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Continuum Modeling of Stress-Driven Surface Diffusion in Strained Elastic Materials

Published online by Cambridge University Press:  15 February 2011

L. B. Freund
Affiliation:
Division of Engineering, Brown University, Providence, RI 02912
G.E. Beltz
Affiliation:
Division of Engineering, Brown University, Providence, RI 02912
F. Jonsdottir
Affiliation:
Division of Engineering, Brown University, Providence, RI 02912
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Abstract

The free energy of a deformable crystal is assumed to consist of elastic strain energy and surface energy, and the chemical potential for surface diffusion at constant temperature is obtained under this assumption. The result is applied in considering the phenomena of instability of a flat surface in a stressed material under fluctuations in surface shape, and the development of surface roughness due to the proximity of misfit dislocations to the free surface of the material.

Type
Research Article
Copyright
Copyright © Materials Research Society 1993

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References

1 Herring, C., in Structure and Properties of Solid Surfaces, edited by Gomer, R. and Smith, C. S. (Univ. of Chicago Press, Chicago, 1953), p. 5.Google Scholar
2 Gibbs, J. W., in The Collected Works of J. Willard Gibbs, Vol. I (Longmans, Green and Co., New York, 1928), p. 183.Google Scholar
3 Tsao, J. Y., Materials Fundamentals of Molecular Beam Epitaxy, (Academic Press, Boston, 1993).Google Scholar
4 Mullins, W. W. and Sekerka, R. F., J. Chem. Phys. 82 5192 (1985).CrossRefGoogle Scholar
5 Leo, P. H. and Sekerka, R. F., Acta Metall. 37, 3119 (1989).CrossRefGoogle Scholar
6 Gurtin, M. E. and Struthers, A., Arch. Ratl. Mech. Anal. 112, 97 (1990).CrossRefGoogle Scholar
7 Srolovitz, D., Acta Metall. 37, 621 (1989).CrossRefGoogle Scholar
8 Grinfeld, M., Sov. Phys. Dokl. 31, 831 (1986).Google Scholar
9 Grinfeld, M., J. Nonlin. Sci., in press (1993).Google Scholar
10 Spencer, B. J., Voorhees, P. W. and Davis, S. H., Phys. Rev. Lett. 67, 3696 (1991).CrossRefGoogle Scholar
11 Freund, L. B. and Jonsdottir, F., J. Mech. Phys. Solids 41, in press (1993).Google Scholar
12 Thomson, R., Chuang, T.-J. and Lin, I.-H., Acta Metall. 34, 1133 (1986).CrossRefGoogle Scholar
13 Rice, J. R. and Chuang, T. J., J. Amer. Ceramic Soc. 64, 46 (1981).CrossRefGoogle Scholar
14 Gao, H., J. Mech. Phys. Solids 39, 443 (1991).CrossRefGoogle Scholar
15 Fitzgerald, E. A., Ast, D. G., Kirchner, P. D., Pettit, G. D. and Woodall, J. M., J. Appl. Phys. 63, 693 (1988).CrossRefGoogle Scholar
16 Freund, L. B., in Advances in Applied Mechanics, Vol. 30, edited by Hutchinson, J. W. and Wu, T. Y. (Academic Press, Boston, 1993), p. 1.Google Scholar

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Continuum Modeling of Stress-Driven Surface Diffusion in Strained Elastic Materials
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