Abstract
A physical model to predict the recrystallization kinetics of single-phase polycrystalline metals, based on a single grain representation of deformed microstructure (characterized by a mean subgrain size and mean misorientation of subgrain boundaries), is presented. The model takes into account the grain geometry, the position, and the density of the nucleation sites. The selected geometry is a regular tetrakaidecahedron, combining topological features of a random Voronoi-distribution characteristic for polycrystalline material with the advantages of a single grain calculation. The model employs empirically determined relationships from existing literature to describe the deformed microstructure and, in so doing, facilitates the prediction of the recrystallization behavior when only the deformation strain and the recrystallization temperature are known. The boundary mobility and the driving force, as well as the nucleation density, are related to the true plastic strain of deformation through the microstructure. The model also describes the effects of concurrent recovery on the overall recrystallization kinetics.
Similar content being viewed by others
References
F.J. Humphreys and M. Hatherly: Recrystallisation and Related Annealing Phenomena, Pergamon, London, 1996.
D. Juul Jensen, N. Hansen, and F.J. Humphreys: Acta Metall., 1985, vol. 33, pp. 2155–2255.
N. Hassen, T. Leffers, and J.K. Kems: Acta Metall., 1981, vol. 29, pp. 1523–1622.
A.P. Beck and P.R. Sperry: J. Appl. Phys., 1950, vol. 21, pp. 150–57.
J. Hjelen, R. Orsund, and E. Nes: Acta Metall. Mater., 1991, vol. 39, pp. 1377–404.
P.L. Orsettirossi and C.M. Sellars: Mater. Sci. Technol., 1999, vol. 15, pp. 185–92.
P.L. Orsettirossi and C.M. Sellars: Mater. Sci. Technol., 1999, vol. 15, pp. 193–201.
T. Furu and E. Nes: Mater. Sci. Forum, 1993, vols. 113–115, pp. 311–16.
R.A. Vandermeer and B.B. Rath: Metall. Trans. A, 1989, vol. 20A, pp. 391–401.
R.A. Vandermeer and D. Juul Jensen: Acta Metall. Mater., 1994, vol. 42, pp. 2427–36.
J.W. Cahn: Acta Metall., 1956, vol. 4, pp. 449–59.
R.A. Vandermeer and R.A. Masumura: Acta Metall. Mater., 1992, vol. 40, pp. 877–86.
A.D. Rollett: Progr. Mater. Sci., 1997, vol. 42, pp. 79–99.
Y. Van Leeuwen, S. Vooijs, J. Sietsma, and S. van der Zwaag: Metall. Mater. Trans. A, 1998, vol. 29A, pp. 2925–31.
S.I. Vooijs, Y. Van Leeuwen, J. Sietsma, and S. van der Zwaag: Metall. Mater. Trans. A, 2000, vol. 31A, pp. 379–85.
T.A. Kop, Y. Van Leeuwen, J. Sietsma, and S. van der Zwaag: Iron Steel Inst. Jpn. Int., 2000, vol. 40, pp. 713–18.
H.K.D.H. Bhadeshia: Worked Examples in the Geometry of Crystals, The Institute of Metals, London, 1987.
J.W. Cahn: Trans. Indian Inst. Metall., 1997, vol. 50 (6), pp. 573–80.
T. Furu, R. Orsund, and E. Nes: Acta Metall. Mater., 1995, vol. 43 (6), pp. 2209–32.
J. Gil Sevillano, P. van Houtte, and E.A.D. Aernoudt: Progr. Mater. Sci., 1980, vol. 25, pp. 69–412.
H.E. Vatne, T. Furu, and E. Nes: Proc. Int. Conf. on Recrystallization and Related Topics, Monterey, CA, Oct. 21–24, 1996.
N. Hansen and D.A. Hughes: Phys. Status Solidii (b), 1995, vol. 149, pp. 155–72.
C.M. Sellars: in Thermomechanical Processing in Theory, Modeling & Practice [TMP] 2, W.B. Hutchinson et al., eds., Swedish Society for Metals Technology, Stockholm, 1996, pp. 35–51.
H.E. Vante, T. Furu, R. Orsund, and E. Nes: Acta Mater., 1996, vol. 44, pp. 4463–73.
F.J. Humphreys: Acta Mater., 1997, vol. 45, pp. 4231–40.
R. Orsund and E. Nes: Scripta Metall., 1989, vol. 23, pp. 1187–92.
Y. Huang and F.J. Humphreys: Acta Mater., 1999, vol. 47, pp. 2259–68.
Y. Huang and F.J. Humphreys: Acta Mater., 2000, vol. 48, pp. 2017–30.
G. Gottstein and L.S. Shvindlerman: Scripta Metall., 1992, vol. 27, pp. 1515–20.
A.D. Rollett and E.A. Holm: Proc. Int. Conf. on Recrystallization and Related Topics, Monterey, CA, Oct. 21–24, 1996.
F.N. Rhines and B.R. Patterson: Metall. Trans. A, 1982, vol. 13A, pp. 985–93.
A. Thorvaldsen: Acta Mater., 1997, vol. 45, pp. 587–97.
R. Sandstrom: Acta Metall. Mater., 1977, vol. 25, pp. 897–904.
E. Nes: Acta Metall. Mater., 1995, vol. 43, pp. 2189–2207.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Chen, S.P., Van Der Zwaag, S. & Todd, I. Modeling the kinetics of grain-boundary-nucleated recrystallization processes after cold deformation. Metall Mater Trans A 33, 529–537 (2002). https://doi.org/10.1007/s11661-002-0115-4
Received:
Issue Date:
DOI: https://doi.org/10.1007/s11661-002-0115-4