#include <itkFEMElement2DC1Beam.h>

Inheritance diagram for itk::fem::Element2DC1Beam:

Collaboration diagram for itk::fem::Element2DC1Beam:

Detailed Description

1D Beam (spring that also bends) finite element in 2D space.

The Displacements at each node are modelled with two translational, and one rotational, degree of freedom.

Definition at line 39 of file itkFEMElement2DC1Beam.h.

Public Types
enum	{ DefaultIntegrationOrder = 1 }

typedef SmartPointer< const Self >	ConstPointer

typedef SmartPointer< Self >	Pointer

typedef Element2DC1Beam	Self

typedef TemplatedParentClass	Superclass

typedef ElementStd< 2, 2 >	TemplatedParentClass

Public Types inherited from itk::fem::ElementStd< 2, 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 override

	Element2DC1Beam ()

	Element2DC1Beam (Node::ConstPointer n1_, Node::ConstPointer n2_, Material::ConstPointer mat_)

virtual void	GetIntegrationPointAndWeight (unsigned int i, VectorType &pt, Float &w, unsigned int order=0) const override

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

virtual void	GetMassMatrix (MatrixType &Me) const override

virtual Material::ConstPointer	GetMaterial (void) const override

virtual void	GetMaterialMatrix (MatrixType &) const override

virtual const char *	GetNameOfClass () const

virtual unsigned int	GetNumberOfDegreesOfFreedomPerNode (void) const override

virtual unsigned int	GetNumberOfIntegrationPoints (unsigned int order) const override

virtual void	GetStiffnessMatrix (MatrixType &Ke) const override

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

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

virtual void	PopulateEdgeIds (void) override

virtual void	SetMaterial (Material::ConstPointer mat_) 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< 2, 2 >
	ElementStd ()

virtual NodeIDType	GetNode (unsigned int n) const override

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

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 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	JacobianInverse (const VectorType &pt, MatrixType &invJ, const MatrixType *pJ=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< 2, 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 ()

Private Attributes
const MaterialLinearElasticity *	m_mat

Additional Inherited Members
Static Public Attributes inherited from itk::fem::Element
static const Float	gaussPoint [gaussMaxOrder+1][gaussMaxOrder]

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

Protected Attributes inherited from itk::fem::ElementStd< 2, 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
AtomicInt< int >	m_ReferenceCount

Member Typedef Documentation

typedef SmartPointer<const Self> itk::fem::Element2DC1Beam::ConstPointer

Definition at line 48 of file itkFEMElement2DC1Beam.h.

typedef SmartPointer<Self> itk::fem::Element2DC1Beam::Pointer

Definition at line 47 of file itkFEMElement2DC1Beam.h.

typedef Element2DC1Beam itk::fem::Element2DC1Beam::Self

Standard class typedefs.

Definition at line 44 of file itkFEMElement2DC1Beam.h.

typedef TemplatedParentClass itk::fem::Element2DC1Beam::Superclass

Definition at line 46 of file itkFEMElement2DC1Beam.h.

typedef ElementStd<2, 2> itk::fem::Element2DC1Beam::TemplatedParentClass

Definition at line 45 of file itkFEMElement2DC1Beam.h.

Member Enumeration Documentation

anonymous enum

Methods related to numeric integration

Enumerator
DefaultIntegrationOrder

Definition at line 97 of file itkFEMElement2DC1Beam.h.

Constructor & Destructor Documentation

itk::fem::Element2DC1Beam::Element2DC1Beam ( )

Default constructor only clears the internal storage

itk::fem::Element2DC1Beam::Element2DC1Beam	(	Node::ConstPointer	n1_,
		Node::ConstPointer	n2_,
		Material::ConstPointer	mat_
	)

Construct an element by specifying two nodes and material

Member Function Documentation

virtual::itk::LightObject::Pointer itk::fem::Element2DC1Beam::CreateAnother ( void ) const

overridevirtual

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

Reimplemented from itk::LightObject.

virtual void itk::fem::Element2DC1Beam::GetIntegrationPointAndWeight	(	unsigned int	i,
		VectorType &	pt,
		Float &	w,
		unsigned int	order = `0`
	)		const

overridevirtual

Get the Integration point and weight

Implements itk::fem::Element.

virtual bool itk::fem::Element2DC1Beam::GetLocalFromGlobalCoordinates	(	const VectorType &	,
		VectorType &
	)		const

inlineoverridevirtual

Convert from global to local coordinates

Implements itk::fem::Element.

Definition at line 116 of file itkFEMElement2DC1Beam.h.

virtual void itk::fem::Element2DC1Beam::GetMassMatrix ( MatrixType & Me ) const

overridevirtual

Get the Mass matrix

Reimplemented from itk::fem::Element.

virtual Material::ConstPointer itk::fem::Element2DC1Beam::GetMaterial ( void ) const

inlineoverridevirtual

Get/Set the material properties for the element

Reimplemented from itk::fem::Element.

Definition at line 133 of file itkFEMElement2DC1Beam.h.

virtual void itk::fem::Element2DC1Beam::GetMaterialMatrix ( MatrixType & ) const

inlineoverridevirtual

Get the Material matrix

Implements itk::fem::Element.

Definition at line 88 of file itkFEMElement2DC1Beam.h.

virtual const char* itk::fem::Element2DC1Beam::GetNameOfClass ( ) const

virtual

Run-time type information (and related methods).

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

virtual unsigned int itk::fem::Element2DC1Beam::GetNumberOfDegreesOfFreedomPerNode ( void ) const

inlineoverridevirtual

Get the degrees of freedom for each node

Implements itk::fem::Element.

Definition at line 125 of file itkFEMElement2DC1Beam.h.

virtual unsigned int itk::fem::Element2DC1Beam::GetNumberOfIntegrationPoints ( unsigned int order ) const

overridevirtual

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.

virtual void itk::fem::Element2DC1Beam::GetStiffnessMatrix ( MatrixType & Ke ) const

overridevirtual

Get the Stiffness matrix

Reimplemented from itk::fem::Element.

virtual void itk::fem::Element2DC1Beam::GetStrainDisplacementMatrix	(	MatrixType &	,
		const MatrixType &
	)		const

inlineoverridevirtual

Get the Strain Displacement matrix

Implements itk::fem::Element.

Definition at line 83 of file itkFEMElement2DC1Beam.h.

virtual Float itk::fem::Element2DC1Beam::JacobianDeterminant	(	const VectorType &	pt,
		const MatrixType *	pJ
	)		const

overridevirtual

Return the determinate of the Jacobian

Reimplemented from itk::fem::Element.

static Pointer itk::fem::Element2DC1Beam::New ( )

static

Method for creation through the object factory.

virtual void itk::fem::Element2DC1Beam::PopulateEdgeIds ( void )

inlineoverridevirtual

No edges to populate in this class

Implements itk::fem::Element.

Definition at line 145 of file itkFEMElement2DC1Beam.h.

virtual void itk::fem::Element2DC1Beam::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::ElementStd< 2, 2 >.

virtual void itk::fem::Element2DC1Beam::SetMaterial ( Material::ConstPointer )

inlineoverridevirtual

Set the pointer to the Material object used by the element. All derived classes, which use objects of Material class should override this method to provide access to the material from the base class.