Kratos::GeometryData Class Reference

#include <geometry_data.h>

Collaboration diagram for Kratos::GeometryData:

Public Types
Enum's
enum class	IntegrationMethod {   GI_GAUSS_1 , GI_GAUSS_2 , GI_GAUSS_3 , GI_GAUSS_4 ,   GI_GAUSS_5 , GI_EXTENDED_GAUSS_1 , GI_EXTENDED_GAUSS_2 , GI_EXTENDED_GAUSS_3 ,   GI_EXTENDED_GAUSS_4 , GI_EXTENDED_GAUSS_5 , NumberOfIntegrationMethods }
enum class	KratosGeometryFamily {   Kratos_NoElement , Kratos_Point , Kratos_Linear , Kratos_Triangle ,   Kratos_Quadrilateral , Kratos_Tetrahedra , Kratos_Hexahedra , Kratos_Prism ,   Kratos_Pyramid , Kratos_Nurbs , Kratos_Brep , Kratos_Quadrature_Geometry ,   Kratos_Composite , Kratos_generic_family , NumberOfGeometryFamilies }
enum class	KratosGeometryType {   Kratos_generic_type , Kratos_Hexahedra3D20 , Kratos_Hexahedra3D27 , Kratos_Hexahedra3D8 ,   Kratos_Prism3D15 , Kratos_Prism3D6 , Kratos_Pyramid3D13 , Kratos_Pyramid3D5 ,   Kratos_Quadrilateral2D4 , Kratos_Quadrilateral2D8 , Kratos_Quadrilateral2D9 , Kratos_Quadrilateral3D4 ,   Kratos_Quadrilateral3D8 , Kratos_Quadrilateral3D9 , Kratos_Tetrahedra3D10 , Kratos_Tetrahedra3D4 ,   Kratos_Triangle2D3 , Kratos_Triangle2D6 , Kratos_Triangle2D10 , Kratos_Triangle2D15 ,   Kratos_Triangle3D3 , Kratos_Triangle3D6 , Kratos_Line2D2 , Kratos_Line2D3 ,   Kratos_Line2D4 , Kratos_Line2D5 , Kratos_Line3D2 , Kratos_Line3D3 ,   Kratos_Point2D , Kratos_Point3D , Kratos_Sphere3D1 , Kratos_Nurbs_Curve ,   Kratos_Nurbs_Surface , Kratos_Nurbs_Volume , Kratos_Nurbs_Curve_On_Surface , Kratos_Surface_In_Nurbs_Volume ,   Kratos_Brep_Curve , Kratos_Brep_Surface , Kratos_Brep_Curve_On_Surface , Kratos_Quadrature_Point_Geometry ,   Kratos_Coupling_Geometry , Kratos_Quadrature_Point_Curve_On_Surface_Geometry , Kratos_Quadrature_Point_Surface_In_Volume_Geometry , NumberOfGeometryTypes }

