Abstract
A very crude approximation to the dependence of the velocity of mobile dislocations on applied stress is to assume that for stresses below a certain level the velocity is zero and for stresses at this level the velocity can take any required value. This first order approximation leads to a predicted material response which is that of the perfectly plastic model. In the present paper a second order approximation is examined. In particular the implications of the inclusion of an upper limit to the dislocation velocity are explored with reference to the phenomenon of the upper yield point and subsequent yield drop. An analytical expression for the upper yield stress is developed which is an upper bound to the actual upper yield stress in a material.
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