Abstract
There is perhaps no better example of propagative plastic instability than the Portevin-Le Chatelier (PLC) effect. The effect consists in the repeated generation and propagation of sharply edged deformation bands along a tensile specimen; the bands show up as load drops at constant applied strain-rate, or as strain bursts at constant applied stress-rate. This paper is a discussion of the various ways of incorporating gradients that have been proposed, basically the internal stress and the cross-slip models, on the basis of their macroscopic consequences. Pivotal to that analysis is the well ascertained experimental observation that, at constant stress-rate loading, the PLC band velocity shows a monotonic decrease with increasing applied stress-rates: nonlocal models will be mainly discriminated according to their ability to reproduce that trend.
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