#include <htselement.h>

Inheritance diagram for oofem::HTSelement:

Collaboration diagram for oofem::HTSelement:

Public Member Functions
	HTSelement (int n, Domain *d)
virtual	~HTSelement ()
void	postInitialize () override
	Performs post initialization steps.
const char *	giveInputRecordName () const override
const char *	giveClassName () const override
Element_Geometry_Type	giveGeometryType () const override
Public Member Functions inherited from oofem::StructuralElement
	StructuralElement (int n, Domain *d)
virtual	~StructuralElement ()
	Destructor.
void	giveCharacteristicMatrix (FloatMatrix &answer, CharType, TimeStep *tStep) override
void	giveCharacteristicVector (FloatArray &answer, CharType type, ValueModeType mode, TimeStep *tStep) override
virtual void	computeMassMatrix (FloatMatrix &answer, TimeStep *tStep)
virtual void	computeLumpedMassMatrix (FloatMatrix &answer, TimeStep *tStep)
virtual void	computeConsistentMassMatrix (FloatMatrix &answer, TimeStep tStep, double &mass, const double ipDensity=NULL)
virtual void	giveMassMtrxIntegrationgMask (IntArray &answer)
void	computeStiffnessMatrix_withIRulesAsSubcells (FloatMatrix &answer, MatResponseMode rMode, TimeStep *tStep)
virtual void	computeInitialStressMatrix (FloatMatrix &answer, TimeStep *tStep)
virtual void	computeLumpedInitialStressMatrix (FloatMatrix &answer, TimeStep *tStep)
void	computeField (ValueModeType mode, TimeStep *tStep, const FloatArray &lcoords, FloatArray &answer) override
virtual void	giveInternalForcesVector_withIRulesAsSubcells (FloatArray &answer, TimeStep *tStep, int useUpdatedGpRecord=0)
int	giveIPValue (FloatArray &answer, GaussPoint gp, InternalStateType type, TimeStep tStep) override
virtual void	computeResultingIPTemperatureAt (FloatArray &answer, TimeStep tStep, GaussPoint gp, ValueModeType mode)
virtual void	computeResultingIPEigenstrainAt (FloatArray &answer, TimeStep tStep, GaussPoint gp, ValueModeType mode)
void	updateBeforeNonlocalAverage (TimeStep *tStep) override
virtual void	giveNonlocalLocationArray (IntArray &locationArray, const UnknownNumberingScheme &us)
virtual void	addNonlocalStiffnessContributions (SparseMtrx &dest, const UnknownNumberingScheme &s, TimeStep *tStep)
int	adaptiveUpdate (TimeStep *tStep) override
void	updateInternalState (TimeStep *tStep) override
void	updateYourself (TimeStep *tStep) override
int	checkConsistency () override
void	giveInputRecord (DynamicInputRecord &input) override
const char *	giveClassName () const override
int	giveInternalStateAtNode (FloatArray &answer, InternalStateType type, InternalStateMode mode, int node, TimeStep *tStep) override
void	showSparseMtrxStructure (CharType mtrx, oofegGraphicContext &gc, TimeStep *tStep) override
	Shows sparse structure.
void	showExtendedSparseMtrxStructure (CharType mtrx, oofegGraphicContext &gc, TimeStep *tStep) override
	Shows extended sparse structure (for example, due to nonlocal interactions for tangent stiffness).
void	computeLoadVector (FloatArray &answer, BodyLoad load, CharType type, ValueModeType mode, TimeStep tStep) override
void	computeBoundarySurfaceLoadVector (FloatArray &answer, BoundaryLoad load, int boundary, CharType type, ValueModeType mode, TimeStep tStep, bool global=true) override
void	computeBoundaryEdgeLoadVector (FloatArray &answer, BoundaryLoad load, int boundary, CharType type, ValueModeType mode, TimeStep tStep, bool global=true) override
virtual void	computeEdgeNMatrix (FloatMatrix &answer, int boundaryID, const FloatArray &lcoords)
	computes edge interpolation matrix
virtual void	computeSurfaceNMatrix (FloatMatrix &answer, int boundaryID, const FloatArray &lcoords)
StructuralCrossSection *	giveStructuralCrossSection ()
	Helper function which returns the structural cross-section for the element.
virtual void	createMaterialStatus ()
Public Member Functions inherited from oofem::Element
	Element (int n, Domain *aDomain)
	Element (const Element &src)=delete
Element &	operator= (const Element &src)=delete
virtual	~Element ()
	Virtual destructor.
void	giveLocationArray (IntArray &locationArray, const UnknownNumberingScheme &s, IntArray *dofIds=NULL) const
void	giveLocationArray (IntArray &locationArray, const IntArray &dofIDMask, const UnknownNumberingScheme &s, IntArray *dofIds=NULL) const
virtual void	giveBoundaryLocationArray (IntArray &locationArray, const IntArray &bNodes, const UnknownNumberingScheme &s, IntArray *dofIds=NULL)
virtual void	giveBoundaryLocationArray (IntArray &locationArray, const IntArray &bNodes, const IntArray &dofIDMask, const UnknownNumberingScheme &s, IntArray *dofIds=NULL)
virtual int	giveNumberOfDofs ()
virtual int	giveNumberOfInternalDofManagers () const
virtual DofManager *	giveInternalDofManager (int i) const
virtual void	setInternalDofManager (int num, std::unique_ptr< DofManager > dm)
virtual double	giveCharacteristicValue (CharType type, TimeStep *tStep)
virtual void	computeTangentFromSurfaceLoad (FloatMatrix &answer, BoundaryLoad load, int boundary, MatResponseMode rmode, TimeStep tStep)
virtual void	computeTangentFromEdgeLoad (FloatMatrix &answer, BoundaryLoad load, int boundary, MatResponseMode rmode, TimeStep tStep)
const IntArray &	giveBodyLoadList () const
const IntArray &	giveBoundaryLoadList () const
void	computeVectorOf (ValueModeType u, TimeStep *tStep, FloatArray &answer)
void	computeVectorOf (const IntArray &dofIDMask, ValueModeType u, TimeStep *tStep, FloatArray &answer, bool padding=false)
void	computeBoundaryVectorOf (const IntArray &bNodes, const IntArray &dofIDMask, ValueModeType u, TimeStep *tStep, FloatArray &answer, bool padding=false)
void	computeVectorOf (PrimaryField &field, const IntArray &dofIDMask, ValueModeType u, TimeStep *tStep, FloatArray &answer, bool padding=false)
void	computeVectorOfPrescribed (ValueModeType u, TimeStep *tStep, FloatArray &answer)
void	computeVectorOfPrescribed (const IntArray &dofIDMask, ValueModeType type, TimeStep *tStep, FloatArray &answer)
virtual int	computeNumberOfGlobalDofs ()
int	computeNumberOfPrimaryMasterDofs ()
virtual bool	computeGtoLRotationMatrix (FloatMatrix &answer)
virtual bool	giveRotationMatrix (FloatMatrix &answer)
virtual bool	computeDofTransformationMatrix (FloatMatrix &answer, const IntArray &nodes, bool includeInternal)
virtual void	giveInternalDofManDofIDMask (int inode, IntArray &answer) const
virtual void	giveElementDofIDMask (IntArray &answer) const
virtual double	computeVolumeAround (GaussPoint *gp)
virtual double	computeVolumeAreaOrLength ()
	Computes the volume, area or length of the element depending on its spatial dimension.
double	computeMeanSize ()
virtual double	computeVolume ()
virtual double	computeArea ()
virtual double	computeLength ()
virtual IntArray	giveBoundaryEdgeNodes (int boundary, bool includeHierarchical=false) const
virtual IntArray	giveBoundarySurfaceNodes (int boundary, bool includeHierarchical=false) const
