This class implements a 2-dimensional Linear Isoparametric Mindlin theory beam element, with reduced integration. More...

#include <libeam2dnl.h>

Inheritance diagram for oofem::LIBeam2dNL:

Collaboration diagram for oofem::LIBeam2dNL:

Public Member Functions
	LIBeam2dNL (int n, Domain *d)

virtual	~LIBeam2dNL ()

virtual void	computeLumpedMassMatrix (FloatMatrix &answer, TimeStep *tStep)
	Computes lumped mass matrix of receiver. More...

virtual void	computeMassMatrix (FloatMatrix &answer, TimeStep *tStep)
	Computes mass matrix of receiver. More...

virtual bool	computeGtoLRotationMatrix (FloatMatrix &answer)
	Returns transformation matrix from global c.s. More...

virtual void	computeInitialStressMatrix (FloatMatrix &answer, TimeStep *tStep)
	Computes the initial stiffness matrix of receiver. More...

virtual int	computeGlobalCoordinates (FloatArray &answer, const FloatArray &lcoords)
	Computes the global coordinates from given element's local coordinates. More...

virtual void	computeStressVector (FloatArray &answer, const FloatArray &strain, GaussPoint gp, TimeStep tStep)
	Computes the stress vector of receiver at given integration point, at time step tStep. More...

virtual void	computeConstitutiveMatrixAt (FloatMatrix &answer, MatResponseMode rMode, GaussPoint gp, TimeStep tStep)
	Computes constitutive matrix of receiver. More...

virtual void	computeStrainVectorInLayer (FloatArray &answer, const FloatArray &masterGpStrain, GaussPoint masterGp, GaussPoint slaveGp, TimeStep *tStep)
	Computes full 3D strain vector in element layer. More...

virtual Interface *	giveInterface (InterfaceType it)
	Interface requesting service. More...

virtual int	computeNumberOfDofs ()
	Computes or simply returns total number of element's local DOFs. More...

virtual void	giveDofManDofIDMask (int inode, IntArray &) const
	Returns dofmanager dof mask for node. More...

virtual double	computeVolumeAround (GaussPoint *gp)
	Returns volume related to given integration point. More...

virtual int	giveIPValue (FloatArray &answer, GaussPoint gp, InternalStateType type, TimeStep tStep)
	Returns the integration point corresponding value in full form. More...

virtual const char *	giveInputRecordName () const

virtual const char *	giveClassName () const

virtual IRResultType	initializeFrom (InputRecord *ir)
	Initializes receiver according to object description stored in input record. More...

virtual void	drawRawGeometry (oofegGraphicContext &gc, TimeStep *tStep)

virtual void	drawDeformedGeometry (oofegGraphicContext &gc, TimeStep *tStep, UnknownType)

virtual integrationDomain	giveIntegrationDomain () const
	Returns integration domain for receiver, used to initialize integration point over receiver volume. More...

virtual MaterialMode	giveMaterialMode ()
	Returns material mode for receiver integration points. More...

virtual Element_Geometry_Type	giveGeometryType () const
	Returns the element geometry type. More...

Public Member Functions inherited from oofem::NLStructuralElement
	NLStructuralElement (int n, Domain *d)
	Constructor. More...

virtual	~NLStructuralElement ()
	Destructor. More...

int	giveGeometryMode ()
	Returns the geometry mode describing the formulation used in the internal work 0 - Engineering (small deformation) stress-strain mode 1 - First Piola-Kirchhoff - Deformation gradient mode, P is defined as FS 2 - Second Piola-Kirchhoff - Green-Lagrange strain mode with deformation gradient as input (deprecated and not supported) More...

void	computeFirstPKStressVector (FloatArray &answer, GaussPoint gp, TimeStep tStep)
	Computes the first Piola-Kirchhoff stress tensor on Voigt format. More...

void	computeCauchyStressVector (FloatArray &answer, GaussPoint gp, TimeStep tStep)
	Computes the Cauchy stress tensor on Voigt format. More...

virtual void	computeStiffnessMatrix (FloatMatrix &answer, MatResponseMode rMode, TimeStep *tStep)
	Computes the stiffness matrix of receiver. More...

void	computeStiffnessMatrix_withIRulesAsSubcells (FloatMatrix &answer, MatResponseMode rMode, TimeStep *tStep)
	Computes the stiffness matrix of receiver. More...

virtual void	giveInternalForcesVector (FloatArray &answer, TimeStep *tStep, int useUpdatedGpRecord=0)
	Evaluates nodal representation of real internal forces. More...

void	giveInternalForcesVector_withIRulesAsSubcells (FloatArray &answer, TimeStep *tStep, int useUpdatedGpRecord=0)
	Evaluates nodal representation of real internal forces. More...

virtual void	computeDeformationGradientVector (FloatArray &answer, GaussPoint gp, TimeStep tStep)
	Computes the deformation gradient in Voigt form at integration point ip and at time step tStep. More...

double	computeCurrentVolume (TimeStep *tStep)
	Computes the current volume of element. More...

virtual void	giveInputRecord (DynamicInputRecord &input)
	Setups the input record string of receiver. More...

