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Modeling Collective Dislocation Dynamics in Ice Single Crystals

Published online by Cambridge University Press:  15 February 2011

M.-Carmen Miguel
Affiliation:
The Abdus Salam International Centre for Theoretical Physics P.O. Box 586, 34100 Trieste, Italy
A. Vespignani
Affiliation:
The Abdus Salam International Centre for Theoretical Physics P.O. Box 586, 34100 Trieste, Italy
S. Zapperi
Affiliation:
PMMH-ESPCI,10, rue Vauquelin, 75231 Paris Cedex 05, France
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Abstract

We propose a model to study the plasticity of ice single crystals by numerical simulations. The model includes the long-range character of the interaction among dislocations, as well as the possibility of mutual annihilation of these line defects characterized by its Burgers vector. A multiplication mechanism representing the activation of Frank-Read sources due to dislocation pinning is also introduced in the model.

With our approach we are able to probe the dislocation patterns, which result from the dislocation dynamics. Furthermore, our results exhibit features characteristic of driven dynamic critical phenomena such as scaling behavior, and avalanche dynamics. Some of these results account for the experimental findings reported for ice single crystals under creep deformation, like the power-law distributions of the acoustic emission intensity observed sistematically in experiments.

Type
Research Article
Copyright
Copyright © Materials Research Society 2000

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References

REFERENCES

[1] Hirth, J.P. and Lothe, J., Theory of Dislocations (Krieger Publishing Company, 1992).Google Scholar
[2] Nabarro, F.R.N., Theory of Crystal Dislocations (Dover, New York, 1992).Google Scholar
[3] Weiss, J. and Grasso, J.R., J. Phys. Chem. B 101, 6113 (1997).Google Scholar
[4] Phase Transitions and Critical Phenomena, edited by Domb, C. and Green, M.S. (Academic Press, London 1972-1976), Vols. 1–17.Google Scholar
[5] Bak, P., Tang, C., and Wiesenfeld, K., Phys. Rev. Lett. 59, 381 (1987); A. Vespignani and S.Zapperi, Phys. Rev. E, 57, 6345 (1998).Google Scholar
[6] Lepinoux, J. and Kubin, L.P., Scripta Metall. 21, 833 (1987).Google Scholar
[7] Amodeo, R.J. and Ghoniem, N.M., Phys. Rev. B 41, 6958 and 6968 (1990).Google Scholar
[8] Groma, I. and Pawley, G.S., Phil. Mag. A, 67, 1459 (1993).Google Scholar
[9] Fournet, R. and Salazar, J.M., Phys. Rev. B 53, 6283 (1996).Google Scholar
[10] Miguel, M.C., Vespignani, A., and Zapperi, S., in preparation.Google Scholar
[11] Hahner, P., Bay, K., and Zaiser, M., Phys. Rev. Lett. 81, 2470 (1998).Google Scholar
[12] Bakó, B. and Groma, I., Phys. Rev. B 60, 122 (1999).Google Scholar
[13] Garcimartin, A., Guarino, A., Bellon, L., and Ciliberto, S., Phys. Rev. Lett. 79, 3202 (1997); A. Petri, G. Paparo, A. Vespignani, A. Alippi, and M. Costantini Phys. Rev. Lett. 73, 3423 (1994).Google Scholar
[14] Bertotti, G., Durin, G., and Magni, A., J. Appl. Phys. 75, 5490 (1994).Google Scholar
[15] Field, S., Witt, J., Nori, F. and Ling, X.. Phys. Rev. Lett. 74, 1206 (1995).Google Scholar
[16] For a review on mechanisms that generate spontaneously critical behavior see Dickman, R., Muñoz, M. A., Vespignani, A. and Zapperi, S., e-print cond-mat/9910454.Google Scholar