A constitutive equation of cyclic strain softening for materials with low internal stress levels was derived from the rate equation. The study showed that cyclic strain softening is associated with stress relaxation and that the two phenomena are parallel over a high stress and low temperature range where thermally activated plastic flow in the two processes can be approximated with activation over a single energy barrier. The constitutive parameters were identical in both processes, leading to the recommendation that stress relaxation can be employed to determine the experimental variables for the understanding of the cyclic softening process.
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NRC Publications Archive Archives des publications du CNRCThis publication could be one of several versions: author's original, accepted manuscript or the publisher's version. / La version de cette publication peut être l'une des suivantes : la version prépublication de l'auteur, la version acceptée du manuscrit ou la version de l'éditeur.Acta Metallurgica, 16, 7, pp. 897-902, 1968-04-01 A rate theory of dislocation mobility Krausz, A. S. where T is thc stress and I?., c arc esperimclltnl constants. It is shonn that the clislocation vclocity can bc described in terms of physical concepts by using the rate theory model of the asymmetrical encrgy barricr and assuming that the activation encrgy of tho rate controlling process is linearly dcpcnclcnt on the stress.
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An argument is presented in which it is shown that the deformation process in a crystal is identical with the isomerization of a giant molecule and that the study of plastic flow is part of chemical kinetics. This view leads to a general expression for the rate constant which describes the kinetics of the thermally activated dislocation movement associated with a system of consecutive and parallel energy barriers. The application of the kinetic equation is illustrated with several specific examples.
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