Public Member Functions inherited from oofem::StructuralElement
	StructuralElement (int n, Domain *d)
	Constructor. More...

virtual	~StructuralElement ()
	Destructor. More...

virtual void	giveCharacteristicMatrix (FloatMatrix &answer, CharType, TimeStep *tStep)
	Computes characteristic matrix of receiver of requested type in given time step. More...

virtual void	giveCharacteristicVector (FloatArray &answer, CharType type, ValueModeType mode, TimeStep *tStep)
	Computes characteristic vector of receiver of requested type in given time step. More...

virtual void	computeConsistentMassMatrix (FloatMatrix &answer, TimeStep tStep, double &mass, const double ipDensity=NULL)
	Computes consistent mass matrix of receiver using numerical integration over element volume. More...

virtual void	giveMassMtrxIntegrationgMask (IntArray &answer)
	Returns mask indicating, which unknowns (their type and ordering is the same as element unknown vector) participate in mass matrix integration. More...

void	computeStiffnessMatrix_withIRulesAsSubcells (FloatMatrix &answer, MatResponseMode rMode, TimeStep *tStep)

virtual void	computeField (ValueModeType mode, TimeStep *tStep, const FloatArray &lcoords, FloatArray &answer)
	Computes the unknown vector interpolated at the specified local coordinates. More...

virtual void	computeStrainVector (FloatArray &answer, GaussPoint gp, TimeStep tStep)
	Compute strain vector of receiver evaluated at given integration point at given time step from element displacement vector. More...

virtual void	computeResultingIPTemperatureAt (FloatArray &answer, TimeStep tStep, GaussPoint gp, ValueModeType mode)
	Computes at given time (tStep) the the resulting temperature component array. More...

virtual void	computeResultingIPEigenstrainAt (FloatArray &answer, TimeStep tStep, GaussPoint gp, ValueModeType mode)
	Computes at given time the resulting eigenstrain component array. More...

virtual int	adaptiveUpdate (TimeStep *tStep)
	Updates the internal state variables stored in all IPs according to already mapped state. More...

virtual void	updateInternalState (TimeStep *tStep)
	Updates element state after equilibrium in time step has been reached. More...

virtual void	updateYourself (TimeStep *tStep)
	Updates element state after equilibrium in time step has been reached. More...

virtual int	giveInternalStateAtNode (FloatArray &answer, InternalStateType type, InternalStateMode mode, int node, TimeStep *tStep)
	Returns internal state variable (like stress,strain) at node of element in Reduced form, the way how is obtained is dependent on InternalValueType. More...

virtual void	showSparseMtrxStructure (CharType mtrx, oofegGraphicContext &gc, TimeStep *tStep)
	Shows sparse structure. More...

virtual void	showExtendedSparseMtrxStructure (CharType mtrx, oofegGraphicContext &gc, TimeStep *tStep)
	Shows extended sparse structure (for example, due to nonlocal interactions for tangent stiffness) More...

virtual void	computeLoadVector (FloatArray &answer, BodyLoad load, CharType type, ValueModeType mode, TimeStep tStep)
	Computes the contribution of the given body load (volumetric). More...

virtual void	computeBoundarySurfaceLoadVector (FloatArray &answer, BoundaryLoad load, int boundary, CharType type, ValueModeType mode, TimeStep tStep, bool global=true)
	Computes the contribution of the given load at the given boundary surface in global coordinate system. More...

virtual void	computeBoundaryEdgeLoadVector (FloatArray &answer, BoundaryLoad load, int boundary, CharType type, ValueModeType mode, TimeStep tStep, bool global=true)
	Computes the contribution of the given load at the given boundary edge. More...

virtual void	computeEdgeNMatrix (FloatMatrix &answer, int boundaryID, const FloatArray &lcoords)
	computes edge interpolation matrix More...

virtual void	computeSurfaceNMatrix (FloatMatrix &answer, int boundaryID, const FloatArray &lcoords)
	Computes surface interpolation matrix. More...

StructuralCrossSection *	giveStructuralCrossSection ()
	Helper function which returns the structural cross-section for the element. More...

virtual void	createMaterialStatus ()

virtual void	updateBeforeNonlocalAverage (TimeStep *tStep)
	Updates internal element state (in all integration points of receiver) before nonlocal averaging takes place. More...

virtual void	giveNonlocalLocationArray (IntArray &locationArray, const UnknownNumberingScheme &us)
	Returns the "nonlocal" location array of receiver. More...

virtual void	addNonlocalStiffnessContributions (SparseMtrx &dest, const UnknownNumberingScheme &s, TimeStep *tStep)
	Adds the "nonlocal" contribution to stiffness matrix, to account for nonlocality of material model. More...

Public Member Functions inherited from oofem::Element
	Element (int n, Domain *aDomain)
	Constructor. More...

	Element (const Element &src)=delete

Element &	operator= (const Element &src)=delete

virtual	~Element ()
	Virtual destructor. More...

virtual void	drawYourself (oofegGraphicContext &gc, TimeStep *tStep)

virtual void	drawAnnotation (oofegGraphicContext &gc, TimeStep *tStep)

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)
	Returns internal state variable (like stress,strain) at side of element in Reduced form If side is possessing DOFs, otherwise recover techniques will not work due to absence of side-shape functions. More...

int	giveLabel () const

int	giveGlobalNumber () const

void	setGlobalNumber (int num)
	Sets receiver globally unique number. More...

elementParallelMode	giveParallelMode () const
	Return elementParallelMode of receiver. More...

void	setParallelMode (elementParallelMode _mode)
	Sets parallel mode of element. More...

virtual elementParallelMode	giveKnotSpanParallelMode (int) const
	Returns the parallel mode for particular knot span of the receiver. More...

int	packUnknowns (DataStream &buff, TimeStep *tStep)
	Pack all necessary data of element (according to its parallel_mode) integration points into given communication buffer. More...

int	unpackAndUpdateUnknowns (DataStream &buff, TimeStep *tStep)
	Unpack and updates all necessary data of element (according to its parallel_mode) integration points into given communication buffer. More...

int	estimatePackSize (DataStream &buff)
	Estimates the necessary pack size to hold all packed data of receiver. More...

const IntArray *	givePartitionList () const
	Returns partition list of receiver. More...

void	setPartitionList (IntArray &pl)
	Sets partition list of receiver. More...

virtual double	predictRelativeComputationalCost ()
	Returns the weight representing relative computational cost of receiver The reference element is triangular plane stress element with linear approximation, single integration point and linear isotropic material. More...

virtual double	giveRelativeSelfComputationalCost ()
	Returns the weight representing relative computational cost of receiver The reference element is triangular plane stress element. More...

virtual double	predictRelativeRedistributionCost ()
	Returns the relative redistribution cost of the receiver. More...

