Main Page   Groups   Namespace List   Class Hierarchy   Alphabetical List   Compound List   File List   Namespace Members   Compound Members   File Members   Concepts
itk::fem::Element2DC0QuadraticTriangularStress

itk::fem::Element2DC0QuadraticTriangularStress Class Reference

#include <itkFEMElement2DC0QuadraticTriangularStress.h>

Inheritance diagram for itk::fem::Element2DC0QuadraticTriangularStress:

Inheritance graph
[legend]
Collaboration diagram for itk::fem::Element2DC0QuadraticTriangularStress:

Collaboration graph
[legend]
List of all members.

Detailed Description

3-noded finite element class in 2D space for linear elasticity problem.

This element is combined from Element2DC0LinearTriangular and Element2DStress.

Definition at line 36 of file itkFEMElement2DC0QuadraticTriangularStress.h.

Public Types

enum  { DefaultIntegrationOrder = 2 }
enum  { InvalidDegreeOfFreedomID = 0xffffffff }
enum  { gaussMaxOrder = 10 }
typedef FEMPArray< Element > ArrayType
typedef Self Baseclass
typedef const Self * ConstPointer
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 Self * Pointer
typedef Element2DC0QuadraticTriangularStress Self
typedef Element2DStress< Element2DC0QuadraticTriangular > Superclass
typedef Superclass::VectorType VectorType

Public Member Functions

virtual int ClassID () const
virtual Baseclass::Pointer Clone () const
 Element2DC0QuadraticTriangularStress (NodeIDType n1_, NodeIDType n2_, NodeIDType n3_, NodeIDType n4_, NodeIDType n5_, NodeIDType n6_, Material::ConstPointer p_)
 Element2DC0QuadraticTriangularStress ()
 Element2DStress ()
 ElementStd ()
*Convenient way to access
IDs of degrees of freedom
*that are stored in node objects
**param local_dof Local number
of degree of freedom within
an element *DegreeOfFreedomIDType 		GetDegreeOfFreedom (unsigned int local_dof) const
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) const
virtual void GetLandmarkContributionMatrix (float eta, MatrixType &Le) const
virtual void GetLoadVector (LoadPointer l, VectorType &Fe) const =0
*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
virtual bool GetLocalFromGlobalCoordinates (const VectorType &, VectorType &) const
void GetMassMatrix (MatrixType &Me) const
virtual Material::ConstPointer GetMaterial (void) const
virtual void GetMaterialMatrix (MatrixType &D) const
virtual NodeIDType GetNode (unsigned int n) const
virtual const VectorType & GetNodeCoordinates (unsigned int n) const
virtual unsigned int GetNumberOfDegreesOfFreedom (void) const
virtual unsigned int GetNumberOfDegreesOfFreedomPerNode (void) const
virtual unsigned int GetNumberOfIntegrationPoints (unsigned int order) const
virtual unsigned int GetNumberOfNodes (void) const
virtual unsigned int GetNumberOfSpatialDimensions () const
virtual void GetStiffnessMatrix (MatrixType &Ke) const
virtual void GetStrainDisplacementMatrix (MatrixType &B, const MatrixType &shapeDgl) 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
 HANDLE_ELEMENT_LOADS ()
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 &, void *info)
virtual void SetMaterial (Material::ConstPointer mat_)
virtual void SetNode (unsigned int n, NodeIDType node)
virtual void ShapeFunctionDerivatives (const VectorType &pt, MatrixType &shapeD) const
virtual void ShapeFunctionGlobalDerivatives (const VectorType &pt, MatrixType &shapeDgl, const MatrixType *pJ=0, const MatrixType *pshapeD=0) const
virtual VectorType ShapeFunctions (const VectorType &pt) const
*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 you should
*ALWAYS first convert the
argument to Element::LoadPointer
See *code of function 		Solver::AssembleF (...) for more info.*/typedef FEMLightObject LoadType
virtual void Write (std::ostream &f) const

Static Public Member Functions

static FEMLightObject::Pointer CreateFromStream (std::istream &f, void *info)
static Self::Pointer New ()
static void SkipWhiteSpace (std::istream &f)

Public Attributes

int GN
*Pointer to material properties
of the element *MaterialLinearElasticity::ConstPointer 		m_mat

Static Public Attributes

static const int CLID
static const Float gaussPoint [gaussMaxOrder+1][gaussMaxOrder]
static const Float gaussWeight [gaussMaxOrder+1][gaussMaxOrder]
static const std::string whitespaces

Protected Attributes

NodeIDType m_node [NumberOfNodes]

Member Typedef Documentation

typedef FEMPArray<Element> itk::fem::Element::ArrayType [inherited]
 

Array class that holds special pointers to the Element objects

Definition at line 90 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 67 of file itkFEMLightObject.h.

typedef const Self* itk::fem::Element2DC0QuadraticTriangularStress::ConstPointer
 

Const pointer or SmartPointer to an object.

