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On Dislocation Patterning: Revisiting the W-A Model Part I: The Role of Gradient Terms in Dislocation Dynamics by D. Walgraef,; E.G. Aifantis, is a Engineering article available to read on EtoBox.

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The Walgraef-Aifantis reaction-diffusion framework (W-A model) for dislocation patterning, proposed a quarter of a century ago, is revisited in view of new advances made in the field, including stochastic aspects. In the course of plastic deformation induced by dislocation glide, dislocation distributions, which are rather uniform at the beginning, quickly become unstable as deformation proceeds and undergo successive transitions towards various types of spatial patterns such as walls, cells, slip bands, labyrinth structures, etc. In the initial W-A model it was shown how the coupled nonlinear evolution of forest and gliding dislocation densities can generate spatially periodic dislocation patterns during cyclic deformation, commonly known as ladder structures of persistent slip bands. This model is updated here (Part I), to take care properly of the gradient terms of the mobile dislocation dynamics. It is shown that these terms generate space-dependent, nonlinear, self-and cross-diffusion terms, but also space-dependent advection terms which affect pattern formation and stability. Furthermore, it is argued that persistent slip bands nucleate preferentially through front propagatio

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Author

D. Walgraef,; E.G. Aifantis,

Publisher

Walter de Gruyter GmbH

Published

2009

Language

EN

Field

Engineering (Physical Sciences)