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An Object Oriented Finite Element Library

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. More...
 
 Bar2DL2 (Mesh &ms)
 Constructor using a Mesh instance. More...
 
 Bar2DL2 (Mesh &ms, Vect< real_t > &u)
 Constructor using a Mesh instance and a solution vector instance. More...
 
 ~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 More...
 
void Mass (real_t coef=1)
 Add consistent mass matrix to element matrix after multiplying it by coefficient coef More...
 
void Stiffness (real_t coef=1.)
 Add element stiffness to left hand side. More...
 
real_t Stress () const
 Return stresses in bar.
 
void getStresses (Vect< real_t > &s)
 Return stresses in the truss structure (elementwise) More...
 
void build ()
 Build the linear system of equations. More...
 
- Public Member Functions inherited from Equa_Solid< 2, 4, 1, 2 >
 Equa_Solid ()
 Default constructor. More...
 
virtual ~Equa_Solid ()
 Destructor.
 
virtual void LMass (real_t coef=1)
 Add lumped mass contribution to left-hand side. More...
 
virtual void Mass (real_t coef=1)
 Add consistent mass contribution to left-hand side. More...
 
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].
 
virtual void Stiffness (real_t coef=1)
 Add stiffness matrix to left-hand side taking into account time integration scheme, after multiplication by coef [Default: 1].
 
void setInput (EqDataType 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. More...
 
 Equation (Mesh &mesh, Vect< real_t > &u)
 Constructor with mesh instance and solution vector. More...
 
 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. More...
 
 ~Equation ()
 Destructor.
 
void updateBC (const Element &el, const Vect< real_t > &bc)
 Update Right-Hand side by taking into account essential boundary conditions. More...
 
void DiagBC (DOFSupport dof_type=NODE_DOF, int dof=0)
 Update element matrix to impose bc by diagonalization technique. More...
 
void LocalNodeVector (Vect< real_t > &b)
 Localize Element Vector from a Vect instance. More...
 
void ElementNodeVector (const Vect< real_t > &b, LocalVect< real_t, NEE_ > &be)
 Localize Element Vector from a Vect instance. More...
 
void SideNodeVector (const Vect< real_t > &b, LocalVect< real_t, NSE_ > &bs)
 Localize Side Vector from a Vect instance. More...
 
void SideSideVector (const Vect< real_t > &b, std::valarray< real_t > &bs)
 Localize Side Vector from a Vect instance. More...
 
void ElementNodeVectorSingleDOF (const Vect< real_t > &b, LocalVect< real_t, NEN_ > &be)
 Localize Element Vector from a Vect instance. More...
 
void ElementNodeVector (const Vect< real_t > &b, LocalVect< real_t, NEN_ > &be, int dof)
 Localize Element Vector from a Vect instance. More...
 
void ElementSideVector (const Vect< real_t > &b, LocalVect< real_t, NSE_ > &be)
 Localize Element Vector from a Vect instance. More...
 
void ElementVector (const Vect< real_t > &b, DOFSupport dof_type=NODE_DOF, int flag=0)
 Localize Element Vector. More...
 
void SideVector (const Vect< real_t > &b, std::valarray< real_t > &sb)
 Localize Side Vector. More...
 
void ElementNodeCoordinates ()
 Localize coordinates of element nodes. More...
 
void SideNodeCoordinates ()
 Localize coordinates of side nodes. More...
 
void ElementAssembly (Matrix< real_t > *A)
 Assemble element matrix into global one. More...
 
void ElementAssembly (BMatrix< real_t > &A)
 Assemble element matrix into global one. More...
 
void ElementAssembly (SkSMatrix< real_t > &A)
 Assemble element matrix into global one. More...
 
void ElementAssembly (SkMatrix< real_t > &A)
 Assemble element matrix into global one. More...
 
void ElementAssembly (SpMatrix< real_t > &A)
 Assemble element matrix into global one. More...
 
void ElementAssembly (TrMatrix< real_t > &A)
 Assemble element matrix into global one. More...
 
void DGElementAssembly (Matrix< real_t > *A)
 Assemble element matrix into global one for the Discontinuous Galerkin approximation. More...
 
void DGElementAssembly (SkSMatrix< real_t > &A)
 Assemble element matrix into global one for the Discontinuous Galerkin approximation. More...
 
void DGElementAssembly (SkMatrix< real_t > &A)
 Assemble element matrix into global one for the Discontinuous Galerkin approximation. More...
 
void DGElementAssembly (SpMatrix< real_t > &A)
 Assemble element matrix into global one for the Discontinuous Galerkin approximation. More...
 
void DGElementAssembly (TrMatrix< real_t > &A)
 Assemble element matrix into global one for the Discontinuous Galerkin approximation. More...
 
void SideAssembly (Matrix< real_t > *A)
 Assemble side (edge or face) matrix into global one. More...
 
void SideAssembly (SkSMatrix< real_t > &A)
 Assemble side (edge or face) matrix into global one. More...
 
void SideAssembly (SkMatrix< real_t > &A)
 Assemble side (edge or face) matrix into global one. More...
 
void SideAssembly (SpMatrix< real_t > &A)
 Assemble side (edge or face) matrix into global one. More...
 
void ElementAssembly (Vect< real_t > &v)
 Assemble element vector into global one. More...
 
void SideAssembly (Vect< real_t > &v)
 Assemble side (edge or face) vector into global one. More...
 
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. More...
 
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. More...
 
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. More...
 
- 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.
 
MeshgetMesh () const
 Return reference to Mesh instance. More...
 
LinearSolver< real_t > & 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. More...
 
void setLinearSolver (Iteration ls, Preconditioner pc=IDENT_PREC)
 Choose solver for the linear system. More...
 
void setMatrixType (int t)
 Choose type of matrix. More...
 
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. More...
 
int solveLinearSystem (Vect< real_t > &b, Vect< real_t > &x)
 Solve the linear system with given right-hand side. More...
 

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]msReference Mesh instance

◆ Bar2DL2() [3/3]

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

Constructor using a Mesh instance and a solution vector instance.

Parameters
[in]msReference Mesh instance
[in,out]uReference 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]sVect 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]coefCoefficient 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]coefCoefficient 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]coefCoefficient to multuply by added term [Default: 1].

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






Copyright © 1998-2022 Rachid Touzani