itk::fem::Element2DC0LinearTriangularMembrane Class Reference

#include <itkFEMElement2DC0LinearTriangularMembrane.h>

Inheritance diagram for itk::fem::Element2DC0LinearTriangularMembrane:

Collaboration diagram for itk::fem::Element2DC0LinearTriangularMembrane:

Detailed Description

3-noded finite element class in 2D space.

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

(0,1) 2

• |\ | \ | \ | \ | \ | \ *---—* 0 1 (0,0) (0,1)

The constitutive equation used is from membrane bending energy. This class combines the geometry of the FE problem defined in Element2DC0LinearTriangular and the physics of the problem defined in Element2DMembrane

See Also

Element2DC0LinearTriangularStrain

Element2DC0LinearTriangularStress

This element is combined from Element2DC0LinearTriangular and Element2DMembrane.

Examples:

RegistrationITKv3/DeformableRegistration1.cxx, and RegistrationITKv4/DeformableRegistration1.cxx.

Definition at line 61 of file itkFEMElement2DC0LinearTriangularMembrane.h.

Public Types
typedef SmartPointer< const Self >	ConstPointer
typedef SmartPointer< Self >	Pointer
typedef Element2DC0LinearTriangularMembrane	Self
typedef Element2DMembrane < Element2DC0LinearTriangular >	Superclass
Public Types inherited from itk::fem::Element2DMembrane< Element2DC0LinearTriangular >
typedef SmartPointer< const Self >	ConstPointer
typedef Superclass::Float	Float
typedef Superclass::MatrixType	MatrixType
typedef SmartPointer< Self >	Pointer
typedef Element2DMembrane	Self
typedef Element2DC0LinearTriangular	Superclass
typedef Superclass::VectorType	VectorType
Public Types inherited from itk::fem::Element2DC0LinearTriangular
enum	{ DefaultIntegrationOrder = 1 }
typedef SmartPointer< const Self >	ConstPointer
typedef SmartPointer< Self >	Pointer
typedef Element2DC0LinearTriangular	Self
typedef TemplatedParentClass	Superclass
typedef ElementStd< 3, 2 >	TemplatedParentClass
Public Types inherited from itk::fem::ElementStd< 3, 2 >
enum
enum
enum
typedef SmartPointer< const Self >	ConstPointer
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 SmartPointer< Self >	Pointer
typedef ElementStd	Self
typedef Element	Superclass
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 SmartPointer< const Self >	ConstPointer
typedef unsigned int	DegreeOfFreedomIDType
typedef unsigned long	ElementIdentifier
typedef double	Float
typedef vnl_matrix< Float >	MatrixType
typedef Node::ConstPointer	NodeIDType
typedef SmartPointer< Self >	Pointer
typedef Element	Self
typedef FEMLightObject	Superclass
typedef vnl_vector< Float >	VectorType
typedef FEMLightObject	LoadType
typedef LoadType::Pointer	LoadPointer
Public Types inherited from itk::fem::FEMLightObject
typedef Self	Baseclass
typedef SmartPointer< const Self >	ConstPointer
typedef SmartPointer< Self >	Pointer
typedef FEMLightObject	Self
typedef itk::LightObject	Superclass
Public Types inherited from itk::LightObject
typedef SmartPointer< const Self >	ConstPointer
typedef SmartPointer< Self >	Pointer
typedef LightObject	Self

Public Member Functions
virtual ::itk::LightObject::Pointer	CreateAnother (void) const ITK_OVERRIDE
	Element2DC0LinearTriangularMembrane ()
	Element2DC0LinearTriangularMembrane (NodeIDType n1_, NodeIDType n2_, NodeIDType n3_, Material::ConstPointer p_)
virtual const char *	GetNameOfClass () const
Public Member Functions inherited from itk::fem::Element2DMembrane< Element2DC0LinearTriangular >
	Element2DMembrane ()
void	GetMassMatrix (MatrixType &Me) const
virtual Material::ConstPointer	GetMaterial (void) const
virtual void	GetMaterialMatrix (MatrixType &D) const
virtual unsigned int	GetNumberOfDegreesOfFreedomPerNode (void) const
virtual void	GetStrainDisplacementMatrix (MatrixType &B, const MatrixType &shapeDgl) const
virtual void	SetMaterial (Material::ConstPointer mat_)
Public Member Functions inherited from itk::fem::Element2DC0LinearTriangular
virtual void	GetIntegrationPointAndWeight (unsigned int i, VectorType &pt, Float &w, unsigned int order) const ITK_OVERRIDE
virtual bool	GetLocalFromGlobalCoordinates (const VectorType &globalPt, VectorType &localPt) const ITK_OVERRIDE
virtual unsigned int	GetNumberOfIntegrationPoints (unsigned int order) const ITK_OVERRIDE
virtual Float	JacobianDeterminant (const VectorType &pt, const MatrixType *pJ=ITK_NULLPTR) const ITK_OVERRIDE
virtual void	JacobianInverse (const VectorType &pt, MatrixType &invJ, const MatrixType *pJ=ITK_NULLPTR) const ITK_OVERRIDE
virtual void	ShapeFunctionDerivatives (const VectorType &pt, MatrixType &shapeD) const ITK_OVERRIDE
virtual VectorType	ShapeFunctions (const VectorType &pt) const ITK_OVERRIDE
Public Member Functions inherited from itk::fem::ElementStd< 3, 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 unsigned int	GetNumberOfDegreesOfFreedom (void) const
virtual void	GetStiffnessMatrix (MatrixType &Ke) const
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=ITK_NULLPTR) const
virtual void	ShapeFunctionGlobalDerivatives (const VectorType &pt, MatrixType &shapeDgl, const MatrixType *pJ=ITK_NULLPTR, const MatrixType *pshapeD=ITK_NULLPTR) 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 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