virtual IntArray	giveBoundaryNodes (int boundary) const
virtual std::unique_ptr< IntegrationRule >	giveBoundaryEdgeIntegrationRule (int order, int boundary)
virtual std::unique_ptr< IntegrationRule >	giveBoundarySurfaceIntegrationRule (int order, int boundary)
int	giveDofManagerNumber (int i) const
const IntArray &	giveDofManArray () const
void	addDofManager (DofManager *dMan)
DofManager *	giveDofManager (int i) const
Node *	giveNode (int i) const
virtual ElementSide *	giveSide (int i) const
virtual FEInterpolation *	giveInterpolation () const
virtual FEInterpolation *	giveInterpolation (DofIDItem id) const
virtual const FEInterpolation *	getGeometryInterpolation () const
virtual Material *	giveMaterial ()
int	giveMaterialNumber () const
CrossSection *	giveCrossSection ()
int	getActivityTimeFunctionNumber ()
void	setActivityTimeFunctionNumber (int funcIndx)
void	setMaterial (int matIndx)
virtual void	setCrossSection (int csIndx)
virtual int	giveNumberOfDofManagers () const
void	setNumberOfDofManagers (int i)
	Sets number of element dof managers.
void	setDofManagers (const IntArray &dmans)
void	setDofManager (int id, int dm)
void	setBodyLoads (const IntArray &bodyLoads)
void	setIntegrationRules (std ::vector< std ::unique_ptr< IntegrationRule > > irlist)
virtual integrationDomain	giveIntegrationDomain () const
virtual MaterialMode	giveMaterialMode ()
virtual int	giveIntegrationRuleLocalCodeNumbers (IntArray &answer, IntegrationRule &ie)
int	giveRegionNumber ()
virtual void	initializeYourself (TimeStep *timeStepWhenICApply)
virtual bool	isActivated (TimeStep *tStep)
virtual bool	isCast (TimeStep *tStep)
virtual void	initForNewStep ()
virtual Element_Geometry_Type	giveEdgeGeometryType (int id) const
	Returns the receiver edge geometry type.
virtual Element_Geometry_Type	giveSurfaceGeometryType (int id) const
	Returns the receiver surface geometry type.
virtual int	giveSpatialDimension ()
virtual int	giveNumberOfBoundarySides ()
	Returns number of boundaries (entities of element_dimension-1: points, edges, surfaces).
virtual int	giveNumberOfEdges () const
virtual int	giveNumberOfSurfaces () const
virtual int	giveDefaultIntegrationRule () const
virtual IntegrationRule *	giveDefaultIntegrationRulePtr ()
int	giveNumberOfIntegrationRules ()
virtual IntegrationRule *	giveIntegrationRule (int i)
std::vector< std ::unique_ptr< IntegrationRule > > &	giveIntegrationRulesArray ()
int	giveGlobalIPValue (FloatArray &answer, GaussPoint gp, InternalStateType type, TimeStep tStep)
virtual double	giveLengthInDir (const FloatArray &normalToCrackPlane)
virtual double	giveCharacteristicLength (const FloatArray &normalToCrackPlane)
double	giveCharacteristicLengthForPlaneElements (const FloatArray &normalToCrackPlane)
double	giveCharacteristicLengthForAxisymmElements (const FloatArray &normalToCrackPlane)
virtual double	giveCharacteristicSize (GaussPoint *gp, FloatArray &normalToCrackPlane, ElementCharSizeMethod method)
virtual double	giveParentElSize () const
virtual int	computeGlobalCoordinates (FloatArray &answer, const FloatArray &lcoords)
virtual bool	computeLocalCoordinates (FloatArray &answer, const FloatArray &gcoords)
virtual int	giveLocalCoordinateSystem (FloatMatrix &answer)
virtual void	giveLocalCoordinateSystemVector (InternalStateType isttype, FloatArray &answer)
virtual void	computeMidPlaneNormal (FloatArray &answer, const GaussPoint *gp)
virtual int	adaptiveMap (Domain oldd, TimeStep tStep)
virtual int	mapStateVariables (Domain &iOldDom, const TimeStep &iTStep)
virtual int	adaptiveFinish (TimeStep *tStep)
void	updateLocalNumbering (EntityRenumberingFunctor &f) override
template<class T>
void	ipEvaluator (T src, void(T ::f)(GaussPoint *gp))
	Integration point evaluator, loops over receiver IP's and calls given function (passed as f parameter) on them. The IP is parameter to function f.
template<class T, class S>
void	ipEvaluator (T src, void(T ::f)(GaussPoint *, S &), S &_val)
	Integration point evaluator, loops over receiver IP's and calls given function (passed as f parameter) on them. The IP is parameter to function f as well as additional array.
virtual void	drawYourself (oofegGraphicContext &gc, TimeStep *tStep)
virtual void	drawAnnotation (oofegGraphicContext &gc, TimeStep *tStep)
virtual void	drawRawGeometry (oofegGraphicContext &gc, TimeStep *tStep)
virtual void	drawDeformedGeometry (oofegGraphicContext &gc, TimeStep *tStep, UnknownType)
virtual void	drawScalar (oofegGraphicContext &gc, TimeStep *tStep)
virtual void	drawSpecial (oofegGraphicContext &gc, TimeStep *tStep)
virtual void	giveLocalIntVarMaxMin (oofegGraphicContext &gc, TimeStep *tStep, double &emin, double &emax)
virtual int	giveInternalStateAtSide (FloatArray &answer, InternalStateType type, InternalStateMode mode, int side, TimeStep *tStep)
int	giveLabel () const
int	giveGlobalNumber () const
void	setGlobalNumber (int num)
elementParallelMode	giveParallelMode () const
void	setParallelMode (elementParallelMode _mode)
	Sets parallel mode of element.
virtual elementParallelMode	giveKnotSpanParallelMode (int) const
int	packUnknowns (DataStream &buff, TimeStep *tStep)
int	unpackAndUpdateUnknowns (DataStream &buff, TimeStep *tStep)
int	estimatePackSize (DataStream &buff)
const IntArray *	givePartitionList () const
void	setPartitionList (IntArray &pl)
virtual double	predictRelativeComputationalCost ()
virtual double	giveRelativeSelfComputationalCost ()
virtual double	predictRelativeRedistributionCost ()
IntArray *	giveBodyLoadArray ()
	Returns array containing load numbers of loads acting on element.
IntArray *	giveBoundaryLoadArray ()
	Returns array containing load numbers of boundary loads acting on element.
void	initializeFrom (InputRecord &ir, int priority) override
void	initializeFinish () override
void	saveContext (DataStream &stream, ContextMode mode) override
void	restoreContext (DataStream &stream, ContextMode mode) override
void	printOutputAt (FILE file, TimeStep tStep) override
virtual const IntArray	giveLocation ()
virtual void	recalculateCoordinates (int nodeNumber, FloatArray &coords)
void	setSharedEdgeID (int iedge, int globalID)
void	setSharedSurfaceID (int isurf, int globalID)
const IntArray *	giveSharedEdgeIDs () const
const IntArray *	giveSharedSurfaceIDs () const
Public Member Functions inherited from oofem::FEMComponent
	FEMComponent (int n, Domain *d)
virtual	~FEMComponent ()=default
	Virtual destructor.
Domain *	giveDomain () const
virtual void	setDomain (Domain *d)
int	giveNumber () const
void	setNumber (int num)
virtual void	initializeFrom (InputRecord &ir)
virtual void	printYourself ()
	Prints receiver state on stdout. Useful for debugging.
virtual Interface *	giveInterface (InterfaceType t)
std::string	errorInfo (const char *func) const
	Returns string for prepending output (used by error reporting macros).

