To build element equations for Planar Elastic Bar element with 2 DOF (Degrees of Freedom) per node. More...

#include <Bar2DL2.h>

Inheritance diagram for Bar2DL2:

Public Member Functions
	Bar2DL2 ()
	Default Constructor.

	Bar2DL2 (Mesh &ms)
	Constructor using a Mesh instance.

	Bar2DL2 (Mesh &ms, Vect< real_t > &u)
	Constructor using a Mesh instance and a solution vector instance.

	~Bar2DL2 ()
	Destructor.

void	setSection (real_t A)
	Define bar section.

void	LMass (real_t coef=1)
	Add lumped mass matrix to element matrix after multiplying it by coefficient `coef`

void	Mass (real_t coef=1)
	Add consistent mass matrix to element matrix after multiplying it by coefficient `coef`

void	Stiffness (real_t coef=1.)
	Add element stiffness to left hand side.

real_t	Stress () const
	Return stresses in bar.

void	getStresses (Vect< real_t > &s)
	Return stresses in the truss structure (elementwise)

void	build ()
	Build the linear system of equations.

Public Member Functions inherited from Equa_Solid< 2, 4, 1, 2 >
	Equa_Solid ()
	Default constructor.

virtual	~Equa_Solid ()
	Destructor.

virtual void	Deviator (real_t coef=1)
	Add deviator matrix to left-hand side taking into account time integration scheme, after multiplication by `coef` [Default: `1`].

virtual void	Dilatation (real_t coef=1)
	Add dilatation matrix to left-hand side taking into account time integration scheme, after multiplication by `coef` [Default: `1`].

void	setInput (EType opt, Vect< real_t > &u)
	Set specific input data to solid mechanics.

Public Member Functions inherited from Equation< NEN_, NEE_, NSN_, NSE_ >
	Equation ()

	Equation (Mesh &mesh)
	Constructor with mesh instance.

	Equation (Mesh &mesh, Vect< real_t > &u)
	Constructor with mesh instance and solution vector.

	Equation (Mesh &mesh, Vect< real_t > &u, real_t &init_time, real_t &final_time, real_t &time_step)
	Constructor with mesh instance, matrix and right-hand side.

	~Equation ()
	Destructor.

void	updateBC (const Element &el, const Vect< real_t > &bc)
	Update Right-Hand side by taking into account essential boundary conditions.

void	DiagBC (DOFSupport dof_type=NODE_DOF, int dof=0)
	Update element matrix to impose bc by diagonalization technique.

void	LocalNodeVector (Vect< real_t > &b)
	Localize element vector from a Vect instance.

void	ElementNodeVector (const Vect< real_t > &b, LocalVect< real_t, NEE_ > &be)
	Localize element vector from a Vect instance.

void	SideNodeVector (const Vect< real_t > &b, LocalVect< real_t, NSE_ > &bs)
	Localize side vector from a Vect instance.

void	SideSideVector (const Vect< real_t > &b, vector< real_t > &bs)
	Localize side vector from a Vect instance.

void	ElementNodeVectorSingleDOF (const Vect< real_t > &b, LocalVect< real_t, NEN_ > &be)
	Localize Element Vector from a Vect instance.

void	ElementNodeVector (const Vect< real_t > &b, LocalVect< real_t, NEN_ > &be, int dof)
	Localize Element Vector from a Vect instance.

void	ElementSideVector (const Vect< real_t > &b, LocalVect< real_t, NSE_ > &be)
	Localize Element Vector from a Vect instance.

void	ElementVector (const Vect< real_t > &b, DOFSupport dof_type=NODE_DOF, int flag=0)
	Localize element vector.

void	SideVector (const Vect< real_t > &b, vector< real_t > &sb)
	Localize side vector.

void	ElementNodeCoordinates ()
	Localize coordinates of element nodes.

void	SideNodeCoordinates ()
	Localize coordinates of side nodes.

void	ElementAssembly (Matrix< real_t > *A)
	Assemble element matrix into global one.

void	ElementAssembly (BMatrix< real_t > &A)
	Assemble element matrix into global one.

void	ElementAssembly (SkSMatrix< real_t > &A)
	Assemble element matrix into global one.

void	ElementAssembly (SkMatrix< real_t > &A)
	Assemble element matrix into global one.

void	ElementAssembly (SpMatrix< real_t > &A)
	Assemble element matrix into global one.

void	ElementAssembly (TrMatrix< real_t > &A)
	Assemble element matrix into global one.

void	DGElementAssembly (Matrix< real_t > *A)
	Assemble element matrix into global one for the Discontinuous Galerkin approximation.

void	DGElementAssembly (SkSMatrix< real_t > &A)
	Assemble element matrix into global one for the Discontinuous Galerkin approximation.

void	DGElementAssembly (SkMatrix< real_t > &A)
	Assemble element matrix into global one for the Discontinuous Galerkin approximation.

void	DGElementAssembly (SpMatrix< real_t > &A)
	Assemble element matrix into global one for the Discontinuous Galerkin approximation.

void	DGElementAssembly (TrMatrix< real_t > &A)
	Assemble element matrix into global one for the Discontinuous Galerkin approximation.

void	SideAssembly (Matrix< real_t > *A)
	Assemble side (edge or face) matrix into global one.