Public Member Functions
Life Cycle
	GeometryData (GeometryDimension const *pThisGeometryDimension, IntegrationMethod ThisDefaultMethod, const IntegrationPointsContainerType &ThisIntegrationPoints, const ShapeFunctionsValuesContainerType &ThisShapeFunctionsValues, const ShapeFunctionsLocalGradientsContainerType &ThisShapeFunctionsLocalGradients)
	GeometryData (GeometryDimension const *pThisGeometryDimension, const GeometryShapeFunctionContainer< IntegrationMethod > &ThisGeometryShapeFunctionContainer)
	GeometryData (const GeometryData &rOther)
	Copy constructor. More...
virtual	~GeometryData ()
	Destructor. More...
Operators
GeometryData &	operator= (const GeometryData &rOther)
	Assignment operator. More...
GeometryDimension
void	SetGeometryDimension (GeometryDimension const *pGeometryDimension)
Geometry Shape Function Container
void	SetGeometryShapeFunctionContainer (const GeometryShapeFunctionContainer< IntegrationMethod > &rGeometryShapeFunctionContainer)
	SetGeometryShapeFunctionContainer updates the GeometryShapeFunctionContainer. More...
const GeometryShapeFunctionContainer< IntegrationMethod > &	GetGeometryShapeFunctionContainer () const
	Returns the GeometryShapeFunctionContainer. More...
Informations
SizeType	WorkingSpaceDimension () const
SizeType	LocalSpaceDimension () const
Inquiry
bool	HasIntegrationMethod (IntegrationMethod ThisMethod) const
Integration
IntegrationMethod	DefaultIntegrationMethod () const
SizeType	IntegrationPointsNumber () const
SizeType	IntegrationPointsNumber (IntegrationMethod ThisMethod) const
const IntegrationPointsArrayType &	IntegrationPoints () const
const IntegrationPointsArrayType &	IntegrationPoints (IntegrationMethod ThisMethod) const
Shape Function
const Matrix &	ShapeFunctionsValues () const
const Matrix &	ShapeFunctionsValues (IntegrationMethod ThisMethod) const
double	ShapeFunctionValue (IndexType IntegrationPointIndex, IndexType ShapeFunctionIndex) const
double	ShapeFunctionValue (IndexType IntegrationPointIndex, IndexType ShapeFunctionIndex, IntegrationMethod ThisMethod) const
const ShapeFunctionsGradientsType &	ShapeFunctionsLocalGradients () const
const ShapeFunctionsGradientsType &	ShapeFunctionsLocalGradients (IntegrationMethod ThisMethod) const
const Matrix &	ShapeFunctionLocalGradient (IndexType IntegrationPointIndex) const
const Matrix &	ShapeFunctionLocalGradient (IndexType IntegrationPointIndex, IntegrationMethod ThisMethod) const
const Matrix &	ShapeFunctionLocalGradient (IndexType IntegrationPointIndex, IndexType ShapeFunctionIndex, IntegrationMethod ThisMethod) const
const Matrix &	ShapeFunctionDerivatives (IndexType DerivativeOrderIndex, IndexType IntegrationPointIndex, IntegrationMethod ThisMethod) const
Input and output
virtual std::string	Info () const
	Turn back information as a string. More...
virtual void	PrintInfo (std::ostream &rOStream) const
	Print information about this object. More...
virtual void	PrintData (std::ostream &rOStream) const
	Print object's data. More...

Type Definitions
typedef std::size_t	IndexType
typedef std::size_t	SizeType
typedef IntegrationPoint< 3 >	IntegrationPointType
typedef GeometryShapeFunctionContainer< IntegrationMethod >::IntegrationPointsArrayType	IntegrationPointsArrayType
typedef GeometryShapeFunctionContainer< IntegrationMethod >::IntegrationPointsContainerType	IntegrationPointsContainerType
typedef GeometryShapeFunctionContainer< IntegrationMethod >::ShapeFunctionsValuesContainerType	ShapeFunctionsValuesContainerType
typedef GeometryShapeFunctionContainer< IntegrationMethod >::ShapeFunctionsLocalGradientsContainerType	ShapeFunctionsLocalGradientsContainerType
typedef DenseVector< Matrix >	ShapeFunctionsGradientsType
typedef DenseVector< Matrix >	ShapeFunctionsSecondDerivativesType
typedef DenseVector< DenseVector< Matrix > >	ShapeFunctionsThirdDerivativesType
	KRATOS_CLASS_POINTER_DEFINITION (GeometryData)
	Pointer definition of GeometryData. More...

Serialization
class	Serializer

Detailed Description

GeometryData base class.As a base class GeometryData has all the common interface of Kratos' geometries. Also it contains array of pointers to its points, reference to shape functions values in all integrations points and also local gradients of shape functions evaluated in all integrations points.

See also

Geometry

Element

Member Typedef Documentation

IndexType

typedef std::size_t Kratos::GeometryData::IndexType

Type used for indexing in geometry data class. Unsigned int used for indexing point or integration point access methods and also all other methods which need point or integration point index.

