Class for creating a bidirectional 2D two-node link element using Yamamoto HDRB formulation. More...

#include <HDRBYamamoto2DLink.hpp>

Inheritance diagram for HDRBYamamoto2DLink:

Collaboration diagram for HDRBYamamoto2DLink:

Public Member Functions
	HDRBYamamoto2DLink (const std::vector< unsigned int > nodes, double de, double di, double hr, unsigned int dim)
	Creates a HDRBYamamoto2DLink in a finite element Mesh. More...

	~HDRBYamamoto2DLink ()
	Destroys this HDRBYamamoto2DLink object. More...

void	CommitState ()
	Save the material states in the element. More...

void	ReverseState ()
	Reverse the material/section states to previous converged state in this element. More...

void	InitialState ()
	Brings the material/section state to its initial state in this element. More...

void	UpdateState ()
	Update the material states in the element. More...

void	SetDomain (std::map< unsigned int, std::shared_ptr< Node > > &nodes)
	Sets the finite element dependance among objects. More...

void	SetDamping (const std::shared_ptr< Damping > &damping)
	Sets the damping model. More...

std::vector< unsigned int >	GetTotalDegreeOfFreedom () const
	Gets the list of total-degree of freedom of this Element. More...

Eigen::MatrixXd	GetStrain () const
	Gets the material/section (generalised) strain. More...

Eigen::MatrixXd	GetStress () const
	Gets the material/section (generalised) stress. More...

Eigen::MatrixXd	GetStrainRate () const
	Gets the material/section (generalised) strain-rate. More...

Eigen::MatrixXd	GetStrainAt (double x3, double x2) const
	Gets the material strain in section at coordinate (x3,x2). More...

Eigen::MatrixXd	GetStressAt (double x3, double x2) const
	Gets the material stress in section at coordinate (x3,x2). More...

Eigen::VectorXd	GetVTKResponse (std::string response) const
	Gets the element internal response in VTK format for Paraview display. More...

double	ComputeEnergy ()
	Computes the element energy for a given deformation. More...

Eigen::MatrixXd	ComputeMassMatrix ()
	Compute the lumped/consistent mass matrix of the element. More...

Eigen::MatrixXd	ComputeStiffnessMatrix ()
	Compute the stiffness matrix of the element using gauss-integration. More...

Eigen::MatrixXd	ComputeDampingMatrix ()
	Compute the damping matrix of the element using gauss-integration. More...

Eigen::MatrixXd	ComputePMLMatrix ()
	Compute the PML history matrix using gauss-integration. More...

Eigen::VectorXd	ComputeInternalForces ()
	Compute the internal (elastic) forces acting on the element. More...

Eigen::VectorXd	ComputeInternalDynamicForces ()
	Compute the elastic, inertial, and viscous forces acting on the element. More...

Eigen::VectorXd	ComputeSurfaceForces (const std::shared_ptr< Load > &surface, unsigned int face)
	Compute the surface forces acting on the element. More...

Eigen::VectorXd	ComputeBodyForces (const std::shared_ptr< Load > &body, unsigned int k=0)
	Compute the body forces acting on the element. More...

Eigen::VectorXd	ComputeDomainReductionForces (const std::shared_ptr< Load > &drm, unsigned int k)
	Compute the domain reduction forces acting on the element. More...

Public Member Functions inherited from Element
	Element (std::string name, const std::vector< unsigned int > nodes, unsigned int ndofs, unsigned int VTKcell, unsigned int SVLcell)
	Creates an Element in a finite element Mesh. More...

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

std::string	GetName () const
	Gets the Element Name. More...

unsigned int	GetVTKCellType () const
	Gets the Element VTK cell type. More...

unsigned int	GetVTKGroupType () const
	Gets the Element VTK group type. More...

unsigned int	GetNumberOfNodes () const
	Returns the number of nodes in element. More...

unsigned int	GetNumberOfDegreeOfFreedom () const
	Returns total number of degree of freedom in the element. More...

const std::vector< unsigned int > &	GetNodes () const
	Returns the Node Connectivity Indexes. More...

bool	HasFixedNode (const std::vector< std::shared_ptr< Node > > &nodes) const
	Returns if the element has fixed nodes. More...

