XC::ElasticSection2d Class Reference

Cross section with linear elastic material for bi-dimensional problesm (3 degrees of freedom in each section). More...

#include <ElasticSection2d.h>

Inheritance diagram for XC::ElasticSection2d:

Public Member Functions
	ElasticSection2d (int tag, double E, double A, double I)
	To construct an ElasticSection2D with an integer identifier {tag}, an elastic modulus of \(E\), a second moment of area \(I\), a section area of \(A\). More...
	ElasticSection2d (int tag, double EA, double EI)
	ElasticSection2d (int tag, MaterialHandler *mat_ldr=nullptr)
	Constructor. More...
	ElasticSection2d (void)
	Default constructor.
const Vector &	getStressResultant (void) const
	Returns the cross-section stress resultant. More...
const Matrix &	getSectionTangent (void) const
	Returns the tangent stiffness matrix. More...
const Matrix &	getInitialTangent (void) const
	Returns the initial tangent stiffness matrix.
const Matrix &	getSectionFlexibility (void) const
	Returns the flexibility matrix. More...
const Matrix &	getInitialFlexibility (void) const
	Returns the initial flexibility matrix.
SectionForceDeformation *	getCopy (void) const
	Virtual constructor.
const ResponseId &	getType (void) const
	Section stiffness contribution response identifiers. More...
int	getOrder (void) const
	Return 3.
int	sendSelf (CommParameters &)
	Sends object through the channel being passed as parameter.
int	recvSelf (const CommParameters &)
	Receives object through the channel being passed as parameter.
void	Print (std::ostream &s, int flag=0) const
	Print stuff.
Public Member Functions inherited from XC::BaseElasticSection2d
	BaseElasticSection2d (int tag, int classTag, const size_t &dim, const double &E, const double &A, const double &I, double G, const double &alpha)
	Constructor. More...
	BaseElasticSection2d (int tag, int classTag, const size_t &dim, MaterialHandler *mat_ldr=nullptr)
	Constructor. More...
	BaseElasticSection2d (int classTag, const size_t &dim)
	Constructor. More...
const CrossSectionProperties2d &	getCrossSectionProperties (void) const
	Returns the mechanical properties of the section.
void	setCrossSectionProperties (const CrossSectionProperties2d &)
void	sectionGeometry (const std::string &)
double	getStrain (const double &y, const double &z=0) const
	brief Returns strain at position being passed as parameter.
void	Print (std::ostream &s, int flag=0) const
	Print stuff.
Public Member Functions inherited from XC::BaseElasticSection
	BaseElasticSection (int tag, int classTag, const size_t &dim, MaterialHandler *mat_ldr=nullptr)
	Constructor. More...
int	commitState (void)
	Commits the section state.
int	revertToLastCommit (void)
	Revert to the last commited state.
int	revertToStart (void)
	Revert to the initial state.
int	setInitialSectionDeformation (const Vector &)
	Set the initial (generalized) deformation of the section.
int	setTrialSectionDeformation (const Vector &)
	Set the trial (generalized) deformation of the section. More...
void	zeroInitialSectionDeformation (void)
const Vector &	getInitialSectionDeformation (void) const
const Vector &	getSectionDeformation (void) const
	Returns the current value of the (generalized) deformation.
void	Print (std::ostream &s, int flag=0) const
	Printing.
Public Member Functions inherited from XC::PrismaticBarCrossSection
	PrismaticBarCrossSection (int tag, int classTag, MaterialHandler *mat_ldr=nullptr)
	Constructor.
	PrismaticBarCrossSection (const PrismaticBarCrossSection &)
	Copy constructor.
PrismaticBarCrossSection &	operator= (const PrismaticBarCrossSection &)
	Assignment operator.
int	setTrialDeformationPlane (const DeformationPlane &)
	Sets the deformation plane of the section.
int	setInitialDeformationPlane (const DeformationPlane &)
	Sets the plane that defines initial strains of the section.
virtual const Vector &	getGeneralizedStrainVector (const DeformationPlane &) const
	Return the generalized strains vector that corresponds to the deformation plane being passed as parameter. More...
DeformationPlane	getDeformationPlane (void) const
	Returns the generalized strains vector of the cross-section.
DeformationPlane	getInitialDeformationPlane (void) const
	Returns initial strain plane.
double	getN (void) const
	Returns internal axial force.
double	getMy (void) const
	Returns internal bending moment around y axis.
double	getMz (void) const
	Returns internal bending moment around z axis.
virtual double	getCenterOfMassY (void) const
	Returns the coordenada «y» del centro de gravedad of the cross-section.
virtual double	getCenterOfMassZ (void) const
	Returns the coordenada «z» del centro de gravedad of the cross-section.
Pos2d	getCenterOfMass (void) const
	Returns the position of the cross-section centroid.
Line2d	getNeutralAxis (void) const
	Returns the neutral axis.
Line2d	getInternalForcesAxis (void) const
	Returns the axis that is aligned with the cross-section internal forces. More...
Pos2d	getPointOnTensionedHalfPlane (void) const
	Returns (if possible) a point in the tensioned region.
Pos2d	getPointOnCompressedHalfPlane (void) const
	Returns (if possible) a point in the compressed region.
HalfPlane2d	getTensionedHalfPlane (void) const
	Returns the tensioned half-plane.
HalfPlane2d	getTensionedHalfPlane (const Line2d &) const
	Returns the tensioned half-plane defined by the edge being passed as parameter. More...
HalfPlane2d	getCompressedHalfPlane (void) const
	Returns the compressed half-plane.
HalfPlane2d	getCompressedHalfPlane (const Line2d &) const
	Returns the compressed half-plane defined by the edge being passed as parameter. More...
const double &	EA (void) const
	Returns the section axial stiffness.
const double &	EIz (void) const
	Returns the bending stiffness of the cross-section en torno the z axis.
const double &	EIy (void) const
	Returns the bending stiffness of the cross-section en torno the y axis.
const double &	EIyz (void) const
	Returns the product of inertia multiplicado por el Young's modulus. More...
double	getTheta (void) const
	Returns the angle that defines un principal axis of inertia.
