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Characterizing short-range vs. long-range spatial correlations in dislocation distributions

Abstract : Hard X-ray diffraction experiments have provided evidence of a strongly heterogeneous distribution of dislocation densities along the axis of cylindrical ice single crystals oriented for basal slip in torsion creep. The dislocation arrangements showed a complex scale-invariant character, which was analyzed by means of statistical and multifractal techniques. A trend to decreasing autocorrelation of the dislocation distribution was observed as deformation proceeds. At low strain levels, long-range spatial correlations control the distribution, but short-range correlations in relation with cross-slip progressively prevail when strain increases. This trend was reproduced by a model based on field dislocation dynamics, a theory accounting for both long-range elastic interactions and short-range interactions through transport of dislocation densities.
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Submitted on : Friday, December 16, 2011 - 3:59:06 PM
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J. Chevy, C. Fressengeas, M. Lebyodkin, V. Taupin, P. Bastie, et al.. Characterizing short-range vs. long-range spatial correlations in dislocation distributions. Acta Materialia, Elsevier, 2010, 58 (5), pp.1837-1849. ⟨10.1016/j.actamat.2009.11.027⟩. ⟨insu-00652947⟩



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