Private Member Functions
Eigen::VectorXd	ComputeRelativeDeformation () const
	Update strain in the element: More...

Eigen::MatrixXd	ComputeLocalAxes () const
	Compute local axes. More...

Eigen::MatrixXd	ComputeRotationMatrix () const
	Compute rotation matrix. More...

Private Attributes
double	n
	Yamamoto's model parameter. More...

double	alpha
	Yamamoto's model parameter. More...

double	Ar
	Rubber bearing area. More...

double	Hr
	Rubber bearing height. More...

double	Krb
	Rubber Bearing linear stiffness. More...

double	cr
	coefficient of shear stress More...

double	cs
	coefficient of shear stress More...

unsigned int	Dimension
	HDRB link dimension in 3D. More...

unsigned int	nMax
	Newton-Raphson maximum number of iterations. More...

Eigen::VectorXd	Pn
	Displacement Trajectory Vector. More...

Eigen::VectorXd	Qn
	Non-linear Displacement Trajectory Vector. More...

Eigen::VectorXd	Fn
	Non-linear Restoring Force Vector. More...

Eigen::VectorXd	Fc
	Non-linear Commited Restoring Force Vector. More...

Eigen::VectorXd	Paux
	Trial Displacement Trajectory Vector. More...

Eigen::VectorXd	Qaux
	Non-linear Displacement Trajectory Vector. More...

std::vector< std::shared_ptr< Node > >	theNodes
	The Element's Nodes. More...

Detailed Description

Class for creating a bidirectional 2D two-node link element using Yamamoto HDRB formulation.

See also: Element.hpp Mesh.hpp

Constructor & Destructor Documentation

◆ HDRBYamamoto2DLink()

HDRBYamamoto2DLink::HDRBYamamoto2DLink	(	const std::vector< unsigned int >	nodes,
		double	de,
		double	di,
		double	hr,
		unsigned int	dim
	)

Creates a HDRBYamamoto2DLink in a finite element Mesh.

Parameters

nodes	The Node connectivity array of this Element.
parameters	Vector that contains the Bouc-Wen model parameters.
variables	Vector that contains auxiliary model parameters.
dim	The model dimension.
dir	The local direction where this Element is acting.

Note: More details can be found at HDRBYamamoto2DLink.

See also: HDRBYamamoto2DLink::theNodes, HDRBYamamoto2DLink::theDirection, HDRBYamamoto2DLink::theDimension.

◆ ~HDRBYamamoto2DLink()

HDRBYamamoto2DLink::~HDRBYamamoto2DLink ( )

Destroys this HDRBYamamoto2DLink object.

Member Function Documentation

◆ CommitState()

void HDRBYamamoto2DLink::CommitState ( )

virtual

Save the material states in the element.

Note: This function sets the trial states as converged ones in Material.

Implements Element.

◆ ComputeBodyForces()

Eigen::VectorXd HDRBYamamoto2DLink::ComputeBodyForces	(	const std::shared_ptr< Load > &	body,
		unsigned int	k = `0`
	)

virtual

Compute the body forces acting on the element.

Parameters

body	Pointer to the Load object that contains this information.
k	The time step at which the body load is evaluated.

Returns: Vector with the Element surface force.

Note: The body force vector can be revisited in HDRBYamamoto2DLink.

See also: Assembler::ComputeExternalForceVector(), Integrator::ComputeEffectiveForce().

Implements Element.

◆ ComputeDampingMatrix()

Eigen::MatrixXd HDRBYamamoto2DLink::ComputeDampingMatrix ( )

virtual

Compute the damping matrix of the element using gauss-integration.

