Abstract
The kinetics of the bcc-hcp transition in Zr in the presence of dislocations is investigated by numerical simulation methods. It is shown that the transition occurs in a nondiffusional (at a velocity of the order of the speed of sound) in two stages: relatively long development of instability of long-wavelength acoustic phonons and a fast stage of instability of short-wavelength phonons. The elastic stresses near a dislocation make it possible for these instabilities to develop at much lower temperatures than in an ideal crystal.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Ya. B. Zel’dovich, Zh. Éksp. Teor. Fiz. 12, 525 (1942).
J. W. Cahn, Acta Metall. 5, 168 (1957).
V. G. Vaks, JETP Lett. 63, 471 (1996).
K. Binder and M. Kalos, in Monte Carlo Methods in Statistical Physics, edited by K. Binder (Springer-Verlag, New York, 1979) [Russian translation, Mir, Moscow, 1989].
G. V. Kurdyumov, in Problems of Modern Physics, edited by A. P. Aleksandrov (Nauka, Moscow, 1980) p. 396.
M. I. Katsnel’son and A. V. Trefilov, Fiz. Met. Metalloved. 64, 629 (1987).
M. I. Katsnelson, I. I. Naumov, and A. V. Trefilov, Phase Transit. 49, 143 (1994).
A. L. Roitburd and A. G. Khachaturyan, Fiz. Met. Metalloved. 30, 1189 (1970).
J. A. Krumhansl, Phase Transitions B 65, 109 (1998).
G. Guenin and P. F. Gobin, Metall. Trans. A 13, 1127 (1982).
P. C. Clapp, Physica D 66, 26 (1993).
P. Entel, K. Kadau, R. Meyer et al., Phase Transitions B 65, 79 (1998); R. Meyer and P. Entel, Comput. Mater. Sci. 10, 10 (1998).
J. R. Morris, Y. Y. Ye, K. M. Ho et al., Philos. Mag. A 72, 751 (1995).
G. É. Brainin and V. A. Likhachev, Metallofizika (Kiev) 4, 50 (1982).
Y. Chen, K. M. Ho, and B. N. Harmon, Phys. Rev. B 37, 283 (1988).
W. G. Burgers, Physica (Amsterdam) 1, 561 (1934).
W. Petry, Phase Transitions B 31, 119 (1991); Yu. N. Gornostyrev, M. I. Katsnelson, A. V. Trefilov et al., Phys. Rev. B 54, 3286 (1996).
B. Horovitz, J. L. Murray, and J. A. Krumhansl, Phys. Rev. B 18, 3549 (1978).
B. L. Zhang, C. Z. Wang, K. M. Ho et al., Phys. Rev. Lett. 74, 1375 (1995).
I. M. Dubrovskii and M. A. Krivoglaz, Zh. Éksp. Teor. Fiz. 77, 1017 (1979) [Sov. Phys. JETP 50, 512 (1979)].
J. P. Hirth and J. Lothe, Theory of Dislocations (McGraw-Hill, New York, 1967) [Russian translation, Atomizdat, Moscow, 1972].
Author information
Authors and Affiliations
Additional information
Pis’ma Zh. Éksp. Teor. Fiz. 70, No. 6, 376–380 (25 September 1999)
Rights and permissions
About this article
Cite this article
Gornostyrev, Y.N., Katsnel’son, M.I., Kuznetsov, A.R. et al. Microscopic description of the kinetics of a martensitic transition in real crystals: bcc-hcp transition in Zr. Jetp Lett. 70, 380–384 (1999). https://doi.org/10.1134/1.568184
Received:
Issue Date:
DOI: https://doi.org/10.1134/1.568184