Hostname: page-component-8448b6f56d-m8qmq Total loading time: 0 Render date: 2024-04-23T21:53:33.742Z Has data issue: false hasContentIssue false

Asymptotic Behavior in Grain Growth

Published online by Cambridge University Press:  15 February 2011

David T. Wu*
Affiliation:
Center for Materials Science, Los Alamos National Laboratory, Los Alamos, NM 87545
Get access

Abstract

Hillert’s model of grain growth consists of a drift term in size space that leads asymptotically to a distribution function and a growth exponent not often observed. Later theories introduce a diffusion term that is either assumed to dominate the drift term or a correction to it. This paper shows that the lower order drift term alone determines asymptotic grain growth behavior. A possible conclusion is that experimental results may need to be reinterpreted.

Type
Research Article
Copyright
Copyright © Materials Research Society 1994

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. Hillert, M., Acta metall. 13, 227 (1965).Google Scholar
2. Atkinson, H. V., Acta metall. 36, 469 (1988).Google Scholar
3. Louat, N. P., Acta metall. 22, 721 (1974).Google Scholar
4. Thorvaldsen, A., Acta metall. mater. 41, 1347 (1993).Google Scholar
5. Hunderi, O. and Ryum, N., J. Mater. Sci. 15, 1104 (1980).Google Scholar
6. Gardiner, C. W., Handbook of Stochastic Methods for Physics, Chemistry, and the Natural Sciences. (Springer-Verlag, Berlin, 1985).Google Scholar
7. Wu, D. T. (in preparation).Google Scholar
8. Mulheran, P. A. and Harding, J. H., Mater. Sci. Forum 9496, 367 (1992).Google Scholar