IntegrationPointsArrayType

typedef GeometryShapeFunctionContainer<IntegrationMethod>::IntegrationPointsArrayType Kratos::GeometryData::IntegrationPointsArrayType

A Vector of IntegrationPointType which used to hold integration points related to an integration method. IntegrationPoints functions used this type to return their results.

IntegrationPointsContainerType

typedef GeometryShapeFunctionContainer<IntegrationMethod>::IntegrationPointsContainerType Kratos::GeometryData::IntegrationPointsContainerType

A Vector of IntegrationPointsArrayType which used to hold integration points related to different integration method implemented in geometry.

IntegrationPointType

typedef IntegrationPoint<3> Kratos::GeometryData::IntegrationPointType

This type used for representing an integration point in geometry data. This integration point is a point with an additional weight component.

ShapeFunctionsGradientsType

typedef DenseVector<Matrix> Kratos::GeometryData::ShapeFunctionsGradientsType

A third order tensor to hold shape functions' gradients. ShapefunctionsLocalGradients function return this type as its result.

ShapeFunctionsLocalGradientsContainerType

typedef GeometryShapeFunctionContainer<IntegrationMethod>::ShapeFunctionsLocalGradientsContainerType Kratos::GeometryData::ShapeFunctionsLocalGradientsContainerType

A fourth order tensor used as shape functions' local gradients container in geometry data.

ShapeFunctionsSecondDerivativesType

typedef DenseVector<Matrix> Kratos::GeometryData::ShapeFunctionsSecondDerivativesType

ShapeFunctionsThirdDerivativesType

typedef DenseVector<DenseVector<Matrix> > Kratos::GeometryData::ShapeFunctionsThirdDerivativesType

fourth order tensor to hold the third order derivatives of the shape functions

ShapeFunctionsValuesContainerType

typedef GeometryShapeFunctionContainer<IntegrationMethod>::ShapeFunctionsValuesContainerType Kratos::GeometryData::ShapeFunctionsValuesContainerType

A third order tensor used as shape functions' values continer.

SizeType

typedef std::size_t Kratos::GeometryData::SizeType

This typed used to return size or dimension in geometry data. Dimension, WorkingSpaceDimension, PointsNumber and ... return this type as their results.

Member Enumeration Documentation

IntegrationMethod

enum Kratos::GeometryData::IntegrationMethod

strong

Integration methods implemented in geometry. Each geometry supposed to have different integration method for integrating. These enums are used to refere to each different integration methods:

• GI_GAUSS_1 gaussian integration with order 1.
• GI_GAUSS_2 gaussian integration with order 2.
• GI_GAUSS_3 gaussian integration with order 3.
• GI_GAUSS_4 gaussian integration with order 4.
• GI_GAUSS_5 gaussian integration with order 5.

Enumerator
GI_GAUSS_1
GI_GAUSS_2
GI_GAUSS_3
GI_GAUSS_4
GI_GAUSS_5
GI_EXTENDED_GAUSS_1
GI_EXTENDED_GAUSS_2
GI_EXTENDED_GAUSS_3
GI_EXTENDED_GAUSS_4
GI_EXTENDED_GAUSS_5
NumberOfIntegrationMethods

KratosGeometryFamily

enum Kratos::GeometryData::KratosGeometryFamily

strong

Enumerator
Kratos_NoElement
Kratos_Point
Kratos_Linear
Kratos_Triangle
Kratos_Quadrilateral
Kratos_Tetrahedra
Kratos_Hexahedra
Kratos_Prism
Kratos_Pyramid
Kratos_Nurbs
Kratos_Brep
Kratos_Quadrature_Geometry
Kratos_Composite
Kratos_generic_family
NumberOfGeometryFamilies

