The 'yielding transition' in crystal plasticity - discrete dislocations and continuum models

Physics – Condensed Matter – Statistical Mechanics

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Scientific paper

On mesoscopic and microscopic scales, plastic deformation of crystalline solids is character- ized by large intrinsic spatio-temporal fluctuations with scale-invariant characteristics: In time, deformation proceeds through intermittent bursts with power-law size distributions; in space, de- formation patterns and deformation-induced surface morphology are characterized by long-range correlations, self-similarity and/or self-affine roughness. We discuss this scale-invariant behavior in terms of robust scaling associated with a non-equilibrium critical point ('yielding transition'). The properties of this transition are studied using two conceptually different models which, how- ever, are shown to yield qualitatively and quantitatively similar results.

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