Protected Member Functions
void	computeBmatrixAt (GaussPoint *gp, FloatMatrix &answer, int, int) override
void	computeNmatrixAt (const FloatArray &iLocCoord, FloatMatrix &answer) override
void	computeStiffnessMatrix (FloatMatrix &answer, MatResponseMode rMode, TimeStep *tStep) override
double	computeVolumeAroundSide (GaussPoint *gp, int elemSideNumber)
Node *	giveSideNode (int elementSideNumber, int nodeNumber)
double	giveSideLength (int sideNumber)
int	computeNumberOfDofs () override
void	computeGaussPoints () override
void	giveDofManDofIDMask (int inode, IntArray &) const override
virtual StructuralElement *	giveStructuralElement ()
void	computeStrainVector (FloatArray &answer, GaussPoint gp, TimeStep tStep) override
void	computeStressVector (FloatArray &answer, const FloatArray &strain, GaussPoint gp, TimeStep tStep) override
void	computeConstitutiveMatrixAt (FloatMatrix &answer, MatResponseMode rMode, GaussPoint gp, TimeStep tStep) override
void	giveInternalForcesVector (FloatArray &answer, TimeStep *tStep, int useUpdatedGpRecord) override
void	computePuVectorAt (FloatArray &answer, FloatMatrix N, FloatArray u, GaussPoint *gp, int sideNumber)
void	computePsVectorAt (FloatArray &answer, FloatArray t, GaussPoint *gp)
void	computePrescribedDisplacementLoadVectorAt (FloatArray &answer, TimeStep *tStep, ValueModeType mode)
int	testElementExtension (ElementExtension ext) override
void	computeFMatrixAt (FloatMatrix &answer, FloatMatrix N, GaussPoint *gp, int sideNumber)
void	computeAMatrixAt (FloatMatrix &answer, FloatMatrix N, GaussPoint *gp, int sideNumber)
void	computeUvMatrixAt (FloatMatrix &answer, GaussPoint *gp, int sideNubmer)
void	computeSvMatrixAt (FloatMatrix &answer, GaussPoint *gp, int sideNumber)
void	computeUgammaMatrixAt (FloatMatrix &answer, GaussPoint *gp)
void	computeOutwardNormalMatrix (FloatMatrix &answer, int sideNumber)
void	computeCenterOfGravity ()
int	giveNumberOfNodes () const override
void	uv1 (FloatArray &answer, double x, double y)
void	uv2 (FloatArray &answer, double x, double y)
void	uv3 (FloatArray &answer, double x, double y)
void	uv4 (FloatArray &answer, double x, double y)
void	uv5 (FloatArray &answer, double x, double y)
void	uv6 (FloatArray &answer, double x, double y)
void	uv7 (FloatArray &answer, double x, double y)
void	uv8 (FloatArray &answer, double x, double y)
void	uv9 (FloatArray &answer, double x, double y)
void	uv10 (FloatArray &answer, double x, double y)
void	uv11 (FloatArray &answer, double x, double y)
void	uv12 (FloatArray &answer, double x, double y)
void	uv25_4 (FloatArray &answer, double x, double y)
void	sv1 (FloatArray &answer, double x, double y)
void	sv2 (FloatArray &answer, double x, double y)
void	sv3 (FloatArray &answer, double x, double y)
void	sv4 (FloatArray &answer, double x, double y)
void	sv5 (FloatArray &answer, double x, double y)
void	sv6 (FloatArray &answer, double x, double y)
void	sv7 (FloatArray &answer, double x, double y)
void	sv8 (FloatArray &answer, double x, double y)
void	sv9 (FloatArray &answer, double x, double y)
void	sv10 (FloatArray &answer, double x, double y)
void	sv11 (FloatArray &answer, double x, double y)
void	sv12 (FloatArray &answer, double x, double y)
void	sv25_4 (FloatArray &answer, double x, double y)
double	u_gammaConst (GaussPoint *gp)
double	u_gammaLin (GaussPoint *gp)
virtual void	computePointLoadVectorAt (FloatArray &answer, Load load, TimeStep tStep, ValueModeType mode, bool global=true)
virtual void	giveEdgeDofMapping (IntArray &answer, int iEdge) const
virtual void	giveSurfaceDofMapping (IntArray &answer, int iSurf) const
virtual double	computeEdgeVolumeAround (GaussPoint *gp, int iEdge)
virtual double	computeSurfaceVolumeAround (GaussPoint *gp, int iSurf)
virtual int	computeLoadGToLRotationMtrx (FloatMatrix &answer)
virtual int	computeLoadLEToLRotationMatrix (FloatMatrix &answer, int iEdge, GaussPoint *gp)
virtual int	computeLoadLSToLRotationMatrix (FloatMatrix &answer, int iSurf, GaussPoint *gp)
virtual int	giveNumberOfIPForMassMtrxIntegration ()
void	condense (FloatMatrix stiff, FloatMatrix mass, FloatArray load, IntArray what)
virtual void	setupIRForMassMtrxIntegration (IntegrationRule &iRule)
virtual void	computeBodyLoadVectorAt (FloatArray &answer, Load load, TimeStep tStep, ValueModeType mode)

