#include <itkFEMElement2DC0QuadraticTriangular.h>

Inheritance diagram for itk::fem::Element2DC0QuadraticTriangular:

Collaboration diagram for itk::fem::Element2DC0QuadraticTriangular:

Public Types
enum	{ DefaultIntegrationOrder = 2 }
typedef SmartPointer< const Self >	ConstPointer
typedef SmartPointer< Self >	Pointer
typedef Element2DC0QuadraticTriangular	Self
typedef TemplatedParentClass	Superclass
typedef ElementStd< 6, 2 >	TemplatedParentClass
Public Types inherited from itk::fem::ElementStd< 6, 2 >
enum
enum
enum
typedef Superclass::DegreeOfFreedomIDType	DegreeOfFreedomIDType
typedef Superclass::Float	Float
typedef Superclass::LoadPointer	LoadPointer
typedef Superclass::LoadType	LoadType
typedef Superclass::MatrixType	MatrixType
typedef Superclass::Node	Node
typedef Superclass::NodeIDType	NodeIDType
typedef Superclass::VectorType	VectorType
Public Types inherited from itk::fem::Element
enum	{ InvalidDegreeOfFreedomID = 0xffffffff }
enum	{ gaussMaxOrder = 10 }
typedef FEMPArray< Element >	ArrayType
typedef VectorContainer < ElementIdentifier, Element::Pointer >	ArrayType1
typedef unsigned long	ElementIdentifier
Public Types inherited from itk::fem::FEMLightObject
typedef Self	Baseclass
Public Types inherited from itk::LightObject

Public Member Functions
virtual void	GetIntegrationPointAndWeight (unsigned int i, VectorType &pt, Float &w, unsigned int order) const
virtual bool	GetLocalFromGlobalCoordinates (const VectorType &GlobalPt, VectorType &LocalPt) const
virtual const char *	GetNameOfClass () const
virtual unsigned int	GetNumberOfIntegrationPoints (unsigned int order) const
virtual Float	JacobianDeterminant (const VectorType &pt, const MatrixType *pJ=0) const
virtual void	JacobianInverse (const VectorType &pt, MatrixType &invJ, const MatrixType *pJ=0) const
virtual void	ShapeFunctionDerivatives (const VectorType &pt, MatrixType &shapeD) const
virtual VectorType	ShapeFunctions (const VectorType &pt) const
Public Member Functions inherited from itk::fem::ElementStd< 6, 2 >
	ElementStd ()
virtual NodeIDType	GetNode (unsigned int n) const
virtual const VectorType &	GetNodeCoordinates (unsigned int n) const
virtual unsigned int	GetNumberOfNodes (void) const
virtual unsigned int	GetNumberOfSpatialDimensions () const
virtual void	SetNode (unsigned int n, NodeIDType node)
virtual void	SetNode (unsigned int n, typename Superclass::Node::Pointer node)
Public Member Functions inherited from itk::fem::Element
virtual std::vector < std::vector< int > >	GetEdgeIds (void) const
virtual Float	GetElementDeformationEnergy (MatrixType &LocalSolution) const
virtual VectorType	GetGlobalFromLocalCoordinates (const VectorType &pt) const
virtual void	GetLandmarkContributionMatrix (float eta, MatrixType &Le) const
virtual void	GetMassMatrix (MatrixType &Me) const
virtual Material::ConstPointer	GetMaterial (void) const
virtual void	GetMaterialMatrix (MatrixType &D) const =0
virtual unsigned int	GetNumberOfDegreesOfFreedom (void) const
virtual unsigned int	GetNumberOfDegreesOfFreedomPerNode (void) const =0
virtual void	GetStiffnessMatrix (MatrixType &Ke) const
virtual void	GetStrainDisplacementMatrix (MatrixType &B, const MatrixType &shapeDgl) const =0
virtual VectorType	GetStrainsAtPoint (const VectorType &pt, const Solution &sol, unsigned int index) const
virtual VectorType	GetStressesAtPoint (const VectorType &pt, const VectorType &e, const Solution &sol, unsigned int index) const
virtual VectorType	InterpolateSolution (const VectorType &pt, const Solution &sol, unsigned int solutionIndex=0) const
virtual Float	InterpolateSolutionN (const VectorType &pt, const Solution &sol, unsigned int f, unsigned int solutionIndex=0) const
virtual void	Jacobian (const VectorType &pt, MatrixType &J, const MatrixType *pshapeD=0) const
virtual void	SetMaterial (Material::ConstPointer)
virtual void	ShapeFunctionGlobalDerivatives (const VectorType &pt, MatrixType &shapeDgl, const MatrixType pJ=0, const MatrixType pshapeD=0) const
DegreeOfFreedomIDType	GetDegreeOfFreedom (unsigned int local_dof) const
Public Member Functions inherited from itk::fem::FEMLightObject
int	GetGlobalNumber () const
void	SetGlobalNumber (int)
Public Member Functions inherited from itk::LightObject
virtual Pointer	CreateAnother () const
virtual void	Delete ()
virtual int	GetReferenceCount () const
	itkCloneMacro (Self)
void	Print (std::ostream &os, Indent indent=0) const
virtual void	Register () const
virtual void	SetReferenceCount (int)
virtual void	UnRegister () const

