Abstract base element class. More...
#include <itkFEMElementBase.h>
Classes | |
class | Node |
Class that stores information required to define a node. More... | |
Public Types | |
enum | { InvalidDegreeOfFreedomID = 0xffffffff } |
enum | { gaussMaxOrder = 10 } |
typedef FEMPArray< Element > | ArrayType |
typedef Self | Baseclass |
typedef const Self * | ConstPointer |
typedef unsigned int | DegreeOfFreedomIDType |
typedef double | Float |
typedef vnl_matrix< Float > | MatrixType |
typedef Node::ConstPointer | NodeIDType |
typedef Self * | Pointer |
typedef Element | Self |
typedef FEMLightObject | Superclass |
typedef vnl_vector< Float > | VectorType |
typedef FEMLightObject | LoadType |
typedef LoadType::Pointer | LoadPointer |
Public Member Functions | |
virtual int | ClassID () const =0 |
virtual Baseclass::Pointer | Clone () const =0 |
virtual Float | GetElementDeformationEnergy (MatrixType &LocalSolution) const |
virtual VectorType | GetGlobalFromLocalCoordinates (const VectorType &pt) const |
virtual void | GetIntegrationPointAndWeight (unsigned int i, VectorType &pt, Float &w, unsigned int order=0) const =0 |
virtual void | GetLandmarkContributionMatrix (float eta, MatrixType &Le) const |
virtual void | GetLoadVector (LoadPointer l, VectorType &Fe) const =0 |
virtual bool | GetLocalFromGlobalCoordinates (const VectorType &globalPt, VectorType &localPt) const =0 |
virtual void | GetMassMatrix (MatrixType &Me) const |
virtual Material::ConstPointer | GetMaterial (void) const |
virtual void | GetMaterialMatrix (MatrixType &D) const =0 |
virtual NodeIDType | GetNode (unsigned int n) const =0 |
virtual const VectorType & | GetNodeCoordinates (unsigned int n) const =0 |
virtual unsigned int | GetNumberOfDegreesOfFreedom (void) const |
virtual unsigned int | GetNumberOfDegreesOfFreedomPerNode (void) const =0 |
virtual unsigned int | GetNumberOfIntegrationPoints (unsigned int order=0) const =0 |
virtual unsigned int | GetNumberOfNodes (void) const =0 |
virtual unsigned int | GetNumberOfSpatialDimensions () const =0 |
virtual void | GetStiffnessMatrix (MatrixType &Ke) const |
virtual void | GetStrainDisplacementMatrix (MatrixType &B, const MatrixType &shapeDgl) const =0 |
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 | Read (std::istream &f, void *info) |
virtual void | SetMaterial (Material::ConstPointer) |
virtual void | SetNode (unsigned int n, NodeIDType node)=0 |
virtual void | ShapeFunctionDerivatives (const VectorType &pt, MatrixType &shapeD) const =0 |
virtual void | ShapeFunctionGlobalDerivatives (const VectorType &pt, MatrixType &shapeDgl, const MatrixType *pJ=0, const MatrixType *pshapeD=0) const |
virtual VectorType | ShapeFunctions (const VectorType &pt) const =0 |
virtual void | Write (std::ostream &f) const |
DegreeOfFreedomIDType | GetDegreeOfFreedom (unsigned int local_dof) const |
Static Public Member Functions | |
static FEMLightObject::Pointer | CreateFromStream (std::istream &f, void *info) |
static void | SkipWhiteSpace (std::istream &f) |
Public Attributes | |
int | GN |
Static Public Attributes | |
static const Float | gaussPoint [gaussMaxOrder+1][gaussMaxOrder] |
static const Float | gaussWeight [gaussMaxOrder+1][gaussMaxOrder] |
static const std::string | whitespaces |
Abstract base element class.
Derive this class to create new finite element classes. All derived classes must define:
and optionally (if required):
The storage of element parameters (geometry...) can't be implemented here, since we don't know yet, how much memory each element needs. Instead each derived class should take care of the memory management (declare appropriate data members) for the element parameters and provide access to these parameters (like nodes, materials...).
Definition at line 75 of file itkFEMElementBase.h.
typedef FEMPArray<Element> itk::fem::Element::ArrayType |
Array class that holds special pointers to the Element objects
Definition at line 88 of file itkFEMElementBase.h.
typedef Self itk::fem::FEMLightObject::Baseclass [inherited] |
Store the base class typedef for easy access from derived classes. FEM_CLASS macro also expects this for the FEMOF...
Definition at line 64 of file itkFEMLightObject.h.
typedef const Self* itk::fem::Element::ConstPointer |
Const pointer or SmartPointer to an object.
Reimplemented from itk::fem::FEMLightObject.
Reimplemented in itk::fem::Element2DC0LinearLine, itk::fem::Element2DC0LinearLineStress, itk::fem::Element2DC0LinearQuadrilateral, itk::fem::Element2DC0LinearQuadrilateralMembrane, itk::fem::Element2DC0LinearQuadrilateralStrain, itk::fem::Element2DC0LinearQuadrilateralStress, itk::fem::Element2DC0LinearTriangular, itk::fem::Element2DC0LinearTriangularMembrane, itk::fem::Element2DC0LinearTriangularStrain, itk::fem::Element2DC0LinearTriangularStress, itk::fem::Element2DC0QuadraticTriangular, itk::fem::Element2DC0QuadraticTriangularStrain, itk::fem::Element2DC0QuadraticTriangularStress, itk::fem::Element2DC1Beam, itk::fem::Element3DC0LinearHexahedron, itk::fem::Element3DC0LinearHexahedronMembrane, itk::fem::Element3DC0LinearHexahedronStrain, itk::fem::Element3DC0LinearTetrahedron, itk::fem::Element3DC0LinearTetrahedronMembrane, itk::fem::Element3DC0LinearTetrahedronStrain, itk::fem::Element1DStress< Element2DC0LinearLine >, itk::fem::Element2DMembrane< Element2DC0LinearQuadrilateral >, itk::fem::Element2DMembrane< Element2DC0LinearTriangular >, itk::fem::Element2DStrain< Element2DC0QuadraticTriangular >, itk::fem::Element2DStrain< Element2DC0LinearQuadrilateral >, itk::fem::Element2DStrain< Element2DC0LinearTriangular >, itk::fem::Element2DStress< Element2DC0QuadraticTriangular >, itk::fem::Element2DStress< Element2DC0LinearQuadrilateral >, itk::fem::Element2DStress< Element2DC0LinearTriangular >, itk::fem::Element3DMembrane< Element3DC0LinearHexahedron >, itk::fem::Element3DMembrane< Element3DC0LinearTetrahedron >, itk::fem::Element3DStrain< Element3DC0LinearHexahedron >, itk::fem::Element3DStrain< Element3DC0LinearTetrahedron >, itk::fem::ElementStd< 3, 2 >, itk::fem::ElementStd< 2, 2 >, itk::fem::ElementStd< 8, 3 >, itk::fem::ElementStd< 6, 2 >, itk::fem::ElementStd< 4, 3 >, and itk::fem::ElementStd< 4, 2 >.
