Hostname: page-component-77c89778f8-sh8wx Total loading time: 0 Render date: 2024-07-18T01:03:03.800Z Has data issue: false hasContentIssue false
  • English
  • Français

Computer Simulations of the Chessboard-Like Microstructure Formation in Decomposing Alloys

Published online by Cambridge University Press:  10 February 2011

Y. Le Bouar  and
A. G. Khachaturyan
Y. Le Bouar
Affiliation:
Department of Ceramics, Rutgers University, Piscataway, New Jersey 08855-0909, USA Laboratoire d'Etude des Microstructures, ONERA, B.P. 72, 92322 Châtillon Cedex, France
A. G. Khachaturyan
Affiliation:
Department of Ceramics, Rutgers University, Piscataway, New Jersey 08855-0909, USA
Get access

Abstract

The mechanism of formation of a chessboard-like structure observed during coherent decomposition in alloys with several orientation variants of the precipitate phase is considered. It is based on the accommodation of coherency strain achieved by spatial rearrangement of orientation variants of the precipitate phase in an optimal pattern. The computational model of precipitation of the ordered tetragonal phase, based on the continuum stochastic field kinetic equations for the composition and lro parameters profiles, is formulated. Its numerical solution describes the spatial and temporal evolution of the microstructure, from nucleation to coarsening. It is shown that the chessboard-like microstructure is produced by strain-driven, self-assembling of orientation variants of the precipitate phase, faceted by the planes normal to the elastically soft directions. Coarsening of such microstructures occurs by consequent disappearance of entire rows of “tiles” in the pattern.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 481: Symposium P – Science and Technology of Semiconductor Surface Preparation , 1997 , 163
Copyright
Copyright © Materials Research Society 1998

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

1. Leroux, C., Loiseau, A., Broddin, D. and Van Tendeloo, G., Phil. Mag. B, 64 No. 1, 57 (1991).Google Scholar
2. Udoh, K-I., Araby, A. M. El, Tanaka, Y., Hisatsune, K., Yasuda, K., Van Tendeloo, G., J. Van Landuyt, Mater. Sci. and Engin. A 203, 164 (1995).Google Scholar
3. Bendersky, L. A. and Boettinger, W. J., Acta metall. mater. 42, 2337 (1994).Google Scholar
4. Van Tendeloo, G. and Amelincks, S., Phys. Stat. Sol. (a), 50, 53 (1978).Google Scholar
5. Wang, Y., Wang, H., Chen, L.-Q., and Khachaturyan, A., J. Am. Ceram. Soc., 78, 657 (1995).Google Scholar
6. Gunton, J. D., Miguel, M. San and Sahni, P. S., in Phase Transitions and Critical Phenomena, editd by Domb, C. and Lebowitz, J. L., Vol. 8 (Academic Press, London) 1983.Google Scholar
7. Bouar, Y. Le, Loiseau, A. and Khachaturyan, A. G., Acta Metall., in press.Google Scholar
8. Khachaturyan, A.G., Theory of Structural Transformations in Solids,(Wiley, New-York, 1983).Google Scholar
9. Khachaturyan, A. G., Fiz. Tverd. Tela, 8, 2710 (1966); Sov. Phys. Sol. State, 8, 2163 (1967).Google Scholar
10. Khachaturyan, A. G. and Shatalov, G. A., Soy. Phys. JETP (Engi. transl.), 29, 557 (1969).Google Scholar
11. Chen, L.-Q, Wang, Y and Khachaturyan, A. G., Phil. Mag. 65, 15, (1992).Google Scholar
12. Wen, S., Morris, J, W., and Khachaturyan, A. G., Proc. 108th Annual Meeting AIME, New Orleans, 1979, p. 126; Met. Trans., 12A, 581 (1981).Google Scholar