Abstract
Mechanical blocking of the columnar front during the columnar to equiaxed transition (CET) is studied by quantitatively comparing the CET positions obtained with one stochastic model and two deterministic models for the unidirectional solidification of an Al-7 (wt pct) Si alloy. One of the deterministic models is based on the solutal blocking of the columnar front, whereas the other model is based on the mechanical blocking. The solutal-blocking model and the mechanical-blocking model with the traditional blocking fraction of 0.49 give columnar zones larger than those predicted with the stochastic model. When a blocking fraction of 0.2 is adopted, however, the agreement is very good for a range of nucleation undercoolings and number density of equiaxed grains. Therefore, changing the mechanical-blocking fraction in deterministic models from 0.49 to 0.2 seems to model more accurately the mechanical-blocking process that can lead to the CET.
Similar content being viewed by others
References
S.C. Flood, J.D. Hunt: ASM Handbook, vol. 15, ASM, Materials Park, OH, 1998, pp. 130–36
D. StJohn, J. Hutt: Int. J. Cast Met. Res., 1998, vol. 11, pp. 13–22
H. Nguyen-Thi, G. Reinhart, N. Mangelinck-Noel, H. Jung, B. Billia, T. Schenk, J. Gastaldi, J. Hartwig, J. Baruchel: Metall. Mater. Trans. A, 2007, vol. 38A, pp. 1458–64
J.D. Hunt: Mater. Sci. Eng., 1984, vol. 65, pp. 75–83
M.A. Martorano, C. Beckermann, C.A. Gandin: Metall. Mater. Trans. A, 2003, vol. 34A, pp. 1657–74
S.C. Flood, J.D. Hunt: J. Cryst. Growth, 1987, vol. 82, pp. 543–51
S.C. Flood, J.D. Hunt: J. Cryst. Growth, 1987, vol. 82, pp. 552–60
C.Y. Wang, C. Beckermann: Metall. Mater. Trans. A, 1994, vol. 25, pp. 1081–93
M.A. Martorano, V.B. Biscuola: Model. Simul. Mater. Sci. Eng., 2006, vol. 14, pp. 1225–43
A. Jacot, D. Maijer, S. Cockcroft: Metall. Mater. Trans. A, 2000, vol. 31A, pp. 2059–68
R.H. Mathiesen, L. Arnberg: Mater. Sci. Eng. A, 2005, vol. 413, pp. 283–87
R.H. Mathiesen, L. Arnberg, P. Bleuet, A. Somogyi: Metall. Mater. Trans. A, 2006, vol. 37A, pp. 2515–24
A. Ludwig, M. Wu: Mater. Sci. Eng. A, 2005, vol. 413, pp. 109–14
A. Ciobanas, F. Baltaretu, Y. Fautrelle: Solidification and Gravity Iv, 2006, vol. 508, pp. 239–44
D.J. Browne: ISIJ Int., 2005, vol. 45, pp. 37–44
J. Banaszek, S. McFadden, D.J. Browne, L. Sturz, G. Zimmermann: Metall. Mater. Trans. A, 2007, vol. 38A, pp. 1476–84
S. McFadden, D.J. Browne: Scripta Mater., 2006, vol. 55, pp. 847–50
D.J. Browne, J.D. Hunt: Numer. Heat Transfer B-Fund., 2004, vol. 45, pp. 395–419
J.A. Spittle, S.G.R. Brown: J. Mater. Sci., 1989, vol. 24, pp. 1777–81
C.A. Gandin, M. Rappaz: Acta Mater., 1997, vol. 45, pp. 2187–95
M. Rappaz, C.A. Gandin, J.L. Desbiolles, P. Thevoz: Metall. Mater. Trans. A, 1996, vol. 27A, pp. 695–705
H.B. Dong, P.D. Lee: Acta Mater., 2005, vol. 53, pp. 659–68
I.S. Cho, C.P. Hong: ISIJ Int., 1997, vol. 37, pp. 1098–106
R.C. Atwood, P.D. Lee, R.S. Minisandram, R.M.F. Jones: J. Mater. Sci., 2004, vol. 39, pp. 7193–97
A. Kermanpur, N. Varahram, P. Davami, M. Rappaz: Metall. Mater. Trans. B, 2000, vol. 31B, pp. 1293–1304
D.R. Liu, J.J. Guo, S.P. Wu, Y.Q. Su, H.Z. Fu: Mater. Sci. Eng. A, 2006, vol. 415, pp. 184–94
M. Wu, A. Ludwig: Metall. Mater. Trans. A, 2007, vol. 38A, pp. 1465–75
S.V. Patankar: Numerical Heat Transfer and Fluid Flow, Hemisphere Publishing Corp., New York, NY, 1980, pp. 54–59
C.A. Gandin, M. Rappaz: Acta Metall. Mater., 1994, vol. 42, pp. 2233–46
M. Rappaz, C.A. Gandin: Acta Metall. Mater., 1993, vol. 41, pp. 345–60
P. Thevoz, J.L. Desbiolles, M. Rappaz: Metall. Trans. A, 1989, vol. 20A, pp. 311–22
J. Lipton, M.E. Glicksman, W. Kurz: Mater. Sci. Eng., 1984, vol. 65, pp. 57–63
T. Allen: Particle Size Measurement, Chapman & Hall, London, 1997, pp. 112–55
C.A. Gandin: Acta Mater., 2000, vol. 48, pp. 2483–2501
M.A. Martorano, J.D.T. Capocchi: Int. J. Cast. Met. Res., 2000, vol. 13, pp. 49–57
C.A. Siqueira, N. Cheung, A. Garcia: J. Alloys Compd., 2003, vol. 351, pp. 126–34
R.B. Mahapatra, F. Weinberg: Metall. Trans. B, 1987, vol. 18B, pp. 425–32
I. Ziv, F. Weinberg: Metall. Trans. B, 1989, vol. 20B, pp. 731–34
C.A. Gandin: ISIJ Int., 2000, vol. 40, pp. 971–79
Acknowledgments
The authors thank Fundação de Amparo à Pesquisa do Estado de São Paulo (Grant No. 03/08576-7) and Conselho Nacional de Desenvolvimento Científico e Tecnológico (Grant No. 475451/04-0) for the financial support and the scholarship to V.B. Biscuola.
Author information
Authors and Affiliations
Corresponding author
Additional information
Manuscript submitted on February 26, 2008.
Rights and permissions
About this article
Cite this article
Biscuola, V., Martorano, M. Mechanical Blocking Mechanism for the Columnar to Equiaxed Transition. Metall Mater Trans A 39, 2885–2895 (2008). https://doi.org/10.1007/s11661-008-9643-x
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11661-008-9643-x