Author:
SCHAEFFER DAVID G.,SHEARER MICHAEL
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.
Publisher
Cambridge University Press (CUP)
Cited by
6 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献