Contrib:KeesWouters/plasticity/solidbeam

Solid beam under plastic deformation

This contribution is based on . This contribution has been created because of some incompatibilities between version CA10.X.Y and earlier versions. For detailed description of the calculation sequence look here.

Geometry and mesh of the solid beam

Using a straight solid beam is easy for analysis of the stresses and strains.

*

Fbot and Ftop are the bottom and top surfaces.
Lx and Ly are the edges along the x and y axes.

Non linear material behaviour

The non linear material behaviour is defined by the sigma epsilon curve. The CA commands for this relation are given by DEFI_FONCTION and DEFI_MATERIAU. The curve that has been used in this calculation is depicted below.

Sigma_eps = DEFI_FONCTION(NOM_PARA='EPSI',
                          VALE=(0.0016,	330,
                                0.0032,	350,
                                0.0064,	367,
                                0.0128,	387,
                                0.0200,	401,
                                0.0270,	410,
                                0.0400,	420,
                                0.0700,	437,
                                0.1000,	450,
                                0.1500,	473,
                                0.2000,	490,
                                0.3000,	510,),
                     INTERPOL='LIN',PROL_DROITE='LINEAIRE',PROL_GAUCHE='EXCLU',);

#define plastic behaviour of steel by Sigma_eps
steel=DEFI_MATERIAU(ELAS=_F(E=2.1e5,NU=0.27,),
                    TRACTION=_F(SIGM=Sigma_eps,),);

Note that the origin need not to be specified for the sigma epsilon in the DEFI_FONCTION.