Definition at line 77 of file itkFEMElementBase.h.
typedef unsigned int itk::fem::Element::DegreeOfFreedomIDType |
Type that stores global ID's of degrees of freedom.
Reimplemented in itk::fem::ElementStd< 3, 2 >, itk::fem::ElementStd< 2, 2 >, itk::fem::ElementStd< 8, 3 >, itk::fem::ElementStd< 6, 2 >, itk::fem::ElementStd< 4, 3 >, and itk::fem::ElementStd< 4, 2 >.
Definition at line 118 of file itkFEMElementBase.h.
typedef double itk::fem::Element::Float |
Floating point type used in all Element classes.
Reimplemented in itk::fem::Element1DStress< Element2DC0LinearLine >, itk::fem::Element2DMembrane< Element2DC0LinearQuadrilateral >, itk::fem::Element2DMembrane< Element2DC0LinearTriangular >, itk::fem::Element2DStrain< Element2DC0QuadraticTriangular >, itk::fem::Element2DStrain< Element2DC0LinearQuadrilateral >, itk::fem::Element2DStrain< Element2DC0LinearTriangular >, itk::fem::Element2DStress< Element2DC0QuadraticTriangular >, itk::fem::Element2DStress< Element2DC0LinearQuadrilateral >, itk::fem::Element2DStress< Element2DC0LinearTriangular >, itk::fem::Element3DMembrane< Element3DC0LinearHexahedron >, itk::fem::Element3DMembrane< Element3DC0LinearTetrahedron >, itk::fem::Element3DStrain< Element3DC0LinearHexahedron >, itk::fem::Element3DStrain< Element3DC0LinearTetrahedron >, itk::fem::ElementStd< 3, 2 >, itk::fem::ElementStd< 2, 2 >, itk::fem::ElementStd< 8, 3 >, itk::fem::ElementStd< 6, 2 >, itk::fem::ElementStd< 4, 3 >, and itk::fem::ElementStd< 4, 2 >.
Definition at line 83 of file itkFEMElementBase.h.
Easy and consistent access to LoadElement and LoadElement::Pointer type. This is a pointer to FEMLightObject to avoid cyclic references between LoadElement and Element classes. As a consequence whenever you need to use a pointer to LoadElement class within the element's declaration or definition, ALWAYS use this typedef instead. When calling the GetLoadVector(...) function from outside, you should ALWAYS first convert the argument to Element::LoadPointer. See code of function Solver::AssembleF(...) for more info.
Reimplemented in itk::fem::ElementStd< 3, 2 >, itk::fem::ElementStd< 2, 2 >, itk::fem::ElementStd< 8, 3 >, itk::fem::ElementStd< 6, 2 >, itk::fem::ElementStd< 4, 3 >, and itk::fem::ElementStd< 4, 2 >.
Definition at line 112 of file itkFEMElementBase.h.
Easy and consistent access to LoadElement and LoadElement::Pointer type. This is a pointer to FEMLightObject to avoid cyclic references between LoadElement and Element classes. As a consequence whenever you need to use a pointer to LoadElement class within the element's declaration or definition, ALWAYS use this typedef instead. When calling the GetLoadVector(...) function from outside, you should ALWAYS first convert the argument to Element::LoadPointer. See code of function Solver::AssembleF(...) for more info.
Reimplemented in itk::fem::ElementStd< 3, 2 >, itk::fem::ElementStd< 2, 2 >, itk::fem::ElementStd< 8, 3 >, itk::fem::ElementStd< 6, 2 >, itk::fem::ElementStd< 4, 3 >, and itk::fem::ElementStd< 4, 2 >.
Definition at line 111 of file itkFEMElementBase.h.
typedef vnl_matrix<Float> itk::fem::Element::MatrixType |
Class used to store the element stiffness matrix
Reimplemented in itk::fem::Element1DStress< Element2DC0LinearLine >, itk::fem::Element2DMembrane< Element2DC0LinearQuadrilateral >, itk::fem::Element2DMembrane< Element2DC0LinearTriangular >, itk::fem::Element2DStrain< Element2DC0QuadraticTriangular >, itk::fem::Element2DStrain< Element2DC0LinearQuadrilateral >, itk::fem::Element2DStrain< Element2DC0LinearTriangular >, itk::fem::Element2DStress< Element2DC0QuadraticTriangular >, itk::fem::Element2DStress< Element2DC0LinearQuadrilateral >, itk::fem::Element2DStress< Element2DC0LinearTriangular >, itk::fem::Element3DMembrane< Element3DC0LinearHexahedron >, itk::fem::Element3DMembrane< Element3DC0LinearTetrahedron >, itk::fem::Element3DStrain< Element3DC0LinearHexahedron >, itk::fem::Element3DStrain< Element3DC0LinearTetrahedron >, itk::fem::ElementStd< 3, 2 >, itk::fem::ElementStd< 2, 2 >, itk::fem::ElementStd< 8, 3 >, itk::fem::ElementStd< 6, 2 >, itk::fem::ElementStd< 4, 3 >, and itk::fem::ElementStd< 4, 2 >.
Definition at line 93 of file itkFEMElementBase.h.
Type that is used to store IDs of a node. It is a pointer to Node objects.
Reimplemented in itk::fem::ElementStd< 3, 2 >, itk::fem::ElementStd< 2, 2 >, itk::fem::ElementStd< 8, 3 >, itk::fem::ElementStd< 6, 2 >, itk::fem::ElementStd< 4, 3 >, and itk::fem::ElementStd< 4, 2 >.
Definition at line 505 of file itkFEMElementBase.h.
typedef Self* itk::fem::Element::Pointer |
Pointer or SmartPointer to an object.
Reimplemented from itk::fem::FEMLightObject.
