Large scale shear banding in extension

Abstract

In this paper, we will explore the role of non-coaxiality on shear banding in pure shear. We first outline the consitituve relations. The deformation and localization process is illustrated by results of large deformation finite element simulations on a rectangular domain in extension for different constitutive models. We also show the variation of the average horizontal stress (stress resultant) conjugate to the prescribed boundary velocity with a strain measure for the horizontal extension. We assume incompressible deformations since the emphasis in this study is on large deformations. The equations of motion are integrated using an updated Lagrangian scheme.