OOFEM 3.0
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oofem::Lattice2d Class Reference

#include <lattice2d.h>

Inheritance diagram for oofem::Lattice2d:
Collaboration diagram for oofem::Lattice2d:

Public Member Functions

 Lattice2d (int n, Domain *d)
virtual ~Lattice2d ()
int giveLocalCoordinateSystem (FloatMatrix &answer) override
int computeGlobalCoordinates (FloatArray &answer, const FloatArray &lcoords) override
double giveLength () override
double giveNormalStress () override
int hasBeenUpdated () override
double giveArea () override
int computeNumberOfDofs () override
void giveDofManDofIDMask (int inode, IntArray &) const override
double computeVolumeAround (GaussPoint *gp) override
int giveCrackFlag () override
double giveCrackWidth () override
double giveDissipation () override
double giveDeltaDissipation () override
int giveCouplingFlag () override
void giveCouplingNumbers (IntArray &numbers) override
const char * giveInputRecordName () const override
const char * giveClassName () const override
void initializeFrom (InputRecord &ir, int priority) override
Element_Geometry_Type giveGeometryType () const override
void drawYourself (oofegGraphicContext &gc, TimeStep *tStep) override
void drawRawGeometry (oofegGraphicContext &gc, TimeStep *tStep) override
void drawDeformedGeometry (oofegGraphicContext &gc, TimeStep *tStep, UnknownType) override
void drawSpecial (oofegGraphicContext &gc, TimeStep *tStep) override
void drawRawCrossSections (oofegGraphicContext &gc, TimeStep *tStep)
void giveCrossSectionCoordinates (FloatArray &coords) override
Public Member Functions inherited from oofem::LatticeStructuralElement
 LatticeStructuralElement (int n, Domain *d)
void printOutputAt (FILE *file, TimeStep *tStep) override
virtual double giveBondLength ()
virtual double giveBondEndLength ()
virtual double giveBondDiameter ()
virtual double giveOldCrackWidth ()
virtual void givePressures (FloatArray &pressures)
virtual void givePlasticStrain (FloatArray &plas)
virtual void giveOldPlasticStrain (FloatArray &plas)
void computeNmatrixAt (const FloatArray &iLocCoord, FloatMatrix &answer) override
virtual double giveOldNormalStress ()
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 (FloatArray &answer, TimeStep *tStep, int useUpdatedGpRecord=0)
virtual void giveInternalForcesVector_withIRulesAsSubcells (FloatArray &answer, TimeStep *tStep, int useUpdatedGpRecord=0)
virtual void computeStrainVector (FloatArray &answer, GaussPoint *gp, TimeStep *tStep)
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)
StructuralCrossSectiongiveStructuralCrossSection ()
 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
Elementoperator= (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 DofManagergiveInternalDofManager (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 IntArraygiveBodyLoadList () const
const IntArraygiveBoundaryLoadList () 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 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 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< IntegrationRulegiveBoundaryEdgeIntegrationRule (int order, int boundary)
virtual std::unique_ptr< IntegrationRulegiveBoundarySurfaceIntegrationRule (int order, int boundary)
int giveDofManagerNumber (int i) const
const IntArraygiveDofManArray () const
void addDofManager (DofManager *dMan)
DofManagergiveDofManager (int i) const
NodegiveNode (int i) const
virtual ElementSidegiveSide (int i) const
virtual FEInterpolationgiveInterpolation () const
virtual FEInterpolationgiveInterpolation (DofIDItem id) const
virtual const FEInterpolationgetGeometryInterpolation () const
virtual MaterialgiveMaterial ()
int giveMaterialNumber () const
CrossSectiongiveCrossSection ()
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.
virtual int giveNumberOfNodes () const
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 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 IntegrationRulegiveDefaultIntegrationRulePtr ()
int giveNumberOfIntegrationRules ()
virtual IntegrationRulegiveIntegrationRule (int i)
std::vector< std ::unique_ptr< IntegrationRule > > & giveIntegrationRulesArray ()
virtual int testElementExtension (ElementExtension ext)
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 bool computeLocalCoordinates (FloatArray &answer, const FloatArray &gcoords)
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 drawAnnotation (oofegGraphicContext &gc, TimeStep *tStep)
virtual void drawScalar (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 IntArraygivePartitionList () const
void setPartitionList (IntArray &pl)
virtual double predictRelativeComputationalCost ()
virtual double giveRelativeSelfComputationalCost ()
virtual double predictRelativeRedistributionCost ()
IntArraygiveBodyLoadArray ()
 Returns array containing load numbers of loads acting on element.
IntArraygiveBoundaryLoadArray ()
 Returns array containing load numbers of boundary loads acting on element.
void initializeFinish () override
void postInitialize () override
 Performs post initialization steps.
virtual const IntArray giveLocation ()
virtual void recalculateCoordinates (int nodeNumber, FloatArray &coords)
void setSharedEdgeID (int iedge, int globalID)
void setSharedSurfaceID (int isurf, int globalID)
const IntArraygiveSharedEdgeIDs () const
const IntArraygiveSharedSurfaceIDs () const
Public Member Functions inherited from oofem::FEMComponent
 FEMComponent (int n, Domain *d)
virtual ~FEMComponent ()=default
 Virtual destructor.
DomaingiveDomain () 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 InterfacegiveInterface (InterfaceType t)
std::string errorInfo (const char *func) const
 Returns string for prepending output (used by error reporting macros).

