Abstract

Whether or not in a slip-line field a stress discontinuity can be simultaneously a velocity discontinuity has been discussed since the late 1940s. According to the usual “jump” conditions it is not impossible to have a tangential velocity component across a stress discontinuity. However, Hill[1] demonstrated the impossibility of there being a simultaneous stress and velocity discontinuity in an elastic-plastic material. This note briefly reviews the historical arguments surrounding this subject and then, based on a discussion of the state within the transition region, shows that the possibility of a simultaneous stress and velocity discontinuity depends on suppositions concerning material behavior within it.

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