Hostname: page-component-586b7cd67f-2plfb Total loading time: 0 Render date: 2024-11-28T17:13:58.126Z Has data issue: false hasContentIssue false

The influence of material non-uniformity preceding shear-band formation in a model for granular flow

Published online by Cambridge University Press:  01 October 1997

DAVID G. SCHAEFFER
Affiliation:
Department of Mathematics, Duke University, Durham, NC 27708-0320, USA
MICHAEL SHEARER
Affiliation:
Department of Mathematics, North Carolina State University, Raleigh, NC 27695-8205, USA

Abstract

The onset of shear-banding in a deforming elastoplastic solid has been linked to change of type of the governing partial differential equations. If uniform material properties are assumed, then (i) deformations prior to shear-banding are uniform, and (ii) the onset of shear-banding occurs simultaneously at all points in the sample. In this paper we study, in the context of a model for anti-plane shearing of a granular material, the effect of a small variation in material properties (e.g. in yield strength) within the sample. Using matched asymptotic expansions, we find that (i) the deformation is extremely non-uniform in a short time period immediately preceding the formation of shear-bands; and (ii) generically, a shear-band forms at a single location in the sample.

Type
Research Article
Copyright
© 1997 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)