KratosGeometryType

enum Kratos::GeometryData::KratosGeometryType

strong

Enumerator
Kratos_generic_type
Kratos_Hexahedra3D20
Kratos_Hexahedra3D27
Kratos_Hexahedra3D8
Kratos_Prism3D15
Kratos_Prism3D6
Kratos_Pyramid3D13
Kratos_Pyramid3D5
Kratos_Quadrilateral2D4
Kratos_Quadrilateral2D8
Kratos_Quadrilateral2D9
Kratos_Quadrilateral3D4
Kratos_Quadrilateral3D8
Kratos_Quadrilateral3D9
Kratos_Tetrahedra3D10
Kratos_Tetrahedra3D4
Kratos_Triangle2D3
Kratos_Triangle2D6
Kratos_Triangle2D10
Kratos_Triangle2D15
Kratos_Triangle3D3
Kratos_Triangle3D6
Kratos_Line2D2
Kratos_Line2D3
Kratos_Line2D4
Kratos_Line2D5
Kratos_Line3D2
Kratos_Line3D3
Kratos_Point2D
Kratos_Point3D
Kratos_Sphere3D1
Kratos_Nurbs_Curve
Kratos_Nurbs_Surface
Kratos_Nurbs_Volume
Kratos_Nurbs_Curve_On_Surface
Kratos_Surface_In_Nurbs_Volume
Kratos_Brep_Curve
Kratos_Brep_Surface
Kratos_Brep_Curve_On_Surface
Kratos_Quadrature_Point_Geometry
Kratos_Coupling_Geometry
Kratos_Quadrature_Point_Curve_On_Surface_Geometry
Kratos_Quadrature_Point_Surface_In_Volume_Geometry
NumberOfGeometryTypes

Constructor & Destructor Documentation

GeometryData() [1/3]

Kratos::GeometryData::GeometryData ( GeometryDimension const *  pThisGeometryDimension, IntegrationMethod  ThisDefaultMethod, const IntegrationPointsContainerType &  ThisIntegrationPoints, const ShapeFunctionsValuesContainerType &  ThisShapeFunctionsValues, const ShapeFunctionsLocalGradientsContainerType &  ThisShapeFunctionsLocalGradients  )

inline

Complete argument constructor. This constructor gives a complete set of arguments to pass all the initial value of all the member variables of geometry class. Also it has default value for integration variables to make it usefull in the case of constructing new geometry without mapping and integrating properties.

Parameters

ThisDimension	Dimension of this geometry.
ThisWorkingSpaceDimension	Working space dimension. for example a triangle 3d is a 2 dimensional shape but can be used in 3 dimensional space.
ThisLocalSpaceDimension	Local space dimension. for example a triangle is a 2 dimensional shape but can have 3 dimensional area coordinates l1, l2, l3.
ThisDefaultMethod	Default integration method. Its default value is gaussian integration with orden one which make no deference while in this condition there is no shape function database exist and integrating is not possible including by default method.
ThisIntegrationPoints	All the integration points in all methods. This is a Vector of IntegrationPointsArrayType and It must have at least four component correspounding to four integration method defined now. If there is some geometry which don't have all this method implemented related points Vector must exist but with zero size. For example if a geometry don't have gaussian orden one ThisIntegrationPoints[GI_GAUSS_1] must be an empty IntegrationPointsArrayType.
ThisShapeFunctionsValues	Values of all the shape functions evaluated in all integrations points of all integration methods. It's a three dimensional array \( F_{ijk} \) where i = GI_GAUSS_1,..., GI_GAUSS_4 and j is the integration point index and k is the shape function index. In the other word component \( f_{ijk} \) is the value of the shape function related to node k evaluated in integration point j of i integration method point set. Again if there is some integration method unsupported an empty Matrix must assigned to related place. For example if a geometry don't have gaussian orden four ThisShapeFunctionsValues[GI_GAUSS_4] must be an empty Matrix.
ThisShapeFunctionsLocalGradients	Values of local gradients respected to all local coordinates of all the shape functions evaluated in all integrations points of all integration methods. It's a four dimensional array \( F_{ijkh} \) where i = GI_GAUSS_1,..., GI_GAUSS_4 and j is the integration point index and k is the shape function index and h is local coordinate index. In the other word component \( f_{ijkh} \) is the value of h'th component of local gradient of the shape function related to node k evaluated in integration point j of i integration method point set. Again if there is some integration method unsupported an empty ShapeFunctionsGradientsType must assigned to related place. For example if a geometry don't have gaussian order "2" ThisShapeFunctionsValues[GI_GAUSS_2] must be an empty ShapeFunctionsGradientsType.

