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Dislocation Nucleation from a Surface CUSP

Published online by Cambridge University Press:  15 February 2011

Jiangwei Li ,
Cheng-hsin Chiu  and
Huajian Gao
Jiangwei Li
Affiliation:
Division of Applied Mechanics, Stanford University, CA 94305.
Cheng-hsin Chiu
Affiliation:
Division of Applied Mechanics, Stanford University, CA 94305.
Huajian Gao
Affiliation:
Division of Applied Mechanics, Stanford University, CA 94305.
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Abstract

Theoretical and experimental studies have suggested that surface roughness may significantly enhance the nucleation of misfit dislocations in a strained heteroepitaxial film, especially in view of a stress-induced roughening instability which tends to form cusp-like stress singularities along the film surface. In this paper, the process of dislocation nucleation is perceived as a single dislocation emerging from a gradually sharpening surface groove. An analysis similar to the Rice-Thomson model for dislocation nucleation from a crack tip is carried out to determine the nucleation condition in terms of the depth and curvature of the surface groove. Specific applications are made to Si1−xGex alloy films on Si (100) substrates.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 317: Symposium B – Mechanisms of Thin Film Evolution , 1993 , 303
Copyright
Copyright © Materials Research Society 1994

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References

REFERENCES

1 van der Merwe, J. H., J. Appl. Phys. 34, 123 (1963).CrossRefGoogle Scholar
2 Matthews, J. W., In Epitaxial Growth, edited by Matthews, J. W. (Academic Press, New York, 1975), Part B, Chap. 8.Google Scholar
3 Freund, L. B., J. Appl. Mech. 54, 553 (1987).CrossRefGoogle Scholar
4 Nix, W. D., Metall. Trans. A 20A, 2217 (1989).CrossRefGoogle Scholar
5 Srolovitz, D. J., Acta Metall. 37, 621 (1989).CrossRefGoogle Scholar
6 Gao, H., Mech, J.. Phys. Solids 39, 443 (1991).CrossRefGoogle Scholar
7 Gao, H., Int. J. Solids Structures 28, 703 (1991).CrossRefGoogle Scholar
8 Gao, H., In Modern Theory of Anisotropie Elasticity and Applications, edited by Wu, J. J., Ting, T. C. T., and Barnett, D., SIAM, 139 (1991).Google Scholar
9 Chiu, C-h. and Gao, H., Int. J. Solids Structures. 30, 2983 (1993).Google Scholar
10 Chiu, C-h. and Gao, H., Manuscript to be presented at the 1993 MRS Fall Meeting.Google Scholar
11 Gao, H., Mech, J.. Phys. Solids, in the press.Google Scholar
12 Jesson, D. E.. Pennycook, S. J., Baribeau, J.-M., and Houghton, D. C., Phys. Rev. Lett. 71, 1744 (1993).CrossRefGoogle Scholar
13 Rice, J. R. and Thomson, R., Phil. Mag. 29, 73 (1974).CrossRefGoogle Scholar
14 Li, J., Chiu, C-h., Gao, H. and Wu, T. W., Thin Solid Films, in the press.Google Scholar
15 Beltz, G. E. and Rice, J. R., Harvard Report No. Mech-166 (1990).Google Scholar
16 Bean, J. C., Feldman, L. C., Fiory, A. T., Nakahara, S. and Robinson, I. K., J. Vac. Sci. Technol. A 2, 436 (1984).CrossRefGoogle Scholar
17 Peierls, R. E., Proc. Phys. Soc. 52, 23 (1940).CrossRefGoogle Scholar
18 Rice, J. R., Mech, J.. Phys. Solids 40, 239 (1992).CrossRefGoogle Scholar