Reimplemented from itk::fem::Element2DStress< Element2DC0QuadraticTriangular >.

Definition at line 38 of file itkFEMElement2DC0QuadraticTriangularStress.h.

typedef Superclass::DegreeOfFreedomIDType itk::fem::ElementStd< VNumberOfNodes, VNumberOfSpatialDimensions, Element >::DegreeOfFreedomIDType [inherited]
 

Reimplemented from itk::fem::Element.

Definition at line 70 of file itkFEMElementStd.h.

typedef Superclass::Float itk::fem::Element2DStress< Element2DC0QuadraticTriangular >::Float [inherited]
 

Reimplemented from itk::fem::ElementStd< 6, 2 >.

Definition at line 51 of file itkFEMElement2DStress.h.

typedef Superclass::LoadPointer itk::fem::ElementStd< VNumberOfNodes, VNumberOfSpatialDimensions, Element >::LoadPointer [inherited]
 

Reimplemented from itk::fem::Element.

Definition at line 68 of file itkFEMElementStd.h.

typedef Superclass::LoadType itk::fem::ElementStd< VNumberOfNodes, VNumberOfSpatialDimensions, Element >::LoadType [inherited]
 

Definition at line 67 of file itkFEMElementStd.h.

typedef Superclass::MatrixType itk::fem::Element2DStress< Element2DC0QuadraticTriangular >::MatrixType [inherited]
 

Reimplemented from itk::fem::ElementStd< 6, 2 >.

Definition at line 52 of file itkFEMElement2DStress.h.

typedef Superclass::Node itk::fem::ElementStd< VNumberOfNodes, VNumberOfSpatialDimensions, Element >::Node [inherited]
 

Definition at line 71 of file itkFEMElementStd.h.

typedef Superclass::NodeIDType itk::fem::ElementStd< VNumberOfNodes, VNumberOfSpatialDimensions, Element >::NodeIDType [inherited]
 

Reimplemented from itk::fem::Element.

Definition at line 69 of file itkFEMElementStd.h.

typedef Self* itk::fem::Element2DC0QuadraticTriangularStress::Pointer
 

Pointer or SmartPointer to an object.

Reimplemented from itk::fem::Element2DStress< Element2DC0QuadraticTriangular >.

Definition at line 38 of file itkFEMElement2DC0QuadraticTriangularStress.h.

typedef Element2DC0QuadraticTriangularStress itk::fem::Element2DC0QuadraticTriangularStress::Self
 

Standard Self typedef.

Reimplemented from itk::fem::Element2DStress< Element2DC0QuadraticTriangular >.

Definition at line 38 of file itkFEMElement2DC0QuadraticTriangularStress.h.

typedef Element2DStress<Element2DC0QuadraticTriangular> itk::fem::Element2DC0QuadraticTriangularStress::Superclass
 

Standard Superclass typedef.

Reimplemented from itk::fem::Element2DStress< Element2DC0QuadraticTriangular >.

Definition at line 38 of file itkFEMElement2DC0QuadraticTriangularStress.h.

typedef Superclass::VectorType itk::fem::Element2DStress< Element2DC0QuadraticTriangular >::VectorType [inherited]
 

Reimplemented from itk::fem::ElementStd< 6, 2 >.

Definition at line 53 of file itkFEMElement2DStress.h.

Member Enumeration Documentation

anonymous enum [inherited]
 

Enumeration values:
DefaultIntegrationOrder 

Definition at line 46 of file itkFEMElement2DC0QuadraticTriangular.h.

anonymous enum [inherited]
 

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.

Enumeration values:
InvalidDegreeOfFreedomID 

Definition at line 127 of file itkFEMElementBase.h.

anonymous enum [inherited]
 

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.

See also:
gaussPoint
Enumeration values:
gaussMaxOrder 

Definition at line 481 of file itkFEMElementBase.h.