Protected Attributes
int	numberOfEdges
double	lambda
double	mu
double	cgX
double	cgY
int	numberOfStressDofs
int	numberOfDofs
Protected Attributes inherited from oofem::StructuralElement
std::unique_ptr< FloatArray >	initialDisplacements
	Initial displacement vector, describes the initial nodal displacements when element has been casted.
Protected Attributes inherited from oofem::Element
int	numberOfDofMans
	Number of dofmanagers.
IntArray	dofManArray
	Array containing dofmanager numbers.
int	material
	Number of associated material.
int	crossSection
	Number of associated cross section.
IntArray	bodyLoadArray
IntArray	boundaryLoadArray
std::vector< std ::unique_ptr< IntegrationRule > >	integrationRulesArray
FloatMatrix	elemLocalCS
	Transformation material matrix, used in orthotropic and anisotropic materials, global->local transformation.
int	activityTimeFunction
	Element activity time function. If defined, nonzero value indicates active receiver, zero value inactive element.
int	globalNumber
int	numberOfGaussPoints
elementParallelMode	parallel_mode
	Determines the parallel mode of the element.
IntArray	partitions
IntArray	globalEdgeIDs
IntArray	globalSurfaceIDs
Protected Attributes inherited from oofem::FEMComponent
int	number
	Component number.
Domain *	domain
	Link to domain object, useful for communicating with other FEM components.

Additional Inherited Members
Static Public Attributes inherited from oofem::Element
static ParamKey	IPK_Element_mat
static ParamKey	IPK_Element_crosssect
static ParamKey	IPK_Element_nodes
static ParamKey	IPK_Element_bodyload
static ParamKey	IPK_Element_boundaryload
static ParamKey	IPK_Element_lcs
static ParamKey	IPK_Element_partitions
static ParamKey	IPK_Element_remote
static ParamKey	IPK_Element_activityTimeFunction
static ParamKey	IPK_Element_nip

Detailed Description

Implements a Hybrid-Trefftz element See http://en.wikipedia.org/wiki/Trefftz_method for description.

Author: Jan Novak (among others?)

Definition at line 49 of file htselement.h.

Constructor & Destructor Documentation

◆ HTSelement()

oofem::HTSelement::HTSelement	(	int	n,
		Domain *	d )

Definition at line 49 of file htselement.C.

References lambda, mu, oofem::Element::numberOfDofMans, numberOfDofs, numberOfEdges, numberOfStressDofs, and oofem::StructuralElement::StructuralElement().

◆ ~HTSelement()

virtual oofem::HTSelement::~HTSelement ( )

inlinevirtual

Definition at line 61 of file htselement.h.

Member Function Documentation

◆ computeAMatrixAt()

void oofem::HTSelement::computeAMatrixAt	(	FloatMatrix &	answer,
		FloatMatrix	N,
		GaussPoint *	gp,
		int	sideNumber )

protected

Definition at line 310 of file htselement.C.

References oofem::FloatMatrix::beProductOf(), oofem::FloatMatrix::beTProductOf(), computeSvMatrixAt(), computeUgammaMatrixAt(), N, and oofem::FloatMatrix::zero().

Referenced by computeStiffnessMatrix().

◆ computeBmatrixAt()

void oofem::HTSelement::computeBmatrixAt	(	GaussPoint *	gp,
		FloatMatrix &	answer,
		int	lowerIndx,
		int	upperIndx )

inlineoverrideprotectedvirtual

Computes the geometrical matrix of receiver in given integration point. The product of this matrix (assembled at given integration point) and element displacement vector is element strain vector. If lowerIndx and upperIndx parameters are specified, answer is formed only for strains within this interval. This will affects the size of answer.

Parameters

gp	Integration point for which answer is computed.
answer	Geometric matrix of receiver.
lowerIndx	If specified, answer is formed only for strain with index equal and greater than lowerIndx. This parameter has default value 1 (answer is formed from first strain).
upperIndx	If specified, answer is formed only for strain with index less and equal than upperIndx. This parameter has default value ALL_STRAINS (answer is formed for all strains).

Implements oofem::StructuralElement.

Definition at line 71 of file htselement.h.

◆ computeCenterOfGravity()

void oofem::HTSelement::computeCenterOfGravity ( )

protected

Definition at line 97 of file htselement.C.

References cgX, cgY, oofem::DofManager::giveCoordinate(), giveSideNode(), and numberOfEdges.

Referenced by postInitialize().

◆ computeConstitutiveMatrixAt()

void oofem::HTSelement::computeConstitutiveMatrixAt	(	FloatMatrix &	answer,
		MatResponseMode	rMode,
		GaussPoint *	gp,
		TimeStep *	tStep )

inlineoverrideprotectedvirtual

Computes constitutive matrix of receiver. Default implementation uses element cross section giveCharMaterialStiffnessMatrix service.

Parameters

answer	Constitutive matrix.
rMode	Material response mode of answer.
gp	Integration point for which constitutive matrix is computed.
tStep	Time step.