Protected Member Functions
virtual void	PopulateEdgeIds (void)
virtual void	PrintSelf (std::ostream &os, Indent indent) const
Protected Member Functions inherited from itk::fem::ElementStd< 6, 2 >
virtual void	SetNodeInternal (unsigned int n, const Node *node)

Additional Inherited Members
Protected Attributes inherited from itk::fem::ElementStd< 6, 2 >
const Node *	m_node [NumberOfNodes]
Protected Attributes inherited from itk::fem::Element
std::vector< std::vector< int > >	m_EdgeIds
Protected Attributes inherited from itk::fem::FEMLightObject
int	m_GlobalNumber
Protected Attributes inherited from itk::LightObject
InternalReferenceCountType	m_ReferenceCount
SimpleFastMutexLock	m_ReferenceCountLock

Detailed Description

6-noded, quadratic, C0 continuous finite element in 2D space that defines a triangle.

The ordering of the nodes is counter clockwise. That is the nodes should be defined in the following order:

(0,0.5) 5 * * 4 (0.5, 0.5) | \ | \ *—–*—–* 0 3 1 (0,0) (0,0.5) (0,1)

This class defines the geometry of the FE problem. It must be combined with the physics component of the problem. This has already been done in the following classes:

See also:: Element2DC0QuadraticTriangularStrain; Element2DC0QuadraticTriangularStress

Definition at line 57 of file itkFEMElement2DC0QuadraticTriangular.h.

Member Typedef Documentation

typedef SmartPointer<const Self> itk::fem::Element2DC0QuadraticTriangular::ConstPointer

Reimplemented from itk::fem::ElementStd< 6, 2 >.

Reimplemented in itk::fem::Element2DC0QuadraticTriangularStrain, itk::fem::Element2DC0QuadraticTriangularStress, itk::fem::Element2DStrain< Element2DC0QuadraticTriangular >, and itk::fem::Element2DStress< Element2DC0QuadraticTriangular >.

Definition at line 66 of file itkFEMElement2DC0QuadraticTriangular.h.

typedef SmartPointer<Self> itk::fem::Element2DC0QuadraticTriangular::Pointer

Reimplemented from itk::fem::ElementStd< 6, 2 >.

Reimplemented in itk::fem::Element2DC0QuadraticTriangularStrain, itk::fem::Element2DC0QuadraticTriangularStress, itk::fem::Element2DStrain< Element2DC0QuadraticTriangular >, and itk::fem::Element2DStress< Element2DC0QuadraticTriangular >.

Definition at line 65 of file itkFEMElement2DC0QuadraticTriangular.h.

typedef Element2DC0QuadraticTriangular itk::fem::Element2DC0QuadraticTriangular::Self

Standard class typedefs.

Reimplemented from itk::fem::ElementStd< 6, 2 >.

Reimplemented in itk::fem::Element2DC0QuadraticTriangularStrain, itk::fem::Element2DC0QuadraticTriangularStress, itk::fem::Element2DStrain< Element2DC0QuadraticTriangular >, and itk::fem::Element2DStress< Element2DC0QuadraticTriangular >.

