Hostname: page-component-84b7d79bbc-fnpn6 Total loading time: 0 Render date: 2024-07-30T10:22:18.745Z Has data issue: false hasContentIssue false
  • English
  • Français

Time Dependence of the Segregation of Diffusing Solute in Nanocrystalline Materials

Published online by Cambridge University Press:  01 February 2011

Irina V Belova  and
Graeme E Murch
Irina V Belova
Affiliation:
Diffusion in Solids Group, School of Engineering The University of Newcastle, Callaghan, NSW 2308 AUSTRALIA
Graeme E Murch
Affiliation:
Diffusion in Solids Group, School of Engineering The University of Newcastle, Callaghan, NSW 2308 AUSTRALIA
Get access

Abstract

At long times the effective solute diffusivity can be described by the (modified) Hart-Mortlock and Maxwell-Garnett equations for diffusion parallel and perpendicular to the grain boundary respectively. In this paper we analyze for the first time the time dependence of the effective solute diffusivity for these conditions. We assume that there are local regions (delineated by the diffusion length) in the grains adjacent to the grain boundary where the solute is equilibrated with the grain boundary. We write equations for the effective solute diffusivity with this assumption. Comparison with Monte Carlo simulations shows that this is quite a reasonable approximation for solute diffusion parallel to the grain boundary. For diffusion perpendicular to the grain boundary it is only a fair approximation unless the segregation is weak.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 731: Symposium W – Modeling and Numerical Simulation of Materials Behavior and Evolution , 2002 , W5.4
Copyright
Copyright © Materials Research Society 2002

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

1. Kaur, I, Mishin, Y and Gust, W., Fundamentals of Grain and Interphase Boundary Diffusion (Wiley, Chichester, 1995).Google Scholar
2. Riley, D.P, Belova, I.V. and Murch, G.E., Proc. Mat. Res. Soc., 677, AA7.11 (2001).Google Scholar
3. Murch, G.E. and Belova, I.V., Interface Science, special issue edited by Mishin, Y., in press.Google Scholar
4. Murch, G.E. and Rothman, S.J., Diffusion Defect Data, 42, 17 (1985).Google Scholar
5. Murch, G.E., Diffusion Defect Data, 32, 1 (1983).Google Scholar
6. Belova, I.V. and Murch, G.E., Phil. Mag. A, 81, 2447 (2001).Google Scholar
7. Hart, E.W., Acta Metall., 5, 597 (1957).Google Scholar
8. Mortlock, A.J., Acta Metall., 8, 132 (1960).Google Scholar
9. Maxwell-Garnett, J.C., Phil. Trans. R. Soc. London, 203, 385 (1904).Google Scholar
10. Kalnins, J.R., Kotomin, E.A. and Maier, J., J.Phys. Chem. Solids, 63, 449 (2002).Google Scholar