Implements oofem::StructuralElement.

Definition at line 85 of file htselement.h.

References OOFEM_ERROR.

◆ computeFMatrixAt()

void oofem::HTSelement::computeFMatrixAt	(	FloatMatrix &	answer,
		FloatMatrix	N,
		GaussPoint *	gp,
		int	sideNumber )

protected

Definition at line 294 of file htselement.C.

References oofem::FloatMatrix::beProductOf(), oofem::FloatMatrix::beTProductOf(), computeSvMatrixAt(), computeUvMatrixAt(), N, and oofem::FloatMatrix::zero().

Referenced by computeStiffnessMatrix().

◆ computeGaussPoints()

void oofem::HTSelement::computeGaussPoints ( )

overrideprotectedvirtual

Initializes the array of integration rules member variable. Element can have multiple integration rules for different tasks. For example structural element family class uses this feature to implement transparent support for reduced and selective integration of some strain components. Must be defined by terminator classes.

See also: IntegrationRule

Reimplemented from oofem::Element.

Definition at line 84 of file htselement.C.

References oofem::Element::integrationRulesArray, numberOfEdges, and oofem::Element::numberOfGaussPoints.

◆ computeNmatrixAt()

void oofem::HTSelement::computeNmatrixAt	(	const FloatArray &	iLocCoord,
		FloatMatrix &	answer )

inlineoverrideprotectedvirtual

Computes interpolation matrix for element unknowns. The order and meaning of unknowns is element dependent.

Parameters

iLocCoord	Local coordinates.
answer	Interpolation matrix evaluated at gp.

Reimplemented from oofem::StructuralElement.

Definition at line 72 of file htselement.h.

◆ computeNumberOfDofs()

int oofem::HTSelement::computeNumberOfDofs ( )

inlineoverrideprotectedvirtual

Computes or simply returns total number of element's local DOFs. Must be defined by particular element.

Returns: Number of local DOFs of element.

Reimplemented from oofem::Element.

Definition at line 77 of file htselement.h.

References numberOfEdges.

◆ computeOutwardNormalMatrix()

void oofem::HTSelement::computeOutwardNormalMatrix	(	FloatMatrix &	answer,
		int	sideNumber )

protected

Definition at line 275 of file htselement.C.

References oofem::FloatMatrix::at(), giveSideNode(), oofem::norm(), oofem::FloatMatrix::resize(), oofem::FloatMatrix::times(), and oofem::FloatMatrix::zero().

Referenced by computePrescribedDisplacementLoadVectorAt(), and computeStiffnessMatrix().

◆ computePrescribedDisplacementLoadVectorAt()

void oofem::HTSelement::computePrescribedDisplacementLoadVectorAt	(	FloatArray &	answer,
		TimeStep *	tStep,
		ValueModeType	mode )

protected

Definition at line 228 of file htselement.C.

References oofem::FloatArray::add(), oofem::FloatArray::beProductOf(), oofem::FloatArray::clear(), computeOutwardNormalMatrix(), computePuVectorAt(), computeStiffnessMatrix(), oofem::Element::computeVectorOf(), computeVolumeAroundSide(), oofem::FloatArray::containsOnlyZeroes(), oofem::Element::giveIntegrationRule(), N, oofem::FloatArray::negated(), numberOfDofs, numberOfEdges, and oofem::FloatArray::resize().

◆ computePsVectorAt()

void oofem::HTSelement::computePsVectorAt	(	FloatArray &	answer,
		FloatArray	t,
		GaussPoint *	gp )

protected

Definition at line 217 of file htselement.C.

References oofem::FloatArray::beTProductOf(), computeUgammaMatrixAt(), and oofem::FloatArray::zero().

◆ computePuVectorAt()

void oofem::HTSelement::computePuVectorAt	(	FloatArray &	answer,
		FloatMatrix	N,
		FloatArray	u,
		GaussPoint *	gp,
		int	sideNumber )

protected

Definition at line 204 of file htselement.C.

References oofem::FloatMatrix::beProductOf(), computeSvMatrixAt(), N, and oofem::FloatArray::zero().

Referenced by computePrescribedDisplacementLoadVectorAt().

◆ computeStiffnessMatrix()

void oofem::HTSelement::computeStiffnessMatrix	(	FloatMatrix &	answer,
		MatResponseMode	rMode,
		TimeStep *	tStep )

overrideprotectedvirtual

Computes numerically stiffness matrix of receiver. Default implementation computes element stiffness using \( K=\int_v B^{\mathrm{T}} D B \mathrm{d}V \) formulae, where \( B \) is element geometric matrix and \( D \) is material stiffness matrix. No geometrical nonlinearity is taken into account. NUmerical integration procedure uses integrationRulesArray for numerical integration. Support for reduced or selected integration is implemented. The individual integration rules are assumed to correspond to different terms from which the overall matrix is assembled.

If there is one integration rule, the full integration of all coefficients is performed. Otherwise, integration is performed using following rules. Each integration rule can specify start and end strain index of strain vector components for which is valid. It is necessary to ensure that these start and end indexes, dividing geometrical matrix into blocks, are not overlapping and that each strain component is included.

Then stiffness matrix is obtained as summation of integrals \( I_{ij}=\int_v B^{\mathrm{T}}_i D_{ij} B_j \mathrm{d}V \) where \( B_i \) is i-th block of geometrical matrix and \( D_{ij} \) is corresponding constitutive sub-matrix. The geometrical matrix is obtained using computeBmatrixAt service and the constitutive matrix is obtained using computeConstitutiveMatrixAt service. The \( I_{ij} \) integral is evaluated using such integration rule, which is valid for i-th or j-th block and has smaller number of integration points.

For higher numerical performance, only one half of stiffness matrix is computed and answer is then symmetrized. Therefore, if element matrix will be generally nonsymmetric, one must specialize this method. Finally, the result is transformed into global coordinate system (or nodal coordinate system, if it is defined).

Parameters

answer	Computed stiffness matrix (symmetric).
rMode	Response mode.
tStep	Time step.

Reimplemented from oofem::StructuralElement.

Definition at line 163 of file htselement.C.

References oofem::FloatMatrix::add(), oofem::FloatMatrix::beInverseOf(), oofem::FloatMatrix::beProductOf(), oofem::FloatMatrix::beTProductOf(), computeAMatrixAt(), computeFMatrixAt(), computeOutwardNormalMatrix(), computeVolumeAroundSide(), oofem::Element::giveIntegrationRule(), N, numberOfDofs, numberOfEdges, numberOfStressDofs, oofem::FloatMatrix::resize(), oofem::FloatMatrix::times(), and oofem::FloatMatrix::zero().

