Potts Model Simulation of Grain Boundary Junction Limited Grain Growth

Article Preview

Abstract:

The standard Monte Carlo (MC) Potts model is modified regarding the mobility of grain boundaries and their junctions allowing the simulation of a size effect observed in nanocrystalline grain growth. In large simulation studies different properties are measured. For initially very small grains the early growth regime corresponds to a separate coarsening state, which is characterised by an average growth law and a self-similar grain size distribution that both show strong deviations from the parabolic normal grain growth behaviour. The simulation results can be described by a theoretical model based on a statistical mean-field theory for nanocrystalline grain growth.

You might also be interested in these eBooks

Info:

Periodical:

Materials Science Forum (Volumes 715-716)

Pages:

623-628

Citation:

Online since:

April 2012

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2012 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] C.C. Koch, I.A. Ovid'ko, S. Seal and S. Veprek: Structural Nanocrystalline Materials (Cambridge University Press 2007).

Google Scholar

[2] M. Dao, L. Lu, R.J. Asaro, J.T.M. De Hosson and E. Ma: Acta Mater. Vol. 55 (2007), p.4041.

Google Scholar

[3] C.E. Krill, L. Helfen, D. Michels, H. Natter, A. Fitch, O. Masson and R. Birringer: Phys. Rev. Lett. Vol. 86 (2001), p.842.

DOI: 10.1103/physrevlett.86.842

Google Scholar

[4] A.J. Haslam, S.R. Phillpot, D. Wolf, D. Moldovan and H. Gleiter: Mater. Sci. Eng. A 318 (2001), p.293.

Google Scholar

[5] R. Kirchheim: Acta Mater. Vol 50 (2002), p.413.

Google Scholar

[6] C.S. Pande and R.A. Masumura: Mater. Sci. Eng. A 409 (2005), p.125.

Google Scholar

[7] V.Y. Novikov: Scripta Mater. Vol 52 (2005), p.857.

Google Scholar

[8] G. Gottstein and L.S. Shvindlerman: Scripta Mater. Vol 54 (2006), p.1065.

Google Scholar

[9] D. Farkas, S. Mohanty and J. Monk: Phys. Rev. Letters Vol 98, 165502 (2007).

Google Scholar

[10] D. Zöllner: Monte Carlo Potts Model Simulation and Statistical Mean-Field Theory of Normal Grain Growth (Shaker-Verlag, Aachen 2006).

DOI: 10.1007/978-3-540-85715-0_1

Google Scholar

[11] D. Weygand, Y. Bréchet and J. Lépinoux: Acta Mater. Vol. 46 (1998), p.6559.

Google Scholar

[12] P. Streitenberger and D. Zöllner: elsewhere in this conference proceedings.

Google Scholar