Constructor & Destructor Documentation

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.

Member Function Documentation

virtual int itk::fem::Element2DC0QuadraticTriangularStress::ClassID (   )  const [inline, virtual]
 

Virtual function to access the class ID

Implements itk::fem::FEMLightObject.

Definition at line 38 of file itkFEMElement2DC0QuadraticTriangularStress.h.

virtual Baseclass::Pointer itk::fem::Element2DC0QuadraticTriangularStress::Clone (   )  const [virtual]
 

Create a new object from the existing one

Implements itk::fem::FEMLightObject.

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.

itk::fem::Element2DStress< Element2DC0QuadraticTriangular >::Element2DStress (   )  [inherited]
 

Default constructor only clears the internal storage

itk::fem::ElementStd< VNumberOfNodes, VNumberOfSpatialDimensions, Element >::ElementStd (   )  [inherited]
 

Default constructor just clears the ivars

* Convenient way to access IDs of degrees of freedom* that are stored in node objects* * param local_dof Local number of degree of freedom within an element* DegreeOfFreedomIDType itk::fem::Element::GetDegreeOfFreedom (  unsigned int  local_dof  )  const [inline, inherited]
 

Definition at line 394 of file itkFEMElementBase.h.

References itk::fem::Element::GetNode(), itk::fem::Element::GetNumberOfDegreesOfFreedom(), itk::fem::Element::InvalidDegreeOfFreedomID, and itk::fem::this.

virtual Float itk::fem::Element::GetElementDeformationEnergy (  MatrixType &  LocalSolution  )  const [virtual, inherited]
 

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, inherited]
 

Transforms the given local element coordinates into global.

Parameters:
pt Point in local element coordinates.

virtual void itk::fem::Element2DC0QuadraticTriangular::GetIntegrationPointAndWeight (  unsigned int  i,
VectorType &  pt,
Float &  w,
unsigned int  order
)  const [virtual, inherited]
 

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.

Note:
This function must be implemented in derived element classes, and is expected to provide valid integration points for up to gaussMaxOrder-th order of integration.
Parameters:
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.
See also:
GetNumberOfIntegrationPoints()

Implements itk::fem::Element.

virtual void itk::fem::Element::GetLandmarkContributionMatrix (  float  eta,
MatrixType &  Le
)  const [virtual, inherited]
 

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, inherited]
 

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.

Note:
Each derived class must implement its own version of this function. This is automated by calling the LOAD_FUNCTION() macro within the class declaration (in the public: block).
For example on how to define specific element load, see funtion LoadImplementationPoint_Bar2D.

Note:
: Before a load can be applied to an element, the function that implements a load must be registered with the VisitorDispactcher class.
Parameters:
l Pointer to a load object.
Fe Reference to vector object that will store nodal forces.
See also:
VisitorDispatcher

* 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 itk::fem::Element::GetLoadVector (    ...  )  [inherited]
 

virtual bool itk::fem::Element2DC0QuadraticTriangular::GetLocalFromGlobalCoordinates (  const VectorType &  ,
VectorType & 
)  const [inline, virtual, inherited]
 

Transforms the given global element coordinates into local. Returns false if the point is outside.

Parameters:
globalPt Reference to vector containing a point in global (world) coordinates.
localPt Reference to the vector that will store the local coordinate.

Implements itk::fem::Element.

Definition at line 64 of file itkFEMElement2DC0QuadraticTriangular.h.

void itk::fem::Element2DStress< Element2DC0QuadraticTriangular >::GetMassMatrix (  MatrixType &  Me  )  const [virtual, inherited]
 

Compute the mass matrix specific for 2D stress problems.

Reimplemented from itk::fem::Element.

virtual Material::ConstPointer itk::fem::Element2DStress< Element2DC0QuadraticTriangular >::GetMaterial (  void   )  const [inline, virtual, inherited]
 

Reimplemented from itk::fem::Element.

Definition at line 108 of file itkFEMElement2DStress.h.

virtual void itk::fem::Element2DStress< Element2DC0QuadraticTriangular >::GetMaterialMatrix (  MatrixType &  D  )  const [virtual, inherited]
 

Compute the D matrix.

Implements itk::fem::Element.

virtual NodeIDType itk::fem::ElementStd< VNumberOfNodes, VNumberOfSpatialDimensions, Element >::GetNode (  unsigned int  n  )  const [inline, virtual, inherited]
 

Implements itk::fem::Element.

