ITK  4.8.0
Insight Segmentation and Registration Toolkit
Public Types | Public Member Functions | Static Public Member Functions | Protected Member Functions | List of all members
itk::fem::Element2DC0LinearQuadrilateralMembrane Class Reference

#include <itkFEMElement2DC0LinearQuadrilateralMembrane.h>

+ Inheritance diagram for itk::fem::Element2DC0LinearQuadrilateralMembrane:
+ Collaboration diagram for itk::fem::Element2DC0LinearQuadrilateralMembrane:

Detailed Description

4-noded finite element class in 2D space.

The ordering of the nodes is counter clockwise. That is the nodes should be defined in the following order:

3 (0,1) 2 (1,1) *---------------------—*

*---------------------—* 0 (0,0) 1 (0,1)

The constitutive equation used is from membrane bending energy. This class combines the geometry of the FE problem defined in Element2DC0LinearQuadrilateral and the physics of the problem defined in Element2DMembrane

See Also
Element2DC0LinearQuadrilateralStrain
Examples:
Examples/RegistrationITKv3/DeformableRegistration1.cxx, and Examples/RegistrationITKv4/DeformableRegistration1.cxx.

Definition at line 58 of file itkFEMElement2DC0LinearQuadrilateralMembrane.h.

Public Types

typedef SmartPointer< const SelfConstPointer
 
typedef SmartPointer< SelfPointer
 
typedef
Element2DC0LinearQuadrilateralMembrane 
Self
 
typedef Element2DMembrane
< Element2DC0LinearQuadrilateral
Superclass
 
- Public Types inherited from itk::fem::Element2DMembrane< Element2DC0LinearQuadrilateral >
typedef SmartPointer< const SelfConstPointer
 
typedef Superclass::Float Float
 
typedef Superclass::MatrixType MatrixType
 
typedef SmartPointer< SelfPointer
 
typedef Element2DMembrane Self
 
typedef
Element2DC0LinearQuadrilateral 
Superclass
 
typedef Superclass::VectorType VectorType
 
- Public Types inherited from itk::fem::Element2DC0LinearQuadrilateral
enum  { DefaultIntegrationOrder = 2 }
 
typedef SmartPointer< const SelfConstPointer
 
typedef SmartPointer< SelfPointer
 
typedef
Element2DC0LinearQuadrilateral 
Self
 
typedef TemplatedParentClass Superclass
 
typedef ElementStd< 4, 2 > TemplatedParentClass
 
- Public Types inherited from itk::fem::ElementStd< 4, 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 override
 
 Element2DC0LinearQuadrilateralMembrane ()
 
 Element2DC0LinearQuadrilateralMembrane (NodeIDType n1_, NodeIDType n2_, NodeIDType n3_, NodeIDType n4_, Material::ConstPointer p_)
 
virtual const char * GetNameOfClass () const
 
- Public Member Functions inherited from itk::fem::Element2DMembrane< Element2DC0LinearQuadrilateral >
 Element2DMembrane ()
 
void GetMassMatrix (MatrixType &Me) const override
 
virtual Material::ConstPointer GetMaterial (void) const override
 
virtual void GetMaterialMatrix (MatrixType &D) const override
 
virtual unsigned int GetNumberOfDegreesOfFreedomPerNode (void) const override
 
virtual void GetStrainDisplacementMatrix (MatrixType &B, const MatrixType &shapeDgl) const override
 
virtual void SetMaterial (Material::ConstPointer mat_) override
 
- Public Member Functions inherited from itk::fem::Element2DC0LinearQuadrilateral
Float Determinant2x2 (const VectorType &c1, const VectorType &c2) const
 
virtual void GetIntegrationPointAndWeight (unsigned int i, VectorType &pt, Float &w, unsigned int order) const override
 
virtual bool GetLocalFromGlobalCoordinates (const VectorType &globalPt, VectorType &localPt) const override
 
virtual unsigned int GetNumberOfIntegrationPoints (unsigned int order) const override
 
void InterpolationDerivs (const VectorType &pcoords, VectorType &derivs) const
 
void InterpolationFunctions (const VectorType &pcoords, VectorType &sf) const
 
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< 4, 2 >
 ElementStd ()
 
virtual NodeIDType GetNode (unsigned int n) const override
 
virtual const VectorTypeGetNodeCoordinates (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 void GetStiffnessMatrix (MatrixType &Ke) 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 Float JacobianDeterminant (const VectorType &pt, const MatrixType *pJ=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::Element2DC0LinearQuadrilateral
virtual void PopulateEdgeIds (void) override
 
- Protected Member Functions inherited from itk::fem::ElementStd< 4, 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 ()
 

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::Element2DMembrane< Element2DC0LinearQuadrilateral >
const MaterialLinearElasticitym_mat
 
- Protected Attributes inherited from itk::fem::ElementStd< 4, 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
AtomicInt< int > m_ReferenceCount
 

Member Typedef Documentation

Standard class typedefs.

Definition at line 63 of file itkFEMElement2DC0LinearQuadrilateralMembrane.h.

Constructor & Destructor Documentation

itk::fem::Element2DC0LinearQuadrilateralMembrane::Element2DC0LinearQuadrilateralMembrane ( )

Default constructor only clears the internal storage

itk::fem::Element2DC0LinearQuadrilateralMembrane::Element2DC0LinearQuadrilateralMembrane ( NodeIDType  n1_,
NodeIDType  n2_,
NodeIDType  n3_,
NodeIDType  n4_,
Material::ConstPointer  p_ 
)

Construct an element by specifying pointers to 4 points and a material.

Member Function Documentation

virtual::itk::LightObject::Pointer itk::fem::Element2DC0LinearQuadrilateralMembrane::CreateAnother ( void  ) const
overridevirtual

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

Reimplemented from itk::LightObject.

virtual const char* itk::fem::Element2DC0LinearQuadrilateralMembrane::GetNameOfClass ( ) const
virtual

Run-time type information (and related methods).

Reimplemented from itk::fem::Element2DMembrane< Element2DC0LinearQuadrilateral >.

static Pointer itk::fem::Element2DC0LinearQuadrilateralMembrane::New ( )
static

Method for creation through the object factory.

virtual void itk::fem::Element2DC0LinearQuadrilateralMembrane::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::Element2DMembrane< Element2DC0LinearQuadrilateral >.


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