Class for creating a generic fiber section for 3D analysis with linear/nonlinear material for a frame elements. More...

#include <Fib3DLineSection.hpp>

Inheritance diagram for Fib3DLineSection:

Collaboration diagram for Fib3DLineSection:

[legend]

Public Member Functions
	Fib3DLineSection (double h, double b, const std::vector< std::unique_ptr< Material > > &fibers, const std::vector< double > &zi, const std::vector< double > &yi, const std::vector< double > &Ai, double k2=1.0, double k3=1.0, double theta=0.0, unsigned int ip=10)
	Creates a Section to be specified at a Gauss-point in an Element. More...

	~Fib3DLineSection ()
	Destroys this Fib3DLineSection object. More...

std::unique_ptr< Section >	CopySection ()
	Clone the 'Fib3DLineSection' section. More...

Eigen::VectorXd	GetStrain ()
	Returns the resultant (generalised) strain vector over the section. More...

Eigen::VectorXd	GetStress ()
	Returns the resultant (generalised) stress vector over the section. More...

Eigen::MatrixXd	GetDensity ()
	Access the section density matrix. More...

Eigen::MatrixXd	GetTangentStiffness ()
	Returns the section stiffness matrix. More...

Eigen::MatrixXd	GetInitialTangentStiffness ()
	Returns the section initial stiffness matrix. More...

Eigen::VectorXd	GetStrainAt (double x3=0, double x2=0)
	Returns the section strain at given position. More...

Eigen::VectorXd	GetStressAt (double x3=0, double x2=0)
	Returns the section stress at given position. More...

void	CommitState ()
	Perform converged section state update. More...

void	ReverseState ()
	Reverse the section states to previous converged state. More...

void	InitialState ()
	Brings the section states to its initial state. More...

void	UpdateState (const Eigen::VectorXd strain, const unsigned int cond=0)
	Update the section state for this iteration. More...

Public Member Functions inherited from Section
	Section (std::string name)
	Creates a Section to be specified at a Gauss-point in an Element. More...

virtual	~Section ()=0
	Destroys this Section object. More...

std::string	GetName ()
	Gets Section name. More...

Protected Member Functions
void	ComputeSectionCenter ()
	Gets the section centroid. More...

unsigned int	FiberIndexAt (double x3=0, double x2=0)
	Return the fiber strain closer to (x3, x2) More...

Protected Member Functions inherited from Section
Eigen::MatrixXd	GetLineRotationMatrix (double theta)
	Gets Local Axis Rotation for Line Section according to provided angle. More...

Eigen::MatrixXd	GetAreaRotationMatrix (double Theta)
	Gets Local Axis Rotation for Area Section according to provided angle. More...

Eigen::MatrixXd	GetLineTranslationMatrix (double h, double b, double zc, double yc, unsigned int ip)
	Gets centroid translation axis for Line Section according to insertion point. More...

void	InsertionPointCoordinates (double &x3, double &x2, double h, double b, double zc, double yc, unsigned int ip)
	Gets the coordinate according to insertion point. More...

Eigen::MatrixXd	ComputeLineLocalAxes (double h, double b, double zcm, double ycm, double angle, unsigned int ip)
	Transforms generalised strain/stresses from Element to Section local coordinate. More...

Private Attributes
double	h
	Height. More...

double	b
	Width. More...

double	zcm
	Rotation angle. More...

double	ycm
	Rotation angle. More...

double	kappa2
	Shear area factor (As2/A) along the x2-axis. More...

double	kappa3
	Shear area factor (As3/A) along the x3-axis. More...

double	Theta
	Rotation angle. More...

unsigned int	InsertPoint
	Local axis coordinate. More...

unsigned int	NumberOfFibers
	Local axis coordinate. More...

Eigen::VectorXd	Strain
	Generalized Strain vector. More...

std::vector< double >	zi
	The horizontal (x3) local coordinates of each fiber. More...

std::vector< double >	yi
	The vertical (x2) local coordinates of each fiber. More...

std::vector< double >	Ai
	The discretized area value of each fiber. More...

std::vector< std::unique_ptr< Material > >	theFiber
	The section's fiber list. More...