Reimplemented in itk::fem::Element2DC0LinearLine, itk::fem::Element2DC0LinearLineStress, itk::fem::Element2DC0LinearQuadrilateral, itk::fem::Element2DC0LinearQuadrilateralMembrane, itk::fem::Element2DC0LinearQuadrilateralStrain, itk::fem::Element2DC0LinearQuadrilateralStress, itk::fem::Element2DC0LinearTriangular, itk::fem::Element2DC0LinearTriangularMembrane, itk::fem::Element2DC0LinearTriangularStrain, itk::fem::Element2DC0LinearTriangularStress, itk::fem::Element2DC0QuadraticTriangular, itk::fem::Element2DC0QuadraticTriangularStrain, itk::fem::Element2DC0QuadraticTriangularStress, itk::fem::Element2DC1Beam, itk::fem::Element3DC0LinearHexahedron, itk::fem::Element3DC0LinearHexahedronMembrane, itk::fem::Element3DC0LinearHexahedronStrain, itk::fem::Element3DC0LinearTetrahedron, itk::fem::Element3DC0LinearTetrahedronMembrane, itk::fem::Element3DC0LinearTetrahedronStrain, itk::fem::Element1DStress< Element2DC0LinearLine >, itk::fem::Element2DMembrane< Element2DC0LinearQuadrilateral >, itk::fem::Element2DMembrane< Element2DC0LinearTriangular >, itk::fem::Element2DStrain< Element2DC0QuadraticTriangular >, itk::fem::Element2DStrain< Element2DC0LinearQuadrilateral >, itk::fem::Element2DStrain< Element2DC0LinearTriangular >, itk::fem::Element2DStress< Element2DC0QuadraticTriangular >, itk::fem::Element2DStress< Element2DC0LinearQuadrilateral >, itk::fem::Element2DStress< Element2DC0LinearTriangular >, itk::fem::Element3DMembrane< Element3DC0LinearHexahedron >, itk::fem::Element3DMembrane< Element3DC0LinearTetrahedron >, itk::fem::Element3DStrain< Element3DC0LinearHexahedron >, itk::fem::Element3DStrain< Element3DC0LinearTetrahedron >, itk::fem::ElementStd< 3, 2 >, itk::fem::ElementStd< 2, 2 >, itk::fem::ElementStd< 8, 3 >, itk::fem::ElementStd< 6, 2 >, itk::fem::ElementStd< 4, 3 >, and itk::fem::ElementStd< 4, 2 >.
Definition at line 77 of file itkFEMElementBase.h.
typedef Element itk::fem::Element::Self |
Standard Self typedef.
Reimplemented from itk::fem::FEMLightObject.
Reimplemented in itk::fem::Element2DC0LinearLine, itk::fem::Element2DC0LinearLineStress, itk::fem::Element2DC0LinearQuadrilateral, itk::fem::Element2DC0LinearQuadrilateralMembrane, itk::fem::Element2DC0LinearQuadrilateralStrain, itk::fem::Element2DC0LinearQuadrilateralStress, itk::fem::Element2DC0LinearTriangular, itk::fem::Element2DC0LinearTriangularMembrane, itk::fem::Element2DC0LinearTriangularStrain, itk::fem::Element2DC0LinearTriangularStress, itk::fem::Element2DC0QuadraticTriangular, itk::fem::Element2DC0QuadraticTriangularStrain, itk::fem::Element2DC0QuadraticTriangularStress, itk::fem::Element2DC1Beam, itk::fem::Element3DC0LinearHexahedron, itk::fem::Element3DC0LinearHexahedronMembrane, itk::fem::Element3DC0LinearHexahedronStrain, itk::fem::Element3DC0LinearTetrahedron, itk::fem::Element3DC0LinearTetrahedronMembrane, itk::fem::Element3DC0LinearTetrahedronStrain, itk::fem::Element1DStress< Element2DC0LinearLine >, itk::fem::Element2DMembrane< Element2DC0LinearQuadrilateral >, itk::fem::Element2DMembrane< Element2DC0LinearTriangular >, itk::fem::Element2DStrain< Element2DC0QuadraticTriangular >, itk::fem::Element2DStrain< Element2DC0LinearQuadrilateral >, itk::fem::Element2DStrain< Element2DC0LinearTriangular >, itk::fem::Element2DStress< Element2DC0QuadraticTriangular >, itk::fem::Element2DStress< Element2DC0LinearQuadrilateral >, itk::fem::Element2DStress< Element2DC0LinearTriangular >, itk::fem::Element3DMembrane< Element3DC0LinearHexahedron >, itk::fem::Element3DMembrane< Element3DC0LinearTetrahedron >, itk::fem::Element3DStrain< Element3DC0LinearHexahedron >, itk::fem::Element3DStrain< Element3DC0LinearTetrahedron >, itk::fem::ElementStd< 3, 2 >, itk::fem::ElementStd< 2, 2 >, itk::fem::ElementStd< 8, 3 >, itk::fem::ElementStd< 6, 2 >, itk::fem::ElementStd< 4, 3 >, and itk::fem::ElementStd< 4, 2 >.
Definition at line 77 of file itkFEMElementBase.h.
Standard Superclass typedef.
Reimplemented from itk::fem::FEMLightObject.
Reimplemented in itk::fem::Element2DC0LinearLine, itk::fem::Element2DC0LinearLineStress, itk::fem::Element2DC0LinearQuadrilateral, itk::fem::Element2DC0LinearQuadrilateralMembrane, itk::fem::Element2DC0LinearQuadrilateralStrain, itk::fem::Element2DC0LinearQuadrilateralStress, itk::fem::Element2DC0LinearTriangular, itk::fem::Element2DC0LinearTriangularMembrane, itk::fem::Element2DC0LinearTriangularStrain, itk::fem::Element2DC0LinearTriangularStress, itk::fem::Element2DC0QuadraticTriangular, itk::fem::Element2DC0QuadraticTriangularStrain, itk::fem::Element2DC0QuadraticTriangularStress, itk::fem::Element2DC1Beam, itk::fem::Element3DC0LinearHexahedron, itk::fem::Element3DC0LinearHexahedronMembrane, itk::fem::Element3DC0LinearHexahedronStrain, itk::fem::Element3DC0LinearTetrahedron, itk::fem::Element3DC0LinearTetrahedronMembrane, itk::fem::Element3DC0LinearTetrahedronStrain, itk::fem::Element1DStress< Element2DC0LinearLine >, itk::fem::Element2DMembrane< Element2DC0LinearQuadrilateral >, itk::fem::Element2DMembrane< Element2DC0LinearTriangular >, itk::fem::Element2DStrain< Element2DC0QuadraticTriangular >, itk::fem::Element2DStrain< Element2DC0LinearQuadrilateral >, itk::fem::Element2DStrain< Element2DC0LinearTriangular >, itk::fem::Element2DStress< Element2DC0QuadraticTriangular >, itk::fem::Element2DStress< Element2DC0LinearQuadrilateral >, itk::fem::Element2DStress< Element2DC0LinearTriangular >, itk::fem::Element3DMembrane< Element3DC0LinearHexahedron >, itk::fem::Element3DMembrane< Element3DC0LinearTetrahedron >, itk::fem::Element3DStrain< Element3DC0LinearHexahedron >, itk::fem::Element3DStrain< Element3DC0LinearTetrahedron >, itk::fem::ElementStd< 3, 2 >, itk::fem::ElementStd< 2, 2 >, itk::fem::ElementStd< 8, 3 >, itk::fem::ElementStd< 6, 2 >, itk::fem::ElementStd< 4, 3 >, and itk::fem::ElementStd< 4, 2 >.
