ITK  4.2.0
Insight Segmentation and Registration Toolkit
Public Types | Public Member Functions | Static Public Member Functions | Protected Member Functions | Private Attributes
itk::fem::Element2DC1Beam Class Reference

#include <itkFEMElement2DC1Beam.h>

+ Inheritance diagram for itk::fem::Element2DC1Beam:
+ Collaboration diagram for itk::fem::Element2DC1Beam:

List of all members.

Public Types

enum  { DefaultIntegrationOrder = 1 }
typedef SmartPointer< const SelfConstPointer
typedef SmartPointer< SelfPointer
typedef Element2DC1Beam Self
typedef TemplatedParentClass Superclass
typedef ElementStd< 2, 2 > TemplatedParentClass
- Public Types inherited from itk::fem::ElementStd< 2, 2 >
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< ElementArrayType
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

virtual ::itk::LightObject::Pointer CreateAnother (void) const
 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
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
- Public Member Functions inherited from itk::fem::ElementStd< 2, 2 >
 ElementStd ()
virtual NodeIDType GetNode (unsigned int n) const
virtual const VectorTypeGetNodeCoordinates (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 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=0) const
virtual void JacobianInverse (const VectorType &pt, MatrixType &invJ, const MatrixType *pJ=0) const
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 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

Static Public Member Functions

static Pointer New ()

Protected Member Functions

virtual void PrintSelf (std::ostream &os, Indent indent) const
- Protected Member Functions inherited from itk::fem::ElementStd< 2, 2 >
virtual void SetNodeInternal (unsigned int n, const Node *node)

Private Attributes

const MaterialLinearElasticitym_mat

Additional Inherited Members

- Protected Attributes inherited from itk::fem::ElementStd< 2, 2 >
const Nodem_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

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 38 of file itkFEMElement2DC1Beam.h.


Member Typedef Documentation

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

Definition at line 47 of file itkFEMElement2DC1Beam.h.

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

Definition at line 46 of file itkFEMElement2DC1Beam.h.

Standard class typedefs.

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

Definition at line 43 of file itkFEMElement2DC1Beam.h.

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

Definition at line 45 of file itkFEMElement2DC1Beam.h.

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
inlinevirtual

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
inlinevirtual

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
inlinevirtual

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
inlinevirtual

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
inlinevirtual

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  )
inlinevirtual

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
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< 2, 2 >.

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

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.

See also:
GetMaterial

Reimplemented from itk::fem::Element.

Definition at line 137 of file itkFEMElement2DC1Beam.h.

References itk::SmartPointer< TObjectType >::GetPointer(), and m_mat.

virtual void itk::fem::Element2DC1Beam::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::Element2DC1Beam::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.


Member Data Documentation

const MaterialLinearElasticity* itk::fem::Element2DC1Beam::m_mat
private

Pointer to material properties of the element

Definition at line 153 of file itkFEMElement2DC1Beam.h.

Referenced by GetMaterial(), and SetMaterial().


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