IntArray *	giveBodyLoadArray ()
	Returns array containing load numbers of loads acting on element. More...

IntArray *	giveBoundaryLoadArray ()
	Returns array containing load numbers of boundary loads acting on element. More...

virtual contextIOResultType	saveContext (DataStream &stream, ContextMode mode, void *obj=NULL)
	Stores receiver state to output stream. More...

virtual contextIOResultType	restoreContext (DataStream &stream, ContextMode mode, void *obj=NULL)
	Restores the receiver state previously written in stream. More...

virtual void	printOutputAt (FILE file, TimeStep tStep)
	Prints output of receiver to stream, for given time step. More...

void	giveLocationArray (IntArray &locationArray, const UnknownNumberingScheme &s, IntArray *dofIds=NULL) const
	Returns the location array (array of code numbers) of receiver for given numbering scheme. More...

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)
	Returns the location array for the boundary of the element. More...

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
	Returns i-th internal element dof manager of the receiver. More...

virtual double	giveCharacteristicValue (CharType type, TimeStep *tStep)
	Computes characteristic value of receiver of requested type in given time step. More...

virtual void	computeTangentFromSurfaceLoad (FloatMatrix &answer, SurfaceLoad load, int boundary, MatResponseMode rmode, TimeStep tStep)
	Computes the tangent contribution of the given load at the given boundary. More...

virtual void	computeTangentFromEdgeLoad (FloatMatrix &answer, EdgeLoad load, int boundary, MatResponseMode rmode, TimeStep tStep)
	Computes the tangent contribution of the given load at the given boundary. More...

const IntArray &	giveBodyLoadList () const
	Returns receiver list of bodyloads. More...

const IntArray &	giveBoundaryLoadList () const
	Returns receiver list of boundary loads. More...

void	computeVectorOf (ValueModeType u, TimeStep *tStep, FloatArray &answer)
	Returns local vector of unknowns. More...

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)
	Boundary version of computeVectorOf. More...

void	computeVectorOf (PrimaryField &field, const IntArray &dofIDMask, ValueModeType u, TimeStep *tStep, FloatArray &answer, bool padding=false)
	Returns local vector of unknowns. More...

void	computeVectorOfPrescribed (ValueModeType u, TimeStep *tStep, FloatArray &answer)
	Returns local vector of prescribed unknowns. More...

void	computeVectorOfPrescribed (const IntArray &dofIDMask, ValueModeType type, TimeStep *tStep, FloatArray &answer)
	Returns local vector of prescribed unknowns. More...

virtual int	computeNumberOfGlobalDofs ()
	Computes the total number of element's global dofs. More...

int	computeNumberOfPrimaryMasterDofs ()
	Computes the total number of element's primary master DOFs. More...

virtual bool	giveRotationMatrix (FloatMatrix &answer)
	Transformation matrices updates rotation matrix between element-local and primary DOFs, taking into account nodal c.s. More...

virtual bool	computeDofTransformationMatrix (FloatMatrix &answer, const IntArray &nodes, bool includeInternal)
	Returns transformation matrix for DOFs from global coordinate system to local coordinate system in nodes. More...

virtual void	giveInternalDofManDofIDMask (int inode, IntArray &answer) const
	Returns internal dofmanager dof mask for node. More...

virtual void	giveElementDofIDMask (IntArray &answer) const
	Returns element dof mask for node. More...

virtual double	computeVolumeAreaOrLength ()
	Computes the volume, area or length of the element depending on its spatial dimension. More...

double	computeMeanSize ()
	Computes the size of the element defined as its length. More...

virtual double	computeVolume ()
	Computes the volume. More...

virtual double	computeArea ()
	Computes the area (zero for all but 2d geometries). More...

virtual void	giveBoundaryEdgeNodes (IntArray &bNodes, int boundary)
	Returns list of receiver boundary nodes for given edge. More...

virtual void	giveBoundarySurfaceNodes (IntArray &bNodes, int boundary)
	Returns list of receiver boundary nodes for given surface. More...

virtual IntegrationRule *	giveBoundaryEdgeIntegrationRule (int order, int boundary)
	Returns boundary edge integration rule. More...

virtual IntegrationRule *	giveBoundarySurfaceIntegrationRule (int order, int boundary)
	Returns boundary surface integration rule. More...

int	giveDofManagerNumber (int i) const
	Translates local to global indices for dof managers. More...

const IntArray &	giveDofManArray () const

void	addDofManager (DofManager *dMan)

DofManager *	giveDofManager (int i) const

Node *	giveNode (int i) const
	Returns reference to the i-th node of element. More...

virtual ElementSide *	giveSide (int i) const
	Returns reference to the i-th side of element. More...

virtual FEInterpolation *	giveInterpolation () const

virtual FEInterpolation *	giveInterpolation (DofIDItem id) const
	Returns the interpolation for the specific dof id. More...

virtual Material *	giveMaterial ()

int	giveMaterialNumber () const

CrossSection *	giveCrossSection ()

void	setMaterial (int matIndx)
	Sets the material of receiver. More...

virtual void	setCrossSection (int csIndx)
	Sets the cross section model of receiver. More...

virtual int	giveNumberOfDofManagers () const

virtual int	giveNumberOfNodes () const
	Returns number of nodes of receiver. More...