Protected Member Functions

void saveContext (DataStream &stream, ContextMode mode) override
void restoreContext (DataStream &stream, ContextMode mode) override
void computeBmatrixAt (GaussPoint *, FloatMatrix &, int=1, int=ALL_STRAINS) override
bool computeGtoLRotationMatrix (FloatMatrix &) 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 computeStiffnessMatrix (FloatMatrix &answer, MatResponseMode rMode, TimeStep *tStep) override
int giveNumberOfCrossSectionNodes () override
double givePitch ()
void computeGaussPoints () override
integrationDomain giveIntegrationDomain () const override
void giveGpCoordinates (FloatArray &coords) override
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

double kappa
double pitch
double length
double width
double thickness
FloatArray gpCoords
int couplingFlag
IntArray couplingNumbers
Protected Attributes inherited from oofem::StructuralElement
std::unique_ptr< FloatArrayinitialDisplacements
 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.
Domaindomain
 Link to domain object, useful for communicating with other FEM components.

Static Protected Attributes

static ParamKey IPK_Lattice2d_thick
static ParamKey IPK_Lattice2d_width
static ParamKey IPK_Lattice2d_gpcoords
static ParamKey IPK_Lattice2d_couplingflag
static ParamKey IPK_Lattice2d_couplingnumber

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

This class implements a 2-dimensional lattice element

Definition at line 55 of file lattice2d.h.

Constructor & Destructor Documentation

◆ Lattice2d()

◆ ~Lattice2d()

oofem::Lattice2d::~Lattice2d ( )
virtual

Definition at line 78 of file lattice2d.C.

Member Function Documentation

◆ computeBmatrixAt()

void oofem::Lattice2d::computeBmatrixAt ( GaussPoint * gp,
FloatMatrix & answer,
int lowerIndx = 1,
int upperIndx = ALL_STRAINS )
overrideprotectedvirtual

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
gpIntegration point for which answer is computed.
answerGeometric matrix of receiver.
lowerIndxIf 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).
upperIndxIf 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.

Reimplemented in oofem::Lattice2dBoundary.

Definition at line 119 of file lattice2d.C.

References oofem::FloatMatrix::at(), giveLength(), oofem::Element::giveNode(), gpCoords, oofem::FloatMatrix::resize(), oofem::FloatMatrix::times(), width, and oofem::FloatMatrix::zero().

Referenced by computeStiffnessMatrix().

◆ computeConstitutiveMatrixAt()

void oofem::Lattice2d::computeConstitutiveMatrixAt ( FloatMatrix & answer,
MatResponseMode rMode,
GaussPoint * gp,
TimeStep * tStep )
overrideprotectedvirtual

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

Parameters
answerConstitutive matrix.
rModeMaterial response mode of answer.
gpIntegration point for which constitutive matrix is computed.
tStepTime step.

Implements oofem::StructuralElement.

Definition at line 168 of file lattice2d.C.

References oofem::Element::giveCrossSection().

Referenced by computeStiffnessMatrix(), and oofem::Lattice2dBoundary::computeStiffnessMatrix().

◆ computeGaussPoints()

void oofem::Lattice2d::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 196 of file lattice2d.C.

References oofem::Element::integrationRulesArray.

Referenced by oofem::Lattice2dBoundary::postInitialize().

◆ computeGlobalCoordinates()

int oofem::Lattice2d::computeGlobalCoordinates ( FloatArray & answer,
const FloatArray & lcoords )
overridevirtual

This function is different from the standard computeGlobalCorrdinates function as it returns the global coordinates of the gausspoint independent to the value of the lcoords.

