Abstract
A cellular automaton model of the solid-liquid interface, combined with a finite difference computation of solute diffusion has been developed to simulate single crystal solidification in molds with step changes in geometry. Simulations were carried out for columnar dendrites passing from the narrow airfoil region of a blade into the platform region, which has an increased cross-sectional area. Different shapes of isotherms moving at a constant velocity were considered in the simulations. The change in mold geometry leads to a significant increase in the undercooling in front of the dendrite tips as they spread around the mold corner. The model was applied to geometries investigated by prior authors, correctly predicting the formation of a <001> to <010> boundary observed experimentally.
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References
M. McLean, in “Directionally Solidified Materials for HighTemperature Service” (The Metals Society, 1983) p. 5.
M. Meyer ter Vehn, D. Dedecke, U. Paul and P. R. Sahm, in Proceedings of the Superalloys 1996, Pennsylvania, USA, edited by R. D. Kissingger, D. J. Deye, D. L. Anton, A. D. Cetel, M. V. Nathal, T. M. Pollock and D. A. Woodford (TMS, 1996) p. 471.
R. J. Schaefer, D. R. Black, M. D. Vaudin, B. R. Mueller and A. F. Giamei, in Proceedings of the 4th Decenninal International Conference on Solidification Processing, Sheffield, UK, edited by J. Beech and H. Jones (Sheffield, UK, 1997) p. 37.
N. D'Souza, M. G. Ardakani, M. McLean and B. A. Shollock, Metall. Mater. Trans. A 31A (2000) 2877.
K. O. Yu, M. J. Beffel, M. Robinson, D. D. Goettsch, B. G. Thomas, D. Pinella and R. G. Carlson, Trans. AFS (1990) 417.
T. M. Pollock, W. H. Murphy, E. H. Goldman, D. L. Uram and J. S. Tu, in Proceedings of the Superalloys 1992, Champion, PA, Sept. 20–24, edited by S. D. Antolovich, et al. (TMS, 1992) p. 125.
K. O. Yu, J. J. Nicholas and M. Robinson, JOM 44 (1992) 21.
A. L. Purvis, C. R. Hanslits and R. S. Diehm, ibid., 46 (1994) 38.
A. L. Purvis and C. R. Hanslits, in Proceedings of the Modeling of Casting, Welding and Advanced Solidification Processes VII, London, UK, edited by M. Cross and J. Campbell (TMS/AIME, 1995) p. 475.
M. C. Schneider, J. P. Gu, C. Beckermann, W. J. Boettinger and U. R. Kattner, Metall. Mater. Trans. A 28A (1997) 1517.
J. P. Gu, C. Beckermann and A. F. Giamei, ibid. 28A (1997) 1533.
R. E. Napolitano and R. J. Schaefer, J. Mater. Sci. 35 (2000) 1641.
W. Kurz, B. Giovanola and R. Trivedi, Acta Metall. 34 (1986) 823.
U. Paul, P. R. Sahm and D. Goldschmidt, Mat. Sci. and Eng. A A173 (1993) 49.
S. M. Copley, A. F. Giamei, S. M. Johnson and M. F. Hornbecker, Metall. Trans. A A1 (1970) 2193.
P. D. Lee, D. See and R. C. Atwood, in Proceedings of the Cutting Edge of Computer Simulation of Solidification and Casting, Osaka, Japan, Nov. 14–16, 1999, edited by I. Ohnaka and H. Yasuda (ISIJ, 1999) p. 97.
W. Wang, A. Kermanpur, P. D. Lee, M. McLean, X. Wang, R. M. Ward and M. H. Jacobs, in Proceedings of the International Symposium on Liquid Metal Processing and Casting, Santa Fe, New Mexico, Sept. 23–26, 2001, edited by A. Mitchell and J. Van Den Avyle (AVS, NY, 2001) p. 267.
W. Wang, A. Kermanpur, P. D. Lee and M. Mclean, Int. J. Cast Metals Research 15 (2002) 269.
C. A. Gandin and M. Rappaz, Acta Mater. 45 (1997) 2187.
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Wang, W., Kermanpur, A., Lee, P.D. et al. Simulation of dendritic growth in the platform region of single crystal superalloy turbine blades. Journal of Materials Science 38, 4385–4391 (2003). https://doi.org/10.1023/A:1026303720544
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DOI: https://doi.org/10.1023/A:1026303720544