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ITK
4.13.0
Insight Segmentation and Registration Toolkit
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#include <itkFEMElement2DC0LinearQuadrilateralStress.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 the principles of linear elasticity. This class combines the geometry of the FE problem defined in Element2DC0LinearQuadrilateral and the physics of the problem defined in Element2DStress
Definition at line 58 of file itkFEMElement2DC0LinearQuadrilateralStress.h.
Public Member Functions | |
virtual ::itk::LightObject::Pointer | CreateAnother (void) const override |
Element2DC0LinearQuadrilateralStress () | |
Element2DC0LinearQuadrilateralStress (NodeIDType n1_, NodeIDType n2_, NodeIDType n3_, NodeIDType n4_, Material::ConstPointer p_) | |
virtual const char * | GetNameOfClass () const |
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Element2DStress () | |
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 |
virtual void | SetMaterial (Material::Pointer 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 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 |
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ElementStd () | |
virtual const VectorType & | GetNodeCoordinates (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 |
virtual NodeIDType | GetNode (unsigned int n) const override |
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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=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 |
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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 noexcept |
Static Public Member Functions | |
static Pointer | New () |
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static void | BreakOnError () |
static Pointer | New () |
Protected Member Functions | |
virtual void | PrintSelf (std::ostream &os, Indent indent) const override |
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virtual void | SetMaterialInternal (const Material *mat_) |
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virtual void | PopulateEdgeIds (void) override |
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virtual void | SetNodeInternal (unsigned int n, const Node *node) |
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FEMLightObject () | |
FEMLightObject (const FEMLightObject &o) | |
virtual | ~FEMLightObject () override |
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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 | |
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static const unsigned int | gaussMaxOrder = 10 |
static const Float | gaussPoint [gaussMaxOrder+1][gaussMaxOrder] |
static const Float | gaussWeight [gaussMaxOrder+1][gaussMaxOrder] |
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const MaterialLinearElasticity * | m_mat |
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const Node * | m_node [NumberOfNodes] |
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std::vector< std::vector< int > > | m_EdgeIds |
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int | m_GlobalNumber |
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AtomicInt< int > | m_ReferenceCount |
Definition at line 66 of file itkFEMElement2DC0LinearQuadrilateralStress.h.
Definition at line 65 of file itkFEMElement2DC0LinearQuadrilateralStress.h.
Standard class typedefs.
Definition at line 63 of file itkFEMElement2DC0LinearQuadrilateralStress.h.
typedef Element2DStress<Element2DC0LinearQuadrilateral> itk::fem::Element2DC0LinearQuadrilateralStress::Superclass |
Definition at line 64 of file itkFEMElement2DC0LinearQuadrilateralStress.h.
itk::fem::Element2DC0LinearQuadrilateralStress::Element2DC0LinearQuadrilateralStress | ( | ) |
Default constructor only clears the internal storage
itk::fem::Element2DC0LinearQuadrilateralStress::Element2DC0LinearQuadrilateralStress | ( | 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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overridevirtual |
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< Element2DC0LinearQuadrilateral >.
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static |
Method for creation through the object factory.
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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::Element2DStress< Element2DC0LinearQuadrilateral >.