void	setDofManagers (const IntArray &dmans)
	Sets receiver dofManagers. More...

void	setBodyLoads (const IntArray &bodyLoads)
	Sets receiver bodyLoadArray. More...

void	setIntegrationRules (std::vector< std::unique_ptr< IntegrationRule > > irlist)
	Sets integration rules. More...

virtual int	giveIntegrationRuleLocalCodeNumbers (IntArray &answer, IntegrationRule &ie)
	Assembles the code numbers of given integration element (sub-patch) This is done by obtaining list of nonzero shape functions and by collecting the code numbers of nodes corresponding to these shape functions. More...

int	giveRegionNumber ()

virtual void	postInitialize ()
	Performs post initialization steps. More...

virtual void	initializeYourself (TimeStep *timeStepWhenICApply)
	Initialization according to state given by initial conditions. More...

virtual bool	isActivated (TimeStep *tStep)

virtual bool	isCast (TimeStep *tStep)

virtual void	initForNewStep ()
	Initializes receivers state to new time step. More...

virtual int	giveSpatialDimension ()
	Returns the element spatial dimension (1, 2, or 3). More...

virtual int	giveNumberOfBoundarySides ()

virtual int	giveDefaultIntegrationRule () const
	Returns id of default integration rule. More...

virtual IntegrationRule *	giveDefaultIntegrationRulePtr ()
	Access method for default integration rule. More...

int	giveNumberOfIntegrationRules ()

virtual IntegrationRule *	giveIntegrationRule (int i)

std::vector< std::unique_ptr< IntegrationRule > > &	giveIntegrationRulesArray ()

virtual int	testElementExtension (ElementExtension ext)
	Tests if the element implements required extension. More...

int	giveGlobalIPValue (FloatArray &answer, GaussPoint gp, InternalStateType type, TimeStep tStep)

virtual double	giveLengthInDir (const FloatArray &normalToCrackPlane)
	Default implementation returns length of element projection into specified direction. More...

virtual double	giveCharacteristicLength (const FloatArray &normalToCrackPlane)
	Returns the size of element in the given direction, in some cases adjusted (e.g. More...

double	giveCharacteristicLengthForPlaneElements (const FloatArray &normalToCrackPlane)
	Returns the size of element in the given direction if the direction is in the XY plane, otherwise gives the mean size defined as the square root of the element area. More...

double	giveCharacteristicLengthForAxisymmElements (const FloatArray &normalToCrackPlane)
	Returns the size of an axisymmetric element in the given direction if the direction is in the XY plane, otherwise gives the mean distance vrom the symmetry axis multiplied by pi. More...

virtual double	giveCharacteristicSize (GaussPoint *gp, FloatArray &normalToCrackPlane, ElementCharSizeMethod method)
	Returns characteristic element size for a given integration point and given direction. More...

virtual double	giveParentElSize () const
	Returns the size (length, area or volume depending on element type) of the parent element. More...

virtual bool	computeLocalCoordinates (FloatArray &answer, const FloatArray &gcoords)
	Computes the element local coordinates from given global coordinates. More...

virtual int	giveLocalCoordinateSystem (FloatMatrix &answer)
	Returns local coordinate system of receiver Required by material models with ortho- and anisotrophy. More...

virtual void	computeMidPlaneNormal (FloatArray &answer, const GaussPoint *gp)
	Computes mid-plane normal of receiver at integration point. More...

virtual int	adaptiveMap (Domain oldd, TimeStep tStep)
	Initializes the internal state variables stored in all IPs according to state in given domain. More...

virtual int	mapStateVariables (Domain &iOldDom, const TimeStep &iTStep)
	Maps the internal state variables stored in all IPs from the old domain to the new domain. More...

virtual int	adaptiveFinish (TimeStep *tStep)
	Finishes the mapping for given time step. More...

virtual void	updateLocalNumbering (EntityRenumberingFunctor &f)
	Local renumbering support. More...

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. More...

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. More...

Public Member Functions inherited from oofem::FEMComponent
	FEMComponent (int n, Domain *d)
	Regular constructor, creates component with given number and belonging to given domain. More...

virtual	~FEMComponent ()
	Virtual destructor. More...

Domain *	giveDomain () const

virtual void	setDomain (Domain *d)
	Sets associated Domain. More...

int	giveNumber () const

void	setNumber (int num)
	Sets number of receiver. More...

virtual void	printYourself ()
	Prints receiver state on stdout. Useful for debugging. More...

std::string	errorInfo (const char *func) const
	Returns string for prepending output (used by error reporting macros). More...

Public Member Functions inherited from oofem::LayeredCrossSectionInterface
	LayeredCrossSectionInterface ()

Public Member Functions inherited from oofem::Interface
	Interface ()
	Constructor. More...

virtual	~Interface ()

Protected Member Functions
virtual void	giveEdgeDofMapping (IntArray &answer, int) const
	Assembles edge dof mapping mask, which provides mapping between edge local DOFs and "global" element DOFs. More...

virtual double	computeEdgeVolumeAround (GaussPoint *, int)
	Computes volume related to integration point on local edge. More...

virtual int	computeLoadLEToLRotationMatrix (FloatMatrix &, int, GaussPoint *)
	Returns transformation matrix from local edge c.s to element local coordinate system of load vector components. More...

virtual int	computeLoadGToLRotationMtrx (FloatMatrix &answer)
	Returns transformation matrix from global coordinate system to local element coordinate system for element load vector components. More...

virtual void	computeBodyLoadVectorAt (FloatArray &answer, Load load, TimeStep tStep, ValueModeType mode)
	Computes the load vector due to body load acting on receiver, at given time step. More...

