Abstract
Instabilities of plastic deformation are a typical feature of the low-temperature plastic behaviour of many metals and alloys. These instabilities are related to a positive feedback between heat release during plastic deformation and acceleration of deformation at enhanced temperature. This paper presents a theoretical investigation of the interplay between this thermomechanical back-coupling and the intrinsic strain-rate fluctuations that arise from dislocation interactions and collective dislocation motion on a mesoscopic scale. It is shown that such fluctuations may have a significant influence on the stability of low-temperature plastic deformation. The corresponding modifications of the stability boundaries are calculated. It is demonstrated that by considering fluctuations the observed differences in the stability behaviour of single- and polycrystals can be explained and discrepancies removed that arise at low strain rates between experimental observations and theoretical calculations of stability boundaries that are based on a linear stability analysis.
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