOP_Metric_301, mfem::TMOP_Metric_302, mfem::TMOP_Metric_303, mfem::TMOP_Metric_304, mfem::TMOP_Metric_311, mfem::TMOP_Metric_313, mfem::TMOP_Metric_315, mfem::TMOP_Metric_316, mfem::TMOP_Metric_318, mfem::TMOP_Metric_321, mfem::TMOP_Metric_322, mfem::TMOP_Metric_323, mfem::TMOP_Metric_352, mfem::TMOP_Metric_360, mfem::TMOP_Metric_aspratio2D, mfem::TMOP_Metric_aspratio3D, mfem::TMOP_Metric_skew2D, mfem::TMOP_Metric_skew3D, mfem::TMOP_QualityMetric, and mfem::TMOP_WorstCaseUntangleOptimizer_Metric.

SetTransformation()

void mfem::HyperelasticModel::SetTransformation ( ElementTransformation & Ttr_ )

inline

A reference-element to target-element transformation that can be used to evaluate Coefficients.

Note

It is assumed that Ttr_.SetIntPoint() is already called for the point of interest.

Definition at line 229 of file nonlininteg.hpp.

Member Data Documentation

Ttr

ElementTransformation* mfem::HyperelasticModel::Ttr

protected

Reference-element to target-element transformation.

Definition at line 218 of file nonlininteg.hpp.

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

• fem/nonlininteg.hpp