Abstract
Two important types of plastic instabilities occurring in crystalline materials are discussed within a phenomenologic frame. They involve anomalies in the behavior of the strain hardening rate (h) or of the strain rate sensitivity (S) of the flow stress. These two quantities are calculated in terms of the evolution of the densities of mobile and forest dislocations during plastic flow. This approach is exemplified by a study of the critical conditions for slip line patterning and for necking (type h) and by an investigation of the critical strains for the occurrence of jerky flow (type S). Experimental features associated with dislocation patterning are reviewed and analytical approaches through reaction-transport or reaction-diffusion are discussed. Because of the nonlocal character of internal stresses, these models are, for the moment, confined to the study of fatigue patterning. For this reason numerical simulations have been developed. The preliminary results presented here were obtained with a 3 D simulation of collective dislocation dynamics, based on a discretization of time and space.
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Kubin, L.P., Estrin, Y., Canova, G. (1990). Dislocation Patterns and Plastic Instabilities. In: Walgraef, D., Ghoniem, N.M. (eds) Patterns, Defects and Materials Instabilities. NATO ASI Series, vol 183. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-0593-1_20
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DOI: https://doi.org/10.1007/978-94-009-0593-1_20
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