Definition at line 77 of file itkFEMElementBase.h.
typedef vnl_vector<Float> itk::fem::Element::VectorType |
Class to store the element load vector
Reimplemented in itk::fem::Element1DStress< Element2DC0LinearLine >, itk::fem::Element2DMembrane< Element2DC0LinearQuadrilateral >, itk::fem::Element2DMembrane< Element2DC0LinearTriangular >, itk::fem::Element2DStrain< Element2DC0QuadraticTriangular >, itk::fem::Element2DStrain< Element2DC0LinearQuadrilateral >, itk::fem::Element2DStrain< Element2DC0LinearTriangular >, itk::fem::Element2DStress< Element2DC0QuadraticTriangular >, itk::fem::Element2DStress< Element2DC0LinearQuadrilateral >, itk::fem::Element2DStress< Element2DC0LinearTriangular >, itk::fem::Element3DMembrane< Element3DC0LinearHexahedron >, itk::fem::Element3DMembrane< Element3DC0LinearTetrahedron >, itk::fem::Element3DStrain< Element3DC0LinearHexahedron >, itk::fem::Element3DStrain< Element3DC0LinearTetrahedron >, itk::fem::ElementStd< 3, 2 >, itk::fem::ElementStd< 2, 2 >, itk::fem::ElementStd< 8, 3 >, itk::fem::ElementStd< 6, 2 >, itk::fem::ElementStd< 4, 3 >, and itk::fem::ElementStd< 4, 2 >.
Definition at line 98 of file itkFEMElementBase.h.
anonymous enum |
Constant that represents an invalid DegreeOfFreedomID object. If a degree of freedom is assigned this value, this means that that no specific value was (yet) assigned to this DOF.
Definition at line 125 of file itkFEMElementBase.h.
anonymous enum |
Maximum supported order of 1D Gauss-Legendre integration. Integration points are defined for orders from 1 to gaussMaxOrder. Number of integration points is equal to the order of integration rule.
Definition at line 473 of file itkFEMElementBase.h.
virtual int itk::fem::FEMLightObject::ClassID | ( | ) | const [pure virtual, inherited] |
Returns the class ID of the object. This function is used to determine the class of the object without having to use the dynamic_cast operator.
Implemented in itk::fem::FiniteDifferenceFunctionLoad< TMoving, TFixed >, itk::fem::Element2DC0LinearLineStress, itk::fem::Element2DC0LinearQuadrilateralMembrane, itk::fem::Element2DC0LinearQuadrilateralStrain, itk::fem::Element2DC0LinearQuadrilateralStress, itk::fem::Element2DC0LinearTriangularMembrane, itk::fem::Element2DC0LinearTriangularStrain, itk::fem::Element2DC0LinearTriangularStress, itk::fem::Element2DC0QuadraticTriangularStrain, itk::fem::Element2DC0QuadraticTriangularStress, itk::fem::Element2DC1Beam, itk::fem::Element3DC0LinearHexahedronMembrane, itk::fem::Element3DC0LinearHexahedronStrain, itk::fem::Element3DC0LinearTetrahedronMembrane, itk::fem::Element3DC0LinearTetrahedronStrain, itk::fem::Element::Node, itk::fem::ImageMetricLoad< TMoving, TFixed >, itk::fem::LoadBC, itk::fem::LoadBCMFC, itk::fem::LoadEdge, itk::fem::LoadElement, itk::fem::LoadGravConst, itk::fem::LoadLandmark, itk::fem::LoadNode, itk::fem::LoadPoint, itk::fem::LoadTest< TClass >, and itk::fem::MaterialLinearElasticity.
virtual Baseclass::Pointer itk::fem::FEMLightObject::Clone | ( | ) | const [pure virtual, inherited] |
Duplicates the currect object. This function must be implemented by every derived class to create an exact copy of an object. The function returns a pointer to a base class.
Implemented in itk::fem::FiniteDifferenceFunctionLoad< TMoving, TFixed >, itk::fem::Element2DC0LinearLineStress, itk::fem::Element2DC0LinearQuadrilateralMembrane, itk::fem::Element2DC0LinearQuadrilateralStrain, itk::fem::Element2DC0LinearQuadrilateralStress, itk::fem::Element2DC0LinearTriangularMembrane, itk::fem::Element2DC0LinearTriangularStrain, itk::fem::Element2DC0LinearTriangularStress, itk::fem::Element2DC0QuadraticTriangularStrain, itk::fem::Element2DC0QuadraticTriangularStress, itk::fem::Element2DC1Beam, itk::fem::Element3DC0LinearHexahedronMembrane, itk::fem::Element3DC0LinearHexahedronStrain, itk::fem::Element3DC0LinearTetrahedronMembrane, itk::fem::Element3DC0LinearTetrahedronStrain, itk::fem::Element::Node, itk::fem::ImageMetricLoad< TMoving, TFixed >, itk::fem::LoadBC, itk::fem::LoadBCMFC, itk::fem::LoadEdge, itk::fem::LoadElement, itk::fem::LoadGravConst, itk::fem::LoadLandmark, itk::fem::LoadNode, itk::fem::LoadPoint, itk::fem::LoadTest< TClass >, and itk::fem::MaterialLinearElasticity.
static FEMLightObject::Pointer itk::fem::FEMLightObject::CreateFromStream | ( | std::istream & | f, | |
void * | info | |||
) | [static, inherited] |
Read object of any derived type from stream.
This static function creates an object of a class, which is derived from FEMLightObject. The class of object is first determined from the stream, then the object of that class is constructed using the FEMObjectFactory. Finally the data for this object is read from the stream, by calling the Read() member function.
DegreeOfFreedomIDType itk::fem::Element::GetDegreeOfFreedom | ( | unsigned int | local_dof | ) | const [inline] |
Convenient way to access IDs of degrees of freedom that are stored in node objects.
local_dof | Local number of degree of freedom within an element. |
Definition at line 389 of file itkFEMElementBase.h.
References itk::fem::Element::Node::GetDegreeOfFreedom(), GetNode(), GetNumberOfDegreesOfFreedom(), and GetNumberOfDegreesOfFreedomPerNode().
virtual Float itk::fem::Element::GetElementDeformationEnergy | ( | MatrixType & | LocalSolution | ) | const [virtual] |
Compute the physical energy, U, of the deformation (e.g. stress / strain ).
T U = u Ke u
The matrix LocalSolution contains the solution to use in the energy computation. Usually, this is the solution at the nodes.
virtual VectorType itk::fem::Element::GetGlobalFromLocalCoordinates | ( | const VectorType & | pt | ) | const [virtual] |
Transforms the given local element coordinates into global.
pt | Point in local element coordinates. |
virtual void itk::fem::Element::GetIntegrationPointAndWeight | ( | unsigned int | i, | |
VectorType & | pt, | |||
Float & | w, | |||
unsigned int | order = 0 | |||
) | const [pure virtual] |
Methods related to numeric integration Computes the vector representing the i-th integration point in local element coordinates for a Gauss-Legendre numerical integration over the element domain. It also computes the weight at this integration point.