Reimplemented from oofem::Element.

Definition at line 354 of file lattice2d.C.

References oofem::FloatArray::at(), gpCoords, and oofem::FloatArray::resize().

◆ computeGtoLRotationMatrix()

bool oofem::Lattice2d::computeGtoLRotationMatrix ( FloatMatrix & answer)
overrideprotectedvirtual

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
answerComputed rotation matrix.
Returns
Nonzero if transformation is necessary, zero otherwise.

Reimplemented from oofem::Element.

Reimplemented in oofem::Lattice2dBoundary.

Definition at line 208 of file lattice2d.C.

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

◆ computeNumberOfDofs()

int oofem::Lattice2d::computeNumberOfDofs ( )
inlineoverridevirtual

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.

Reimplemented in oofem::Lattice2dBoundary.

Definition at line 92 of file lattice2d.h.

◆ computeStiffnessMatrix()

void oofem::Lattice2d::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
answerComputed stiffness matrix (symmetric).
rModeResponse mode.
tStepTime step.

Reimplemented from oofem::StructuralElement.

Reimplemented in oofem::Lattice2dBoundary.

Definition at line 180 of file lattice2d.C.

References oofem::FloatMatrix::beProductOf(), computeBmatrixAt(), computeConstitutiveMatrixAt(), computeVolumeAround(), oofem::Element::integrationRulesArray, oofem::FloatMatrix::plusProductUnsym(), oofem::FloatMatrix::resize(), and oofem::FloatMatrix::zero().

◆ computeStressVector()

void oofem::Lattice2d::computeStressVector ( FloatArray & answer,
const FloatArray & strain,
GaussPoint * gp,
TimeStep * tStep )
overrideprotectedvirtual

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
answerStress vector.
strainStrain vector.
gpIntegration point.
tStepTime step.

Implements oofem::StructuralElement.

Definition at line 174 of file lattice2d.C.

References oofem::Element::giveCrossSection().

Referenced by oofem::Lattice2dBoundary::giveInternalForcesVector().

◆ computeVolumeAround()

double oofem::Lattice2d::computeVolumeAround ( GaussPoint * gp)
overridevirtual

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
gpIntegration point for which volume is computed.
Returns
Volume for integration point.

Reimplemented from oofem::Element.

Reimplemented in oofem::Lattice2dBoundary.

Definition at line 231 of file lattice2d.C.

References giveLength(), oofem::GaussPoint::giveWeight(), thickness, and width.

Referenced by computeStiffnessMatrix().

◆ drawDeformedGeometry()

void oofem::Lattice2d::drawDeformedGeometry ( oofegGraphicContext & gc,
TimeStep * tStep,
UnknownType type )
overridevirtual

Reimplemented from oofem::Element.

Reimplemented in oofem::Lattice2dBoundary.

Definition at line 481 of file lattice2d.C.

References gc, oofem::Element::giveNode(), OOFEG_DEFORMED_GEOMETRY_LAYER, and OOFEG_DEFORMED_GEOMETRY_WIDTH.

Referenced by drawYourself().

◆ drawRawCrossSections()

void oofem::Lattice2d::drawRawCrossSections ( oofegGraphicContext & gc,
TimeStep * tStep )

◆ drawRawGeometry()

void oofem::Lattice2d::drawRawGeometry ( oofegGraphicContext & gc,
TimeStep * tStep )
overridevirtual

Reimplemented from oofem::Element.

Reimplemented in oofem::Lattice2dBoundary.

Definition at line 454 of file lattice2d.C.

References gc, oofem::Element::giveNode(), OOFEG_RAW_GEOMETRY_LAYER, and OOFEG_RAW_GEOMETRY_WIDTH.

Referenced by drawYourself().

◆ drawSpecial()

void oofem::Lattice2d::drawSpecial ( oofegGraphicContext & gc,
TimeStep * tStep )
overridevirtual

◆ drawYourself()

◆ giveArea()

double oofem::Lattice2d::giveArea ( )
inlineoverridevirtual

Returns the cross-sectional area of the lattice element.

Returns
Cross-section area.

Reimplemented from oofem::LatticeStructuralElement.

Definition at line 90 of file lattice2d.h.

◆ giveClassName()

const char * oofem::Lattice2d::giveClassName ( ) const
inlineoverridevirtual
Returns
Class name of the receiver.

Reimplemented from oofem::Element.

Reimplemented in oofem::Lattice2dBoundary.

