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Normal Grain Growth in Three Dimensions: Monte Carlo Potts Model Simulation and Mean-Field Theory

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Abstract:

A modified Monte Carlo Potts model algorithm for single-phase normal grain growth in three dimensions in presented, which enables an extensive statistical analysis of the growth kinetics and topological properties of the microstructure within the quasi-stationary self-similar coarsening regime. From the mean-field theory an analytical grain size distribution function is derived, which is based on a quadratic approximation of the average self-similar volumetric rate of change as a function of the relative grain size as it has been determined from the simulation. The analytical size distribution function is found to be in excellent agreement with the simulation results.

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Periodical:

Materials Science Forum (Volume 550)

Pages:

589-594

DOI:

https://doi.org/10.4028/www.scientific.net/MSF.550.589

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Online since:

July 2007

Authors:

Dana Zöllner, Peter Streitenberger

Keywords:

Grain Growth, Kinetic, Mean Field Theory, Microstructure, Monte-Carlo Simulation

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© 2007 Trans Tech Publications Ltd. All Rights Reserved

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References

[1] H.V. Atkinson: Acta Metall. Vol. 36 (1988), p.469.

Google Scholar

[2] C.V. Thompson: Solid State Phys. Vol. 55 (2001), p.269.

Google Scholar

[3] O. Hunderi, N. Ryum: J. Mater. Sci. Vol. 15 (1980), p.1104.

Google Scholar

[4] W.W. Mullins: Acta Mater. Vol. 46 (1998), p.6219.

Google Scholar

[5] M. Hillert: Acta Metall. Vol. 13 (1965), p.227.

Google Scholar

[6] I.M. Lifshitz, V.V. Slyozov: J. Phys. Chem. Solids Vol. 19 (1961), p.35.

Google Scholar

[7] C. Wagner: Z. Elektrochemie Vol. 65 (1961), p.581.

Google Scholar

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

Google Scholar

[9] A.D. Rollett, P. Manohar: In: D. Raabe et al., editors. Continuum scale simulation of engineering materials. (Weinheim, Wiley-VCH 2004), p.77.

Google Scholar

[10] D. Zöllner, P. Streitenberger: Mater. Sci. Forum Vol. 467-470 (2004), p.1129.

Google Scholar

[11] D. Zöllner, P. Streitenberger: Scripta Mater. Vol. 54 (2006), p.1697.

Google Scholar

[12] G. Liu, H. Yu, X. Qin: Mater. Sci. Eng. A Vol. 326 (2002), p.276.

Google Scholar

[13] C. Zhang, A. Suzuki, T. Ishimaru, M. Enomoto: Metall. Mater. Trans. Vol. 35A (2004), p. (1927).

Google Scholar

[14] G. Abbruzzese, K. Lücke: Mater. Sci. Forum Vol. 204-206 (1996), p.55.

Google Scholar

[15] F. Wakai, N. Enomoto, H. Ogawa: Acta Mater. Vol. 48 (2000), p.1297.

Google Scholar

[16] P.E. Di Nunzio: Acta Mater. Vol. 49 (2001), p.3635.

Google Scholar

[17] J. von Neumann: Metal Interfaces (1952), p.108.

Google Scholar

[18] W.W. Mullins: J. Appl. Phys. Vol. 27 (1956), p.900.

Google Scholar

[19] S. Hilgenfeldt, A.M. Kraynik, S.A. Koehler, H.A. Stone: Phys. Rev. Lett. Vol. 86 (2001) 2685.

Google Scholar

[20] M.E. Glicksman: Phil. Mag. Vol. 85 (2005), p.3.

Google Scholar

[21] P. Streitenberger, D. Zöllner: Scripta Mater. Vol. 55 (2006), p.461.

Google Scholar