Referenced by computePrescribedDisplacementLoadVectorAt().

◆ computeStrainVector()

void oofem::HTSelement::computeStrainVector	(	FloatArray &	answer,
		GaussPoint *	gp,
		TimeStep *	tStep )

inlineoverrideprotectedvirtual

Compute strain vector of receiver evaluated at given integration point at given time step from element displacement vector. The nature of strain vector depends on the element type.

Parameters

answer	Requested strain vector.
gp	Integration point where to calculate the strain.
tStep	Time step.

Reimplemented from oofem::StructuralElement.

Definition at line 82 of file htselement.h.

References numberOfStressDofs, and oofem::FloatArray::resize().

◆ computeStressVector()

void oofem::HTSelement::computeStressVector	(	FloatArray &	answer,
		const FloatArray &	strain,
		GaussPoint *	gp,
		TimeStep *	tStep )

inlineoverrideprotectedvirtual

Computes the stress vector of receiver at given integration point, at time step tStep. The nature of these stresses depends on the element's type.

Parameters

answer	Stress vector.
strain	Strain vector.
gp	Integration point.
tStep	Time step.

Implements oofem::StructuralElement.

Definition at line 84 of file htselement.h.

References numberOfStressDofs, and oofem::FloatArray::resize().

◆ computeSvMatrixAt()

void oofem::HTSelement::computeSvMatrixAt	(	FloatMatrix &	answer,
		GaussPoint *	gp,
		int	sideNumber )

protected

Definition at line 395 of file htselement.C.

References oofem::FloatMatrix::beTranspositionOf(), cgX, cgY, oofem::GaussPoint::giveNaturalCoordinate(), giveSideNode(), numberOfStressDofs, oofem::FloatArray::resize(), oofem::FloatMatrix::resize(), sv1(), sv10(), sv11(), sv12(), sv25_4(), sv3(), sv4(), sv5(), sv6(), sv7(), sv8(), and sv9().

Referenced by computeAMatrixAt(), computeFMatrixAt(), and computePuVectorAt().

◆ computeUgammaMatrixAt()

void oofem::HTSelement::computeUgammaMatrixAt	(	FloatMatrix &	answer,
		GaussPoint *	gp )

protected

Definition at line 484 of file htselement.C.

References oofem::FloatMatrix::beTranspositionOf(), u_gammaConst(), u_gammaLin(), and oofem::FloatMatrix::zero().

Referenced by computeAMatrixAt(), and computePsVectorAt().

◆ computeUvMatrixAt()

void oofem::HTSelement::computeUvMatrixAt	(	FloatMatrix &	answer,
		GaussPoint *	gp,
		int	sideNubmer )

protected

Definition at line 324 of file htselement.C.

References oofem::FloatMatrix::beTranspositionOf(), cgX, cgY, oofem::GaussPoint::giveNaturalCoordinate(), giveSideNode(), numberOfStressDofs, oofem::FloatArray::resize(), uv1(), uv10(), uv11(), uv12(), uv25_4(), uv3(), uv4(), uv5(), uv6(), uv7(), uv8(), and uv9().

Referenced by computeFMatrixAt().

◆ computeVolumeAroundSide()

double oofem::HTSelement::computeVolumeAroundSide	(	GaussPoint *	gp,
		int	elemSideNumber )

protected

Definition at line 141 of file htselement.C.

References giveSideLength(), and oofem::GaussPoint::giveWeight().

Referenced by computePrescribedDisplacementLoadVectorAt(), and computeStiffnessMatrix().

◆ giveClassName()

const char * oofem::HTSelement::giveClassName ( ) const

inlineoverridevirtual

Returns: Class name of the receiver.

Reimplemented from oofem::Element.

Definition at line 66 of file htselement.h.

◆ giveDofManDofIDMask()

void oofem::HTSelement::giveDofManDofIDMask	(	int	inode,
		IntArray &	answer ) const

overrideprotectedvirtual

Returns dofmanager dof mask for node. This mask defines the dofs which are used by element in node. Mask influences the code number ordering for particular node. Code numbers are ordered according to node order and dofs belonging to particular node are ordered according to this mask. If element requests dofs using node mask which are not in node then error is generated. This masking allows node to be shared by different elements with different dofs in same node. Elements local code numbers are extracted from node using this mask. Must be defined by particular element.

Parameters

inode	Mask is computed for local dofmanager with inode number.
answer	Mask for node.

Reimplemented from oofem::Element.

Definition at line 63 of file htselement.C.

References oofem::IntArray::clear(), and numberOfEdges.

◆ giveGeometryType()

Element_Geometry_Type oofem::HTSelement::giveGeometryType ( ) const

inlineoverridevirtual

Returns the element geometry type. This information is assumed to be of general interest, but it is required only for some specialized tasks.

Returns: Geometry type of element.

Implements oofem::Element.

Definition at line 67 of file htselement.h.

◆ giveInputRecordName()

const char * oofem::HTSelement::giveInputRecordName ( ) const

inlineoverridevirtual

Returns: Input record name of the receiver.

Implements oofem::FEMComponent.

Definition at line 65 of file htselement.h.

References _IFT_HTSelement_Name.

◆ giveInternalForcesVector()

void oofem::HTSelement::giveInternalForcesVector	(	FloatArray &	answer,
		TimeStep *	tStep,
		int	useUpdatedGpRecord )

inlineoverrideprotectedvirtual

Returns equivalent nodal forces vectors. Useful for nonlinear analysis. Default implementation computes result as \( F=\int_v B^{\mathrm{T}} \sigma \mathrm{d}V \), where \( \sigma \) is the real element stress vector obtained using computeStressVector service (if useUpdatedGpRecord=0) or (if useUpdatedGpRecord=1) from integration point status. The geometric matrix is obtained using computeBmatrixAt service. Integration is performed using default integration rule, which should produce always valid results, assuming that strains used for computation of stresses are valid.

Parameters

answer	Internal nodal forces vector.
tStep	Time step.
useUpdatedGpRecord	If equal to zero, the stresses in integration points are computed (slow but safe), else if nonzero the stresses are taken directly from integration point status (should be derived from StructuralMaterialStatus) (fast, but engineering model must ensure valid status data in each integration point).

