Detailed Description

3-noded finite element class in 3D space for surface membrane problem.

This element is combined from Element3DC0LinearTriangular and Element3DMembrane. A membrane element in three dimensional is an isotropic homogeneous element through a small thickness. The elements have three translational degrees of freedom at each node.

Definition at line 41 of file itkFEMElement3DC0LinearTriangularMembrane.h.

Public Types
typedef SmartPointer< const Self >	ConstPointer

typedef SmartPointer< Self >	Pointer

typedef Element3DC0LinearTriangularMembrane	Self

typedef Element3DMembrane < Element3DC0LinearTriangular >	Superclass

Public Types inherited from itk::fem::Element3DMembrane< Element3DC0LinearTriangular >
typedef SmartPointer< const Self >	ConstPointer

typedef Superclass::Float	Float

typedef Superclass::MatrixType	MatrixType

typedef SmartPointer< Self >	Pointer

typedef Element3DMembrane	Self

typedef Element3DC0LinearTriangular	Superclass

typedef Superclass::VectorType	VectorType

Public Types inherited from itk::fem::Element3DC0LinearTriangular
enum	{ DefaultIntegrationOrder = 1 }

typedef SmartPointer< const Self >	ConstPointer

typedef SmartPointer< Self >	Pointer

typedef Element3DC0LinearTriangular	Self

typedef TemplatedParentClass	Superclass

typedef ElementStd< 3, 3 >	TemplatedParentClass

Public Types inherited from itk::fem::ElementStd< 3, 3 >
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 }

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 override

	Element3DC0LinearTriangularMembrane ()

	Element3DC0LinearTriangularMembrane (NodeIDType n1_, NodeIDType n2_, NodeIDType n3_, Material::ConstPointer p_)

virtual const char *	GetNameOfClass () const

Public Member Functions inherited from itk::fem::Element3DMembrane< Element3DC0LinearTriangular >
	Element3DMembrane ()

void	GetMassMatrix (MatrixType &Me) const override

virtual Material::ConstPointer	GetMaterial (void) const override

virtual void	GetMaterialMatrix (MatrixType &D) const override

virtual unsigned int	GetNumberOfDegreesOfFreedomPerNode (void) const override

virtual void	GetStrainDisplacementMatrix (MatrixType &B, const MatrixType &shapeDgl) const override

virtual void	SetMaterial (Material::ConstPointer mat_) override

Public Member Functions inherited from itk::fem::Element3DC0LinearTriangular
void	ComputeNormalDirection (const VectorType &v1, const VectorType &v2, const VectorType &v3, VectorType &n) const

itk::fem::Element::Float	Determinant2x2 (const VectorType &c1, const VectorType &c2) const

void	GeneralizedProjectPoint (const VectorType &x, const VectorType &origin, const VectorType &normal, VectorType &xproj) const

virtual void	GetIntegrationPointAndWeight (unsigned int i, VectorType &pt, Float &w, unsigned int order) const override

virtual bool	GetLocalFromGlobalCoordinates (const VectorType &globalPt, VectorType &localPt) const override

virtual unsigned int	GetNumberOfIntegrationPoints (unsigned int order) const override

virtual Float	JacobianDeterminant (const VectorType &pt, const MatrixType *pJ=nullptr) const override

virtual void	JacobianInverse (const VectorType &pt, MatrixType &invJ, const MatrixType *pJ=nullptr) const override

virtual void	PopulateEdgeIds () override

virtual void	ShapeFunctionDerivatives (const VectorType &pt, MatrixType &shapeD) const override

virtual VectorType	ShapeFunctions (const VectorType &pt) const override

Public Member Functions inherited from itk::fem::ElementStd< 3, 3 >
	ElementStd ()

virtual const VectorType &	GetNodeCoordinates (unsigned int n) const override

virtual unsigned int	GetNumberOfNodes (void) const override

virtual unsigned int	GetNumberOfSpatialDimensions () const override

virtual void	SetNode (unsigned int n, NodeIDType node) override

virtual void	SetNode (unsigned int n, typename Superclass::Node::Pointer node) override

virtual NodeIDType	GetNode (unsigned int n) const override

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=nullptr) const

virtual void	ShapeFunctionGlobalDerivatives (const VectorType &pt, MatrixType &shapeDgl, const MatrixType pJ=nullptr, const MatrixType pshapeD=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 noexcept

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 override

Protected Member Functions inherited from itk::fem::ElementStd< 3, 3 >
virtual void	SetNodeInternal (unsigned int n, const Node *node)

Protected Member Functions inherited from itk::fem::FEMLightObject
	FEMLightObject ()

	FEMLightObject (const FEMLightObject &o)

virtual	~FEMLightObject () override

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::Element3DC0LinearTriangular
static const unsigned int	Nip [6]

static const Float	trigGaussRuleInfo [6][7][4]

Static Public Attributes inherited from itk::fem::Element
static const unsigned int	gaussMaxOrder = 10

static const Float	gaussPoint [gaussMaxOrder+1][gaussMaxOrder]

static const Float	gaussWeight [gaussMaxOrder+1][gaussMaxOrder]

Protected Attributes inherited from itk::fem::Element3DMembrane< Element3DC0LinearTriangular >
const MaterialLinearElasticity *	m_mat

Protected Attributes inherited from itk::fem::ElementStd< 3, 3 >
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
AtomicInt< int >	m_ReferenceCount

Member Typedef Documentation

typedef SmartPointer<const Self> itk::fem::Element3DC0LinearTriangularMembrane::ConstPointer

Definition at line 49 of file itkFEMElement3DC0LinearTriangularMembrane.h.

typedef SmartPointer<Self> itk::fem::Element3DC0LinearTriangularMembrane::Pointer

Definition at line 48 of file itkFEMElement3DC0LinearTriangularMembrane.h.

typedef Element3DC0LinearTriangularMembrane itk::fem::Element3DC0LinearTriangularMembrane::Self

Standard class typedefs.

Definition at line 46 of file itkFEMElement3DC0LinearTriangularMembrane.h.

typedef Element3DMembrane<Element3DC0LinearTriangular> itk::fem::Element3DC0LinearTriangularMembrane::Superclass

Definition at line 47 of file itkFEMElement3DC0LinearTriangularMembrane.h.

Constructor & Destructor Documentation

itk::fem::Element3DC0LinearTriangularMembrane::Element3DC0LinearTriangularMembrane ( )

Default constructor only clears the internal storage

itk::fem::Element3DC0LinearTriangularMembrane::Element3DC0LinearTriangularMembrane	(	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::Element3DC0LinearTriangularMembrane::CreateAnother ( void ) const

overridevirtual

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

Reimplemented from itk::LightObject.

virtual const char* itk::fem::Element3DC0LinearTriangularMembrane::GetNameOfClass ( ) const

virtual

Run-time type information (and related methods).

Reimplemented from itk::fem::Element3DMembrane< Element3DC0LinearTriangular >.

static Pointer itk::fem::Element3DC0LinearTriangularMembrane::New ( )

static

Method for creation through the object factory.

virtual void itk::fem::Element3DC0LinearTriangularMembrane::PrintSelf	(	std::ostream &	os,
		Indent	indent
	)		const

overrideprotectedvirtual

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::Element3DMembrane< Element3DC0LinearTriangular >.

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

itkFEMElement3DC0LinearTriangularMembrane.h

Detailed Description

Public Types

Public Member Functions

Static Public Member Functions

Protected Member Functions

Additional Inherited Members

Member Typedef Documentation

Constructor & Destructor Documentation

Member Function Documentation