Statistical dynamics of dislocation systems: The influence of dislocation-dislocation correlations

By Michael Zaiser, M. Carmen-Miguel, I. Groma. 2001

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During plastic deformation of crystalline materials, the collective dynamics of interacting dislocations gives rise to various patterning phenomena. A crucial and still open question is whether the long range dislocation-dislocation interactions which do not have an intrinsic range can lead to spatial patterns which may exhibit well-defined characteristic scales. It is demonstrated for a general model of two-dimensional dislocation systems that spontaneously emerging dislocation pair correlations introduce a length scale which is proportional to the mean dislocation spacing. General properties of the pair correlation functions are derived, and explicit calculations are performed for a simple special case, viz pair correlations in single-glide dislocation dynamics. It is shown that in this case the dislocation system exhibits a patterning instability leading to the formation of walls normal to the glide plane. The results are discussed in terms of their general implications for dislocation patterning.

Subfields: Aerospace Engineering, Atmospheric Science, Materials Chemistry

View Paper: https://www.semanticscholar.org/paper/09725db1f57f80e892567df0c2c3bd2fe11bad71