Grain Coarsening – Insights from Curvature Modeling Cyril Stanley Smith Lecture

Abstract:

Normal and abnormal grain coarsening, NGC and AGC, are briefly reviewed and discussed in the light of grain curvature and kinetic models - notably those of Mullins. The critical importance of the log-normal grain size distribution determined by Hull and the grain shapes measured by Rhines and Craig are reviewed. It is shown that in NGC, as in particle coarsening, the largest grains or particles in their respective distributions grow at the rates, larger by a factor of the ratio of the largest to average size, required to maintain the size distributions during coarsening. The particle curvature removal model for NGC anchorage, giving = 0.2 r/f, developed here, matches surprisingly well the data reviewed by Manohar et al. Finally the need is indicated for further experimental and modeling studies to test the current ideas and to answer the many remaining questions.

• Periodical: Materials Science Forum (Volumes 715-716)
• Pages: 1-12
• DOI: https://doi.org/10.4028/www.scientific.net/MSF.715-716.1
• Online since: April 2012
• Authors: Roger D. Doherty
• Keywords: Grain Coarsening, Grain Size Distribution, Kinetic, Particle Anchored Grain Size

References

[1] C.S. Smith: Trans AIME Vol. 175 (1948), p.15.

[2] C.S. Smith: A History of Metallography University of Chicago Press, Chicago (1960).

[3] J.W. Martin, R.D. Doherty and B. Cantor: The Stability of Microstructure in Metallic Systems 2nd Ed. Cambridge University Press Cambridge UK (1996).

[4] F.C. Hull: Mater. Sci. &Technol. Vol. 4 (1988) p.778.

[5] W.W. Mullins: Acta Metall. Vol. 37 (1989) p.2979.

[6] R. E. Reed-Hill and R. Abbaschian: Fig. 6. 22 inPhysical Metallurgy Principles 3rd Ed. (1994) PWS Boston.

[7] R.D. Doherty et al. Mater. Sci. and Eng. Vol 238A (1998), p.219.

[8] R.D. Doherty in: Physical Metallurgy Eds. R.W. Cahn and P. Haasen, North-Holland, 4th. Ed. Vol. II (1996) p.1364.

[9] R.D. Doherty in: Nucleation in Recrystallization of Metallic Materials Ed. F. Haessner) 2nd Ed. Riederer-Verlag, Stuttgart Germany, (1978) p.23.

[10] F.J. Humphreys and M. Hatherly: Recrystallization and Related Annealing Phenomenon 2nd Ed. Elsevier Amsterdam (2004).

[11] A.S. Oscarsson, H-E. Ekstrom and B. Hutchinson Recrystallization 92 Mater. Sci. Forum Vol. 113-115 (1993) p.1767.

[12] R.D. Doherty, E. Hoffman, C. Hovanec and A. Lens: 2nd. Intern. Conf. on Recrystallization and Grain Growth. Edited by B. Bacrois et al. Materials Science Forum. Vol. 467-470 (2004) p.843.

DOI: 10.4028/www.scientific.net/msf.467-470.843

[13] M.E. Glicksman, P.R. Rios and D.J. Lewis: Acta Mater. Vol. 55 (2007) p.4167.

[14] R.D. MacPherson and D.J. Srolovitz: Nature Vol. 446 (2007) p.1053.

[15] F.N. Rhines and K.R. Craig: Metal. Trans. Vol. 5 (1974) p.413.

[16] W.W. Mullins and J. Vinals: Acta Metall. Vol. 37 (1989) p.991.

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

[18] P.A. Manohar, M. Ferry and T. Chandra: ISIJ Vol. 38 (1998) p, 913.

[19] M. Miodownik, E.A. Holm and G.N. Hassold: Scripta Mater. Vol. 42 (2000) p.1173.

[20] G. Couturier, R.D. Doherty, C. Maurice and R. Fortunier: Acta Mater. Vol. 53 (2005) p.977.

[21] S.C. Yang, G.T. Higgins and P. Nash: Metal Sci. J. Vol. 8 (1992) p.10.

[22] S. Annavarapu and R. D. Doherty: Acta Metall. and Mater. Vol. 43 (1995) p, 3207.

[23] C. Hovanec and R.D. Doherty: Research in progress Drexel University.