Cluster Dynamics Modelling of the Precipitation Kinetics in Al(ZrSc) Alloys


Article Preview

The precipitation kinetics path in multi-component alloys may involve a competition between atomic mobilities and precipitates thermodynamic stability. Cluster dynamics modelling (CDM) is a simulation method that allows to describe this competition without introducing any heuristic assumptions as, for example, in the classical theory of nucleation. CDM consists in solving numerically, for each time increment, the master equations expressing the balance of solute exchanges (absorption and emission) between clusters/precipitates. A key issue is the energetics of the nano-clusters in the nucleation range. The computation of the precipitate size distribution function allows the complete description of the precipitates kinetic evolution, in chemical composition and in size. The method is applied to the precipitation of the Al3(Zr,Sc) L12 phase in Al solid solutions. The model predicts fairly well in the precipitation path some observed coupling effects between the two solutes, particularly during the nucleation stage.



Materials Science Forum (Volumes 519-521)

Edited by:

W.J. Poole, M.A. Wells and D.J. Lloyd




P. Guyot and C. Sigli, "Cluster Dynamics Modelling of the Precipitation Kinetics in Al(ZrSc) Alloys", Materials Science Forum, Vols. 519-521, pp. 291-296, 2006

Online since:

July 2006




[1] K. Binder and D. Stauffer, Statistical theory of nucleation, condensation and coagulation, Advances in Physics, 25, p.343, (1976).

[2] P. Guyot, L. Laé, and C. Sigli, Cluster dynamics" (paper presented at the Summer School Thermodynamics, Microstructures and Plasticity of Fréjus, Kluwer Academic Publishers, pp.107-121, 2003; L. Laé, P. Guyot, and C. Sigli, "Cluster Dynamics in AlZr and AlSc alloys" 9th International Conference on Aluminium Alloys, Brisbane, p.281, 2004; L. Laé, "Modélisation et simulation en dynamique d'amas de la précipitation dans les alliages d'aluminium et dans les aciers, Ph.D. thesis, INP Grenoble, (2004).


[3] Solid Solid Phase Transformations: Conf. Phoenix, 2005. to be published Acknowledgements: this work was supported by the Precipitation, program contracted by CNRS, ARCELOR, ALCAN and CEA. They are greatly acknowledged.