Reimplemented from oofem::StructuralElement.

Definition at line 89 of file htselement.h.

References numberOfDofs, and oofem::FloatArray::resize().

◆ giveNumberOfNodes()

int oofem::HTSelement::giveNumberOfNodes ( ) const

inlineoverrideprotectedvirtual

Returns number of nodes of receiver. Default implementation returns number of dofmanagers of element

Returns: Number of nodes of element.

Reimplemented from oofem::Element.

Definition at line 104 of file htselement.h.

References numberOfEdges.

◆ giveSideLength()

double oofem::HTSelement::giveSideLength ( int sideNumber )

protected

Definition at line 149 of file htselement.C.

References oofem::DofManager::giveCoordinate(), and giveSideNode().

Referenced by computeVolumeAroundSide().

◆ giveSideNode()

Node * oofem::HTSelement::giveSideNode	(	int	elementSideNumber,
		int	nodeNumber )

protected

Definition at line 122 of file htselement.C.

References oofem::Element::giveNode(), and numberOfEdges.

Referenced by computeCenterOfGravity(), computeOutwardNormalMatrix(), computeSvMatrixAt(), computeUvMatrixAt(), and giveSideLength().

◆ giveStructuralElement()

virtual StructuralElement * oofem::HTSelement::giveStructuralElement ( )

inlineprotectedvirtual

Definition at line 80 of file htselement.h.

References oofem::StructuralElement::StructuralElement().

◆ postInitialize()

void oofem::HTSelement::postInitialize ( )

overridevirtual

Performs post initialization steps.

Reimplemented from oofem::Element.

Definition at line 75 of file htselement.C.

References computeCenterOfGravity(), and oofem::Element::numberOfGaussPoints.

◆ sv1()

void oofem::HTSelement::sv1	(	FloatArray &	answer,
		double	x,
		double	y )

protected

Definition at line 537 of file htselement.C.

References lambda, and mu.

Referenced by computeSvMatrixAt().

◆ sv10()

void oofem::HTSelement::sv10	(	FloatArray &	answer,
		double	x,
		double	y )

protected

Definition at line 665 of file htselement.C.

References lambda, and mu.

Referenced by computeSvMatrixAt().

◆ sv11()

void oofem::HTSelement::sv11	(	FloatArray &	answer,
		double	x,
		double	y )

protected

Definition at line 673 of file htselement.C.

References lambda, and mu.

Referenced by computeSvMatrixAt().

◆ sv12()

void oofem::HTSelement::sv12	(	FloatArray &	answer,
		double	x,
		double	y )

protected

Definition at line 681 of file htselement.C.

References lambda, and mu.

Referenced by computeSvMatrixAt().

◆ sv2()

void oofem::HTSelement::sv2	(	FloatArray &	answer,
		double	x,
		double	y )

protected

Definition at line 545 of file htselement.C.

References mu.

◆ sv25_4()

void oofem::HTSelement::sv25_4	(	FloatArray &	answer,
		double	x,
		double	y )

protected

Definition at line 880 of file htselement.C.

References mu.

Referenced by computeSvMatrixAt().

◆ sv3()

void oofem::HTSelement::sv3	(	FloatArray &	answer,
		double	x,
		double	y )

protected

Definition at line 553 of file htselement.C.

References mu.

Referenced by computeSvMatrixAt().

◆ sv4()

void oofem::HTSelement::sv4	(	FloatArray &	answer,
		double	x,
		double	y )

protected

Definition at line 561 of file htselement.C.

References lambda, and mu.

Referenced by computeSvMatrixAt().

◆ sv5()

void oofem::HTSelement::sv5	(	FloatArray &	answer,
		double	x,
		double	y )

protected

Definition at line 597 of file htselement.C.

References lambda, and mu.

Referenced by computeSvMatrixAt().

◆ sv6()

void oofem::HTSelement::sv6	(	FloatArray &	answer,
		double	x,
		double	y )

protected

Definition at line 605 of file htselement.C.

References lambda, and mu.

Referenced by computeSvMatrixAt().

◆ sv7()

void oofem::HTSelement::sv7	(	FloatArray &	answer,
		double	x,
		double	y )

protected

Definition at line 613 of file htselement.C.

References lambda, and mu.

Referenced by computeSvMatrixAt().

◆ sv8()

void oofem::HTSelement::sv8	(	FloatArray &	answer,
		double	x,
		double	y )

protected

Definition at line 621 of file htselement.C.

References lambda, and mu.

Referenced by computeSvMatrixAt().

◆ sv9()

void oofem::HTSelement::sv9	(	FloatArray &	answer,
		double	x,
		double	y )

protected

Definition at line 657 of file htselement.C.

References lambda, and mu.

Referenced by computeSvMatrixAt().

◆ testElementExtension()

int oofem::HTSelement::testElementExtension ( ElementExtension ext )

inlineoverrideprotectedvirtual

Tests if the element implements required extension. ElementExtension type defines the list of all available element extensions.

Parameters

ext	Extension to be tested.

Returns: Nonzero if extension supported.

See also: ElementExtension

Reimplemented from oofem::Element.

Definition at line 94 of file htselement.h.

References oofem::Element_EdgeLoadSupport.

◆ u_gammaConst()

double oofem::HTSelement::u_gammaConst ( GaussPoint * gp )

protected

Definition at line 890 of file htselement.C.

Referenced by computeUgammaMatrixAt().

◆ u_gammaLin()

double oofem::HTSelement::u_gammaLin ( GaussPoint * gp )

protected

Definition at line 896 of file htselement.C.

References oofem::GaussPoint::giveNaturalCoordinate().

Referenced by computeUgammaMatrixAt().

◆ uv1()

void oofem::HTSelement::uv1	(	FloatArray &	answer,
		double	x,
		double	y )

protected

Definition at line 509 of file htselement.C.

Referenced by computeUvMatrixAt().

◆ uv10()

void oofem::HTSelement::uv10	(	FloatArray &	answer,
		double	x,
		double	y )

protected

Definition at line 636 of file htselement.C.

References lambda, and mu.

Referenced by computeUvMatrixAt().

◆ uv11()

void oofem::HTSelement::uv11	(	FloatArray &	answer,
		double	x,
		double	y )

protected

Definition at line 643 of file htselement.C.

References lambda, and mu.

Referenced by computeUvMatrixAt().

