A model for dislocation sources in a shock or impact environment

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Abstract
An attempt is made to model the operation of a prototypical dislocation source in a crystalline solid undergoing high rate deformation by shock or impact loading. This effort examines the response of the source to a dynamically applied shear stress, to the influence of other dislocations, and to the influence of dislocation nucleation time and inertial effects. The evolution of a two-wave elastic-plastic structure of a shock wave is predicted. For very large amplitude shocks, this two-wave structure effectively gives way to a single plastic wave. The strain rate of the plastic wave is shown to vary as the second power of the applied shear stress. Some initial predictions are given concerning shear band thickness and the onset of fracture failure during shock or impact.