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Stress-assisted Kosterlitz-Thouless Dislocation Nucleation: the Statistical Physics of Plastic Flow

Published online by Cambridge University Press:  15 February 2011

Robin L. Blumberg Selinger*
Affiliation:
Materials Science and Engineering Laboratory, National Institute of Standards and Technology, Gaithersburg, MD 20899; Dept. of Physics, Catholic University of America, Washington, DC 20064–0001
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Abstract

The stress-assisted Kosterlitz- Thouless (K-T) transition was proposed by Khantha, Pope and Vitek [1] as a possible mechanism for the abrupt transition from brittle to ductile behavior of single crystals as a function of temperature. We argue that in a two-dimensional crystal under elevated temperature and applied shear stress, the microscopic mechanism of the stressassisted K- T transition is the nucleation of dislocation dipole pairs with a preferred Burgers vector orientation. This defect population gives rise to an anisotropic hexatic phase with quasi-long range order along one axis and short-range order along the orthogonal axis. The laboratory signature of such a phase is scattering peaks that are “streaked,” i.e. strongly broadened along a single direction. We discuss experimental data for an analogous twodimensional system which displays order of this type. Potential implications for the brittleductile transition in three dimensions are outlined.

Type
Research Article
Copyright
Copyright © Materials Research Society 1996

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References

[1] Khantha, M., Pope, D. P., and Vitek, V., Phys. Rev. Lett. 73, 684 (1994).Google Scholar
[2] Khantha, M., Pope, D. P., and Vitek, V., Scripta Met 31, 1349 (1994).Google Scholar
[3] Khantha, M., Scripta Met 31, 1355 (1994).Google Scholar
[4] Kosterlitz, J. M. and Thouless, D. J., J. Phys. C: Solid State Phys. 6, 1181 (1973); see also David Nelson in Domb and Green, vol.7.Google Scholar
[5] Ostlund, and Halperin, , Phys. Rev. B 23, 335 (1981).Google Scholar
[6] Holian, B. L. and Ravelo, R., Phys. Rev. B 51, 11275 (1995).Google Scholar
[7] Abraham, F., Brodbeck, D., and Rafey, R. A., Phys. Rev. Lett. 73, 272 (1994).Google Scholar
[8] Viswanathan, R., Madsen, L. L., Zasadzinski, J. A., and Schwartz, D. K., Science 269, 51 (1995).Google Scholar