Returns: Matrix with the Element damping matrix.

Note: The damping matrix can be revisited in HDRBYamamoto2DLink.

See also: Assembler::ComputeDampingMatrix(), Integrator::ComputeEffectiveStiffness().

Implements Element.

◆ ComputeDomainReductionForces()

Eigen::VectorXd HDRBYamamoto2DLink::ComputeDomainReductionForces	(	const std::shared_ptr< Load > &	drm,
		unsigned int	k
	)

virtual

Compute the domain reduction forces acting on the element.

Parameters

drm	Pointer to the DRM Load object that contains this information.
k	The time step at which the body load is evaluated.

Returns: Vector with the Element domain reduction forces.

Note: The DRM force vector can be revisited in HDRBYamamoto2DLink.

See also: Assembler::ComputeExternalForceVector(), Integrator::ComputeEffectiveForce().

Implements Element.

◆ ComputeEnergy()

double HDRBYamamoto2DLink::ComputeEnergy ( )

virtual

Computes the element energy for a given deformation.

Returns: Scalar with the element deformation energy.

Implements Element.

◆ ComputeInternalDynamicForces()

Eigen::VectorXd HDRBYamamoto2DLink::ComputeInternalDynamicForces ( )

virtual

Compute the elastic, inertial, and viscous forces acting on the element.

Returns: Vector with the Element dynamic internal force.

Note: The internal force vector can be revisited in Element.

See also: Assembler::ComputeDynamicInternalForceVector().

Implements Element.

◆ ComputeInternalForces()

Eigen::VectorXd HDRBYamamoto2DLink::ComputeInternalForces ( )

virtual

Compute the internal (elastic) forces acting on the element.

Returns: Vector with the Element internal force.

Note: The internal force vector can be revisited in HDRBYamamoto2DLink.

See also: Assembler::ComputeInternalForceVector(), Integrator::ComputeEffectiveForce().

Implements Element.

◆ ComputeLocalAxes()

Eigen::MatrixXd HDRBYamamoto2DLink::ComputeLocalAxes ( ) const

private

Compute local axes.

Returns: Matrix with the local axis transformation.

Note: Axes transformation are according to HDRBYamamoto2DLink.

◆ ComputeMassMatrix()

Eigen::MatrixXd HDRBYamamoto2DLink::ComputeMassMatrix ( )

virtual

Compute the lumped/consistent mass matrix of the element.

Returns: Matrix with the Element mass matrix.

Note: The mass matrix can be revisited in HDRBYamamoto2DLink.

See also: Assembler::ComputeMassMatrix(), Integrator::ComputeEffectiveStiffness().

Implements Element.

◆ ComputePMLMatrix()

Eigen::MatrixXd HDRBYamamoto2DLink::ComputePMLMatrix ( )

virtual

Compute the PML history matrix using gauss-integration.

Returns: Matrix with the PML Element matrix.

Note: The PML matrix is none existent for this element.

See also: Assembler::ComputePMLHistoryMatrix(), Integrator::ComputeEffectiveStiffness().

Implements Element.

◆ ComputeRelativeDeformation()

Eigen::VectorXd HDRBYamamoto2DLink::ComputeRelativeDeformation ( ) const

private

Update strain in the element:

Returns: Vector with the total relative deformation.

◆ ComputeRotationMatrix()

Eigen::MatrixXd HDRBYamamoto2DLink::ComputeRotationMatrix ( ) const

private

Compute rotation matrix.

Returns: Matrix with the rotation.

Note: Axes transformation are according to HDRBYamamoto2DLink.

◆ ComputeStiffnessMatrix()

Eigen::MatrixXd HDRBYamamoto2DLink::ComputeStiffnessMatrix ( )

virtual

Compute the stiffness matrix of the element using gauss-integration.

Returns: Matrix with the Element stiffness matrix.