void	SideAssembly (SkSMatrix< real_t > &A)
	Assemble side (edge or face) matrix into global one.

void	SideAssembly (SkMatrix< real_t > &A)
	Assemble side (edge or face) matrix into global one.

void	SideAssembly (SpMatrix< real_t > &A)
	Assemble side (edge or face) matrix into global one.

void	ElementAssembly (Vect< real_t > &v)
	Assemble element vector into global one.

void	SideAssembly (Vect< real_t > &v)
	Assemble side (edge or face) vector into global one.

void	AxbAssembly (const Element &el, const Vect< real_t > &x, Vect< real_t > &b)
	Assemble product of element matrix by element vector into global vector.

void	AxbAssembly (const Side &sd, const Vect< real_t > &x, Vect< real_t > &b)
	Assemble product of side matrix by side vector into global vector.

size_t	getNbNodes () const
	Return number of element nodes.

size_t	getNbEq () const
	Return number of element equations.

real_t	setMaterialProperty (const string &exp, const string &prop)
	Define a material property by an algebraic expression.

Public Member Functions inherited from Equa
	Equa ()
	Default constructor.

virtual	~Equa ()
	Destructor.

void	setMesh (Mesh &m)
	Define mesh and renumber DOFs after removing imposed ones.

Mesh &	getMesh () const
	Return reference to Mesh instance.

LinearSolver &	getLinearSolver ()
	Return reference to linear solver instance.

Matrix< real_t > *	getMatrix () const
	Return pointer to matrix.

void	setSolver (Iteration ls, Preconditioner pc=IDENT_PREC)
	Choose solver for the linear system.

void	setMatrixType (int t)
	Choose type of matrix.

int	solveLinearSystem (Matrix< real_t > *A, Vect< real_t > &b, Vect< real_t > &x)
	Solve the linear system with given matrix and right-hand side.

int	solveLinearSystem (Vect< real_t > &b, Vect< real_t > &x)
	Solve the linear system with given right-hand side.

void	LinearSystemInfo ()
	Print info on linear system solver.

Additional Inherited Members
Protected Member Functions inherited from Equa_Solid< 2, 4, 1, 2 >
void	Young (const real_t &E)
	Set (constant) Young modulus.

void	Young (const string &exp)
	Set Young modulus given by an algebraic expression.

void	Poisson (const real_t &nu)
	Set (constant) Poisson ratio.

void	Poisson (const string &exp)
	Set Poisson ratio given by an algebraic expression.

void	Density (const real_t &rho)
	Set (constant) density.

void	Density (const string &exp)
	Set density given by an algebraic expression.

void	setMaterial ()
	Set material properties.

Detailed Description

To build element equations for Planar Elastic Bar element with 2 DOF (Degrees of Freedom) per node.

This class implements a planar (two-dimensional) elastic bar using 2-node lines. Note that members calculating element arrays have as an argument a real coef that is multiplied by the contribution of the current element. This makes possible testing different algorithms.

Constructor & Destructor Documentation

◆ Bar2DL2() [1/3]

Bar2DL2 ( )

Default Constructor.

Constructs an empty equation.

◆ Bar2DL2() [2/3]

Bar2DL2 ( Mesh & ms )

Constructor using a Mesh instance.

Parameters

[in] ms Reference Mesh instance

◆ Bar2DL2() [3/3]

Bar2DL2	(	Mesh &	ms,
		Vect< real_t > &	u
	)

Constructor using a Mesh instance and a solution vector instance.

Parameters

[in]	ms	Reference Mesh instance
[in,out]	u	Reference to solution vector

Member Function Documentation

◆ build()

void build ( )

Build the linear system of equations.

Before using this function, one must have properly selected appropriate options for:

The choice of a steady state or transient analysis
In the case of transient analysis, the choice of a time integration scheme and a lumped or consistent mass matrix
The choice of desired linear system solver

◆ getStresses()

void getStresses ( Vect< real_t > & s )

Return stresses in the truss structure (elementwise)

Parameters

[in] s Vect instance containing axial stresses in elements

◆ LMass()

void LMass ( real_t coef = 1 )

virtual

Add lumped mass matrix to element matrix after multiplying it by coefficient coef

Parameters

[in] coef Coefficient to multiply by added term [Default: 1].

Reimplemented from Equa_Solid< 2, 4, 1, 2 >.

◆ Mass()

void Mass ( real_t coef = 1 )

virtual

Add consistent mass matrix to element matrix after multiplying it by coefficient coef

Parameters

[in] coef Coefficient to multiply by added term [Default: 1].

Reimplemented from Equa_Solid< 2, 4, 1, 2 >.

◆ Stiffness()

void Stiffness ( real_t coef = 1. )

virtual

Add element stiffness to left hand side.

Parameters

[in] coef Coefficient to multuply by added term [Default: 1].

Reimplemented from Equa_Solid< 2, 4, 1, 2 >.

Public Member Functions

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ Bar2DL2() [1/3]

◆ Bar2DL2() [2/3]

◆ Bar2DL2() [3/3]

Member Function Documentation

◆ build()

◆ getStresses()

◆ LMass()

◆ Mass()

◆ Stiffness()