GeometryData() [2/3]

Kratos::GeometryData::GeometryData ( GeometryDimension const *  pThisGeometryDimension, const GeometryShapeFunctionContainer< IntegrationMethod > &  ThisGeometryShapeFunctionContainer  )

inline

GeometryData() [3/3]

Kratos::GeometryData::GeometryData ( const GeometryData &  rOther )

inline

Copy constructor.

~GeometryData()

virtual Kratos::GeometryData::~GeometryData ( )

inlinevirtual

Destructor.

Member Function Documentation

DefaultIntegrationMethod()

IntegrationMethod Kratos::GeometryData::DefaultIntegrationMethod ( ) const

inline

Number of integration points for default integration method. This method just call IntegrationPointsNumber(enum IntegrationMethod ThisMethod) with default integration method.

Returns

SizeType which is the number of integration points for default integrating method.

GetGeometryShapeFunctionContainer()

const GeometryShapeFunctionContainer<IntegrationMethod>& Kratos::GeometryData::GetGeometryShapeFunctionContainer ( ) const

inline

Returns the GeometryShapeFunctionContainer.

HasIntegrationMethod()

bool Kratos::GeometryData::HasIntegrationMethod ( IntegrationMethod  ThisMethod ) const

inline

This method confirm you if this geometry has a specific integration method or not. This method will be usefull to control the geometry before intagrating using a specific method. In GeometryData class this method controls if the integration points vector respecting to this method is empty or not.

Returns

bool true if this integration method exist and false if this method is not imeplemented for this geometry.

Info()

virtual std::string Kratos::GeometryData::Info ( ) const

inlinevirtual

Turn back information as a string.

IntegrationPoints() [1/2]

const IntegrationPointsArrayType& Kratos::GeometryData::IntegrationPoints ( ) const

inline

Integtation points for default integration method. This method just call IntegrationPoints(enum IntegrationMethod ThisMethod) with default integration method.

Returns

const IntegrationPointsArrayType which is Vector of integration points for default integrating method.

IntegrationPoints() [2/2]

const IntegrationPointsArrayType& Kratos::GeometryData::IntegrationPoints ( IntegrationMethod  ThisMethod ) const

inline

Integtation points for given integration method. This method use integration points data base to obtain integration points Vector respected to given method.

Returns

const IntegrationPointsArrayType which is Vector of integration points for default integrating method.

IntegrationPointsNumber() [1/2]

SizeType Kratos::GeometryData::IntegrationPointsNumber ( ) const

inline

IntegrationPointsNumber() [2/2]

SizeType Kratos::GeometryData::IntegrationPointsNumber ( IntegrationMethod  ThisMethod ) const

inline

Number of integtation points for given integration method. This method use integration points data base to obtain size of the integration points Vector respected to given method.

Returns

SizeType which is the number of integration points for given integrating method.

KRATOS_CLASS_POINTER_DEFINITION()

Kratos::GeometryData::KRATOS_CLASS_POINTER_DEFINITION

(

GeometryData

)

Pointer definition of GeometryData.

LocalSpaceDimension()

SizeType Kratos::GeometryData::LocalSpaceDimension ( ) const

inline

Local space dimension. for example a triangle is a 2 dimensional shape but can have 3 dimensional area coordinates l1, l2, l3.

Returns

SizeType, local space dimension of this geometry.

See also

Dimension()

WorkingSpaceDimension()

operator=()

GeometryData& Kratos::GeometryData::operator= ( const GeometryData &  rOther )

inline

Assignment operator.

PrintData()

virtual void Kratos::GeometryData::PrintData ( std::ostream &  rOStream ) const

inlinevirtual

Print object's data.

PrintInfo()

virtual void Kratos::GeometryData::PrintInfo ( std::ostream &  rOStream ) const

inlinevirtual

Print information about this object.