Detailed Description

Class for creating a generic fiber section for 3D analysis with linear/nonlinear material for a frame elements.

See also: Section.hpp

Constructor & Destructor Documentation

◆ Fib3DLineSection()

Fib3DLineSection::Fib3DLineSection	(	double	h,
		double	b,
		const std::vector< std::unique_ptr< Material > > &	fibers,
		const std::vector< double > &	zi,
		const std::vector< double > &	yi,
		const std::vector< double > &	Ai,
		double	k2 = `1.0`,
		double	k3 = `1.0`,
		double	theta = `0.0`,
		unsigned int	ip = `10`
	)

Creates a Section to be specified at a Gauss-point in an Element.

Parameters

fibers	A vector of fibers for each discretized area.
zi	A vector with horizontal coordinate (x3) of each fiber.
yi	A vector with vertical coordinate (x2) of each fiber.
Ai	A vector with the area values of each fiber.
k2	Shear area factor along the x2-axis.
k3	Shear area factor along the x2-axis.
theta	The angle of rotation about x3-axis.
ip	The insertion point where the section axes are located.

Note: Details about insertion point and local axis rotation can be found at Insertion Point and Local Axes.

See also: Fib3DLineSection::h, Fib3DLineSection::b, Fib3DLineSection::theMaterial, Fib3DLineSection::Theta, Fib3DLineSection::InsertPoint.

◆ ~Fib3DLineSection()

Fib3DLineSection::~Fib3DLineSection ( )

Destroys this Fib3DLineSection object.

Member Function Documentation

◆ CommitState()

void Fib3DLineSection::CommitState ( )

virtual

Perform converged section state update.

Note: This function sets the trail stress and strain as converged.

Implements Section.

◆ ComputeSectionCenter()

void Fib3DLineSection::ComputeSectionCenter ( )

protected

Gets the section centroid.

See also: The geometric properties can be revisited at Fib3DLineSection.

◆ CopySection()

std::unique_ptr<Section> Fib3DLineSection::CopySection ( )

virtual

Clone the 'Fib3DLineSection' section.

Returns: A Section pointer to the derived class.

See also: Section.

Implements Section.

◆ FiberIndexAt()

unsigned int Fib3DLineSection::FiberIndexAt	(	double	x3 = `0`,
		double	x2 = `0`
	)

protected

Return the fiber strain closer to (x3, x2)

Parameters

x3	Position on the x3-axis where the stress is evaluated.
x2	Position on the x2-axis where the stress is evaluated.

Returns: Index of the fiber closer to coordinate (x3,x2).

◆ GetDensity()

Eigen::MatrixXd Fib3DLineSection::GetDensity ( )

virtual

Access the section density matrix.

Returns: The section density matrix.

Implements Section.

◆ GetInitialTangentStiffness()

Eigen::MatrixXd Fib3DLineSection::GetInitialTangentStiffness ( )

virtual

Returns the section initial stiffness matrix.

Returns: Matrix with the initial section tangent stiffness matrix.

Note: The initial tangent stiffness matrix is computed when the generalized strain vector is zero.

Implements Section.

◆ GetStrain()

Eigen::VectorXd Fib3DLineSection::GetStrain ( )

virtual

Returns the resultant (generalised) strain vector over the section.

Returns: Vector with the resultant strain components.

Implements Section.

◆ GetStrainAt()

Eigen::VectorXd Fib3DLineSection::GetStrainAt	(	double	x3 = `0`,
		double	x2 = `0`
	)

virtual

Returns the section strain at given position.

Parameters

x3	Position on the x3-axis where the strain is evaluated.
x2	Position on the x2-axis where the strain is evaluated.

Returns: Vector with the strain components at coordinate (x3,x2).

Implements Section.