Static Public Member Functions
static Pointer	New ()
Static Public Member Functions inherited from itk::LightObject
static void	BreakOnError ()
static Pointer	New ()

Protected Member Functions
virtual void	PrintSelf (std::ostream &os, Indent indent) const ITK_OVERRIDE
Protected Member Functions inherited from itk::fem::Element2DC0LinearTriangular
virtual void	PopulateEdgeIds (void) ITK_OVERRIDE
Protected Member Functions inherited from itk::fem::ElementStd< 3, 2 >
virtual void	SetNodeInternal (unsigned int n, const Node *node)
Protected Member Functions inherited from itk::fem::FEMLightObject
	FEMLightObject ()
	FEMLightObject (const FEMLightObject &o)
virtual	~FEMLightObject ()
Protected Member Functions inherited from itk::LightObject
virtual LightObject::Pointer	InternalClone () const
	LightObject ()
virtual void	PrintHeader (std::ostream &os, Indent indent) const
virtual void	PrintTrailer (std::ostream &os, Indent indent) const
virtual	~LightObject ()

Additional Inherited Members
Static Public Attributes inherited from itk::fem::Element2DC0LinearTriangular
static const unsigned int	Nip [6]
static const Float	trigGaussRuleInfo [6][7][4]
Static Public Attributes inherited from itk::fem::Element
static const Float	gaussPoint [gaussMaxOrder+1][gaussMaxOrder]
static const Float	gaussWeight [gaussMaxOrder+1][gaussMaxOrder]
Protected Types inherited from itk::LightObject
typedef int	InternalReferenceCountType
Protected Attributes inherited from itk::fem::Element2DMembrane< Element2DC0LinearTriangular >
const MaterialLinearElasticity *	m_mat
Protected Attributes inherited from itk::fem::ElementStd< 3, 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

Member Typedef Documentation

typedef SmartPointer<const Self> itk::fem::Element2DC0LinearTriangularMembrane::ConstPointer

Definition at line 69 of file itkFEMElement2DC0LinearTriangularMembrane.h.

typedef SmartPointer<Self> itk::fem::Element2DC0LinearTriangularMembrane::Pointer

Definition at line 68 of file itkFEMElement2DC0LinearTriangularMembrane.h.

typedef Element2DC0LinearTriangularMembrane itk::fem::Element2DC0LinearTriangularMembrane::Self

Standard class typedefs.

Definition at line 66 of file itkFEMElement2DC0LinearTriangularMembrane.h.

typedef Element2DMembrane<Element2DC0LinearTriangular> itk::fem::Element2DC0LinearTriangularMembrane::Superclass

Definition at line 67 of file itkFEMElement2DC0LinearTriangularMembrane.h.

Constructor & Destructor Documentation

itk::fem::Element2DC0LinearTriangularMembrane::Element2DC0LinearTriangularMembrane

(

)

Default constructor only clears the internal storage

itk::fem::Element2DC0LinearTriangularMembrane::Element2DC0LinearTriangularMembrane	(	NodeIDType	n1_,
		NodeIDType	n2_,
		NodeIDType	n3_,
		Material::ConstPointer	p_
	)

Construct an element by specifying pointers to 3 points and a material.

Member Function Documentation

virtual::itk::LightObject::Pointer itk::fem::Element2DC0LinearTriangularMembrane::CreateAnother ( void  ) const

virtual

CreateAnother method will clone the existing instance of this type, including its internal member variables.

Reimplemented from itk::LightObject.

virtual const char* itk::fem::Element2DC0LinearTriangularMembrane::GetNameOfClass ( ) const

virtual

Run-time type information (and related methods).

Reimplemented from itk::fem::Element2DMembrane< Element2DC0LinearTriangular >.

static Pointer itk::fem::Element2DC0LinearTriangularMembrane::New ( )

static

Method for creation through the object factory.

virtual void itk::fem::Element2DC0LinearTriangularMembrane::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::Element2DMembrane< Element2DC0LinearTriangular >.

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

• itkFEMElement2DC0LinearTriangularMembrane.h