Optionally you can also specify the order of integration. If order is not specified, it defaults to 0, which means that the derived element should use the optimal integration order specific for that element.
i | Integration point number 0<=i<GetNumberOfIntegrationPoints() | |
pt | Reference to object of class VectorType that will hold the integration point. | |
w | Reference to Float variable that will hold the weight. | |
order | Order of integration. |
Implemented in itk::fem::Element2DC0LinearLine, itk::fem::Element2DC0LinearQuadrilateral, itk::fem::Element2DC0QuadraticTriangular, itk::fem::Element2DC1Beam, itk::fem::Element3DC0LinearHexahedron, and itk::fem::Element3DC0LinearTetrahedron.
virtual void itk::fem::Element::GetLandmarkContributionMatrix | ( | float | eta, | |
MatrixType & | Le | |||
) | const [virtual] |
Compute and return landmark contribution to element stiffness matrix (Le) in global coordinate system.
b T int (1/eta)^2 N(x) N(x) dx a
where (eta ) is the landmark weight. Implementation is similar to GetMassMatrix.
virtual void itk::fem::Element::GetLoadVector | ( | LoadPointer | l, | |
VectorType & | Fe | |||
) | const [pure virtual] |
Compute and return the element load vector for a given external load. The class of load object determines the type of load acting on the elemnent. Basically this is the contribution of this element on the right side of the master matrix equation, due to the specified load. Returned vector includes only nodal forces that correspond to the given Load object.
Visitor design pattern is used in the loads implementation. This function only selects and calls the proper function based on the given class of load object. The code that performs the actual conversion to the corresponding nodal loads is defined elswhere.
For example on how to define specific element load, see funtion LoadImplementationPoint_Bar2D.
l | Pointer to a load object. | |
Fe | Reference to vector object that will store nodal forces. |
virtual bool itk::fem::Element::GetLocalFromGlobalCoordinates | ( | const VectorType & | globalPt, | |
VectorType & | localPt | |||
) | const [pure virtual] |
Transforms the given global element coordinates into local. Returns false if the point is outside.
globalPt | Reference to vector containing a point in global (world) coordinates. | |
localPt | Reference to the vector that will store the local coordinate. |
Implemented in itk::fem::Element2DC0LinearLine, itk::fem::Element2DC0LinearQuadrilateral, itk::fem::Element2DC0LinearTriangular, itk::fem::Element2DC0QuadraticTriangular, itk::fem::Element2DC1Beam, itk::fem::Element3DC0LinearHexahedron, and itk::fem::Element3DC0LinearTetrahedron.
virtual void itk::fem::Element::GetMassMatrix | ( | MatrixType & | Me | ) | const [virtual] |
Compute and return element mass matrix (Me) in global coordinate system.
b T int N(x) (rho c) N(x) dx a
where (rho c) is constant (element density), which is here assumed to be equal to one. If this is not the case, this function must be overriden in a derived class. Implementation is similar to GetStiffnessMatrix.
Reimplemented in itk::fem::Element2DC0LinearLineStress, itk::fem::Element2DC1Beam, itk::fem::Element2DMembrane< Element2DC0LinearQuadrilateral >, itk::fem::Element2DMembrane< Element2DC0LinearTriangular >, itk::fem::Element2DStrain< Element2DC0QuadraticTriangular >, itk::fem::Element2DStrain< Element2DC0LinearQuadrilateral >, itk::fem::Element2DStrain< Element2DC0LinearTriangular >, itk::fem::Element2DStress< Element2DC0QuadraticTriangular >, itk::fem::Element2DStress< Element2DC0LinearQuadrilateral >, itk::fem::Element2DStress< Element2DC0LinearTriangular >, itk::fem::Element3DMembrane< Element3DC0LinearHexahedron >, and itk::fem::Element3DMembrane< Element3DC0LinearTetrahedron >.
virtual Material::ConstPointer itk::fem::Element::GetMaterial | ( | void | ) | const [inline, virtual] |
Return 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.
Reimplemented in itk::fem::Element2DC1Beam, itk::fem::Element1DStress< Element2DC0LinearLine >, itk::fem::Element2DMembrane< Element2DC0LinearQuadrilateral >, itk::fem::Element2DMembrane< Element2DC0LinearTriangular >, itk::fem::Element2DStrain< Element2DC0QuadraticTriangular >, itk::fem::Element2DStrain< Element2DC0LinearQuadrilateral >, itk::fem::Element2DStrain< Element2DC0LinearTriangular >, itk::fem::Element2DStress< Element2DC0QuadraticTriangular >, itk::fem::Element2DStress< Element2DC0LinearQuadrilateral >, itk::fem::Element2DStress< Element2DC0LinearTriangular >, itk::fem::Element3DMembrane< Element3DC0LinearHexahedron >, itk::fem::Element3DMembrane< Element3DC0LinearTetrahedron >, itk::fem::Element3DStrain< Element3DC0LinearHexahedron >, and itk::fem::Element3DStrain< Element3DC0LinearTetrahedron >.
Definition at line 412 of file itkFEMElementBase.h.
virtual void itk::fem::Element::GetMaterialMatrix | ( | MatrixType & | D | ) | const [pure virtual] |
Compute the element material matrix.
D | Reference to a matrix object |
Implemented in itk::fem::Element2DC1Beam, itk::fem::Element1DStress< Element2DC0LinearLine >, itk::fem::Element2DMembrane< Element2DC0LinearQuadrilateral >, itk::fem::Element2DMembrane< Element2DC0LinearTriangular >, itk::fem::Element2DStrain< Element2DC0QuadraticTriangular >, itk::fem::Element2DStrain< Element2DC0LinearQuadrilateral >, itk::fem::Element2DStrain< Element2DC0LinearTriangular >, itk::fem::Element2DStress< Element2DC0QuadraticTriangular >, itk::fem::Element2DStress< Element2DC0LinearQuadrilateral >, itk::fem::Element2DStress< Element2DC0LinearTriangular >, itk::fem::Element3DMembrane< Element3DC0LinearHexahedron >, itk::fem::Element3DMembrane< Element3DC0LinearTetrahedron >, itk::fem::Element3DStrain< Element3DC0LinearHexahedron >, and itk::fem::Element3DStrain< Element3DC0LinearTetrahedron >.
virtual NodeIDType itk::fem::Element::GetNode | ( | unsigned int | n | ) | const [pure virtual] |
Returns the ID (pointer) of n-th node in an element.
