Class for creating a solid rectangular section for 2D analysis with linear elastic material for a frame elements. More...

#include <Lin2DRectangular.hpp>

Inheritance diagram for Lin2DRectangular:

[legend]

Collaboration diagram for Lin2DRectangular:

[legend]

Public Member Functions
	Lin2DRectangular (double h, double b, std::unique_ptr< Material > &material, double theta=0.0, unsigned int ip=10)
	Creates a Section to be specified at a Gauss-point in an Element. More...

	~Lin2DRectangular ()
	Destroys this Lin2DCircular object. More...

std::unique_ptr< Section >	CopySection ()
	Clone the 'Lin2DRectangular' 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)
	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
double	GetArea ()
	Computes the Angle area. More...

double	GetShearArea2 ()
	Computes the Angle shear area. More...

double	GetShearArea3 ()
	Computes the Angle shear area. More...

double	GetInertiaAxis2 ()
	Computes the Angle flexural inertia. More...

double	GetInertiaAxis3 ()
	Computes the Angle flexural inertia. More...

void	ComputeSectionCenter (double &zcm, double &ycm)
	Gets the section centroid. 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	Theta
	Rotation angle. More...

unsigned int	InsertPoint
	Local axis coordinate. More...

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

std::unique_ptr< Material >	theMaterial
	The section's material. More...

Detailed Description

Class for creating a solid rectangular section for 2D analysis with linear elastic material for a frame elements.

See also: Section.hpp

Constructor & Destructor Documentation

◆ Lin2DRectangular()

Lin2DRectangular::Lin2DRectangular	(	double	h,
		double	b,
		std::unique_ptr< Material > &	material,
		double	theta = `0.0`,
		unsigned int	ip = `10`
	)

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

Parameters

h	The total height of the section.
b	The total width of the section.
material	The Material that this Section is made out of.
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: Lin2DRectangular::h, Lin2DRectangular::b, Lin2DRectangular::theMaterial, Lin2DRectangular::Theta, Lin2DRectangular::InsertPoint.

◆ ~Lin2DRectangular()

Lin2DRectangular::~Lin2DRectangular ( )

Destroys this Lin2DCircular object.

Member Function Documentation

◆ CommitState()

void Lin2DRectangular::CommitState ( )

virtual

Perform converged section state update.

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

Implements Section.

◆ ComputeSectionCenter()

void Lin2DRectangular::ComputeSectionCenter	(	double &	zcm,
		double &	ycm
	)

protected

Gets the section centroid.

Parameters

zcm	The centroid position along x3 axis.
ycm	The centroid position along x2 axis.

See also: The geometric properties can be revisited at Lin3DRectangular.

◆ CopySection()

std::unique_ptr<Section> Lin2DRectangular::CopySection ( )

virtual

Clone the 'Lin2DRectangular' section.

Returns: A Section pointer to the derived class.

See also: Section.

Implements Section.

◆ GetArea()

double Lin2DRectangular::GetArea ( )

protected

Computes the Angle area.

Returns: A constant with the cross-section area.

See also: The geometric properties can be revisited at Lin3DRectangular.

◆ GetDensity()

Eigen::MatrixXd Lin2DRectangular::GetDensity ( )

virtual

Access the section density matrix.

Returns: The section density matrix.

Implements Section.

◆ GetInertiaAxis2()

double Lin2DRectangular::GetInertiaAxis2 ( )

protected

Computes the Angle flexural inertia.

Returns: A constant with the moment of inertia about axis x2.

See also: The geometric properties can be revisited at Lin3DRectangular.

◆ GetInertiaAxis3()

double Lin2DRectangular::GetInertiaAxis3 ( )

protected

Computes the Angle flexural inertia.

Returns: A constant with the moment of inertia about axis x3.

See also: The geometric properties can be revisited at Lin3DRectangular.

◆ GetInitialTangentStiffness()

Eigen::MatrixXd Lin2DRectangular::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.

◆ GetShearArea2()

double Lin2DRectangular::GetShearArea2 ( )

protected

Computes the Angle shear area.

Returns: A constant with the shear area along axis x2.

See also: The geometric properties can be revisited at Lin3DRectangular.

◆ GetShearArea3()

double Lin2DRectangular::GetShearArea3 ( )

protected

Computes the Angle shear area.

Returns: A constant with the shear area along axis x3.

See also: The geometric properties can be revisited at Lin3DRectangular.

◆ GetStrain()

Eigen::VectorXd Lin2DRectangular::GetStrain ( )

virtual

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

Returns: Vector with the resultant strain components.

Implements Section.

◆ GetStrainAt()

Eigen::VectorXd Lin2DRectangular::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 Lin2DRectangular::GetStress ( )

virtual

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

Returns: Vector with the resultant stress components.

Implements Section.

◆ GetStressAt()

Eigen::VectorXd Lin2DRectangular::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 Lin2DRectangular::GetTangentStiffness ( )

virtual

Returns the section stiffness matrix.

Returns: Matrix with the section consistent tangent stiffness matrix.

Implements Section.

◆ InitialState()

void Lin2DRectangular::InitialState ( )

virtual

Brings the section states to its initial state.

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

Implements Section.

◆ ReverseState()

void Lin2DRectangular::ReverseState ( )

virtual

Reverse the section states to previous converged state.

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

Implements Section.

◆ UpdateState()

void Lin2DRectangular::UpdateState	(	const Eigen::VectorXd	strain,
		const unsigned int	cond
	)

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 material components will be updated.

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

Implements Section.

Member Data Documentation

◆ b

double Lin2DRectangular::b

private

Width.

◆ h

double Lin2DRectangular::h

private

Height.

◆ InsertPoint

unsigned int Lin2DRectangular::InsertPoint

private

Local axis coordinate.

◆ Strain

Eigen::VectorXd Lin2DRectangular::Strain

private

Generalized Strain vector.

◆ theMaterial

std::unique_ptr<Material> Lin2DRectangular::theMaterial

private

The section's material.

◆ Theta

double Lin2DRectangular::Theta

private

Rotation angle.

Public Member Functions

Protected Member Functions

Private Attributes

Detailed Description

Constructor & Destructor Documentation

◆ Lin2DRectangular()

◆ ~Lin2DRectangular()

Member Function Documentation

◆ CommitState()

◆ ComputeSectionCenter()

◆ CopySection()

◆ GetArea()

◆ GetDensity()

◆ GetInertiaAxis2()

◆ GetInertiaAxis3()

◆ GetInitialTangentStiffness()

◆ GetShearArea2()

◆ GetShearArea3()

◆ GetStrain()

◆ GetStrainAt()

◆ GetStress()

◆ GetStressAt()

◆ GetTangentStiffness()

◆ InitialState()

◆ ReverseState()

◆ UpdateState()

Member Data Documentation

◆ b

◆ h

◆ InsertPoint

◆ Strain

◆ theMaterial

◆ Theta