Class for creating an area section for 3D analysis with linear elastic material for a shell elements. More...

#include <Lin3DThinArea.hpp>

Inheritance diagram for Lin3DThinArea:

Collaboration diagram for Lin3DThinArea:

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Public Member Functions
	Lin3DThinArea (double t, std::unique_ptr< Material > &material)
	Creates a Section to be specified at a Gauss-point in an Element. More...

	~Lin3DThinArea ()
	Destroys this Lin3DThinArea object. More...

std::unique_ptr< Section >	CopySection ()
	Clone the 'Lin3DThinArea' 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...

Private Attributes
double	t
	Thickness. More...

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

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

Additional Inherited Members
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...

Detailed Description

Class for creating an area section for 3D analysis with linear elastic material for a shell elements.

See also: Section.hpp

Constructor & Destructor Documentation

◆ Lin3DThinArea()

Lin3DThinArea::Lin3DThinArea	(	double	t,
		std::unique_ptr< Material > &	material
	)

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

Parameters

t	The thickness the section.
material	The Material that this Section is made out of.

Note: Details about local axis rotation can be found at Local Axes.

See also: Lin3DThinArea::h, Lin3DThinArea::theMaterial.

◆ ~Lin3DThinArea()

Lin3DThinArea::~Lin3DThinArea ( )

Destroys this Lin3DThinArea object.

Member Function Documentation

◆ CommitState()

void Lin3DThinArea::CommitState ( )

virtual

Perform converged section state update.

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

Implements Section.

◆ CopySection()

std::unique_ptr<Section> Lin3DThinArea::CopySection ( )

virtual

Clone the 'Lin3DThinArea' section.

Returns: A Section pointer to the derived class.

See also: Section.

Implements Section.

◆ GetDensity()

Eigen::MatrixXd Lin3DThinArea::GetDensity ( )

virtual

Access the section density matrix.

Returns: The section density matrix.

Implements Section.

◆ GetInitialTangentStiffness()

Eigen::MatrixXd Lin3DThinArea::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 Lin3DThinArea::GetStrain ( )

virtual

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

Returns: Vector with the resultant strain components.

Implements Section.

◆ GetStrainAt()

Eigen::VectorXd Lin3DThinArea::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 Lin3DThinArea::GetStress ( )

virtual

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

Returns: Vector with the resultant stress components.

Implements Section.

◆ GetStressAt()

Eigen::VectorXd Lin3DThinArea::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 Lin3DThinArea::GetTangentStiffness ( )

virtual

Returns the section stiffness matrix.

Returns: Matrix with the section consistent tangent stiffness matrix.

Implements Section.

◆ InitialState()

void Lin3DThinArea::InitialState ( )

virtual

Brings the section states to its initial state.

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

Implements Section.

◆ ReverseState()

void Lin3DThinArea::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 Lin3DThinArea::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

◆ Strain

Eigen::VectorXd Lin3DThinArea::Strain

private

Generalized Strain vector.

◆ t

double Lin3DThinArea::t

private

Thickness.

◆ theMaterial

std::unique_ptr<Material> Lin3DThinArea::theMaterial

private

The section's material.

Public Member Functions

Private Attributes

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ Lin3DThinArea()

◆ ~Lin3DThinArea()

Member Function Documentation

◆ CommitState()

◆ CopySection()

◆ GetDensity()

◆ GetInitialTangentStiffness()

◆ GetStrain()

◆ GetStrainAt()

◆ GetStress()

◆ GetStressAt()

◆ GetTangentStiffness()

◆ InitialState()

◆ ReverseState()

◆ UpdateState()

Member Data Documentation

◆ Strain

◆ t

◆ theMaterial