Implemented in itk::fem::ElementStd< 3, 2 >, itk::fem::ElementStd< 2, 2 >, itk::fem::ElementStd< 8, 3 >, itk::fem::ElementStd< 6, 2 >, itk::fem::ElementStd< 4, 3 >, and itk::fem::ElementStd< 4, 2 >.
Referenced by GetDegreeOfFreedom().
virtual const VectorType& itk::fem::Element::GetNodeCoordinates | ( | unsigned int | n | ) | const [pure virtual] |
Return a vector of global coordinates of n-th node in an element.
n | Local number of node. Must be 0 <= n < this->GetNumberOfNodes(). |
Implemented in itk::fem::ElementStd< 3, 2 >, itk::fem::ElementStd< 2, 2 >, itk::fem::ElementStd< 8, 3 >, itk::fem::ElementStd< 6, 2 >, itk::fem::ElementStd< 4, 3 >, and itk::fem::ElementStd< 4, 2 >.
virtual unsigned int itk::fem::Element::GetNumberOfDegreesOfFreedom | ( | void | ) | const [inline, virtual] |
Return the total number of degrees of freedom defined in a derived element class. By default this is equal to number of points in a cell multiplied by number of degrees of freedom at each point.
Definition at line 650 of file itkFEMElementBase.h.
References GetNumberOfDegreesOfFreedomPerNode(), and GetNumberOfNodes().
Referenced by GetDegreeOfFreedom().
virtual unsigned int itk::fem::Element::GetNumberOfDegreesOfFreedomPerNode | ( | void | ) | const [pure virtual] |
Return the number of degrees of freedom at each node. This is also equal to number of unknowns that we want to solve for at each point within an element.
Implemented in itk::fem::Element2DC1Beam, itk::fem::Element1DStress< Element2DC0LinearLine >, itk::fem::Element2DMembrane< Element2DC0LinearQuadrilateral >, itk::fem::Element2DMembrane< Element2DC0LinearTriangular >, itk::fem::Element2DStrain< Element2DC0QuadraticTriangular >, itk::fem::Element2DStrain< Element2DC0LinearQuadrilateral >, itk::fem::Element2DStrain< Element2DC0LinearTriangular >, itk::fem::Element2DStress< Element2DC0QuadraticTriangular >, itk::fem::Element2DStress< Element2DC0LinearQuadrilateral >, itk::fem::Element2DStress< Element2DC0LinearTriangular >, itk::fem::Element3DMembrane< Element3DC0LinearHexahedron >, itk::fem::Element3DMembrane< Element3DC0LinearTetrahedron >, itk::fem::Element3DStrain< Element3DC0LinearHexahedron >, and itk::fem::Element3DStrain< Element3DC0LinearTetrahedron >.
Referenced by GetDegreeOfFreedom(), and GetNumberOfDegreesOfFreedom().
virtual unsigned int itk::fem::Element::GetNumberOfIntegrationPoints | ( | unsigned int | order = 0 |
) | const [pure virtual] |
Returns total number of integration points, for given order of Gauss-Legendre numerical integration rule.
Implemented in itk::fem::Element2DC0LinearLine, itk::fem::Element2DC0LinearQuadrilateral, itk::fem::Element2DC0LinearTriangular, itk::fem::Element2DC0QuadraticTriangular, itk::fem::Element2DC1Beam, itk::fem::Element3DC0LinearHexahedron, and itk::fem::Element3DC0LinearTetrahedron.
virtual unsigned int itk::fem::Element::GetNumberOfNodes | ( | void | ) | const [pure virtual] |
Return the total number of nodes in an elememnt.
Implemented in itk::fem::ElementStd< 3, 2 >, itk::fem::ElementStd< 2, 2 >, itk::fem::ElementStd< 8, 3 >, itk::fem::ElementStd< 6, 2 >, itk::fem::ElementStd< 4, 3 >, and itk::fem::ElementStd< 4, 2 >.
Referenced by GetNumberOfDegreesOfFreedom().
virtual unsigned int itk::fem::Element::GetNumberOfSpatialDimensions | ( | ) | const [pure virtual] |
Returns the number of dimensions of space in which the element is defined. e.g. 2 for 2D elements, 3 for 3D... This is also equal to the size vector containing nodal coordinates.
Implemented in itk::fem::ElementStd< 3, 2 >, itk::fem::ElementStd< 2, 2 >, itk::fem::ElementStd< 8, 3 >, itk::fem::ElementStd< 6, 2 >, itk::fem::ElementStd< 4, 3 >, and itk::fem::ElementStd< 4, 2 >.
virtual void itk::fem::Element::GetStiffnessMatrix | ( | MatrixType & | Ke | ) | const [virtual] |
Compute and return element stiffnes matrix (Ke) in global coordinate system. The base class provides a general implementation which only computes
b T int B(x) D B(x) dx a
using the Gaussian numeric integration method. The function calls GetIntegrationPointAndWeight() / GetNumberOfIntegrationPoints() to obtain the integration points. It also calls the GetStrainDisplacementMatrix() and GetMaterialMatrix() member functions.
Ke | Reference to the resulting stiffnes matrix. |
Reimplemented in itk::fem::Element2DC1Beam, and itk::fem::Element1DStress< Element2DC0LinearLine >.
virtual void itk::fem::Element::GetStrainDisplacementMatrix | ( | MatrixType & | B, | |
const MatrixType & | shapeDgl | |||
) | const [pure virtual] |
Compute the strain displacement matrix at local point.
B | Reference to a matrix object that will contain the result | |
shapeDgl | Matrix that contains derivatives of shape functions w.r.t. global coordinates. |
Implemented in itk::fem::Element2DC1Beam, itk::fem::Element1DStress< Element2DC0LinearLine >, itk::fem::Element2DMembrane< Element2DC0LinearQuadrilateral >, itk::fem::Element2DMembrane< Element2DC0LinearTriangular >, itk::fem::Element2DStrain< Element2DC0QuadraticTriangular >, itk::fem::Element2DStrain< Element2DC0LinearQuadrilateral >, itk::fem::Element2DStrain< Element2DC0LinearTriangular >, itk::fem::Element2DStress< Element2DC0QuadraticTriangular >, itk::fem::Element2DStress< Element2DC0LinearQuadrilateral >, itk::fem::Element2DStress< Element2DC0LinearTriangular >, itk::fem::Element3DMembrane< Element3DC0LinearHexahedron >, itk::fem::Element3DMembrane< Element3DC0LinearTetrahedron >, itk::fem::Element3DStrain< Element3DC0LinearHexahedron >, and itk::fem::Element3DStrain< Element3DC0LinearTetrahedron >.
