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Published online by Cambridge University Press: 15 February 2011
An attempt to employ the self-organization theory has been made in order to describe different types of dislocation patterning in fatigued metals. We demonstrate that the formation of certain patterns can be understood as a result of competition between the intrinsic length scales of the “reaction+diffusion” model, on the one hand, and grain size, L on the other hand. Our results indicate that a critical grain size, Lcr, exists such that below Lcr the formation of dislocation structures of any type in fatigued metals becomes impossible.