Scaling Cellular Automaton Simulations of Short-Range Diffusion Processes

Abstract:

By applying the cellular automaton method the short-range diffusion processes in metals can be efficiently simulated. Several examples for the two-and three dimensional modeling of recrystallization and grain-coarsening are know at the literature. In some previous works, results have been performed concerning the two-dimensional, stochastic automatons of grain-coarsening, recrystallization and allotropic transformation. In order to use these simulations also in technological processes, it is necessary to scale the results reached by the simulation. The primary aspect of adapting the automaton in technological processes is the quick-operating simulation. The aim is to develop a most simplified, scalable cellular automaton by which scaling can be efficiently performed.

• Periodical: Materials Science Forum (Volume 729)
• Pages: 150-155
• DOI: https://doi.org/10.4028/www.scientific.net/MSF.729.150
• Online since: November 2012
• Authors: Szilvia Gyöngyösi, Péter Barkóczy
• Keywords: Allotropic Transformation, Cellular Automaton (CA), Recrystallization, Short-Range Diffusion Processes, Simulation

References

[1] B. Chopard – M. Droz: Cellular Automata Modeling of Physical Systems, Cambridge University Press, (2005).

[2] D. A. Porter - K. E. Easterling: Phase Transformation in Metals and Alloys, Chapman & Hall, London, (1996).

[3] Sz. Gyöngyösi, A. Tóth, P. Barkóczy: Mat. Sci. Forum, Vol. 659, pp.405-410., (2010).

[4] Wolf - S. Yip: Materials Interfaces, Kluwer Academic Publishers, Dordrecht, (1992).

[5] W. H. Press – S. A. Teukolsky – W. T. Wetterling – B. P. Flannery: Numerical Recipes in C, Cambridge University Press, Cambridge, (1992).

DOI: 10.1017/s0263574700010675

[6] S. Wolfram: A New Kind of Science, Wolfram Media, (2002).

[7] H. W. Hesselbarth - I. R. Göbel: Acta Metall., Vol. 39, No. 9, pp.2135-2143, (1991).

[8] C. H. J. Davies: Sripta Mater., Vol. 36, No. 1, pp.35-40, (1997).

[9] Z. Gácsi ed.: Sztereológia és képlelemzés, Well-Press, Miskolc, (2001).

[10] J. Verő – M. Káldor: Fémtan, Nemzeti Tankönyvkiadó, Budapest, (1996).