#include <itkFEMElement3DC0LinearHexahedron.h>

Inheritance diagram for itk::fem::Element3DC0LinearHexahedron:

Collaboration diagram for itk::fem::Element3DC0LinearHexahedron:

Public Types
typedef SmartPointer< const Self >	ConstPointer
typedef SmartPointer< Self >	Pointer
typedef Element3DC0LinearHexahedron	Self
typedef TemplatedParentClass	Superclass
typedef ElementStd< 8, 3 >	TemplatedParentClass
Public Types inherited from itk::fem::ElementStd< 8, 3 >
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
Float	Determinant3x3 (const VectorType &c1, const VectorType &c2, const VectorType &c3) const
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
void	InterpolationDerivs (const VectorType &pcoords, VectorType &derivs) const
void	InterpolationFunctions (const VectorType &pcoords, VectorType &sf) 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< 8, 3 >
	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 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	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< 8, 3 >
virtual void	SetNodeInternal (unsigned int n, const Node *node)

Additional Inherited Members
Protected Attributes inherited from itk::fem::ElementStd< 8, 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
InternalReferenceCountType	m_ReferenceCount
SimpleFastMutexLock	m_ReferenceCountLock

Detailed Description

8-noded, linear, C0 continuous finite element in 3D space.

The ordering of the nodes should be defined in the following order:

             5 (0,1,1)                6 (1,1,1)
             *&mdash;&mdash;&mdash;&mdash;&mdash;&mdash;&mdash;&mdash;*
            /|                       /|
           / |                      / |
          /  |                     /  |
         /   |                    /   |
        /    |         (1,1,0) 7 /    |

(0,1,0) 4*————————* | | 1* —————- | —-*2 (1,0,1) | / (0,0,1) | / | / | / | / | / | / | / |/ |/ *————————* 0 3 (0,0,0) (1,0)

This is an abstract class. Specific concrete implemenations of this It must be combined with the physics component of the problem. This has already been done in the following classes:

See also:: Element3DC0LinearHexahedronMembrane; Element3DC0LinearHexahedronStrain

Definition at line 63 of file itkFEMElement3DC0LinearHexahedron.h.

Member Typedef Documentation

typedef SmartPointer<const Self> itk::fem::Element3DC0LinearHexahedron::ConstPointer

Reimplemented from itk::fem::ElementStd< 8, 3 >.

Reimplemented in itk::fem::Element3DMembrane< Element3DC0LinearHexahedron >, itk::fem::Element3DStrain< Element3DC0LinearHexahedron >, itk::fem::Element3DC0LinearHexahedronMembrane, and itk::fem::Element3DC0LinearHexahedronStrain.

Definition at line 72 of file itkFEMElement3DC0LinearHexahedron.h.

typedef SmartPointer<Self> itk::fem::Element3DC0LinearHexahedron::Pointer

Reimplemented from itk::fem::ElementStd< 8, 3 >.

Reimplemented in itk::fem::Element3DMembrane< Element3DC0LinearHexahedron >, itk::fem::Element3DStrain< Element3DC0LinearHexahedron >, itk::fem::Element3DC0LinearHexahedronMembrane, and itk::fem::Element3DC0LinearHexahedronStrain.

Definition at line 71 of file itkFEMElement3DC0LinearHexahedron.h.

typedef Element3DC0LinearHexahedron itk::fem::Element3DC0LinearHexahedron::Self

Standard class typedefs.

Reimplemented from itk::fem::ElementStd< 8, 3 >.

Reimplemented in itk::fem::Element3DMembrane< Element3DC0LinearHexahedron >, itk::fem::Element3DStrain< Element3DC0LinearHexahedron >, itk::fem::Element3DC0LinearHexahedronMembrane, and itk::fem::Element3DC0LinearHexahedronStrain.

Definition at line 68 of file itkFEMElement3DC0LinearHexahedron.h.

typedef TemplatedParentClass itk::fem::Element3DC0LinearHexahedron::Superclass

Reimplemented from itk::fem::ElementStd< 8, 3 >.

Reimplemented in itk::fem::Element3DMembrane< Element3DC0LinearHexahedron >, itk::fem::Element3DStrain< Element3DC0LinearHexahedron >, itk::fem::Element3DC0LinearHexahedronMembrane, and itk::fem::Element3DC0LinearHexahedronStrain.

Definition at line 70 of file itkFEMElement3DC0LinearHexahedron.h.

typedef ElementStd<8, 3> itk::fem::Element3DC0LinearHexahedron::TemplatedParentClass

Definition at line 69 of file itkFEMElement3DC0LinearHexahedron.h.

Member Function Documentation

Float itk::fem::Element3DC0LinearHexahedron::Determinant3x3	(	const VectorType &	c1,
		const VectorType &	c2,
		const VectorType &	c3
	)		const

virtual void itk::fem::Element3DC0LinearHexahedron::GetIntegrationPointAndWeight	(	unsigned int	i,
		VectorType &	pt,
		Float &	w,
		unsigned int	order
	)		const

virtual

Methods related to numeric integration

Implements itk::fem::Element.

virtual bool itk::fem::Element3DC0LinearHexahedron::GetLocalFromGlobalCoordinates	(	const VectorType &	globalPt,
		VectorType &	localPt
	)		const

virtual

Convert from global to local coordinates

Implements itk::fem::Element.

virtual const char* itk::fem::Element3DC0LinearHexahedron::GetNameOfClass ( ) const

virtual

Run-time type information (and related methods).

Reimplemented from itk::fem::ElementStd< 8, 3 >.

Reimplemented in itk::fem::Element3DMembrane< Element3DC0LinearHexahedron >, itk::fem::Element3DC0LinearHexahedronMembrane, itk::fem::Element3DC0LinearHexahedronStrain, and itk::fem::Element3DStrain< Element3DC0LinearHexahedron >.

virtual unsigned int itk::fem::Element3DC0LinearHexahedron::GetNumberOfIntegrationPoints ( unsigned int order ) const

virtual

Returns total number of integration points, for given order of Gauss-Legendre numerical integration rule.

Note:: This function must be implemented in derived element classes, and is expected to provide valid number of integration points for up to gaussMaxOrder-th order of integration.

See also:: GetIntegrationPointAndWeight()

Implements itk::fem::Element.

void itk::fem::Element3DC0LinearHexahedron::InterpolationDerivs	(	const VectorType &	pcoords,
		VectorType &	derivs
	)		const

void itk::fem::Element3DC0LinearHexahedron::InterpolationFunctions	(	const VectorType &	pcoords,
		VectorType &	sf
	)		const

Methods used in computing parametric/local coordinates given global coordinates.

virtual void itk::fem::Element3DC0LinearHexahedron::PopulateEdgeIds ( void )

protectedvirtual

Set the edge order and the points defining each edge

Implements itk::fem::Element.

virtual void itk::fem::Element3DC0LinearHexahedron::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< 8, 3 >.

Reimplemented in itk::fem::Element3DMembrane< Element3DC0LinearHexahedron >, itk::fem::Element3DStrain< Element3DC0LinearHexahedron >, itk::fem::Element3DC0LinearHexahedronMembrane, and itk::fem::Element3DC0LinearHexahedronStrain.