double	getEI1 (void) const
	Returns the bending stiffness around the major principal axis of inertia. More...
double	getEI2 (void) const
	Returns the bending stiffness en torno al principal axis of inertia menor. More...
PrincipalAxesOfInertia2D	getInertiaAxes (void) const
	Returns the principal axes of inertia of the cross-section.
Vector2d	getAxis1VDir (void) const
	Returns the vector of the principal axis I.
Vector2d	getVDirStrongAxis (void) const
	Returns the vector of the principal axis I.
Vector2d	getAxis2VDir (void) const
	Returns the vector of the principal axis II.
Vector2d	getVDirWeakAxis (void) const
	Returns the vector of the principal axis II.
bool	hayAxil (const double &tol=1e-4) const
	Returns true if the section is subjected to an axial force.
bool	isSubjectedToShear (const double &tol=1e-4) const
	Returns true if the section is subjected to a shearing force.
bool	isSubjectedToBending (const double &tol=1e-4) const
	Returns true if the section is subjected to a bending moment.
bool	hayTorsor (const double &tol=1e-4) const
	Returns true if the section is subjected to a torsional force.
Public Member Functions inherited from XC::SectionForceDeformation
	SectionForceDeformation (int tag, int classTag, MaterialHandler *mat_ldr=nullptr)
	Constructor. More...
	SectionForceDeformation (const SectionForceDeformation &)
	Copy constructor.
SectionForceDeformation &	operator= (const SectionForceDeformation &)
	Assignment operator.
virtual	~SectionForceDeformation (void)
	Destructor.
MaterialHandler *	getMaterialHandler (void)
virtual int	addInitialSectionDeformation (const Vector &)
	Adds to the generalized strains vector inicial el being passed as parameter. More...
void	setInitialGeneralizedStrain (const Vector &iS)
const Vector &	getInitialGeneralizedStrain (void) const
double	getSectionDeformation (const int &) const
	Returns 'defID' component of the generalized strain vector.
double	getSectionDeformationByName (const std::string &) const
	Returns section's trial deformation component by its name.
double	getStressResultant (const int &) const
	Returns 'defID' component of the generalized stress vector.
double	getStressResultantByName (const std::string &) const
	Returns the esfuerzos de la placa.
const Vector &	getGeneralizedStress (void) const
virtual const Vector &	getGeneralizedStrain (void) const
virtual double	getRho (void) const
	Returns the density (mass per unit length/area/volume) of the section. More...
std::string	getTypeString (void) const
	Comma separated internal forces names to with the section contributes with stiffness.
virtual Response *	setResponse (const std::vector< std::string > &argv, Information &info)
	Returns the respuesta of the section.
virtual int	getResponse (int responseID, Information &info)
	Returns section response.
virtual int	setParameter (const std::vector< std::string > &argv, Parameter &param)
	Sets the value param to the parameter argv.
virtual int	updateParameter (int parameterID, Information &info)
	Updates the parameter identified by parameterID with info.
virtual int	activateParameter (int parameterID)
	Activates the parameter identified by parameterID.
virtual const Vector &	getStressResultantSensitivity (int gradNumber, bool conditional)
virtual const Vector &	getSectionDeformationSensitivity (int gradNumber)
virtual const Matrix &	getSectionTangentSensitivity (int gradNumber)
virtual double	getRhoSensitivity (int gradNumber)
virtual int	commitSensitivity (const Vector &sectionDeformationGradient, int gradNumber, int numGrads)
Public Member Functions inherited from XC::Material
	Material (int tag, int classTag)
	Constructor. More...
const MaterialHandler *	getMaterialHandler (void) const
	Returns (if possible) a pointer to the material handler (owner).
MaterialHandler *	getMaterialHandler (void)
	Returs a pointer to the material handler (if possible).
std::string	getName (void) const
	Returns the name of the material.
virtual int	setVariable (const std::string &argv)
virtual int	getVariable (int variableID, double &info)
virtual void	update (void)
	Update state variables for the material according to the new values of the parameters. More...
virtual void	addInitialGeneralizedStrain (const Vector &)
	Increments generalized strain. More...
virtual void	zeroInitialGeneralizedStrain (void)
	zeroes initial generalized strain
Public Member Functions inherited from XC::TaggedObject
	TaggedObject (int tag, CommandEntity *owr=nullptr)
	Constructor. More...
void	assignTag (int newTag)
	Set tag (to be called from Python interface).
int	getTag (void) const
	Returns the tag associated with the object.
virtual void	Print (std::ostream &, int flag=0)
	Print stuff.
Public Member Functions inherited from XC::MovableObject
	MovableObject (int classTag, int dbTag)
	Constructor. More...
	MovableObject (int classTag)
	Constructor. More...
	MovableObject (const MovableObject &)
	Copy constructor. Doesn't copy the dbTag.
MovableObject &	operator= (const MovableObject &)
	Assignment operator. Doesn't copy the dbTag.
int	getClassTag (void) const
	Return the class identifier.
int	getDbTag (void) const
	Return the object identifier in the database.
int	getDbTag (CommParameters &)
	Return the object identifier in the database.
void	setDbTag (int dbTag)
	Sets the object identifier in the database.
void	setDbTag (CommParameters &)
	Sets the object identifier in the database if not already set. More...
virtual int	setVariable (const std::string &variable, Information &)
	Set the value of the variable idenfified by var.
virtual int	getVariable (const std::string &variable, Information &)
	Return the value of the variable idenfified by var.
Public Member Functions inherited from XC::DistributedBase
	DistributedBase (void)
	Constructor.
virtual DbTagData &	getDbTagData (void) const
	Returns a vector to store class dbTags.
const int &	getDbTagDataPos (const int &i) const
	Returns the data at the i-th position.
void	setDbTagDataPos (const int &i, const int &v)
	Sets the data at the i-th position.
void	inicComm (const int &dataSize) const
	Initializes communication.

