Hostname: page-component-84b7d79bbc-x5cpj Total loading time: 0 Render date: 2024-07-28T13:08:01.473Z Has data issue: false hasContentIssue false

Morphological Changes in Rod-Shaped Precipitates With Internal Boundaries: Finite Difference Analysis

Published online by Cambridge University Press:  21 February 2011

Jun-Ho Choy
Affiliation:
Dept. of Metallurgical & Materials Engineering, Michigan Technological University, Houghton, MI 49931
S. A. Hackney
Affiliation:
Dept. of Metallurgical & Materials Engineering, Michigan Technological University, Houghton, MI 49931
J. K. Lee
Affiliation:
Dept. of Metallurgical & Materials Engineering, Michigan Technological University, Houghton, MI 49931
Get access

Abstract

Shape evolution of rod-shaped precipitates due to surface diffusion has been studied under the conditions of constant volume and isotropie interfacial free energy. The shape evolution depends strongly on both the initial aspect ratio and the grain boundary groove angle. For a finite rod with one grain boundary, the morphology evolves into an equilibrium shape made of spherical portions if its aspect ratio and the groove angle are small. Increase in the aspect ratio causes a boundary splitting. For an infinite rod with periodic boundaries, three types of morphological evolutions are observed. When the relationship between the aspect ratio and the groove angle satisfies a certain critical condition, the shape evolves into an equilibrium. If the relationship deviates significantly from this condition, an ovulation process takes place at each location of the internal grain boundaries. When the deviation is intermediate, the morphology undergoes an oscillation in a quasi-dynamic state between the process toward an equilibrium shape and the ovulation process. The ovulation process due to internal grain boundaries is found to precede the Rayleigh spheroidization process.

Type
Research Article
Copyright
Copyright © Materials Research Society 1992

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

l. Cune, H. E.: Acta Met., 12, 1971, p. 481.Google Scholar
2. Mullins, W. W.: J. Appl. Phys., 2&1957, p. 333.Google Scholar
3. Nichols, F. A. and Mullins, W. W.: J. Appl. Phys., 26, 1965, p. 1826.Google Scholar
4. Sekerka, R. F. and Marinis, T. F.: Conference on in Situ Composites IV. (Lemkey, F. D., Cline, H. E. and McLean, M. eds.) Elsevier Science, NY, 1982, p. 67.Google Scholar
5. Nichols, F. A. and Mullins, W. W.: Trans. AIME, 222, 1965, p. 1840.Google Scholar
6. Lee, J. K. and Courtney, T. H.: Met. Trans. A, 20A. 1989, p. 1385.Google Scholar
7. Miller, K. T. and Lange, F. F.: Acta Met, 22, 1989, p. 1343.Google Scholar