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itk::fem::Element2DC1Beam Class Reference

#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 38 of file itkFEMElement2DC1Beam.h.

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 SmartPointer< const SelfConstPointer
 
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< SelfPointer
 
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< ElementArrayType
 
typedef VectorContainer
< ElementIdentifier,
Element::Pointer
ArrayType1
 
typedef SmartPointer< const SelfConstPointer
 
typedef unsigned int DegreeOfFreedomIDType
 
typedef unsigned long ElementIdentifier
 
typedef double Float
 
typedef vnl_matrix< FloatMatrixType
 
typedef Node::ConstPointer NodeIDType
 
typedef SmartPointer< SelfPointer
 
typedef Element Self
 
typedef FEMLightObject Superclass
 
typedef vnl_vector< FloatVectorType
 
typedef FEMLightObject LoadType
 
typedef LoadType::Pointer LoadPointer
 
- Public Types inherited from itk::fem::FEMLightObject
typedef Self Baseclass
 
typedef SmartPointer< const SelfConstPointer
 
typedef SmartPointer< SelfPointer
 
typedef FEMLightObject Self
 
typedef itk::LightObject Superclass
 
- Public Types inherited from itk::LightObject
typedef SmartPointer< const SelfConstPointer
 
typedef SmartPointer< SelfPointer
 
typedef LightObject Self
 

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

- Static Public Attributes inherited from itk::fem::Element
static const Float gaussPoint [gaussMaxOrder+1][gaussMaxOrder]
 
static const Float gaussWeight [gaussMaxOrder+1][gaussMaxOrder]
 
- Protected Types inherited from itk::LightObject
typedef int InternalReferenceCountType
 
- Protected Attributes inherited from itk::fem::ElementStd< 2, 2 >
const Nodem_node [NumberOfNodes]
 

Member Typedef Documentation

Definition at line 47 of file itkFEMElement2DC1Beam.h.

Definition at line 46 of file itkFEMElement2DC1Beam.h.

Standard class typedefs.

Definition at line 43 of file itkFEMElement2DC1Beam.h.

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.

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 elementReturn 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 154 of file itkFEMElement2DC1Beam.h.

Referenced by GetMaterial(), and SetMaterial().


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