Definition at line 111 of file lattice2d.h.

◆ giveCouplingFlag()

int oofem::Lattice2d::giveCouplingFlag ( )
inlineoverridevirtual

Returns the coupling flag.

Returns
couplingFlag

Reimplemented from oofem::LatticeStructuralElement.

Definition at line 104 of file lattice2d.h.

References couplingFlag.

◆ giveCouplingNumbers()

void oofem::Lattice2d::giveCouplingNumbers ( IntArray & numbers)
inlineoverridevirtual

Returns the coupling numbers

Returns
couplingNumbers.

Reimplemented from oofem::LatticeStructuralElement.

Definition at line 106 of file lattice2d.h.

◆ giveCrackFlag()

int oofem::Lattice2d::giveCrackFlag ( )
overridevirtual

◆ giveCrackWidth()

double oofem::Lattice2d::giveCrackWidth ( )
overridevirtual

◆ giveCrossSectionCoordinates()

void oofem::Lattice2d::giveCrossSectionCoordinates ( FloatArray & coords)
overridevirtual

This function gives the cross-section coordinates.

Reimplemented from oofem::LatticeStructuralElement.

Reimplemented in oofem::Lattice2dBoundary.

Definition at line 590 of file lattice2d.C.

References oofem::FloatArray::at(), oofem::Element::giveNode(), gpCoords, oofem::FloatArray::normalize(), oofem::FloatArray::resize(), width, and oofem::FloatArray::zero().

Referenced by drawRawCrossSections(), and drawSpecial().

◆ giveDeltaDissipation()

double oofem::Lattice2d::giveDeltaDissipation ( )
overridevirtual

Returns the increment of dissipation computed at the GaussPoint of the element. This function is used for the lattice specific vtk export.

Returns
increment of dissipation

Reimplemented from oofem::LatticeStructuralElement.

Definition at line 111 of file lattice2d.C.

References oofem::Element::giveDefaultIntegrationRulePtr(), oofem::LatticeMaterialStatus::giveDeltaDissipation(), and oofem::GaussPoint::giveMaterialStatus().

◆ giveDissipation()

double oofem::Lattice2d::giveDissipation ( )
overridevirtual

Returns the energy dissipation computed at the GaussPoint of the element. This function is used for the lattice specific vtk export.

Returns
dissipation

Reimplemented from oofem::LatticeStructuralElement.

Definition at line 102 of file lattice2d.C.

References oofem::Element::giveDefaultIntegrationRulePtr(), oofem::LatticeMaterialStatus::giveDissipation(), and oofem::GaussPoint::giveMaterialStatus().

◆ giveDofManDofIDMask()

void oofem::Lattice2d::giveDofManDofIDMask ( int inode,
IntArray & answer ) const
overridevirtual

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
inodeMask is computed for local dofmanager with inode number.
answerMask for node.

Reimplemented from oofem::Element.

Reimplemented in oofem::Lattice2dBoundary.

Definition at line 240 of file lattice2d.C.

◆ giveGeometryType()

Element_Geometry_Type oofem::Lattice2d::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 114 of file lattice2d.h.

◆ giveGpCoordinates()

void oofem::Lattice2d::giveGpCoordinates ( FloatArray & coords)
overrideprotectedvirtual

◆ giveInputRecordName()

const char * oofem::Lattice2d::giveInputRecordName ( ) const
inlineoverridevirtual
Returns
Input record name of the receiver.

Implements oofem::FEMComponent.

Reimplemented in oofem::Lattice2dBoundary.

Definition at line 110 of file lattice2d.h.

References _IFT_Lattice2d_Name.

◆ giveIntegrationDomain()

integrationDomain oofem::Lattice2d::giveIntegrationDomain ( ) const
inlineoverrideprotectedvirtual

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 138 of file lattice2d.h.

References oofem::_Line.

◆ giveLength()

double oofem::Lattice2d::giveLength ( )
overridevirtual

Returns the element length

Returns
Element length.

Reimplemented from oofem::LatticeStructuralElement.

Reimplemented in oofem::Lattice2dBoundary.

Definition at line 248 of file lattice2d.C.

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

Referenced by computeBmatrixAt(), and computeVolumeAround().

◆ giveLocalCoordinateSystem()

int oofem::Lattice2d::giveLocalCoordinateSystem ( FloatMatrix & answer)
overridevirtual

Returns local coordinate system of receiver Required by material models with ortho- and anisotrophy. Returns a unit vectors of local coordinate system at element stored row-wise. If local system is equal to global one, set answer to empty matrix and return zero value.

