Monte-Carlo Version of Vertex Model Applied to Recrystallization Modeling

Abstract:

A newly developed model based on vertex concept is presented in this paper. Contrary to its standard version, which is strictly deterministic, some concepts of Monte-Carlo type method were introduced. It makes the model more flexible and allows to introduce some parameters appearing in vertex movement equations, which are not easy to express in analytical form. Initial microstructure in the model is characterized by topology, crystallographic orientations and stored energy values of the grains. The boundary energies and mobilities are anisotropic in general. Nucleation mechanism of a given type is selected at the beginning of calculations. Deformation texture, stored energy distribution and initial microstructure are input parameters of the model. The aim of the calculations is to predict the texture and microstructure modifications during recrystallization. The model was also applied to the study of the kinetics of grain growth and recrystallization. The preliminary tests of the model are presented.

• Periodical: Materials Science Forum (Volumes 495-497)
• Pages: 1183-1188
• DOI: https://doi.org/10.4028/www.scientific.net/MSF.495-497.1183
• Online since: September 2005
• Authors: K. Piękoś, Jacek Tarasiuk, Krzysztof Wierzbanowski, Ph. Gerber, Brigitte Bacroix
• Keywords: Crystallographic Texture, Grain Boundary Energy, Monte Carlo Modeling, Recrystallization, Stored Energy, Vertex Model

References

[1] D. J. Srolovitz, G.S. Grest and M.P. Anderson: Acta Metall., Vol. 34 (1986), p.1833.

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

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

[4] J. Kroc and V. Paidar: Proc. of the First Joint Intern. Conf. REX & GG (eds. G. Gottstein and A. Molodov), Vol. 1, p.245 (Springer-Verlag, Berlin 2001).

[5] K. Sztwiertnia: Arch. of Metall., Vol. 41 (1996), p.101.

[6] K. Wierzbanowski, J. Tarasiuk, B. Bacroix, K. Sztwiertnia and P. Gerber: Metals and Materials Int., Vol. 9 (2003), p.9.

DOI: 10.1007/bf03027223

[7] M.C. Demirel, A. P. Kuprat, D.C. George, B.S. El-Dasher, G.K. Straub and A.D. Rollet: Proc. of the First Joint Intern. Conf. REX & GG (eds G. Gottstein and A. Molodov), Vol. 1, p.297 (Springer-Verlag, Berlin 2001).

[8] F. J. Humphreys and M. Hatherly, Recrystallization and Related Annealing Phenomena, (Pergamon Press, Oxford 1995).

[9] K. Piękoś, J. Tarasiuk, K. Wierzbanowski and B. Bacroix, Development of Two - Dimensional Vertex Type Model, Materials Science Forum, 467-470 (2004), p.653.

DOI: 10.4028/www.scientific.net/msf.467-470.653

[10] J. Tarasiuk, Ph. Gerber, B. Bacroix, K. Piękoś, Modeling of recrystallization using Monte Carlo method based on EBSD data, ICOTOM 13, Seoul, Korea; printed in: Materials Science Forum, Vol. 408 - 412 (2002), p.395.

DOI: 10.4028/www.scientific.net/msf.408-412.395

[11] F. Cleri, Physica A, Vol. 282 (2000), p.339.