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A single theory for some quasi-static, supersonic, atomic, and tectonic scale applications of dislocations

Submitted by Xiaohan Zhang on

Xiaohan Zhang             Amit Acharya                Noel J. Walkington              Jacobo Bielak

In Journal of the Mechanics and Physics of Solids, 84 (2015), 145 - 195

We describe a model based in continuum mechanics that reduces the study of a significant class of problems of discrete dislocation dynamics to questions of the modern theory of continuum plasticity. As applications, we explore the questions of the existence of a Peierls stress in a continuum theory, dislocation annihilation, dislocation dissociation, finite-speed-of-propagation effects of elastic waves vis-a-vis dynamic dislocation fields, supersonic dislocation motion, and short-slip duration in rupture dynamics.

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