SetGeometryDimension()

void Kratos::GeometryData::SetGeometryDimension ( GeometryDimension const *  pGeometryDimension )

inline

SetGeometryShapeFunctionContainer()

void Kratos::GeometryData::SetGeometryShapeFunctionContainer ( const GeometryShapeFunctionContainer< IntegrationMethod > &  rGeometryShapeFunctionContainer )

inline

SetGeometryShapeFunctionContainer updates the GeometryShapeFunctionContainer.

ShapeFunctionDerivatives()

const Matrix& Kratos::GeometryData::ShapeFunctionDerivatives ( IndexType  DerivativeOrderIndex, IndexType  IntegrationPointIndex, IntegrationMethod  ThisMethod  ) const

inline

ShapeFunctionLocalGradient() [1/3]

const Matrix& Kratos::GeometryData::ShapeFunctionLocalGradient ( IndexType  IntegrationPointIndex ) const

inline

This method gives gradient of given shape function evaluated in given integration point of default integration method. It just call ShapeFunctionLocalGradient(IndexType IntegrationPointIndex, IndexType ShapeFunctionIndex, IntegrationMethod ThisMethod) with default integration method. There is no calculation and it just give it from shape functions values container if they are existing. Otherwise it gives you error which this value is not exist.

Parameters

IntegrationPointIndex	index of integration point which shape function gradient evaluated in it.
ShapeFunctionIndex	index of node which correspounding shape function gradient evaluated in given integration point.

Returns

Gradient of given shape function in given integration point of default integration method.

See also

ShapeFunctionsValues

ShapeFunctionValue

ShapeFunctionsLocalGradients

ShapeFunctionLocalGradient() [2/3]

const Matrix& Kratos::GeometryData::ShapeFunctionLocalGradient ( IndexType  IntegrationPointIndex, IndexType  ShapeFunctionIndex, IntegrationMethod  ThisMethod  ) const

inline

ShapeFunctionLocalGradient() [3/3]

const Matrix& Kratos::GeometryData::ShapeFunctionLocalGradient ( IndexType  IntegrationPointIndex, IntegrationMethod  ThisMethod  ) const

inline

This method gives gradient of given shape function evaluated in given integration point of given integration method. There is no calculation and it just give it from shape functions values container if they are existing. Otherwise it gives you error which this value is not exist.

Parameters

IntegrationPointIndex	index of integration point which shape function gradient evaluated in it.
ShapeFunctionIndex	index of node which correspounding shape function gradient evaluated in given integration point.
ThisMethod	integration method which shape function gradient evaluated in its integration points.

Returns

Gradient of given shape function in given integration point of given integration method.

See also

ShapeFunctionsValues

ShapeFunctionValue

ShapeFunctionsLocalGradients

ShapeFunctionsLocalGradients() [1/2]

const ShapeFunctionsGradientsType& Kratos::GeometryData::ShapeFunctionsLocalGradients ( ) const

inline

This method gives all shape functions gradients evaluated in all integration points of default integration method. It just call ShapeFunctionsLocalGradients( IntegrationMethod ThisMethod) with default integration method. There is no calculation and it just give it from shape functions values container.

Note

There is no control if there is any gradient calculated or not!

Returns

shape functions' gradients \( F_{ijk} \) where i is the integration point index and j is the shape function index and k is local coordinate index. In other word component \( f_{ijk} \) is k'th component of gradient of the shape function corresponding to node j evaluated in integration point i of default integration method.

See also

ShapeFunctionsValues

ShapeFunctionValue

ShapeFunctionLocalGradient

ShapeFunctionsLocalGradients() [2/2]

const ShapeFunctionsGradientsType& Kratos::GeometryData::ShapeFunctionsLocalGradients ( IntegrationMethod  ThisMethod ) const

inline

This method gives all shape functions gradients evaluated in all integration points of given integration method. There is no calculation and it just give it from shape functions values container.

Note

There is no control if there is any gradient calculated or not!

Parameters

ThisMethod

integration method which shape functions gradients evaluated in its integration points.

