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Statistical dynamics of dislocation systems: The influence of dislocation-dislocation correlations.
Zaiser, Michael; Miguel López, María del Carmen; Groma, I.
Universitat de Barcelona
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.
Dislocacions en cristalls
Física estadística
Matèria condensada
Dislocations in crystals
Statistical physics
Condensed matter
Dislocations in crystals
Condensed matter
(c) The American Physical Society, 2001
The American Physical Society

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