Paper Titles
Phase-Field Modeling and Simulation of Nucleation and Growth of Recrystallized Grains
p.1195
Modeling Recrystallization for 3D Multi-Pass Forming Processes
p.1201
Stored Energy and Recrystallisation in Cold Rolled Steel
p.1207
Coupled Simulation of the Static Recrystallization in Hot Deformed Austenite on Mesoscale
p.1213
Monte Carlo Potts Model Simulation and Statistical Theory of 3D Grain Growth
p.1219
Diffusion Controlled Abnormal Grain Growth in Ceramics
p.1227
Effect of the Intercalation of the Carbon Layer on the Kinetics of Grain Growth of FePt Magnetic Thin Film during Ordering Reaction - A Monte Carlo Simulation Study
p.1237
Characteristic Microstructure Evolution of Polycrystalline Ag Films Prepared from Ink-Jetted Ag Nanoparticle Suspension
p.1243
Grain Growth Behavior and Characteristics of Multiphase Ceramic Composites Fabricated by Organic-Inorganic Solution Technique
p.1249

Monte Carlo Potts Model Simulation and Statistical Theory of 3D Grain Growth

Article Preview

Abstract:

An improved Monte Carlo (MC) Potts model algorithm has been implemented allowing an extensive simulation of three-dimensional (3D) normal grain growth. It is shown that the simulated microstructure reaches a quasi-stationary state, where the growth of grains can be described by an average self-similar volumetric rate of change, which depends only on the relative grain size. Based on a quadratic approximation of the volumetric rate of change a generalized analytic mean-field theory yields a scaled grain size distribution function that is in excellent agreement with the simulation results.

You might also be interested in these eBooks
Recrystallization and Grain Growth III View Preview

Info:

Periodical:

Materials Science Forum (Volumes 558-559)

Pages:

1219-1224

DOI:

https://doi.org/10.4028/www.scientific.net/MSF.558-559.1219

Citation:

Cite this paper

Online since:

October 2007

Authors:

Dana Zöllner, Peter Streitenberger

Keywords:

Grain Growth, Microstructure, Monte-Carlo Simulation, Statistical Theory

Export:

RIS, BibTeX

Price:

Permissions CCC:

Request Permissions

Permissions PLS:

Request Permissions

Сopyright:

© 2007 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

References

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

Google Scholar

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

Google Scholar

[3] 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

[4] C. Ming Huang, C.L. Joanne, B.S.V. Patnaik, R. Jayaganthan: Appl. Surf. Sci. Vol. 252 (2006), p.3997.

Google Scholar

[5] M.W. Nordbakke, N. Ruym, O. Hunderi: Acta Mater. Vol. 50 (2002), p.3661.

Google Scholar

[6] R. Brandt, J. Svoboda, K. Lücke: In: H. Weiland et al., editors. Grain growth in polychrystalline materials III. (Warrendale (PA), TMS 1998), p.131.

Google Scholar

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

Google Scholar

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

Google Scholar

[9] G.L. Thomas, R.M.C. de Almeida, F. Graner: Phys. Rev. E Vol. 74 (2006), 021407.

Google Scholar

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

Google Scholar

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

Google Scholar

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

Google Scholar

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

Google Scholar

[14] P. Streitenberger, D. Zöllner: this proceedings.

Google Scholar

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

Google Scholar

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

Google Scholar