Returns

shape functions' gradients \( F_{ijk} \) where i is the integration point index and j is the shape function index and k is local coordinate index. In other word component \( f_{ijk} \) is k'th component of gradient of the shape function corresponding to node j evaluated in integration point i of given integration method.

See also

ShapeFunctionsValues

ShapeFunctionValue

ShapeFunctionLocalGradient

ShapeFunctionsValues() [1/2]

const Matrix& Kratos::GeometryData::ShapeFunctionsValues ( ) const

inline

This method gives all shape functions values evaluated in all integration points of default integration method. It just call ShapeFunctionsValues(enum IntegrationMethod ThisMethod) with default integration method.There is no calculation and it just give it from shape functions values container.

Note

There is no control if the return matrix is empty or not!

Returns

Matrix of values of shape functions \( F_{ij} \) where i is the integration point index and j is the shape function index. In other word component \( f_{ij} \) is value of the shape function corresponding to node j evaluated in integration point i of default integration method.

See also

ShapeFunctionValue

ShapeFunctionsLocalGradients

ShapeFunctionLocalGradient

ShapeFunctionsValues() [2/2]

const Matrix& Kratos::GeometryData::ShapeFunctionsValues ( IntegrationMethod  ThisMethod ) const

inline

This method gives all shape functions values evaluated in all integration points of given integration method. There is no calculation and it just give it from shape functions values container.

Note

There is no control if the return matrix is empty or not!

Parameters

ThisMethod

integration method which shape functions evaluated in its integration points.

Returns

Matrix of values of shape functions \( F_{ij} \) where i is the integration point index and j is the shape function index. In other word component \( f_{ij} \) is value of the shape function corresponding to node j evaluated in integration point i of given integration method.

See also

ShapeFunctionValue

ShapeFunctionsLocalGradients

ShapeFunctionLocalGradient

ShapeFunctionValue() [1/2]

double Kratos::GeometryData::ShapeFunctionValue ( IndexType  IntegrationPointIndex, IndexType  ShapeFunctionIndex  ) const

inline

This method gives value of given shape function evaluated in given integration point of default integration method. It just call ShapeFunctionValue(IndexType IntegrationPointIndex, IndexType ShapeFunctionIndex, enum IntegrationMethod ThisMethod) with default integration method. There is no calculation and it just give it from shape functions values container if they are existing. Otherwise it gives you error which this value is not exist.

Parameters

IntegrationPointIndex	index of integration point which shape functions evaluated in it.
ShapeFunctionIndex	index of node which correspounding shape function evaluated in given integration point.

Returns

Value of given shape function in given integration point of default integration method.

See also

ShapeFunctionsValues

ShapeFunctionsLocalGradients

ShapeFunctionLocalGradient

ShapeFunctionValue() [2/2]

double Kratos::GeometryData::ShapeFunctionValue ( IndexType  IntegrationPointIndex, IndexType  ShapeFunctionIndex, IntegrationMethod  ThisMethod  ) const

inline

This method gives value of given shape function evaluated in given integration point of given integration method. There is no calculation and it just give it from shape functions values container if they are existing. Otherwise it gives you error which this value is not exist.

Parameters

IntegrationPointIndex	index of integration point which shape functions evaluated in it.
ShapeFunctionIndex	index of node which correspounding shape function evaluated in given integration point.
ThisMethod	integration method which shape function evaluated in its integration point.

Returns

Value of given shape function in given integration point of given integration method.

See also

ShapeFunctionsValues

ShapeFunctionsLocalGradients

ShapeFunctionLocalGradient

WorkingSpaceDimension()

SizeType Kratos::GeometryData::WorkingSpaceDimension ( ) const

inline

Working space dimension. for example a triangle is a 2 dimensional shape but can be used in 3 dimensional space.

Returns

SizeType, working space dimension of this geometry.

See also

Dimension()

LocalSpaceDimension()

Friends And Related Function Documentation

Serializer

friend class Serializer

friend

---

The documentation for this class was generated from the following file:

• /home/runner/work/Documentation/Documentation/master/kratos/geometries/geometry_data.h