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

#include <itkFEMElement2DC1Beam.h>

Inheritance diagram for itk::fem::Element2DC1Beam:

Collaboration diagram for itk::fem::Element2DC1Beam:

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 Member Functions
virtual ::itk::LightObject::Pointer	CreateAnother (void) const
	Element2DC1Beam (Node::ConstPointer n1_, Node::ConstPointer n2_, Material::ConstPointer mat_)
	Element2DC1Beam ()
virtual void	GetIntegrationPointAndWeight (unsigned int i, VectorType &pt, Float &w, unsigned int order=0) const
virtual bool	GetLocalFromGlobalCoordinates (const VectorType &, VectorType &) const
virtual void	GetMassMatrix (MatrixType &Me) const
virtual Material::ConstPointer	GetMaterial (void) const
virtual void	GetMaterialMatrix (MatrixType &) const
virtual const char *	GetNameOfClass () const
virtual unsigned int	GetNumberOfDegreesOfFreedomPerNode (void) const
virtual unsigned int	GetNumberOfIntegrationPoints (unsigned int order) const
virtual void	GetStiffnessMatrix (MatrixType &Ke) const
virtual void	GetStrainDisplacementMatrix (MatrixType &, const MatrixType &) const
virtual Float	JacobianDeterminant (const VectorType &pt, const MatrixType *pJ) const
virtual void	PopulateEdgeIds (void)
virtual void	SetMaterial (Material::ConstPointer mat_)
virtual void	ShapeFunctionDerivatives (const VectorType &pt, MatrixType &shapeD) const
virtual VectorType	ShapeFunctions (const VectorType &pt) const
Static Public Member Functions
static Pointer	New ()
Protected Member Functions
virtual void	PrintSelf (std::ostream &os, Indent indent) const
Private Attributes
const MaterialLinearElasticity *	m_mat

Detailed Description

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

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

Definition at line 38 of file itkFEMElement2DC1Beam.h.

Member Typedef Documentation

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

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

Definition at line 47 of file itkFEMElement2DC1Beam.h.

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

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

Definition at line 46 of file itkFEMElement2DC1Beam.h.

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

Standard class typedefs.

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

Definition at line 43 of file itkFEMElement2DC1Beam.h.

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

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

Definition at line 45 of file itkFEMElement2DC1Beam.h.

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

Definition at line 44 of file itkFEMElement2DC1Beam.h.

Member Enumeration Documentation

anonymous enum

Methods related to numeric integration

Enumerator:

DefaultIntegrationOrder

Definition at line 96 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 [virtual]

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 `[virtual]`

Get the Integration point and weight

Implements itk::fem::Element.

virtual bool itk::fem::Element2DC1Beam::GetLocalFromGlobalCoordinates	(	const VectorType &	,
		VectorType &
	)		const `[inline, virtual]`

Convert from global to local coordinates

Implements itk::fem::Element.

Definition at line 115 of file itkFEMElement2DC1Beam.h.

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

Get the Mass matrix

Reimplemented from itk::fem::Element.

virtual Material::ConstPointer itk::fem::Element2DC1Beam::GetMaterial ( void ) const [inline, virtual]

Get/Set the material properties for the element

Reimplemented from itk::fem::Element.

Definition at line 132 of file itkFEMElement2DC1Beam.h.

References m_mat.

virtual void itk::fem::Element2DC1Beam::GetMaterialMatrix ( MatrixType & ) const [inline, virtual]

Get the Material matrix

Implements itk::fem::Element.

Definition at line 87 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 [inline, virtual]

Get the degrees of freedom for each node

Implements itk::fem::Element.

Definition at line 124 of file itkFEMElement2DC1Beam.h.

virtual unsigned int itk::fem::Element2DC1Beam::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.

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

Get the Stiffness matrix

Reimplemented from itk::fem::Element.

virtual void itk::fem::Element2DC1Beam::GetStrainDisplacementMatrix	(	MatrixType &	,
		const MatrixType &
	)		const `[inline, virtual]`

Get the Strain Displacement matrix

Implements itk::fem::Element.

Definition at line 82 of file itkFEMElement2DC1Beam.h.

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

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.

Reimplemented from itk::LightObject.

virtual void itk::fem::Element2DC1Beam::PopulateEdgeIds ( void ) [inline, virtual]

No edges to populate in this class

Implements itk::fem::Element.

Definition at line 144 of file itkFEMElement2DC1Beam.h.

virtual void itk::fem::Element2DC1Beam::PrintSelf	(	std::ostream &	os,
		Indent	indent
	)		const `[protected, virtual]`

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 ) [inline, virtual]

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.