Returns
nonzero if answer computed, zero value if answer is empty, i.e. no transformation is necessary.

Reimplemented from oofem::Element.

Definition at line 316 of file lattice2d.C.

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

◆ giveNormalStress()

double oofem::Lattice2d::giveNormalStress ( )
overridevirtual

◆ giveNumberOfCrossSectionNodes()

int oofem::Lattice2d::giveNumberOfCrossSectionNodes ( )
inlineoverrideprotectedvirtual

Returns the number of crossSection nodes

Returns
Number of crosssection nodes.

Reimplemented from oofem::LatticeStructuralElement.

Definition at line 135 of file lattice2d.h.

◆ givePitch()

double oofem::Lattice2d::givePitch ( )
protected

◆ hasBeenUpdated()

int oofem::Lattice2d::hasBeenUpdated ( )
overridevirtual

◆ initializeFrom()

◆ restoreContext()

void oofem::Lattice2d::restoreContext ( DataStream & stream,
ContextMode mode )
overrideprotectedvirtual

Restores the receiver state previously written in stream.

See also
saveContext
Parameters
streamInput stream.
modeDetermines amount of info available in stream (state, definition, ...).
Exceptions
throwsan ContextIOERR exception if error encountered.

Reimplemented from oofem::Element.

Reimplemented in oofem::Lattice2dBoundary.

Definition at line 402 of file lattice2d.C.

References oofem::CIO_IOERR, oofem::CIO_OK, CM_Definition, couplingFlag, couplingNumbers, gpCoords, oofem::DataStream::read(), thickness, THROW_CIOERR, and width.

◆ saveContext()

void oofem::Lattice2d::saveContext ( DataStream & stream,
ContextMode mode )
overrideprotectedvirtual

Stores receiver state to output stream.

Parameters
streamOutput stream.
modeDetermines amount of info required in stream (state, definition, ...).
Exceptions
throwsan ContextIOERR exception if error encountered.

Reimplemented from oofem::Element.

Reimplemented in oofem::Lattice2dBoundary.

Definition at line 373 of file lattice2d.C.

References oofem::CIO_IOERR, oofem::CIO_OK, CM_Definition, couplingFlag, couplingNumbers, gpCoords, thickness, THROW_CIOERR, width, and oofem::DataStream::write().

Member Data Documentation

◆ couplingFlag

int oofem::Lattice2d::couplingFlag
protected

Definition at line 62 of file lattice2d.h.

Referenced by giveCouplingFlag(), initializeFrom(), Lattice2d(), restoreContext(), and saveContext().

◆ couplingNumbers

IntArray oofem::Lattice2d::couplingNumbers
protected

Definition at line 63 of file lattice2d.h.

Referenced by initializeFrom(), Lattice2d(), restoreContext(), and saveContext().

◆ gpCoords

◆ IPK_Lattice2d_couplingflag

ParamKey oofem::Lattice2d::IPK_Lattice2d_couplingflag
staticprotected

Definition at line 68 of file lattice2d.h.

Referenced by initializeFrom().

◆ IPK_Lattice2d_couplingnumber

ParamKey oofem::Lattice2d::IPK_Lattice2d_couplingnumber
staticprotected

Definition at line 69 of file lattice2d.h.

Referenced by initializeFrom().

◆ IPK_Lattice2d_gpcoords

ParamKey oofem::Lattice2d::IPK_Lattice2d_gpcoords
staticprotected

Definition at line 67 of file lattice2d.h.

Referenced by initializeFrom().

◆ IPK_Lattice2d_thick

ParamKey oofem::Lattice2d::IPK_Lattice2d_thick
staticprotected

Definition at line 65 of file lattice2d.h.

Referenced by initializeFrom().

◆ IPK_Lattice2d_width

ParamKey oofem::Lattice2d::IPK_Lattice2d_width
staticprotected

Definition at line 66 of file lattice2d.h.

Referenced by initializeFrom().

◆ kappa

double oofem::Lattice2d::kappa
protected

Definition at line 58 of file lattice2d.h.

Referenced by oofem::Lattice2dBoundary::Lattice2dBoundary().

◆ length

double oofem::Lattice2d::length
protected

Definition at line 58 of file lattice2d.h.

Referenced by oofem::Lattice2dBoundary::computeBmatrixAt(), giveLength(), and Lattice2d().

◆ pitch

◆ thickness

double oofem::Lattice2d::thickness
protected

◆ width


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

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