Hostname: page-component-7bb8b95d7b-fmk2r Total loading time: 0 Render date: 2024-09-22T13:33:59.350Z Has data issue: false hasContentIssue false

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

Published online by Cambridge University Press:  15 February 2011

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
Get access

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
Copyright
Copyright © Materials Research Society 1996

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

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