Note: The stiffness matrix can be revisited in HDRBYamamoto2DLink.

See also: Assembler::ComputeStiffnessMatrix(), Integrator::ComputeEffectiveStiffness().

Implements Element.

◆ ComputeSurfaceForces()

Eigen::VectorXd HDRBYamamoto2DLink::ComputeSurfaceForces	(	const std::shared_ptr< Load > &	surface,
		unsigned int	face
	)

virtual

Compute the surface forces acting on the element.

Parameters

surface	Pointer to the Load object that contains this information.
k	The time step at which the surface load is evaluated.

Returns: Vector with the Element surface force.

Note: The surface force vector can be revisited in HDRBYamamoto2DLink.

See also: Assembler::ComputeExternalForceVector(), Integrator::ComputeEffectiveForce().

Implements Element.

◆ GetStrain()

Eigen::MatrixXd HDRBYamamoto2DLink::GetStrain ( ) const

virtual

Gets the material/section (generalised) strain.

Returns: Matrix with the strain at each integration point.

Note: The index (i,j) are the strain and Gauss-point respectively.

Implements Element.

◆ GetStrainAt()

Eigen::MatrixXd HDRBYamamoto2DLink::GetStrainAt	(	double	x3,
		double	x2
	)		const

virtual

Gets the material strain in section at coordinate (x3,x2).

Parameters

x3	Local coordinate along the x3-axis.
x2	Local coordinate along the x2-axis.

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

Note: The strains are interpolated at this coordinate.

Implements Element.

◆ GetStrainRate()

Eigen::MatrixXd HDRBYamamoto2DLink::GetStrainRate ( ) const

virtual

Gets the material/section (generalised) strain-rate.

Returns: Matrix with the strain-rate at each integration point.

Note: The index (i,j) are the strain-rate and Gauss-point respectively.

Implements Element.

◆ GetStress()

Eigen::MatrixXd HDRBYamamoto2DLink::GetStress ( ) const

virtual

Gets the material/section (generalised) stress.

Returns: Matrix with the stress at each integration point.

Note: The index (i,j) are the stress and Gauss-point respectively.

Implements Element.

◆ GetStressAt()

Eigen::MatrixXd HDRBYamamoto2DLink::GetStressAt	(	double	x3,
		double	x2
	)		const

virtual

Gets the material stress in section at coordinate (x3,x2).

Parameters

x3	Local coordinate along the x3-axis.
x2	Local coordinate along the x2-axis.

Returns: Matrix with the stresses at coordinate (x3,x2).

Note: The stresses are interpolated at this coordinate.

Implements Element.

◆ GetTotalDegreeOfFreedom()

std::vector<unsigned int> HDRBYamamoto2DLink::GetTotalDegreeOfFreedom ( ) const

virtual

Gets the list of total-degree of freedom of this Element.

Returns: Vector with the list of degree-of-freedom of this Element.

Implements Element.

◆ GetVTKResponse()

Eigen::VectorXd HDRBYamamoto2DLink::GetVTKResponse ( std::string response ) const

virtual

Gets the element internal response in VTK format for Paraview display.

Parameters

response The response to be display in Paraview.

Returns: Vector with the response at the Element center.

Note: The current responses are: "Strain", "Stress".

Implements Element.

◆ InitialState()

void HDRBYamamoto2DLink::InitialState ( )

virtual

Brings the material/section state to its initial state in this element.

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

Implements Element.

◆ ReverseState()

void HDRBYamamoto2DLink::ReverseState ( )

virtual

Reverse the material/section states to previous converged state in this element.

Note: This function returns the trial states to previous converged states at the Material level.

Implements Element.

◆ SetDamping()

void HDRBYamamoto2DLink::SetDamping ( const std::shared_ptr< Damping > & damping )

virtual

Sets the damping model.

Parameters

damping Pointer to the damping model.

Note: Several Element objects can share the same damping model.

Implements Element.

