Carpio Rodríguez, Ana María and Chapman, S.J. (1998) On the modelling of instabilities in dislocation interactions. Philosophical Magazine B, 78 (2). pp. 155-157. ISSN 0141-8637
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Official URL: http://www.tandfonline.com/doi/pdf/10.1080/13642819808202936
Abstract
A model for the interaction of dislocations in a honeycomb-type configuration is proposed. Formation of complex structures is expected when the two populations involved interact. Our system of conservation laws turns out to degenerate into an elliptic system and is therefore unstable in the region were such structures should appear.
| Item Type: | Article |
|---|---|
| Subjects: | Sciences > Physics > Physics-Mathematical models |
| ID Code: | 15108 |
| References: | Aifantis, E. C. 1988. Solid St. Phenom., 397: 3–4. Bacon, D. J. and Hull, D. 1984. Introduction to Dislocations., International Series on Materials Science and Technology, Vol. 37, Oxford: Pergamon. Carpio, A., Chapman, S. J. and Ockendon, J. R. 1998. preprint Kubin, N. M., Estrin, Y. and Canova, G. 1990. Patterns Defects and Materials Instabilities., Edited by: Walgraef, D. and Ghoniem, N. M. Vol. 183, 277–301. Dordrecht: Kluwer. NATO Advanced Study Institute Series Lomdahl, P. S. and Srolovitz, D. J. 1986. Phys. Rev. Lett., 57: 2702 [CrossRef], [PubMed], [Web of Science ®] Schaeffer, D. G. and Shearer, M. 1997. Europ. J. appl. Math., 8: 457 [CrossRef], [Web of Science ®] Vitek, V. 1985. Dislocations and Properties of Real Materials., 30–50. London: Institute of Metals. |
| Deposited On: | 07 May 2012 10:58 |
| Last Modified: | 07 May 2012 10:58 |
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