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Scale invariance in plastic flow of crystalline solids
Authors:Michael Zaiser
Institution:1. The University of Edinburgh, Institute for Materials and Processes , The King's Buildings, Sanderson Building, Edinburgh EH9 3JL , UK m.zaiser@ed.ac.uk
Abstract:From the traditional viewpoint of continuum plasticity, plastic deformation of crystalline solids is, at least in the absence of so-called plastic instabilities, envisaged as a smooth and quasi-laminar flow process. Recent theoretical and experimental investigations, however, demonstrate that crystal plasticity is characterized by large intrinsic spatio-temporal fluctuations with scale-invariant characteristics: In time, deformation proceeds through intermittent bursts with power-law size distributions; in space, deformation patterns and deformation-induced surface morphology are characterized by long-range correlations, self-similarity and/or self-affine roughness. We discuss this scale-invariant behaviour in terms of robust scaling associated with a non-equilibrium critical point (‘yielding transition’).

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