%0 Journal Article
%A
%T A mathematical model for localization in granular flow
%D 1992
%R 10.1098/rspa.1992.0016
%J Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences
%P 217-250
%V 436
%N 1897
%X The phrase ‘localization of flow’ refers to a phenomenon in plasticity in which deformation becomes concentrated in thin bands of intense shearing. This paper proposes a two-dimensional continuum model which isolates some mathematical issues relevant to such shear banding. The challenge is to follow the solution after ill- posedness appears in the equations. A particular solution in this régime is constructed in the quasi-static approximation. The paper also lists several open problems suggested by the model. Besides addressing research questions, the paper is partly intended as an expository paper for mathematicians interested in shear bands.
%U http://rspa.royalsocietypublishing.org/content/royprsa/436/1897/217.full.pdf