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Statistical dynamics of dislocation systems: The influence of dislocation-dislocation correlations.
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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.
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ZAISER, Michael, MIGUEL LÓPEZ, María del carmen, GROMA, I.. Statistical dynamics of dislocation systems: The influence of dislocation-dislocation correlations.. _Physical Review B_. 2001. Vol. 64, núm. , pàgs. 22. [consulta: 25 de febrer de 2026]. ISSN: 0163-1829. [Disponible a: https://hdl.handle.net/2445/10871]