◆ SetDomain()

void HDRBYamamoto2DLink::SetDomain ( std::map< unsigned int, std::shared_ptr< Node > > & nodes )

virtual

Sets the finite element dependance among objects.

Parameters

nodes The Node list of the Mesh object.

Note: This function sets the relation between Node and Element objects.

See also: lin2DQuad4::theNodes.

Implements Element.

◆ UpdateState()

void HDRBYamamoto2DLink::UpdateState ( )

virtual

Update the material states in the element.

Note: This function update the trial states at the Material level.

Implements Element.

Member Data Documentation

◆ alpha

double HDRBYamamoto2DLink::alpha

private

Yamamoto's model parameter.

◆ Ar

double HDRBYamamoto2DLink::Ar

private

Rubber bearing area.

◆ cr

double HDRBYamamoto2DLink::cr

private

coefficient of shear stress

◆ cs

double HDRBYamamoto2DLink::cs

private

coefficient of shear stress

◆ Dimension

unsigned int HDRBYamamoto2DLink::Dimension

private

HDRB link dimension in 3D.

◆ Fc

Eigen::VectorXd HDRBYamamoto2DLink::Fc

private

Non-linear Commited Restoring Force Vector.

◆ Fn

Eigen::VectorXd HDRBYamamoto2DLink::Fn

private

Non-linear Restoring Force Vector.

◆ Hr

double HDRBYamamoto2DLink::Hr

private

Rubber bearing height.

◆ Krb

double HDRBYamamoto2DLink::Krb

private

Rubber Bearing linear stiffness.

◆ n

double HDRBYamamoto2DLink::n

private

Yamamoto's model parameter.

◆ nMax

unsigned int HDRBYamamoto2DLink::nMax

private

Newton-Raphson maximum number of iterations.

◆ Paux

Eigen::VectorXd HDRBYamamoto2DLink::Paux

private

Trial Displacement Trajectory Vector.

◆ Pn

Eigen::VectorXd HDRBYamamoto2DLink::Pn

private

Displacement Trajectory Vector.

◆ Qaux

Eigen::VectorXd HDRBYamamoto2DLink::Qaux

private

Non-linear Displacement Trajectory Vector.

◆ Qn

Eigen::VectorXd HDRBYamamoto2DLink::Qn

private

Non-linear Displacement Trajectory Vector.

◆ theNodes

std::vector<std::shared_ptr<Node> > HDRBYamamoto2DLink::theNodes

private

The Element's Nodes.

Public Member Functions

Private Member Functions

Private Attributes

Detailed Description

Constructor & Destructor Documentation

◆ HDRBYamamoto2DLink()

◆ ~HDRBYamamoto2DLink()

Member Function Documentation

◆ CommitState()

◆ ComputeBodyForces()

◆ ComputeDampingMatrix()

◆ ComputeDomainReductionForces()

◆ ComputeEnergy()

◆ ComputeInternalDynamicForces()

◆ ComputeInternalForces()

◆ ComputeLocalAxes()

◆ ComputeMassMatrix()

◆ ComputePMLMatrix()

◆ ComputeRelativeDeformation()

◆ ComputeRotationMatrix()

◆ ComputeStiffnessMatrix()

◆ ComputeSurfaceForces()

◆ GetStrain()

◆ GetStrainAt()

◆ GetStrainRate()

◆ GetStress()

◆ GetStressAt()

◆ GetTotalDegreeOfFreedom()

◆ GetVTKResponse()

◆ InitialState()

◆ ReverseState()

◆ SetDamping()

◆ SetDomain()

◆ UpdateState()

Member Data Documentation

◆ alpha

◆ Ar

◆ cr

◆ cs

◆ Dimension

◆ Fc

◆ Fn

◆ Hr

◆ Krb

◆ n

◆ nMax

◆ Paux

◆ Pn

◆ Qaux

◆ Qn

◆ theNodes