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Diffusion Limited Interface Kinetics in Multicomponent Systems

Published online by Cambridge University Press:  25 February 2011

William D. Hopfe  and
J. E. Morral
William D. Hopfe
Affiliation:
Department of Metallurgy and Institute of Materials Science, University of Connecticut, Room 111, 97 N. Eagleville Road Storrs, CT 06269–3136
J. E. Morral
Affiliation:
Department of Metallurgy and Institute of Materials Science, University of Connecticut, Room 111, 97 N. Eagleville Road Storrs, CT 06269–3136
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Abstract

The stability of phases in materials can be related to reactions occurring at their interfaces, for example fiber/matrix reactions in composites. The reaction can be modelled in a simple way, even for multicomponent systems, when it is diffusion controlled and when no intermediate phases form. In the current work a model is proposed that assumes local equilibrium at the interface and small concentration differences in each phase. The physical properties required for the model are the “square root diffusivity” for each phase and the applicable phase diagram. The model is applied to predicting concentration profiles and interface velocities for the reaction of a B2 aluminide containing Ni-34at%Cr-12at%Al with various Ni-rich, gamma solid solutions containing Cr and Al. The example shows how varying the gamma composition can alter the aluminide stability with respect to dissolution or growth. In addition, a simplified form of the model is given for extrapolating experimental interface velocity data.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 238: Symposium Cb – Structure and Properties of Interfaces in Materials , 1991 , 291
Copyright
Copyright © Materials Research Society 1992

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References

REFERENCES

1. Crank, J., The Mathematics of Diffusion. 2nd ed. (Oxford Univ. Press, NY, 1975), p. 386.Google Scholar
2. Zener, C., J. Appl. Phys., 20, 950 (1949).Google Scholar
3. Whelan, M.J., Metal Sci. J., 3, 95 (1969).Google Scholar
4. Sekerka, R.F., Jeanfils, C.L., and Heckel, R.W., Lectures on the Theory of Phase Transformations (TMS/AIME, Warrendale, PA, 1975), p. 117.Google Scholar
5. Kirkaldy, J.S., Can. J. Phys., 36, 907 (1958).Google Scholar
6. Coates, D.E., Metall. Trans., 3, 1203 (1972).Google Scholar
7. Cooper, A.R. and Gupta, P.K., Adv. in Nucleation and Crystallization of Glasses. Spec. Pub. No. 5 (Amer. Ceramic Soc, Columbus, OH, 1972), p. 131.Google Scholar
8. Kirkaldy, J.S. and Young, D.J., Diffusion in the Condensed State. (The Institute of Metals, London, 1987), p. 175.Google Scholar
9. Morrai, J. E. and Thompson, M. S., Scripta Metall., 22, 421 (1989).Google Scholar
10. Morrai, J.E., Scripta Metall., 18, 1251 (1984).Google Scholar
11. Thompson, M.S. and Morral, J.E., Acta Metall., 34, 339 and 2201 (1986).Google Scholar
12. Merchant, S.M. and Notis, M.R., Mater. Sc. and Engr., 6, 47 (1984).Google Scholar
13. Stalker, M.K. and Morral, J.E., Acta Metall., 38, 439 (1990).Google Scholar
14. Morral, J.E. and Thompson, M.S., Surface Coatings Tech., 43/44, 371 (1990).CrossRefGoogle Scholar
15. Nesbitt, J.A. and Heckel, R.W., Metall. Trans. A, 18A, 2061 (1987).Google Scholar
16. Janssen, M.M.P., Met. Trans., 4, 1623 (1973).Google Scholar
17. Thompson, M.S., Morral, J.E. and Romig, A.D. Jr, Metall. Trans. A, 21A 2679 (1990).Google Scholar