◆ uv12()

void oofem::HTSelement::uv12	(	FloatArray &	answer,
		double	x,
		double	y )

protected

Definition at line 650 of file htselement.C.

References lambda, and mu.

Referenced by computeUvMatrixAt().

◆ uv2()

void oofem::HTSelement::uv2	(	FloatArray &	answer,
		double	x,
		double	y )

protected

Definition at line 516 of file htselement.C.

◆ uv25_4()

void oofem::HTSelement::uv25_4	(	FloatArray &	answer,
		double	x,
		double	y )

protected

Definition at line 873 of file htselement.C.

Referenced by computeUvMatrixAt().

◆ uv3()

void oofem::HTSelement::uv3	(	FloatArray &	answer,
		double	x,
		double	y )

protected

Definition at line 523 of file htselement.C.

Referenced by computeUvMatrixAt().

◆ uv4()

void oofem::HTSelement::uv4	(	FloatArray &	answer,
		double	x,
		double	y )

protected

Definition at line 530 of file htselement.C.

Referenced by computeUvMatrixAt().

◆ uv5()

void oofem::HTSelement::uv5	(	FloatArray &	answer,
		double	x,
		double	y )

protected

Definition at line 569 of file htselement.C.

References lambda, and mu.

Referenced by computeUvMatrixAt().

◆ uv6()

void oofem::HTSelement::uv6	(	FloatArray &	answer,
		double	x,
		double	y )

protected

Definition at line 576 of file htselement.C.

References lambda, and mu.

Referenced by computeUvMatrixAt().

◆ uv7()

void oofem::HTSelement::uv7	(	FloatArray &	answer,
		double	x,
		double	y )

protected

Definition at line 583 of file htselement.C.

References lambda, and mu.

Referenced by computeUvMatrixAt().

◆ uv8()

void oofem::HTSelement::uv8	(	FloatArray &	answer,
		double	x,
		double	y )

protected

Definition at line 590 of file htselement.C.

References lambda, and mu.

Referenced by computeUvMatrixAt().

◆ uv9()

void oofem::HTSelement::uv9	(	FloatArray &	answer,
		double	x,
		double	y )

protected

Definition at line 629 of file htselement.C.

References lambda, and mu.

Referenced by computeUvMatrixAt().

Member Data Documentation

◆ cgX

double oofem::HTSelement::cgX

protected

Definition at line 55 of file htselement.h.

Referenced by computeCenterOfGravity(), computeSvMatrixAt(), and computeUvMatrixAt().

◆ cgY

double oofem::HTSelement::cgY

protected

Definition at line 55 of file htselement.h.

Referenced by computeCenterOfGravity(), computeSvMatrixAt(), and computeUvMatrixAt().

◆ lambda

double oofem::HTSelement::lambda

protected

Definition at line 54 of file htselement.h.

Referenced by HTSelement(), sv1(), sv10(), sv11(), sv12(), sv4(), sv5(), sv6(), sv7(), sv8(), sv9(), uv10(), uv11(), uv12(), uv5(), uv6(), uv7(), uv8(), and uv9().

◆ mu

double oofem::HTSelement::mu

protected

Definition at line 54 of file htselement.h.

Referenced by HTSelement(), sv1(), sv10(), sv11(), sv12(), sv2(), sv25_4(), sv3(), sv4(), sv5(), sv6(), sv7(), sv8(), sv9(), uv10(), uv11(), uv12(), uv5(), uv6(), uv7(), uv8(), and uv9().

◆ numberOfDofs

int oofem::HTSelement::numberOfDofs

protected

Definition at line 57 of file htselement.h.

Referenced by computePrescribedDisplacementLoadVectorAt(), computeStiffnessMatrix(), giveInternalForcesVector(), and HTSelement().

◆ numberOfEdges

int oofem::HTSelement::numberOfEdges

protected

Definition at line 52 of file htselement.h.

Referenced by computeCenterOfGravity(), computeGaussPoints(), computeNumberOfDofs(), computePrescribedDisplacementLoadVectorAt(), computeStiffnessMatrix(), giveDofManDofIDMask(), giveNumberOfNodes(), giveSideNode(), and HTSelement().

◆ numberOfStressDofs

int oofem::HTSelement::numberOfStressDofs

protected

Definition at line 56 of file htselement.h.

Referenced by computeStiffnessMatrix(), computeStrainVector(), computeStressVector(), computeSvMatrixAt(), computeUvMatrixAt(), and HTSelement().

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

Public Member Functions

Protected Member Functions

Protected Attributes

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ HTSelement()

◆ ~HTSelement()

Member Function Documentation

◆ computeAMatrixAt()

◆ computeBmatrixAt()

◆ computeCenterOfGravity()

◆ computeConstitutiveMatrixAt()

◆ computeFMatrixAt()

◆ computeGaussPoints()

◆ computeNmatrixAt()

◆ computeNumberOfDofs()

◆ computeOutwardNormalMatrix()

◆ computePrescribedDisplacementLoadVectorAt()

◆ computePsVectorAt()

◆ computePuVectorAt()

◆ computeStiffnessMatrix()

◆ computeStrainVector()

◆ computeStressVector()

◆ computeSvMatrixAt()

◆ computeUgammaMatrixAt()

◆ computeUvMatrixAt()

◆ computeVolumeAroundSide()

◆ giveClassName()

◆ giveDofManDofIDMask()

◆ giveGeometryType()

◆ giveInputRecordName()

◆ giveInternalForcesVector()

◆ giveNumberOfNodes()

◆ giveSideLength()

◆ giveSideNode()

◆ giveStructuralElement()

◆ postInitialize()

◆ sv1()

◆ sv10()

◆ sv11()

◆ sv12()

◆ sv2()

◆ sv25_4()

◆ sv3()

◆ sv4()

◆ sv5()

◆ sv6()

◆ sv7()

◆ sv8()

◆ sv9()

◆ testElementExtension()

◆ u_gammaConst()

◆ u_gammaLin()

◆ uv1()

◆ uv10()

◆ uv11()

◆ uv12()

◆ uv2()

◆ uv25_4()

◆ uv3()

◆ uv4()

◆ uv5()

◆ uv6()

◆ uv7()

◆ uv8()

◆ uv9()

Member Data Documentation

◆ cgX

◆ cgY

◆ lambda

◆ mu

◆ numberOfDofs

◆ numberOfEdges

◆ numberOfStressDofs