itk::fem::Element2DC0LinearLine Class Reference

2-noded, linear, C0 continuous line element in 2D space. takes loads only along the length of the axis More...

#include <itkFEMElement2DC0LinearLine.h>

Inheritance diagram for itk::fem::Element2DC0LinearLine:

Collaboration diagram for itk::fem::Element2DC0LinearLine:

List of all members.

Public Types
enum	{ DefaultIntegrationOrder = 1 }
typedef SmartPointer< const Self >	ConstPointer
typedef SmartPointer< Self >	Pointer
typedef Element2DC0LinearLine	Self
typedef TemplatedParentClass	Superclass
typedef ElementStd< 2, 2 >	TemplatedParentClass
Public Member Functions
Float	DistanceToLine (const VectorType &x, const VectorType &p1, const VectorType &p2, Float &t, VectorType &closestPoint) 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
virtual void	Jacobian (const VectorType &pt, MatrixType &J, const MatrixType *pshapeD=0) const
virtual void	ShapeFunctionDerivatives (const VectorType &pt, MatrixType &shapeD) const
virtual VectorType	ShapeFunctions (const VectorType &pt) const
Protected Member Functions
virtual void	PopulateEdgeIds (void)
virtual void	PrintSelf (std::ostream &os, Indent indent) const

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Detailed Description

2-noded, linear, C0 continuous line element in 2D space. takes loads only along the length of the axis

Definition at line 34 of file itkFEMElement2DC0LinearLine.h.

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Member Typedef Documentation

typedef SmartPointer<const Self> itk::fem::Element2DC0LinearLine::ConstPointer

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

Reimplemented in itk::fem::Element2DC0LinearLineStress, and itk::fem::Element1DStress< Element2DC0LinearLine >.

Definition at line 43 of file itkFEMElement2DC0LinearLine.h.

typedef SmartPointer<Self> itk::fem::Element2DC0LinearLine::Pointer

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

Reimplemented in itk::fem::Element2DC0LinearLineStress, and itk::fem::Element1DStress< Element2DC0LinearLine >.

Definition at line 42 of file itkFEMElement2DC0LinearLine.h.

typedef Element2DC0LinearLine itk::fem::Element2DC0LinearLine::Self

Standard class typedefs.

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

Reimplemented in itk::fem::Element2DC0LinearLineStress, and itk::fem::Element1DStress< Element2DC0LinearLine >.

Definition at line 39 of file itkFEMElement2DC0LinearLine.h.

typedef TemplatedParentClass itk::fem::Element2DC0LinearLine::Superclass

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

Reimplemented in itk::fem::Element2DC0LinearLineStress, and itk::fem::Element1DStress< Element2DC0LinearLine >.

Definition at line 41 of file itkFEMElement2DC0LinearLine.h.

typedef ElementStd<2, 2> itk::fem::Element2DC0LinearLine::TemplatedParentClass

Definition at line 40 of file itkFEMElement2DC0LinearLine.h.

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Member Enumeration Documentation

anonymous enum

Methods related to numeric integration

Enumerator:

DefaultIntegrationOrder

Definition at line 53 of file itkFEMElement2DC0LinearLine.h.

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Member Function Documentation

Float itk::fem::Element2DC0LinearLine::DistanceToLine	(	const VectorType &	x,
		const VectorType &	p1,
		const VectorType &	p2,
		Float &	t,
		VectorType &	closestPoint
	)		const

Distance of a point to a line.(Used in GetLocalFromGlobalCoordinates ).

virtual void itk::fem::Element2DC0LinearLine::GetIntegrationPointAndWeight	(	unsigned int	i,
		VectorType &	pt,
		Float &	w,
		unsigned int	order
	)		const [virtual]

Get the Integration point and weight

Implements itk::fem::Element.

virtual bool itk::fem::Element2DC0LinearLine::GetLocalFromGlobalCoordinates	(	const VectorType &	globalPt,
		VectorType &	localPt
	)		const [virtual]

Get parametric/local coordinates given global coordinates. The function returns true if the global coordinate is within the element else returns false. For a line, line length*1e-4 is used as the tolerance

Implements itk::fem::Element.

virtual const char* itk::fem::Element2DC0LinearLine::GetNameOfClass

(

)

const [virtual]

Run-time type information (and related methods).

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

Reimplemented in itk::fem::Element2DC0LinearLineStress, and itk::fem::Element1DStress< Element2DC0LinearLine >.

virtual unsigned int itk::fem::Element2DC0LinearLine::GetNumberOfIntegrationPoints

(

unsigned int

order

)

const [virtual]

Get the number of integration points

Implements itk::fem::Element.

virtual void itk::fem::Element2DC0LinearLine::Jacobian	(	const VectorType &	pt,
		MatrixType &	J,
		const MatrixType *	pshapeD = 0
	)		const [virtual]

We need to provide our own implementation of calculating Jacobian, because the element lives in 2D space and has only one dimension. The default implementation of Jacobian in the Element base class is not correct since it assumes that the number of element dimensions is equal to the number of spatial dimensions.

Jacobian is a scalar for this element.

Reimplemented from itk::fem::Element.

virtual void itk::fem::Element2DC0LinearLine::PopulateEdgeIds

(

void

)

[protected, virtual]

Set the edge order and the points defining each edge

Implements itk::fem::Element.

virtual void itk::fem::Element2DC0LinearLine::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 >.

Reimplemented in itk::fem::Element2DC0LinearLineStress, and itk::fem::Element1DStress< Element2DC0LinearLine >.

virtual void itk::fem::Element2DC0LinearLine::ShapeFunctionDerivatives	(	const VectorType &	pt,
		MatrixType &	shapeD
	)		const [virtual]

Return the shape functions derivatives in the shapeD matrix

Implements itk::fem::Element.

virtual VectorType itk::fem::Element2DC0LinearLine::ShapeFunctions

(

const VectorType &

pt

)

const [virtual]

Methods related to the geometry of an element Return the shape functions used to interpolate across the element

Implements itk::fem::Element.

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

• itkFEMElement2DC0LinearLine.h