virtual void	computeBmatrixAt (GaussPoint *gp, FloatMatrix &answer, int=1, int=ALL_STRAINS)
	Computes the geometrical matrix of receiver in given integration point. More...

void	computeNLBMatrixAt (FloatMatrix &answer, GaussPoint *gp, int)

virtual void	computeNmatrixAt (const FloatArray &iLocCoord, FloatMatrix &answer)
	Computes interpolation matrix for element unknowns. More...

virtual void	computeGaussPoints ()
	Initializes the array of integration rules member variable. More...

virtual double	computeLength ()
	Computes the length (zero for all but 1D geometries) More...

double	givePitch ()

Protected Member Functions inherited from oofem::NLStructuralElement
virtual int	checkConsistency ()
	Performs consistency check. More...

virtual void	computeBHmatrixAt (GaussPoint *gp, FloatMatrix &answer)
	Computes a matrix which, multiplied by the column matrix of nodal displacements, gives the displacement gradient stored by columns. More...

Protected Member Functions inherited from oofem::StructuralElement
virtual int	giveNumberOfIPForMassMtrxIntegration ()
	Return desired number of integration points for consistent mass matrix computation, if required. More...

void	condense (FloatMatrix stiff, FloatMatrix mass, FloatArray load, IntArray what)
	General service for condensation of stiffness and optionally load vector and mass or initial stress matrices of receiver. More...

virtual void	setupIRForMassMtrxIntegration (IntegrationRule &iRule)
	Setup Integration Rule Gauss Points for Mass Matrix integration. More...

virtual void	computePointLoadVectorAt (FloatArray &answer, Load load, TimeStep tStep, ValueModeType mode, bool global=true)
	Computes point load vector contribution of receiver for given load (should has BoundaryLoad Base). More...

virtual void	giveSurfaceDofMapping (IntArray &answer, int iSurf) const
	Assembles surface dof mapping mask, which provides mapping between surface local DOFs and "global" element DOFs. More...

virtual IntegrationRule *	GetSurfaceIntegrationRule (int order)

virtual double	computeSurfaceVolumeAround (GaussPoint *gp, int iSurf)
	Computes volume related to integration point on local surface. More...

virtual int	computeLoadLSToLRotationMatrix (FloatMatrix &answer, int iSurf, GaussPoint *gp)
	Returns transformation matrix from local surface c.s to element local coordinate system of load vector components. More...

Protected Attributes
double	pitch

double	length

Protected Attributes inherited from oofem::NLStructuralElement
int	nlGeometry
	Flag indicating if geometrical nonlinearities apply. More...

Protected Attributes inherited from oofem::StructuralElement
std::unique_ptr< FloatArray >	initialDisplacements
	Initial displacement vector, describes the initial nodal displacements when element has been casted. More...

Protected Attributes inherited from oofem::Element
int	numberOfDofMans
	Number of dofmanagers. More...

IntArray	dofManArray
	Array containing dofmanager numbers. More...

int	material
	Number of associated material. More...

int	crossSection
	Number of associated cross section. More...

IntArray	bodyLoadArray
	Array containing indexes of loads (body loads and boundary loads are kept separately), that apply on receiver. More...

IntArray	boundaryLoadArray

std::vector< std::unique_ptr< IntegrationRule > >	integrationRulesArray
	List of integration rules of receiver (each integration rule contains associated integration points also). More...

FloatMatrix	elemLocalCS
	Transformation material matrix, used in orthotropic and anisotropic materials, global->local transformation. More...

int	activityTimeFunction
	Element activity time function. If defined, nonzero value indicates active receiver, zero value inactive element. More...

int	globalNumber
	In parallel mode, globalNumber contains globally unique DoFManager number. More...

int	numberOfGaussPoints
	Number of integration points as specified by nip. More...

elementParallelMode	parallel_mode
	Determines the parallel mode of the element. More...

IntArray	partitions
	List of partition sharing the shared element or remote partition containing remote element counterpart. More...

Protected Attributes inherited from oofem::FEMComponent
int	number
	Component number. More...

Domain *	domain
	Link to domain object, useful for communicating with other FEM components. More...

Detailed Description

This class implements a 2-dimensional Linear Isoparametric Mindlin theory beam element, with reduced integration.

Geometric nonlinearities are taken into account.

Definition at line 49 of file libeam2dnl.h.

Constructor & Destructor Documentation

oofem::LIBeam2dNL::LIBeam2dNL	(	int	n,
		Domain *	d
	)

Definition at line 55 of file libeam2dnl.C.

References length, oofem::Element::numberOfDofMans, and pitch.

virtual oofem::LIBeam2dNL::~LIBeam2dNL ( )

inlinevirtual

Definition at line 56 of file libeam2dnl.h.

References computeLumpedMassMatrix().

Member Function Documentation

void oofem::LIBeam2dNL::computeBmatrixAt	(	GaussPoint *	gp,
		FloatMatrix &	answer,
		int	lowerIndx = `1`,
		int	upperIndx = `ALL_STRAINS`
	)

protectedvirtual

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 74 of file libeam2dnl.C.

References oofem::FloatMatrix::at(), computeLength(), oofem::GaussPoint::giveNaturalCoordinate(), oofem::FloatMatrix::resize(), and oofem::FloatMatrix::zero().

Referenced by giveGeometryType().

void oofem::LIBeam2dNL::computeBodyLoadVectorAt	(	FloatArray &	answer,
		Load *	load,
		TimeStep *	tStep,
		ValueModeType	mode
	)

protectedvirtual

Computes the load vector due to body load acting on receiver, at given time step.

Default implementation computes body load vector numerically as $l=\int_V N^{\mathrm{T}} f \rho\;\mathrm{d}V$ using default integration rule. Result is transformed to global c.s.

