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Computer simulation of grain growth kinetics with solute drag

Published online by Cambridge University Press:  31 January 2011

D. Fan
Affiliation:
P.O. Box 5800, MS 1411, Sandia National Laboratories, Albuquerque, New Mexico 87185
S. P. Chen
Affiliation:
Theoretical Division, MS B262, Los Alamos National Laboratory, Los Alamos, New Mexico 87545
Long-Qing Chen
Affiliation:
Department of Materials Science and Engineering, The Pennsylvania State University, University Park, Pennsylvania 16862
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Abstract

The effects of solute drag on grain growth kinetics were studied in two-dimensional (2D) computer simulations by using a diffuse-interface field model. It is shown that, in the low velocity/low driving force regime, the velocity of a grain boundary motion departs from a linear relation with driving force (curvature) with solute drag. The nonlinear relation of migration velocity and driving force comes from the dependence of grain boundary energy and width on the curvature. The growth exponent m of power growth law for a polycrystalline system is affected by the segregation of solutes to grain boundaries. With the solute drag, the growth exponent m can take any value between 2 and 3, depending on the ratio of lattice diffusion to grain boundary mobility. The grain size and topological distributions are unaffected by solute drag, which are the same as those in a pure system.

Type
Articles
Copyright
Copyright © Materials Research Society 1999

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References

REFERENCES

1.Atkinson, H. V., Acta Metall. 36, 469 (1988).CrossRefGoogle Scholar
2.Glazier, J. A., Philos. Mag. B 62, 615 (1990).CrossRefGoogle Scholar
3.Fradkov, V.E., Physica D: Nonlinear Phenomena 66, 50 (1993).CrossRefGoogle Scholar
4.Martin, J. W. and Doherty, R. D., in Stability of Microstructure in Metallic Systems (Cambridge University Press, 1976), p. 228.Google Scholar
5.Guttmann, M. and Mclean, D., Interface Segregation, edited by Johnson, W.C. and Blakely, D. M. (Am. Soc. Metal, Metals Park, OH, 1977), pp. 261350.Google Scholar
6.Cahn, J. W., Acta Metall. 10, 789 (1962).CrossRefGoogle Scholar
7.Hillert, M. and Sundman, B., Acta Metall. 24, 731 (1976).CrossRefGoogle Scholar
8.Krzanowski, J. E. and Allen, S. M., Surf. Sci. 144, 153 (1984).CrossRefGoogle Scholar
9.Krzanowski, J. E. and Allen, S. M., Acta Metall. 34, 1035 (1986).CrossRefGoogle Scholar
10.Krzanowski, J. E. and Allen, S. M., Acta Metall. 34, 1045 (1991).CrossRefGoogle Scholar
11.Krzanowski, J. E. and Allen, S. M., Acta Metall. 31, 213 (1983).CrossRefGoogle Scholar
12.Brook, R. J. in Ceramic Fabrication Processes, edited by Wang, F. F. Y. (Academic Press, New York, 1976), p. 331.Google Scholar
13.Fan, D. and Chen, L-Q., Acta Mater. 45, 611622 (1997);CrossRefGoogle Scholar
Fan, D. and Chen, L-Q.Acta Mater. 45, 11151126 (1997).Google Scholar
14.Chen, L-Q. and Yang, W., Phys. Rev. B 50, 15752 (1994).Google Scholar
15.Fan, D. and Chen, L-Q., Acta Mater. 45, 32973310 (1997).CrossRefGoogle Scholar
16.Fan, D. and Chen, L-Q., J. Am. Ceram. Soc. 79, 1163 (1997).Google Scholar
17.Cahn, J. W. and Hilliard, J. E., J. Chem. Phys. 28, 258 (1958).CrossRefGoogle Scholar
18.Allen, S.M. and Cahn, J. W., Acta Metall. 27, 1085 (1979).CrossRefGoogle Scholar
19.Cahn, J. W., Acta Metall. 9, 795 (1961).CrossRefGoogle Scholar
20.Fan, D., Ph.D. Dissertation, The Pennsylvania State University (1996), pp. 6983.Google Scholar
21.Fan, D. and Chen, L-Q., Philos. Mag. Lett. 75, 187 (1997).CrossRefGoogle Scholar
22.Hondros, E.D. and Seah, M.P., Physical Metallurgy, 3rd ed., edited by Cahn, R.W. and Haasen, P. (North-Holland, Amsterdam, 1983), p. 855.Google Scholar