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ITK
4.4.0
Insight Segmentation and Registration Toolkit
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#include <itkFEMElement2DC0LinearQuadrilateralMembrane.h>
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
Definition at line 57 of file itkFEMElement2DC0LinearQuadrilateralMembrane.h.
Public Member Functions | |
virtual ::itk::LightObject::Pointer | CreateAnother (void) const |
Element2DC0LinearQuadrilateralMembrane () | |
Element2DC0LinearQuadrilateralMembrane (NodeIDType n1_, NodeIDType n2_, NodeIDType n3_, NodeIDType n4_, Material::ConstPointer p_) | |
virtual const char * | GetNameOfClass () const |
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Element2DMembrane () | |
void | GetMassMatrix (MatrixType &Me) const |
virtual Material::ConstPointer | GetMaterial (void) const |
virtual void | GetMaterialMatrix (MatrixType &D) const |
virtual unsigned int | GetNumberOfDegreesOfFreedomPerNode (void) const |
virtual void | GetStrainDisplacementMatrix (MatrixType &B, const MatrixType &shapeDgl) const |
virtual void | SetMaterial (Material::ConstPointer mat_) |
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Float | Determinant2x2 (const VectorType &c1, const VectorType &c2) 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 unsigned int | GetNumberOfIntegrationPoints (unsigned int order) const |
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 |
virtual VectorType | ShapeFunctions (const VectorType &pt) const |
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ElementStd () | |
virtual NodeIDType | GetNode (unsigned int n) const |
virtual const VectorType & | GetNodeCoordinates (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) |
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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=0) const |
virtual Float | JacobianDeterminant (const VectorType &pt, const MatrixType *pJ=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 |
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int | GetGlobalNumber () const |
void | SetGlobalNumber (int) |
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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 |
Additional Inherited Members | |
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static const Float | gaussPoint [gaussMaxOrder+1][gaussMaxOrder] |
static const Float | gaussWeight [gaussMaxOrder+1][gaussMaxOrder] |
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typedef int | InternalReferenceCountType |
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const MaterialLinearElasticity * | m_mat |
Definition at line 65 of file itkFEMElement2DC0LinearQuadrilateralMembrane.h.
Definition at line 64 of file itkFEMElement2DC0LinearQuadrilateralMembrane.h.
typedef Element2DC0LinearQuadrilateralMembrane itk::fem::Element2DC0LinearQuadrilateralMembrane::Self |
Standard class typedefs.
Definition at line 62 of file itkFEMElement2DC0LinearQuadrilateralMembrane.h.
typedef Element2DMembrane<Element2DC0LinearQuadrilateral> itk::fem::Element2DC0LinearQuadrilateralMembrane::Superclass |
Definition at line 63 of file itkFEMElement2DC0LinearQuadrilateralMembrane.h.
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_ | ||
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Construct an element by specifying pointers to 4 points and a material.
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virtual |
CreateAnother method will clone the existing instance of this type, including its internal member variables.
Reimplemented from itk::LightObject.
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virtual |
Run-time type information (and related methods).
Reimplemented from itk::fem::Element2DMembrane< Element2DC0LinearQuadrilateral >.
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static |
Method for creation through the object factory.
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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::Element2DMembrane< Element2DC0LinearQuadrilateral >.