Numerical implementation of orthotropic plasticity for sheet-metal forming analysis

Simulation of 3D interlock composite preforming

“…codes to model isotropic mechanical behaviour of continuous material at large strain [32,33,37,38]. They can conveniently be extended to plasticity [33,39,40] (This point will be briefly discussed in Section 3.2.2).…”

“…Efficient prediction-correction algorithms such as the so-called ''radial return" method have been developed to compute Cauchy stress from strain increment [33,39,42]. Identification of yield function in the case of interlock fabrics will be presented in a future work.…”

Large deformation analysis of fibrous materials using rate constitutive equations

“…Notice that constitutive laws mentioned in the present paper are elastic. Nevertheless, one of the main interests of rate constitutive equations lies in the possible and convenient extension to non-linear behaviours such as plasticity (or visco-elasticity or also visco-plasticity) using a formulation close to the small strain one when elastic strains are small compared to plastic strains [16,18,19,23].…”

“…Among continuous models of mechanical behaviour at large strain, rate constitutive equations (or hypoelastic laws) are widely used [14][15][16][17][18]. Those constitutive laws relate stress and strain rates and allow taking into account material non-linearities such as plasticity [16,19]. Those approaches use a rotated frame in which the objective summation of stress increments is performed.…”

Sheet metal forming analyses with an emphasis on the springback deformation

“…The experimentally determined geometry and the respective variations have been investigated quantitatively. An investigation of the FE springback predictions for these representative conditions indicate that the discrepancies can not be explained on the basis of variability of the input parameters or numerical factors alone and the plasticity models employed in the FE analyses influence significantly the predicted deformations including springback (Boubakar et al, 1997;Geng and Wagoner, 2002;Uemori et al, 1998).…”