Parameters

answer	Computed load vector due to body load
load	Body load which contribution is computed.
tStep	Time step.
mode	determines the response mode

Reimplemented from oofem::StructuralElement.

Definition at line 574 of file libeam2dnl.C.

References oofem::StructuralElement::computeBodyLoadVectorAt(), oofem::CS_Area, oofem::Element::giveCrossSection(), and oofem::FloatArray::times().

Referenced by giveGeometryType().

void oofem::LIBeam2dNL::computeConstitutiveMatrixAt	(	FloatMatrix &	answer,
		MatResponseMode	rMode,
		GaussPoint *	gp,
		TimeStep *	tStep
	)

virtual

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 401 of file libeam2dnl.C.

References oofem::StructuralCrossSection::give2dBeamStiffMtrx(), and oofem::StructuralElement::giveStructuralCrossSection().

Referenced by computeMassMatrix().

double oofem::LIBeam2dNL::computeEdgeVolumeAround	(	GaussPoint *	gp,
		int	iEdge
	)

protectedvirtual

Computes volume related to integration point on local edge.

Parameters

gp	edge integration point
iEdge	edge number

Reimplemented from oofem::StructuralElement.

Definition at line 520 of file libeam2dnl.C.

References computeLength(), oofem::GaussPoint::giveWeight(), and OOFEM_ERROR.

Referenced by giveGeometryType().

void oofem::LIBeam2dNL::computeGaussPoints ( )

protectedvirtual

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 283 of file libeam2dnl.C.

References oofem::Element::giveCrossSection(), oofem::Element::integrationRulesArray, and oofem::CrossSection::setupIntegrationPoints().

Referenced by giveGeometryType().

int oofem::LIBeam2dNL::computeGlobalCoordinates	(	FloatArray &	answer,
		const FloatArray &	lcoords
	)

virtual

Computes the global coordinates from given element's local coordinates.

Parameters

answer	Requested global coordinates.
lcoords	Local coordinates.

Returns: Nonzero if successful, zero otherwise.

Reimplemented from oofem::Element.

Definition at line 436 of file libeam2dnl.C.

References oofem::FloatArray::at(), oofem::Node::giveCoordinate(), oofem::Element::giveNode(), and oofem::FloatArray::resize().

Referenced by computeMassMatrix().

bool oofem::LIBeam2dNL::computeGtoLRotationMatrix ( FloatMatrix & answer )

virtual

Returns transformation matrix from global c.s.

to local element c.s., i.e. $ r_l =T r_g $ . If no transformation is necessary then answer is empty matrix and zero value is returned.

Parameters

answer Computed rotation matrix.

Returns: Nonzero if transformation is necessary, zero otherwise.

Reimplemented from oofem::Element.

Definition at line 342 of file libeam2dnl.C.

References oofem::FloatMatrix::at(), givePitch(), pitch, oofem::FloatMatrix::resize(), and oofem::FloatMatrix::zero().

Referenced by computeMassMatrix().

void oofem::LIBeam2dNL::computeInitialStressMatrix	(	FloatMatrix &	answer,
		TimeStep *	tStep
	)

virtual

Computes the initial stiffness matrix of receiver.

This method is used only if mode = UL The response is evaluated using $\int B ({\mathrm{\sigma}}\otimes \delta )B_{\mathrm{H}} \;\mathrm{d}v$ , where $ B $ is the classical B-matrix, but computed wrt updated node position

Parameters

answer	Computed initial stiffness matrix.
tStep	Time step.

Reimplemented from oofem::NLStructuralElement.

Definition at line 256 of file libeam2dnl.C.

References oofem::FloatMatrix::add(), oofem::FloatArray::at(), computeNLBMatrixAt(), computeVolumeAround(), oofem::Element::giveDefaultIntegrationRulePtr(), oofem::FloatArray::giveSize(), oofem::FloatMatrix::isNotEmpty(), oofem::FloatMatrix::resize(), oofem::FloatMatrix::times(), and oofem::FloatMatrix::zero().

Referenced by computeMassMatrix().

double oofem::LIBeam2dNL::computeLength ( )

protectedvirtual

Computes the length (zero for all but 1D geometries)

Returns: Element length.

Reimplemented from oofem::Element.

Definition at line 452 of file libeam2dnl.C.

References oofem::Node::giveCoordinate(), oofem::Element::giveNode(), and length.

Referenced by computeBmatrixAt(), computeEdgeVolumeAround(), computeLumpedMassMatrix(), computeNLBMatrixAt(), computeNmatrixAt(), computeVolumeAround(), and giveGeometryType().

int oofem::LIBeam2dNL::computeLoadGToLRotationMtrx ( FloatMatrix & answer )

protectedvirtual

Returns transformation matrix from global coordinate system to local element coordinate system for element load vector components.

If no transformation is necessary, answer is empty matrix (default);

Parameters

answer Transformation matrix.

Returns: Nonzero if transformation matrix is not empty matrix, zero otherwise.

Reimplemented from oofem::StructuralElement.

Definition at line 532 of file libeam2dnl.C.

References oofem::FloatMatrix::at(), givePitch(), pitch, oofem::FloatMatrix::resize(), and oofem::FloatMatrix::zero().

Referenced by giveGeometryType().

int oofem::LIBeam2dNL::computeLoadLEToLRotationMatrix	(	FloatMatrix &	answer,
		int	iEdge,
		GaussPoint *	gp
	)

protectedvirtual

Returns transformation matrix from local edge c.s to element local coordinate system of load vector components.

Necessary, because integration must be done in local coordinate system of entity (edge or surface). If no transformation is necessary, answer is empty matrix (default);

Parameters

answer	Computed rotation matrix.
iEdge	Edge number.
gp	Integration point (point, where transformation is computed, useful for curved edges).