virtual VectorType itk::fem::Element::GetStrainsAtPoint | ( | const VectorType & | pt, | |
const Solution & | sol, | |||
unsigned int | index | |||
) | const [virtual] |
virtual VectorType itk::fem::Element::GetStressesAtPoint | ( | const VectorType & | pt, | |
const VectorType & | e, | |||
const Solution & | sol, | |||
unsigned int | index | |||
) | const [virtual] |
virtual VectorType itk::fem::Element::InterpolateSolution | ( | const VectorType & | pt, | |
const Solution & | sol, | |||
unsigned int | solutionIndex = 0 | |||
) | const [virtual] |
Return interpolated value of all unknown functions at given local point.
pt | Point in local element coordinates. | |
sol | Reference to the master solution object. This object is created by the Solver object when the whole FEM problem is solved and contains the values of unknown functions at nodes (degrees of freedom). | |
solutionIndex | We allow more than one solution vector to be stored - this selects which to use in interpolation. |
virtual Float itk::fem::Element::InterpolateSolutionN | ( | const VectorType & | pt, | |
const Solution & | sol, | |||
unsigned int | f, | |||
unsigned int | solutionIndex = 0 | |||
) | const [virtual] |
Return interpolated value of f-th unknown function at given local point.
pt | Point in local element coordinates. | |
sol | Reference to the master solution object. This object is created by the Solver object when the whole FEM problem is solved and contains the values of unknown functions at nodes (degrees of freedom). | |
f | Number of unknown function to interpolate. Must be 0 <= f < GetNumberOfDegreesOfFreedomPerNode(). | |
solutionIndex | We allow more than one solution vector to be stored - this selects which to use in interpolation. |
virtual void itk::fem::Element::Jacobian | ( | const VectorType & | pt, | |
MatrixType & | J, | |||
const MatrixType * | pshapeD = 0 | |||
) | const [virtual] |
Compute the Jacobian matrix of the transformation from local to global coordinates at a given local point.
A column in this matrix corresponds to a global coordinate, while a row corresponds to different local coordinates. E.g. element at row 2, col 3 contains derivative of the third global coordinate with respect to local coordinate number 2.
In order to compute the Jacobian, we normally need the shape function derivatives. If they are known, you should pass a pointer to an object of MatrixType that contains the shape function derivatives. If they are not known, pass null pointer and they will be computed automatically.
pt | Point in local coordinates | |
J | referece to matrix object, which will contain the jacobian | |
pshapeD | A pointer to derivatives of shape functions at point pt. If this pointer is 0, derivatives will be computed as necessary. |
Reimplemented in itk::fem::Element2DC0LinearLine.
virtual Float itk::fem::Element::JacobianDeterminant | ( | const VectorType & | pt, | |
const MatrixType * | pJ = 0 | |||
) | const [virtual] |
Compute the determinant of the Jacobian matrix at a given point with respect to the local coordinate system.
pt | Point in local element coordinates. | |
pJ | Optional pointer to Jacobian matrix computed at point pt. If this is set to 0, the Jacobian will be computed as necessary. |
Reimplemented in itk::fem::Element2DC0LinearTriangular, itk::fem::Element2DC0QuadraticTriangular, and itk::fem::Element2DC1Beam.
virtual void itk::fem::Element::JacobianInverse | ( | const VectorType & | pt, | |
MatrixType & | invJ, | |||
const MatrixType * | pJ = 0 | |||
) | const [virtual] |
Compute the inverse of the Jacobian matrix at a given point with respect to the local coordinate system.
pt | Point in local element coordinates. | |
invJ | Reference to the object of MatrixType that will store the computed inverse if Jacobian. | |
pJ | Optional pointer to Jacobian matrix computed at point pt. If this is set to 0, the Jacobian will be computed as necessary. |
Reimplemented in itk::fem::Element2DC0LinearTriangular, and itk::fem::Element2DC0QuadraticTriangular.
virtual void itk::fem::FEMLightObject::Read | ( | std::istream & | f, | |
void * | info | |||
) | [virtual, inherited] |
Read an object data from input stream. Call this member to initialize the data members in the current object by reading data from provided input stream. Derived classes should first call the the parent's read function, to initialize the data from parent. Note that you must manually create the object of desired type using the FEMObjectFactory before you can call read function (this is pretty obvious). In this class only the global number is read from file. Derived classes may require some additional info in order to perform the reading. Pack this info in an object and pass a pointer to it in the info parameter. If you need runtime typechecking, use a polymorphic class and dynamic_cast operator inside the implementation of Read.
Reimplemented in itk::fem::Element2DC1Beam, itk::fem::Element::Node, itk::fem::LoadBC, itk::fem::LoadBCMFC, itk::fem::LoadEdge, itk::fem::LoadElement, itk::fem::LoadGravConst, itk::fem::LoadLandmark, itk::fem::LoadNode, itk::fem::LoadTest< TClass >, itk::fem::MaterialLinearElasticity, itk::fem::Element1DStress< Element2DC0LinearLine >, itk::fem::Element2DMembrane< Element2DC0LinearQuadrilateral >, itk::fem::Element2DMembrane< Element2DC0LinearTriangular >, itk::fem::Element2DStrain< Element2DC0QuadraticTriangular >, itk::fem::Element2DStrain< Element2DC0LinearQuadrilateral >, itk::fem::Element2DStrain< Element2DC0LinearTriangular >, itk::fem::Element2DStress< Element2DC0QuadraticTriangular >, itk::fem::Element2DStress< Element2DC0LinearQuadrilateral >, itk::fem::Element2DStress< Element2DC0LinearTriangular >, itk::fem::Element3DMembrane< Element3DC0LinearHexahedron >, itk::fem::Element3DMembrane< Element3DC0LinearTetrahedron >, itk::fem::Element3DStrain< Element3DC0LinearHexahedron >, itk::fem::Element3DStrain< Element3DC0LinearTetrahedron >, itk::fem::ElementStd< 3, 2 >, itk::fem::ElementStd< 2, 2 >, itk::fem::ElementStd< 8, 3 >, itk::fem::ElementStd< 6, 2 >, itk::fem::ElementStd< 4, 3 >, and itk::fem::ElementStd< 4, 2 >.
virtual void itk::fem::Element::SetMaterial | ( | Material::ConstPointer | ) | [inline, virtual] |
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.
Reimplemented in itk::fem::Element2DC1Beam, itk::fem::Element1DStress< Element2DC0LinearLine >, itk::fem::Element2DMembrane< Element2DC0LinearQuadrilateral >, itk::fem::Element2DMembrane< Element2DC0LinearTriangular >, itk::fem::Element2DStrain< Element2DC0QuadraticTriangular >, itk::fem::Element2DStrain< Element2DC0LinearQuadrilateral >, itk::fem::Element2DStrain< Element2DC0LinearTriangular >, itk::fem::Element2DStress< Element2DC0QuadraticTriangular >, itk::fem::Element2DStress< Element2DC0LinearQuadrilateral >, itk::fem::Element2DStress< Element2DC0LinearTriangular >, itk::fem::Element3DMembrane< Element3DC0LinearHexahedron >, itk::fem::Element3DMembrane< Element3DC0LinearTetrahedron >, itk::fem::Element3DStrain< Element3DC0LinearHexahedron >, and itk::fem::Element3DStrain< Element3DC0LinearTetrahedron >.