Definition at line 62 of file itkFEMElement2DC0QuadraticTriangular.h.

typedef TemplatedParentClass itk::fem::Element2DC0QuadraticTriangular::Superclass

Reimplemented from itk::fem::ElementStd< 6, 2 >.

Reimplemented in itk::fem::Element2DC0QuadraticTriangularStrain, itk::fem::Element2DC0QuadraticTriangularStress, itk::fem::Element2DStrain< Element2DC0QuadraticTriangular >, and itk::fem::Element2DStress< Element2DC0QuadraticTriangular >.

Definition at line 64 of file itkFEMElement2DC0QuadraticTriangular.h.

typedef ElementStd<6, 2> itk::fem::Element2DC0QuadraticTriangular::TemplatedParentClass

Definition at line 63 of file itkFEMElement2DC0QuadraticTriangular.h.

Member Enumeration Documentation

anonymous enum

Methods related to numeric integration

Enumerator:

DefaultIntegrationOrder

Definition at line 76 of file itkFEMElement2DC0QuadraticTriangular.h.

Member Function Documentation

virtual void itk::fem::Element2DC0QuadraticTriangular::GetIntegrationPointAndWeight	(	unsigned int	i,
		VectorType &	pt,
		Float &	w,
		unsigned int	order
	)		const

virtual

Get the Integration point and weight

Implements itk::fem::Element.

virtual bool itk::fem::Element2DC0QuadraticTriangular::GetLocalFromGlobalCoordinates	(	const VectorType &	GlobalPt,
		VectorType &	LocalPt
	)		const

virtual

Convert from global to local coordinates

Implements itk::fem::Element.

virtual const char* itk::fem::Element2DC0QuadraticTriangular::GetNameOfClass ( ) const

virtual

Run-time type information (and related methods).

Reimplemented from itk::fem::ElementStd< 6, 2 >.

Reimplemented in itk::fem::Element2DC0QuadraticTriangularStrain, itk::fem::Element2DC0QuadraticTriangularStress, itk::fem::Element2DStrain< Element2DC0QuadraticTriangular >, and itk::fem::Element2DStress< Element2DC0QuadraticTriangular >.

virtual unsigned int itk::fem::Element2DC0QuadraticTriangular::GetNumberOfIntegrationPoints ( unsigned int order ) const

virtual

Get the number of integration points

Implements itk::fem::Element.

virtual Float itk::fem::Element2DC0QuadraticTriangular::JacobianDeterminant	(	const VectorType &	pt,
		const MatrixType *	pJ = `0`
	)		const

virtual

Compute the determinant of the Jacobian matrix at a given point with respect to the local coordinate system.

Parameters:

pt	Point in local element coordinates.
pJ	Optional pointer to Jacobian matrix computed at point pt. If this is set to 0, the Jacobian will be computed as necessary.

Reimplemented from itk::fem::Element.

virtual void itk::fem::Element2DC0QuadraticTriangular::JacobianInverse	(	const VectorType &	pt,
		MatrixType &	invJ,
		const MatrixType *	pJ = `0`
	)		const

virtual

Compute the inverse of the Jacobian matrix

Reimplemented from itk::fem::Element.

virtual void itk::fem::Element2DC0QuadraticTriangular::PopulateEdgeIds ( void )

protectedvirtual

Set the edge order and the points defining each edge

Implements itk::fem::Element.

virtual void itk::fem::Element2DC0QuadraticTriangular::PrintSelf	(	std::ostream &	os,
		Indent	indent
	)		const

protectedvirtual

Methods invoked by Print() to print information about the object including superclasses. Typically not called by the user (use Print() instead) but used in the hierarchical print process to combine the output of several classes.

Reimplemented from itk::fem::ElementStd< 6, 2 >.

Reimplemented in itk::fem::Element2DStrain< Element2DC0QuadraticTriangular >, itk::fem::Element2DStress< Element2DC0QuadraticTriangular >, itk::fem::Element2DC0QuadraticTriangularStrain, and itk::fem::Element2DC0QuadraticTriangularStress.