Additional Inherited Members
Protected Member Functions inherited from XC::BaseElasticSection2d
int	sendData (CommParameters &)
	Send object members through the channel being passed as parameter.
int	recvData (const CommParameters &)
	Receives object members through the channel being passed as parameter.
Protected Member Functions inherited from XC::BaseElasticSection
int	sendData (CommParameters &)
	Send object members through the channel being passed as parameter.
int	recvData (const CommParameters &)
	Receives object members through the channel being passed as parameter.
Protected Member Functions inherited from XC::SectionForceDeformation
int	sendData (CommParameters &cp)
	Send object members through the channel defined in cp.
int	recvData (const CommParameters &cp)
	Receives object members through the channel defined in cp.
Protected Member Functions inherited from XC::TaggedObject
void	setTag (int newTag)
	Set tag. More...
Protected Attributes inherited from XC::BaseElasticSection2d
CrossSectionProperties2d	ctes_scc
	Mechanical properties of the section.
Protected Attributes inherited from XC::BaseElasticSection
Vector	eTrial
	section trial deformations
Vector	eInic
	section initial deformations
Vector	eCommit
	section commited deformations
Protected Attributes inherited from XC::SectionForceDeformation
Matrix *	fDefault
	Default flexibility matrix.
MaterialHandler *	material_handler
	Material definition handler (search,...).