Returns: Nonzero if transformation matrix is not empty matrix, zero otherwise.

Reimplemented from oofem::StructuralElement.

Definition at line 559 of file libeam2dnl.C.

References oofem::FloatMatrix::clear().

Referenced by giveGeometryType().

void oofem::LIBeam2dNL::computeLumpedMassMatrix	(	FloatMatrix &	answer,
		TimeStep *	tStep
	)

virtual

Computes lumped mass matrix of receiver.

Default implementation returns lumped consistent mass matrix. Then returns lumped mass transformed into nodal coordinate system. The lumping procedure zeroes all off-diagonal members and zeroes also all diagonal members corresponding to non-displacement DOFs. Such diagonal matrix is then rescaled, to preserve the element mass. Requires the computeNmatrixAt and giveMassMtrxIntegrationgMask services to be implemented.

Parameters

answer	Lumped mass matrix.
tStep	Time step.

Reimplemented from oofem::StructuralElement.

Definition at line 295 of file libeam2dnl.C.

References oofem::FloatMatrix::at(), computeLength(), oofem::CS_Area, oofem::CrossSection::give(), oofem::Element::giveCrossSection(), oofem::StructuralElement::giveStructuralCrossSection(), oofem::Element::integrationRulesArray, oofem::FloatMatrix::resize(), and oofem::FloatMatrix::zero().

Referenced by computeMassMatrix(), and ~LIBeam2dNL().

virtual void oofem::LIBeam2dNL::computeMassMatrix	(	FloatMatrix &	answer,
		TimeStep *	tStep
	)

inlinevirtual

Computes mass matrix of receiver.

Default implementation returns consistent mass matrix and uses numerical integration. Returns result of this->computeConsistentMassMatrix service, transformed into nodal coordinate system. Requires the computeNmatrixAt and giveMassMtrxIntegrationgMask services to be implemented.

Parameters

answer	Mass matrix.
tStep	Time step.

Reimplemented from oofem::StructuralElement.

Definition at line 59 of file libeam2dnl.h.

References computeConstitutiveMatrixAt(), computeGlobalCoordinates(), computeGtoLRotationMatrix(), computeInitialStressMatrix(), computeLumpedMassMatrix(), computeStrainVectorInLayer(), computeStressVector(), and giveInterface().

void oofem::LIBeam2dNL::computeNLBMatrixAt	(	FloatMatrix &	answer,
		GaussPoint *	gp,
		int	i
	)

protected

Definition at line 106 of file libeam2dnl.C.

References oofem::FloatMatrix::at(), computeLength(), oofem::GaussPoint::giveNaturalCoordinate(), oofem::FloatMatrix::resize(), and oofem::FloatMatrix::zero().

Referenced by computeInitialStressMatrix(), and giveGeometryType().

void oofem::LIBeam2dNL::computeNmatrixAt	(	const FloatArray &	iLocCoord,
		FloatMatrix &	answer
	)

protectedvirtual

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 312 of file libeam2dnl.C.

References oofem::FloatArray::at(), oofem::FloatMatrix::at(), computeLength(), oofem::FloatMatrix::resize(), and oofem::FloatMatrix::zero().

Referenced by giveGeometryType().

virtual int oofem::LIBeam2dNL::computeNumberOfDofs ( )

inlinevirtual

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 75 of file libeam2dnl.h.

References computeVolumeAround(), giveDofManDofIDMask(), and giveIPValue().

void oofem::LIBeam2dNL::computeStrainVectorInLayer	(	FloatArray &	answer,
		const FloatArray &	masterGpStrain,
		GaussPoint *	masterGp,
		GaussPoint *	slaveGp,
		TimeStep *	tStep
	)

virtual

Computes full 3D strain vector in element layer.

This function is necessary if layered cross section is specified..

Parameters

answer	Full layer strain vector.
masterGpStrain	Generalized strain at master gauss point.
masterGp	Element integration point.
slaveGp	Slave integration point representing particular layer.
tStep	Time step.

Implements oofem::LayeredCrossSectionInterface.

Definition at line 408 of file libeam2dnl.C.

References oofem::FloatArray::at(), oofem::CS_BottomZCoord, oofem::CS_TopZCoord, oofem::CrossSection::give(), oofem::Element::giveCrossSection(), oofem::GaussPoint::giveNaturalCoordinate(), and oofem::FloatArray::resize().

Referenced by computeMassMatrix().

void oofem::LIBeam2dNL::computeStressVector	(	FloatArray &	answer,
		const FloatArray &	strain,
		GaussPoint *	gp,
		TimeStep *	tStep
	)

virtual

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 394 of file libeam2dnl.C.

References oofem::StructuralCrossSection::giveGeneralizedStress_Beam2d(), and oofem::StructuralElement::giveStructuralCrossSection().

Referenced by computeMassMatrix().

double oofem::LIBeam2dNL::computeVolumeAround ( GaussPoint * gp )

virtual

Returns volume related to given integration point.

Used typically in subroutines, that perform integration over element volume. Should be implemented by particular elements.

See also: GaussPoint

Parameters

gp	Integration point for which volume is computed.

Returns: Volume for integration point.

Reimplemented from oofem::Element.

Definition at line 367 of file libeam2dnl.C.

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

Referenced by computeInitialStressMatrix(), and computeNumberOfDofs().

void oofem::LIBeam2dNL::drawDeformedGeometry	(	oofegGraphicContext &	gc,
		TimeStep *	tStep,
		UnknownType	type
	)

virtual

Reimplemented from oofem::Element.

Definition at line 609 of file libeam2dnl.C.

