On the Validation of the Monte Carlo Technique in Simulation of Grain Growth in Small, Two-Dimensional Systems

Article Preview

Abstract:

The kinetics of grain growth in real systems is influenced by several unknown factors, making a theoretical treatment very difficult. Idealized grain growth, assuming all grain boundaries to have the same energy and mobility (mobility M = k/ρ, where k is a constant and ρ is grain boundary curvature) can be treated theoretically, but the results obtained can only be compared to numerical grain growth simulations, as ideal grain growth scarcely exists in nature. The validity of the simulation techniques thus becomes of great importance. In the present investigation computer simulations of grain growth in two dimensions using Monte Carlo simulations and the grain boundary tracking technique have been investigated and compared in small grain systems, making it possible to follow the evolution of each grain in the system.

You might also be interested in these eBooks

Info:

Periodical:

Materials Science Forum (Volumes 558-559)

Pages:

1087-1092

Citation:

Online since:

October 2007

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2007 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] O. Hunderi, N. Ryum and H. Westengen: Acta Met. Vol. 27 (1979), p.161.

Google Scholar

[2] D. Raabe: Computational Materials Science (Wiley-VCH, Weinheim, Germany 1998).

Google Scholar

[3] C. Maurice: in Recrystallization and Grain Growth I, edited by G. Gottstein and D.A. Molodov, Springer-Verlag, 2001, p.123.

Google Scholar

[4] M.P. Anderson, D.J. Srolovitz, G.S. Grest and P.S. Sahni: Acta Met. Vol. 32 (1984), p.783.

Google Scholar

[5] M.P. Anderson, G.S. Grest and D.J. Srolovitz: Phil. Mag. B Vol. 59 (1989) p.293.

Google Scholar

[6] O. Hunderi, N. Ryum: J. Materials Science Vol. 15 (1980) p.1104.

Google Scholar

[7] R.L. Fullman: in Metal Interfaces, ASM, Cleveland, 1952, p.179.

Google Scholar

[8] F.J. Humphreys: Mat. Sci. Tech. Vol. 8 (1992), p.135.

Google Scholar

[9] J. Svoboda: Scripta Metall. Mater.: Vol. 28 (1993) p.1589.

Google Scholar

[10] C. Maurice and F.J. Humphreys, in: Thermomechanical Processing in Theory, Modelling and Practice, edited by B. Hutchinson et al., The Swedish Society for Materials Technology, Stockholm, 1997, p.201.

Google Scholar

[11] S. P. Marsh, R.A. Masumura and C.S. Pande, in: Modeling of Coarsening and Grain Growth, edited by C.S. Pande and S.P. Marsh, TMS, Chicago, (1993) p.339.

Google Scholar

[12] R. Brandt, J. Svoboda and K. Lucke, in: Grain Growth in Polycrystalline Materials III, edited by H. Weiland et al.: TMS, (1998) p.131.

Google Scholar

[13] D. Weygand, Y. Brechet, J. Lepinoux: Phil Mag. B Vol. 78 (1998), p.329.

Google Scholar

[14] K. Kawasaki, T. Nagai and K. Nakashima: Phil. Mag. B Vol. 60 (1989), p.399.

Google Scholar

[15] K.A. Brakke: Exp. Math. Vol. 1 (1992) p.141.

Google Scholar

[16] T.O. Sætre: Computer Simulation of Recrystallization and Grain Growth in Metals, Dr. ing. thesis at Department of Metallurgy, NTNU, Norway, (1988).

Google Scholar

[17] T.O. Sætre and N. Ryum: J. Sci. Comp. Vol. 3 (1988), p.189.

Google Scholar

[18] K. Marthinsen, O. Hunderi and N. Ryum: Acta mater. Vol. 44 (1996), p.1681.

Google Scholar

[19] M. Nordbakke, Private communication.

Google Scholar