2D/3D viscoplastic modelling of shear banding

A gradient viscoplasticity model has been used to analyse two- and three-di mensional shear banding. The numerical simulation of a finite width and uni que oriention of the shear band is essential. It is demonstrated that the u se of viscous regularisation is effective for quasi-static and dynamic prob lems. The role of the two length scale parameters that are introduced in th e model has been investigated. The shear band width is influenced by the tw o interacting length scales of which the largest dominates the band width. A 3D analysis of shear banding is shown to give significantly different res ults than the 2D plane strain analysis under similar conditions.