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Coupling The Nano and Micro Scales In Modelling The Formation of Metallic Microstructures

Published online by Cambridge University Press:  15 February 2011

A. Chirazi  and
H. Rafii-Tabar
A. Chirazi
Affiliation:
Computational Nano-Science Research Group, School of Computing and Mathematical Sciences, University of Greenwich, 30 Park Row, London SE10 9LS, UK
H. Rafii-Tabar
Affiliation:
Computational Nano-Science Research Group, School of Computing and Mathematical Sciences, University of Greenwich, 30 Park Row, London SE10 9LS, UK
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Abstract

We have developed a model of dendritic grain growth in the solidification process of metallic alloys in which the output of a nanoscopic molecular dynamics simulation, based on the use of many-body interatomic potentials, provides the input into the microscopic nucleation and growth model of Rappaz et al. The microscopic model itself is also extended by the introduction of a stochastic dynamics, via the Ito stochastic calculus, to account for the random fluctuations in the growth trajectory of the dendrite tip. The model is applied to the industrially important Sn-Pb alloy and its result is compared with that obtained with the Rappaz model.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 580: Symposium E – Nucleation & Growth Processes in Materials , 1999 , 265
Copyright
Copyright © Materials Research Society 2000

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References

[1] Kurtz, W., Fisher, D.J., Fundamentals of Solidification. Trns. Tech. Pub., Aedermannsdorf, Switzerland (1989)Google Scholar
[2] Rappaz, M., Int. Mat. Revs., 34, 93 (1989).Google Scholar
[3] Thevoz, Ph., Desiolles, J.L. and Rappaz, M., Metall. Trans. 20A, 311 (1989).Google Scholar
[4] Rappaz, M. and Gandin, Ch.-A., Acta metall. mater, 41, 345 (1993).Google Scholar
[5] Rappaz, M., Gandin, Ch.-A., Jacot, A. and Chrbon, Ch., in Modelling of Casting, Welding and Advanced Solidification Processes, Vol VII, Eds. Cross, M. and Campbell, J. (The Mineral and Metals and materials Society, 1995) 501.Google Scholar
[6] Kurtz, W., Giovanola, B. and Trivedi, R., Acta metall. 34, 823 (1986).Google Scholar
[7] Su, K.C., Ohnaka, I., Yamauchi, I. and Fukusako, T., MRS Symp. Proc. 34, 181 (1985).Google Scholar
[8] Brown, S.G.R. and Spittle, J.A., Mat. Sci. Technol. 5, 362 (1989).Google Scholar
[9] Anderson, M.P., Srolovitz, D.J.. Grest, G.S. and Sahni, P.S., Acta. Met. 32, 783 (1984).Google Scholar
[10] Hesselbarth, H.W. and Gobel, I.R., Acta metall. mater. 39, 2135 (1991).Google Scholar
[11] Haile, J.M., Molecular Dynamics Simulation (Wiley, NY, 1992).Google Scholar
[12] Gardiner, C.W., Handbook of Stochastic Methods (Springer, Berlin, 1985).Google Scholar
[13] Cox, H., Johnston, R.L. and Murrell, J., J. Solid. State. Chem. 145, 157 (1999).Google Scholar
[14] Eggen, B.E., Johnston, R.L., Li, S. and Murrell, J., Mol. Phys. 76 619 (1992).Google Scholar
[15] Li, S., Johnston, R.L. and Murrell, J., unpublished work.Google Scholar
[16] Hultgren, R., Orr, R.L., Anderson, P.D. and Kelly, K.K., Selected Values of Thermodynamic Properties of Metals and Binary Alloys (John Wiley, NY, 1963).Google Scholar
[17] Solder Alloy Data (Int. Tin Ins. 1986).Google Scholar
[18] Nosé, S., J. Chem. Phys. 81, 511 (1984).Google Scholar
[19] Christian, W., The Theory of Transformations in Metals and Alloys (Pergamon Press, England, 1965).Google Scholar
[20] Rafii-Tabar, H., Hua, L. and Cross, M., J.Phys. Condens: Matter 10, 2375 (1998).Google Scholar