ITK
4.3.0
Insight Segmentation and Registration Toolkit
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#include <itkFEMElement2DC0QuadraticTriangularStress.h>
6-noded finite element class in 2D space for linear elasticity problem. The constitutive equation used is for plane stress.
The ordering of the nodes is counter clockwise. That is the nodes should be defined in the following order:
(0,1) 2 * |\ | \ | \
(0,0.5) 5 * * 4 (0.5, 0.5) | \ | \ *--—*--—* 0 3 1 (0,0) (0,0.5) (0,1)
This class combines the geometry of the FE problem defined in Element2DC0QuadraticTriangular and the physics of the problem defined in Element2DStress
Definition at line 58 of file itkFEMElement2DC0QuadraticTriangularStress.h.
Public Member Functions | |
virtual ::itk::LightObject::Pointer | CreateAnother (void) const |
Element2DC0QuadraticTriangularStress () | |
Element2DC0QuadraticTriangularStress (NodeIDType n1_, NodeIDType n2_, NodeIDType n3_, NodeIDType n4_, NodeIDType n5_, NodeIDType n6_, Material::ConstPointer p_) | |
virtual const char * | GetNameOfClass () const |
Public Member Functions inherited from itk::fem::Element2DStress< Element2DC0QuadraticTriangular > | |
Element2DStress () | |
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_) |
virtual void | SetMaterial (Material::Pointer mat_) |
Public Member Functions inherited from itk::fem::Element2DC0QuadraticTriangular | |
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 |
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 | ShapeFunctionDerivatives (const VectorType &pt, MatrixType &shapeD) const |
virtual VectorType | ShapeFunctions (const VectorType &pt) const |
Public Member Functions inherited from itk::fem::ElementStd< 6, 2 > | |
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) |
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=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::Element2DStress< Element2DC0QuadraticTriangular > | |
virtual void | SetMaterialInternal (const Material *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::Element2DStress< Element2DC0QuadraticTriangular > | |
const MaterialLinearElasticity * | m_mat |
Protected Attributes inherited from itk::fem::ElementStd< 6, 2 > | |
const Node * | m_node [NumberOfNodes] |
Definition at line 66 of file itkFEMElement2DC0QuadraticTriangularStress.h.
Definition at line 65 of file itkFEMElement2DC0QuadraticTriangularStress.h.
Standard class typedefs.
Definition at line 63 of file itkFEMElement2DC0QuadraticTriangularStress.h.
typedef Element2DStress<Element2DC0QuadraticTriangular> itk::fem::Element2DC0QuadraticTriangularStress::Superclass |
Definition at line 64 of file itkFEMElement2DC0QuadraticTriangularStress.h.
itk::fem::Element2DC0QuadraticTriangularStress::Element2DC0QuadraticTriangularStress | ( | ) |
Default constructor only clears the internal storage
itk::fem::Element2DC0QuadraticTriangularStress::Element2DC0QuadraticTriangularStress | ( | NodeIDType | n1_, |
NodeIDType | n2_, | ||
NodeIDType | n3_, | ||
NodeIDType | n4_, | ||
NodeIDType | n5_, | ||
NodeIDType | n6_, | ||
Material::ConstPointer | p_ | ||
) |
Construct an element by specifying pointers to 3 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::Element2DStress< Element2DC0QuadraticTriangular >.
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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::Element2DStress< Element2DC0QuadraticTriangular >.