Definition at line 422 of file itkFEMElementBase.h.
virtual void itk::fem::Element::SetNode | ( | unsigned int | n, | |
NodeIDType | node | |||
) | [pure virtual] |
Sets the pointe of n-th node in an element to node.
Implemented in itk::fem::ElementStd< 3, 2 >, itk::fem::ElementStd< 2, 2 >, itk::fem::ElementStd< 8, 3 >, itk::fem::ElementStd< 6, 2 >, itk::fem::ElementStd< 4, 3 >, and itk::fem::ElementStd< 4, 2 >.
virtual void itk::fem::Element::ShapeFunctionDerivatives | ( | const VectorType & | pt, | |
MatrixType & | shapeD | |||
) | const [pure virtual] |
Compute the matrix of values of the shape functions derivatives with respect to local coordinates of this element at a given point.
A column in this matrix corresponds to a specific shape function, while a row corresponds to different local coordinates. E.g. element at row 2, col 3 contains derivative of shape function number 3 with respect to local coordinate number 2.
pt | Point in local element coordinates. | |
shapeD | Reference to a matrix object, which will be filled with values of shape function derivatives. |
Implemented in itk::fem::Element2DC0LinearLine, itk::fem::Element2DC0LinearQuadrilateral, itk::fem::Element2DC0LinearTriangular, itk::fem::Element2DC0QuadraticTriangular, itk::fem::Element2DC1Beam, itk::fem::Element3DC0LinearHexahedron, and itk::fem::Element3DC0LinearTetrahedron.
virtual void itk::fem::Element::ShapeFunctionGlobalDerivatives | ( | const VectorType & | pt, | |
MatrixType & | shapeDgl, | |||
const MatrixType * | pJ = 0 , |
|||
const MatrixType * | pshapeD = 0 | |||
) | const [virtual] |
Compute matrix of shape function derivatives with respect to global coordinates.
A column in this matrix corresponds to a specific shape function, while a row corresponds to different global coordinates.
pt | Point in local element coordinates. | |
shapeDgl | Reference to a matrix object, which will be filled with values of shape function derivatives w.r.t. global (world) element coordinates. | |
pJ | Optional pointer to Jacobian matrix computed at point pt. If this is set to 0, the Jacobian will be computed as necessary. | |
pshapeD | A pointer to derivatives of shape functions at point pt. If this pointer is 0, derivatives will be computed as necessary. |
virtual VectorType itk::fem::Element::ShapeFunctions | ( | const VectorType & | pt | ) | const [pure virtual] |
Returns a vector containing the values of all shape functions that define the geometry of a finite element at a given local point within an element.
pt | Point in local element coordinates. |
Implemented in itk::fem::Element2DC0LinearLine, itk::fem::Element2DC0LinearQuadrilateral, itk::fem::Element2DC0LinearTriangular, itk::fem::Element2DC0QuadraticTriangular, itk::fem::Element2DC1Beam, itk::fem::Element3DC0LinearHexahedron, and itk::fem::Element3DC0LinearTetrahedron.
static void itk::fem::FEMLightObject::SkipWhiteSpace | ( | std::istream & | f | ) | [static, inherited] |
Helper function that skips all the whitespace and comments in an input stream.
virtual void itk::fem::FEMLightObject::Write | ( | std::ostream & | f | ) | const [virtual, inherited] |
Write an object to the output stream. Call this member to write the data members in the current object to the output stream. Here we also need to know which derived class we actually are, so that we can write the class name. The class name is obtained by calling the virtual ClassID() member function and passing the result to the FEMObjectFactory.
Implementations of Write member funtion in derived classes should first call the parent's implementation of Write and finaly write whatever they need.
Reimplemented in itk::fem::Element2DC1Beam, itk::fem::Element::Node, itk::fem::LoadBC, itk::fem::LoadBCMFC, itk::fem::LoadEdge, itk::fem::LoadElement, itk::fem::LoadGravConst, itk::fem::LoadLandmark, itk::fem::LoadNode, itk::fem::LoadTest< TClass >, itk::fem::MaterialLinearElasticity, itk::fem::Element1DStress< Element2DC0LinearLine >, itk::fem::Element2DMembrane< Element2DC0LinearQuadrilateral >, itk::fem::Element2DMembrane< Element2DC0LinearTriangular >, itk::fem::Element2DStrain< Element2DC0QuadraticTriangular >, itk::fem::Element2DStrain< Element2DC0LinearQuadrilateral >, itk::fem::Element2DStrain< Element2DC0LinearTriangular >, itk::fem::Element2DStress< Element2DC0QuadraticTriangular >, itk::fem::Element2DStress< Element2DC0LinearQuadrilateral >, itk::fem::Element2DStress< Element2DC0LinearTriangular >, itk::fem::Element3DMembrane< Element3DC0LinearHexahedron >, itk::fem::Element3DMembrane< Element3DC0LinearTetrahedron >, itk::fem::Element3DStrain< Element3DC0LinearHexahedron >, itk::fem::Element3DStrain< Element3DC0LinearTetrahedron >, itk::fem::ElementStd< 3, 2 >, itk::fem::ElementStd< 2, 2 >, itk::fem::ElementStd< 8, 3 >, itk::fem::ElementStd< 6, 2 >, itk::fem::ElementStd< 4, 3 >, and itk::fem::ElementStd< 4, 2 >.
const Float itk::fem::Element::gaussPoint[gaussMaxOrder+1][gaussMaxOrder] [static] |
Points for 1D Gauss-Legendre integration from -1 to 1. First index is order of integration, second index is the number of integration point.
Example: gaussPoint[4][2] returns third point of the 4th order integration rule. Subarray gaussPoint[0][...] does not provide useful information. It is there only to keep order index correct.
Definition at line 486 of file itkFEMElementBase.h.
const Float itk::fem::Element::gaussWeight[gaussMaxOrder+1][gaussMaxOrder] [static] |
Weights for Gauss-Legendre integration.
Definition at line 493 of file itkFEMElementBase.h.
int itk::fem::FEMLightObject::GN [inherited] |
Global number of an object (ID of an object) In general the ID's are required to be unique only within a specific type of derived classes (Elements, Nodes, ...) If the GN is not required, it can be ignored. (normally you need the GN when writing or reading objects to/from stream.
Definition at line 165 of file itkFEMLightObject.h.
Referenced by itk::fem::FEMLightObject::FEMLightObject().
const std::string itk::fem::FEMLightObject::whitespaces [static, inherited] |
Const string of all whitespace characters. This string is used by SkipWhiteSpace function.
Definition at line 135 of file itkFEMLightObject.h.