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Using Principle of Virtual Motion and Galerkin Approximation to Analyze Surface Diffusion

Published online by Cambridge University Press:  15 February 2011

B. Sun ,
Z. Suo  and
A. C. F. Cocks
B. Sun
Affiliation:
Mechanical and Environmental Engineering Department, Materials Department, University of California, Santa Barbara, CA 93111
Z. Suo
Affiliation:
Mechanical and Environmental Engineering Department, Materials Department, University of California, Santa Barbara, CA 93111
A. C. F. Cocks
Affiliation:
Engineering Department, Cambridge University, Cambridge CB2 1PZ, UK
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Abstract

This paper outlines the use of the Principle of Virtual Motion and the Galerkin approximation to analyze surface diffusion phenomena. Various ideas are illustrated with an analysis of the evolution of a fiber of bamboo-like grain structure.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 403: Symposium I – Polycrystalline Thin Films: Structure, Texture, Properties and Applications II , 1995 , 71
Copyright
Copyright © Materials Research Society 1996

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References

1. Herring, C., The Physics of Powder Metallurgy, McGraw-Hill, New York, 1951, p. 143.Google Scholar
2. Mullins, W.W., J. Appl. Phys. 28, 333 (1957).Google Scholar
3. Sun, B., Suo, Z. and Cocks, C.F.C., J. Mech. Phys. Solids. In press (1995).Google Scholar
4. Svoboda, J. and Riedel, H., Acta Metall. Mat. 43, 1 (1995).Google Scholar
5. Rayleigh, , The Theory of Sound, reprinted by Dover Publications, New York, 1945.Google Scholar
6. Miller, K.T. and Lange, F.F., Acta Metall. 37, 1343 (1989).Google Scholar