Definition at line 101 of file itkFEMElementStd.h.

virtual const VectorType& itk::fem::ElementStd< VNumberOfNodes, VNumberOfSpatialDimensions, Element >::GetNodeCoordinates (  unsigned int  n  )  const [inline, virtual, inherited]
 

Implements itk::fem::Element.

Definition at line 116 of file itkFEMElementStd.h.

virtual unsigned int itk::fem::Element::GetNumberOfDegreesOfFreedom (  void   )  const [inline, virtual, inherited]
 

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 658 of file itkFEMElementBase.h.

References itk::fem::Element::GetNumberOfDegreesOfFreedomPerNode(), and itk::fem::Element::GetNumberOfNodes().

Referenced by itk::fem::Element::GetDegreeOfFreedom().

virtual unsigned int itk::fem::Element2DStress< Element2DC0QuadraticTriangular >::GetNumberOfDegreesOfFreedomPerNode (  void   )  const [inline, virtual, inherited]
 

2D stress elements have 2 DOFs per node.

Implements itk::fem::Element.

Definition at line 97 of file itkFEMElement2DStress.h.

virtual unsigned int itk::fem::Element2DC0QuadraticTriangular::GetNumberOfIntegrationPoints (  unsigned int  order  )  const [virtual, inherited]
 

Returns total number of integration points, for given order of Gauss-Legendre numerical integration rule.

Note:
This function must be implemented in derived element classes, and is expected to provide valid number of integration points for up to gaussMaxOrder-th order of integration.
See also:
GetIntegrationPointAndWeight()

Implements itk::fem::Element.

virtual unsigned int itk::fem::ElementStd< VNumberOfNodes, VNumberOfSpatialDimensions, Element >::GetNumberOfNodes (  void   )  const [inline, virtual, inherited]
 

Implements itk::fem::Element.

Definition at line 98 of file itkFEMElementStd.h.

virtual unsigned int itk::fem::ElementStd< VNumberOfNodes, VNumberOfSpatialDimensions, Element >::GetNumberOfSpatialDimensions (   )  const [inline, virtual, inherited]
 

Implements itk::fem::Element.

Definition at line 121 of file itkFEMElementStd.h.

virtual void itk::fem::Element::GetStiffnessMatrix (  MatrixType &  Ke  )  const [virtual, inherited]
 

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.

Parameters:
Ke Reference to the resulting stiffnes matrix.
Note:
This is a very generic implementation of the stiffness matrix that is suitable for any problem/element definition. A specifc element may override this implementation with its own simple one.

Reimplemented in itk::fem::Element2DC1Beam, and itk::fem::Element1DStress< Element2DC0LinearLine >.

virtual void itk::fem::Element2DStress< Element2DC0QuadraticTriangular >::GetStrainDisplacementMatrix (  MatrixType &  B,
const MatrixType &  shapeDgl
)  const [virtual, inherited]
 

Compute the B matrix.

Implements itk::fem::Element.

virtual VectorType itk::fem::Element::GetStrainsAtPoint (  const VectorType &  pt,
const Solution &  sol,
unsigned int  index
)  const [virtual, inherited]
 

virtual VectorType itk::fem::Element::GetStressesAtPoint (  const VectorType &  pt,
const VectorType &  e,
const Solution &  sol,
unsigned int  index
)  const [virtual, inherited]
 

itk::fem::Element2DC0QuadraticTriangularStress::HANDLE_ELEMENT_LOADS (   ) 
 

virtual VectorType itk::fem::Element::InterpolateSolution (  const VectorType &  pt,
const Solution &  sol,
unsigned int  solutionIndex = 0
)  const [virtual, inherited]
 

Return interpolated value of all unknown functions at given local point.

Parameters:
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, inherited]
 

Return interpolated value of f-th unknown function at given local point.

Parameters:
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, inherited]
 

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.

Parameters:
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::Element2DC0QuadraticTriangular::JacobianDeterminant (  const VectorType &  pt,
const MatrixType *  pJ = 0
)  const [virtual, inherited]
 

Compute the determinant of the Jacobian matrix at a given point with respect to the local coordinate system.

Parameters:
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 from itk::fem::Element.

virtual void itk::fem::Element2DC0QuadraticTriangular::JacobianInverse (  const VectorType &  pt,
MatrixType &  invJ,
const MatrixType *  pJ = 0
)  const [virtual, inherited]
 

Compute the inverse of the Jacobian matrix at a given point with respect to the local coordinate system.