◆ GetStress()

Eigen::VectorXd Fib3DLineSection::GetStress ( )

virtual

Returns the resultant (generalised) stress vector over the section.

Returns: Vector with the resultant stress components.

Implements Section.

◆ GetStressAt()

Eigen::VectorXd Fib3DLineSection::GetStressAt	(	double	x3 = `0`,
		double	x2 = `0`
	)

virtual

Returns the section stress at given position.

Parameters

x3	Position on the x3-axis where the stress is evaluated.
x2	Position on the x2-axis where the stress is evaluated.

Returns: Vector with the stress components at coordinate (x3,x2).

Implements Section.

◆ GetTangentStiffness()

Eigen::MatrixXd Fib3DLineSection::GetTangentStiffness ( )

virtual

Returns the section stiffness matrix.

Returns: Matrix with the section consistent tangent stiffness matrix.

Implements Section.

◆ InitialState()

void Fib3DLineSection::InitialState ( )

virtual

Brings the section states to its initial state.

Note: This function returns the fiber states to the beginning.

Implements Section.

◆ ReverseState()

void Fib3DLineSection::ReverseState ( )

virtual

Reverse the section states to previous converged state.

Note: This function returns the fiber states to previous converged states.

Implements Section.

◆ UpdateState()

void Fib3DLineSection::UpdateState	(	const Eigen::VectorXd	strain,
		const unsigned int	cond = `0`
	)

virtual

Update the section state for this iteration.

Parameters

strain	Vector with the strain components at this Gauss-point.
cond	If the the elastic/plastic fiber components will be updated.

Note: This function computes the strain and tanget stiffness matrix once the trial strain converged.

Implements Section.

Member Data Documentation

◆ Ai

std::vector<double> Fib3DLineSection::Ai

private

The discretized area value of each fiber.

◆ b

double Fib3DLineSection::b

private

Width.

◆ h

double Fib3DLineSection::h

private

Height.

◆ InsertPoint

unsigned int Fib3DLineSection::InsertPoint

private

Local axis coordinate.

◆ kappa2

double Fib3DLineSection::kappa2

private

Shear area factor (As2/A) along the x2-axis.

◆ kappa3

double Fib3DLineSection::kappa3

private

Shear area factor (As3/A) along the x3-axis.

◆ NumberOfFibers

unsigned int Fib3DLineSection::NumberOfFibers

private

Local axis coordinate.

◆ Strain

Eigen::VectorXd Fib3DLineSection::Strain

private

Generalized Strain vector.

◆ theFiber

std::vector<std::unique_ptr<Material> > Fib3DLineSection::theFiber

private

The section's fiber list.

◆ Theta

double Fib3DLineSection::Theta

private

Rotation angle.

◆ ycm

double Fib3DLineSection::ycm

private

Rotation angle.

◆ yi

std::vector<double> Fib3DLineSection::yi

private

The vertical (x2) local coordinates of each fiber.

◆ zcm

double Fib3DLineSection::zcm

private

Rotation angle.

◆ zi

std::vector<double> Fib3DLineSection::zi

private

The horizontal (x3) local coordinates of each fiber.

Public Member Functions

Protected Member Functions

Private Attributes

Detailed Description

Constructor & Destructor Documentation

◆ Fib3DLineSection()

◆ ~Fib3DLineSection()

Member Function Documentation

◆ CommitState()

◆ ComputeSectionCenter()

◆ CopySection()

◆ FiberIndexAt()

◆ GetDensity()

◆ GetInitialTangentStiffness()

◆ GetStrain()

◆ GetStrainAt()

◆ GetStress()

◆ GetStressAt()

◆ GetTangentStiffness()

◆ InitialState()

◆ ReverseState()

◆ UpdateState()

Member Data Documentation

◆ Ai

◆ b

◆ h

◆ InsertPoint

◆ kappa2

◆ kappa3

◆ NumberOfFibers

◆ Strain

◆ theFiber

◆ Theta

◆ ycm

◆ yi

◆ zcm

◆ zi