References oofem::oofegGraphicContext::getDeformedElementColor(), oofem::oofegGraphicContext::getDefScale(), oofem::Element::giveNode(), oofem::Node::giveUpdatedCoordinate(), OOFEG_DEFORMED_GEOMETRY_LAYER, OOFEG_DEFORMED_GEOMETRY_WIDTH, and oofem::oofegGraphicContext::testElementGraphicActivity().

Referenced by giveClassName().

void oofem::LIBeam2dNL::drawRawGeometry	(	oofegGraphicContext &	gc,
		TimeStep *	tStep
	)

virtual

Reimplemented from oofem::Element.

Definition at line 583 of file libeam2dnl.C.

References oofem::oofegGraphicContext::getElementColor(), oofem::Node::giveCoordinate(), oofem::Element::giveNode(), OOFEG_RAW_GEOMETRY_LAYER, OOFEG_RAW_GEOMETRY_WIDTH, and oofem::oofegGraphicContext::testElementGraphicActivity().

Referenced by giveClassName().

virtual const char* oofem::LIBeam2dNL::giveClassName ( ) const

inlinevirtual

Returns: Class name of the receiver.

Reimplemented from oofem::NLStructuralElement.

Definition at line 83 of file libeam2dnl.h.

References drawDeformedGeometry(), drawRawGeometry(), gc, and initializeFrom().

void oofem::LIBeam2dNL::giveDofManDofIDMask	(	int	inode,
		IntArray &	answer
	)		const

virtual

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 429 of file libeam2dnl.C.

Referenced by computeNumberOfDofs().

void oofem::LIBeam2dNL::giveEdgeDofMapping	(	IntArray &	answer,
		int	iEdge
	)		const

protectedvirtual

Assembles edge dof mapping mask, which provides mapping between edge local DOFs and "global" element DOFs.

Mask can be imagined as local edge code numbers used to localize local edge DOFs to element DOFs.

Parameters

answer	Edge DOF mapping.
iEdge	Edge number.

Reimplemented from oofem::StructuralElement.

Definition at line 498 of file libeam2dnl.C.

References oofem::IntArray::at(), OOFEM_ERROR, and oofem::IntArray::resize().

Referenced by giveGeometryType().

virtual Element_Geometry_Type oofem::LIBeam2dNL::giveGeometryType ( ) const

inlinevirtual

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.

Reimplemented from oofem::Element.

Definition at line 93 of file libeam2dnl.h.

References ALL_STRAINS, computeBmatrixAt(), computeBodyLoadVectorAt(), computeEdgeVolumeAround(), computeGaussPoints(), computeLength(), computeLoadGToLRotationMtrx(), computeLoadLEToLRotationMatrix(), computeNLBMatrixAt(), computeNmatrixAt(), giveEdgeDofMapping(), and givePitch().

virtual const char* oofem::LIBeam2dNL::giveInputRecordName ( ) const

inlinevirtual

Returns: Input record name of the receiver.

Implements oofem::FEMComponent.

Definition at line 82 of file libeam2dnl.h.

References _IFT_LIBeam2dNL_Name.

virtual integrationDomain oofem::LIBeam2dNL::giveIntegrationDomain ( ) const

inlinevirtual

Returns integration domain for receiver, used to initialize integration point over receiver volume.

Default behavior is taken from the default interpolation.

Returns: Integration domain of element.

Reimplemented from oofem::Element.

Definition at line 91 of file libeam2dnl.h.

References oofem::_Line.

Interface * oofem::LIBeam2dNL::giveInterface ( InterfaceType t )

virtual

Interface requesting service.

See also: InterfaceType

Returns: Requested interface if implemented, otherwise NULL.

Reimplemented from oofem::FEMComponent.

Definition at line 63 of file libeam2dnl.C.

References oofem::LayeredCrossSectionInterfaceType.

Referenced by computeMassMatrix().

int oofem::LIBeam2dNL::giveIPValue	(	FloatArray &	answer,
		GaussPoint *	gp,
		InternalStateType	type,
		TimeStep *	tStep
	)

virtual

Returns the integration point corresponding value in full form.

Parameters

answer	Contain corresponding integration point value, zero sized if not available.
gp	Integration point to check.
type	Determines the type of internal variable.
tStep	Time step.

Returns: Nonzero if o.k, zero otherwise.

Todo:: This should be a common inheritance for all 3d beams (and a similar one for 2D beams) to support all the sensible moment/force tensors.

Todo:: Which "error type" should be used? Why are there several? I don't see the point of this enum when there could be different function calls just as well (and different IST values)

Reimplemented from oofem::StructuralElement.

Definition at line 377 of file libeam2dnl.C.

References oofem::StructuralElement::giveIPValue(), and oofem::GaussPoint::giveMaterialStatus().

Referenced by computeNumberOfDofs().

virtual MaterialMode oofem::LIBeam2dNL::giveMaterialMode ( )

inlinevirtual

Returns material mode for receiver integration points.

Should be specialized.

Returns: Material mode of element.

Reimplemented from oofem::Element.

Definition at line 92 of file libeam2dnl.h.

double oofem::LIBeam2dNL::givePitch ( )

protected

Definition at line 470 of file libeam2dnl.C.

References oofem::Node::giveCoordinate(), oofem::Element::giveNode(), and pitch.

Referenced by computeGtoLRotationMatrix(), computeLoadGToLRotationMtrx(), and giveGeometryType().

IRResultType oofem::LIBeam2dNL::initializeFrom ( InputRecord * ir )

virtual

Initializes receiver according to object description stored in input record.

This function is called immediately after creating object using constructor. Input record can be imagined as data record in component database belonging to receiver. Receiver may use value-name extracting functions to extract particular field from record.