Hostname: page-component-54dcc4c588-sq2k7 Total loading time: 0 Render date: 2025-09-12T05:07:49.990Z Has data issue: false hasContentIssue false
  • English
  • Français

Estimation of the Phenomenological Effective Diffusivity 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

In this study we construct two new equations to describe the effective diffusivity in nanomaterials where diffusion proceeds via both the grains and the grain boundaries in comparable amounts. We analyze two very simple 2D grain configurations by Monte Carlo methods to test the validity of the equations. In addition, we also test the Hart and the recently extended Maxwell-Garnett equations. It is shown that one of the two new equations provides a very good description of diffusion in the grain models postulated.

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.)

Article purchase

Temporarily unavailable

References

1. Belova, I.V. and Murch, G.E., Phil. Mag. A, 81, 2447(2001).Google Scholar
2. Hart, E.W., Acta Metall. 5, 597 (1957).Google Scholar
3. Maxwell-Garnett, J.C., Phil. Trans. R. Soc. London, 203, 385 (1904).Google Scholar
4. Kalnins, J.R., Kotomin, E.A. and Maier, J., J.Phys Chem Solids, 63, 449 (2002).Google Scholar
5. Christensen, R.M., Mechanics of Composite Materials (Wiley-Interscience, 1979).Google Scholar
6. Belova, I.V. and Murch, G.E., Interface Science, in press.Google Scholar