Parameters:
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 from itk::fem::Element.

static Self::Pointer itk::fem::Element2DC0QuadraticTriangularStress::New (  void   )  [inline, static]
 

Object creation in an itk compatible way

Definition at line 38 of file itkFEMElement2DC0QuadraticTriangularStress.h.

virtual void itk::fem::Element2DStress< Element2DC0QuadraticTriangular >::Read (  std::istream &  ,
void *  info
)  [virtual, inherited]
 

Read data for this class from input stream

Reimplemented from itk::fem::ElementStd< 6, 2 >.

virtual void itk::fem::Element2DStress< Element2DC0QuadraticTriangular >::SetMaterial (  Material::ConstPointer  mat_  )  [inline, virtual, inherited]
 

Reimplemented from itk::fem::Element.

Definition at line 109 of file itkFEMElement2DStress.h.

virtual void itk::fem::ElementStd< VNumberOfNodes, VNumberOfSpatialDimensions, Element >::SetNode (  unsigned int  n,
NodeIDType  node
)  [inline, virtual, inherited]
 

Implements itk::fem::Element.

Definition at line 110 of file itkFEMElementStd.h.

virtual void itk::fem::Element2DC0QuadraticTriangular::ShapeFunctionDerivatives (  const VectorType &  pt,
MatrixType &  shapeD
)  const [virtual, inherited]
 

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.

Parameters:
pt Point in local element coordinates.
shapeD Reference to a matrix object, which will be filled with values of shape function derivatives.
See also:
ShapeFunctionGlobalDerivatives

Implements itk::fem::Element.

virtual void itk::fem::Element::ShapeFunctionGlobalDerivatives (  const VectorType &  pt,
MatrixType &  shapeDgl,
const MatrixType *  pJ = 0,
const MatrixType *  pshapeD = 0
)  const [virtual, inherited]
 

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.

Parameters:
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.
See also:
ShapeFunctionDerivatives

virtual VectorType itk::fem::Element2DC0QuadraticTriangular::ShapeFunctions (  const VectorType &  pt  )  const [virtual, inherited]
 

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.

Parameters:
pt Point in local element coordinates.

Implements itk::fem::Element.

static void itk::fem::FEMLightObject::SkipWhiteSpace (  std::istream &  f  )  [static, inherited]
 

Helper function that skips all the whitespace and comments in an input stream.

* 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 you should* ALWAYS first convert the argument to Element::LoadPointer See* code of function itk::fem::Element::Solver::AssembleF (    ...  )  [inherited]
 

virtual void itk::fem::Element2DStress< Element2DC0QuadraticTriangular >::Write (  std::ostream &  f  )  const [virtual, inherited]
 

Write this class to output stream

Reimplemented from itk::fem::ElementStd< 6, 2 >.

Member Data Documentation

const int itk::fem::Element2DC0QuadraticTriangularStress::CLID [static]
 

Class ID for FEM object factory

Definition at line 38 of file itkFEMElement2DC0QuadraticTriangularStress.h.

const Float itk::fem::Element::gaussPoint[gaussMaxOrder+1][gaussMaxOrder] [static, inherited]
 

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.

See also:
gaussWeight

Definition at line 494 of file itkFEMElementBase.h.

const Float itk::fem::Element::gaussWeight[gaussMaxOrder+1][gaussMaxOrder] [static, inherited]
 

Weights for Gauss-Legendre integration.

See also:
gaussPoint

Definition at line 501 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 168 of file itkFEMLightObject.h.

Referenced by itk::fem::FEMLightObject::FEMLightObject().

* Pointer to material properties of the element* MaterialLinearElasticity::ConstPointer itk::fem::Element2DStress< Element2DC0QuadraticTriangular >::m_mat [inherited]
 

Definition at line 107 of file itkFEMElement2DStress.h.

NodeIDType itk::fem::ElementStd< VNumberOfNodes, VNumberOfSpatialDimensions, Element >::m_node[NumberOfNodes] [protected, inherited]
 

Array of pointers to point objects that define the element

Definition at line 152 of file itkFEMElementStd.h.

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 138 of file itkFEMLightObject.h.

The documentation for this class was generated from the following file:
Generated at Sun Jul 9 22:52:12 2006 for ITK by doxygen 1.4.2 written by Dimitri van Heesch, © 1997-2000