Detailed Description

Cross section with linear elastic material for bi-dimensional problesm (3 degrees of freedom in each section).

provides the implementation of a section which exhibits uncoupled elastic behavior in axial, moment, and shear response.

Constructor & Destructor Documentation

ElasticSection2d() [1/2]

XC::ElasticSection2d::ElasticSection2d	(	int	tag,
		double	E,
		double	A,
		double	I
	)

To construct an ElasticSection2D with an integer identifier {tag}, an elastic modulus of \(E\), a second moment of area \(I\), a section area of \(A\).

Parameters

tag	identifier for the object.
E	elastic modulus
A	area.
I	moment of inertia.

ElasticSection2d() [2/2]

XC::ElasticSection2d::ElasticSection2d	(	int	tag,
		MaterialHandler *	mat_ldr = nullptr
	)

Constructor.

Parameters

tag	identifier for the object.
mat_ldr	manager of the material objects.

Member Function Documentation

getSectionFlexibility()

const XC::Matrix & XC::ElasticSection2d::getSectionFlexibility ( void  ) const

virtual

Returns the flexibility matrix.

\[ //! \begin{equation} //! fsec = \left[ //! \begin{array}{ccc} //! \frac{1}{EA} & 0 & 0 //! 0 & \frac{1}{EI} & 0 //! 0 & 0 & \frac{1}{\alpha GA} //! \end{array} //! \right] //! \end{equation} //! \]

Reimplemented from XC::SectionForceDeformation.

getSectionTangent()

const XC::Matrix & XC::ElasticSection2d::getSectionTangent ( void  ) const

virtual

Returns the tangent stiffness matrix.

\[ //! \begin{equation} //! fsec = \left[ //! \begin{array}{ccc} //! EA & 0 & 0 //! 0 & EI & 0 //! 0 & 0 & \alpha GA //! \end{array} //! \right] //! \end{equation} //! \]

Implements XC::SectionForceDeformation.

getStressResultant()

const XC::Vector & XC::ElasticSection2d::getStressResultant ( void  ) const

virtual

Returns the cross-section stress resultant.

Returns the section stress resultants, \(ssec\), the product of the section stiffness matrix, \(ksec\), and the section deformation vector, \(esec\),

\[ //! \begin{equation} //! ssec = ksec esec = \left[ //! \begin{array}{c} //! P //! M_z //! V_y //! \end{array} //! \right] //! \end{equation} //! \]

where \(P\) is the axial force, \(M_z\) is the bending moment about the local z-axis, and \(V_y\) is the shear force along the local y-axis.

Implements XC::SectionForceDeformation.

getType()

const XC::ResponseId & XC::ElasticSection2d::getType ( void  ) const

virtual

Section stiffness contribution response identifiers.

Returns the section ID code that indicates the ordering of section response quantities. For this section, axial response is the first quantity, bending about the local z-axis is the second, and shear along the local y-axis is third.

\[ //! code := \left[ //! \begin{array}{c} //! 2 //! 1 //! 3 //! \end{array} //! \right] //! \]

Implements XC::SectionForceDeformation.

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

• src/material/section/elastic_section/ElasticSection2d.h
• src/material/section/elastic_section/ElasticSection2d.cpp