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Article

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Published version

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2001

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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/10871

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

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http://dx.doi.org/10.1103/PhysRevB.64.224102

Abstract

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.

Subject

Dislocacions en cristalls, Física estadística, Matèria condensada, Termodinàmica, Plasticitat

Subject (English)

Dislocations in crystals, Statistical physics, Condensed matter, Thermodynamics, Dislocations in crystals, Condensed matter, Plasticity

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Articles publicats en revistes (Física de la Matèria Condensada)

Citation

ZAISER, Michael, MIGUEL LÓPEZ, María del Carmen and GROMA, I. Statistical dynamics of dislocation systems: The influence of dislocation-dislocation correlations. Physical Review B. 2001. Vol. 64, num. , pags. 22. ISSN 0163-1829. [consulted: 16 of August of 2026]. Available at: https://hdl.handle.net/2445/10871

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