Abstract
A model has been developed to describe the microscopic behavior of phase transformation of carbon steels in the range of cooling rate occurring in continuous casting. In the liquid-to solidphase transformation, this model simulates the phenomena of dendrite nucleation and growth during solidification. Both δ- and γ-dendrites are involved. The nucleation and growth model has been established on the basis of published experimental data and previous work. Also, a model of the peritectic transformation of carbon steels has been included. In the solid-to solidphase transformation, the model considers the δ→ γ, γ→ α, and γ→ α + Fe3C phase transformations. The δ→ γ and γ→ α phase transformations have been modeled by using the Johnson-Mehl equation, also known as the Avrami equation. For the pearlite transformation, a nucleation law, as well as the growth kinetics, has been established. Good agreement has been found between the prediction of the model and the experimental data.
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D. Jaffrey, I. Dover, and L. Hamilton:Met. Forum, 1984, vol. 7 (2), pp. 67–78.
W.T. Hogan: inMetallurgical Processes for the Year 2000 and Beyond, H.Y. Sohn and E.S. Geskin, eds., TMS, Warrendale, PA, 1988, pp. 647–54.
A.A. Tseng, J. Zou, H.P. Wang, and S.R.H. Hoole: inPolymers and Polymeric Composites, ASME, New York, NY, 1990, MD-vol. 19, pp. 135–59.
W. Kurz and D.J. Fisher:Fundamentals of Solidification, Trans Tech Publications, Aedermannsdorf, Switzerland, 1986.
M. Rappaz:Int. Mater. Rev., 1989, vol. 34 (3), pp. 93–123.
M. Rappaz, Ph. Thevoz, J. Zou, J.-P. Gabathuler, and H. Lindschied: inState of the Art of Computer Simulation of Casting and Solidification Processes, H. Fredriksson, ed., Strasbourg, France, June 1986, MRS, Symp. Proc, vol. C, pp. 277–84.
M. Rappaz and Ph. Thévoz:Acta Metall., 1987, vol. 35, pp. 1487–97 and 2929–33.
I. Dustin and W. Kurz:Z. Metallkd., 1986, vol. 77, pp. 265–73.
D.M. Stefanescu and C. Kanetkar: inComputer Simulation of Microstructure Evolution, D.J. Srolovitz, ed., TMS-AIME, Warrendale, PA, 1986, p. 171.
K.C. Su, I. Ohnaka, I. Yamauchi, and T. Fukusako: inThe Physical Metallurgy of Cast Iron, MRS Symp. Proc, 1985, vol. 34, pp. 181–89.
H. Fredriksson and IL. Svensson: inThe Physical Metallurgy of Cast Iron, MRS Symp. Proc, H. Fredriksson and M. Hillert, eds., North-Holland, Amsterdam, The Netherlands, 1985, vol. 34, pp. 273–84.
M. Castro, J. Lacaze, and G. Lesoult:Erstarrung Metallischer Werkstoffe, P.R. Sahm, ed., DGM Informationsegesellschaft Verlag, Bad Nauheim, Germany, 1988, pp. 225–32.
J.D. Hunt:Mater. Sci. Eng., 1984, vol. 65, pp. 75–83.
G.K. Sigworth:Am. Foundrymen’s Soc, 1987, vol. 95, pp. 73–78.
D. Apelian:46th Electric Furnace Conf. Proc, Iron & Steel Society of AIME, Warrendale, PA, 1988, pp. 375–89.
D.E. Talbot:Int. Metall. Rev., 1975, vol. 20, pp. 166–83.
D.R. Poirier:Metall. Trans. B, 1987, vol. 18B, pp. 245–56.
K. Murakami, A. Shiraishi, and T. Okamoto:Acta Metall., 1984, vol. 32 (9), pp. 1423–28.
K. Murakami and T. Okamoto:Acta Metall., 1984, vol. 32 (10), pp. 1741–44.
M.C. Flemings:Solidification Processing, McGraw-Hill, New York, NY, 1974.
T. Takahashi:U.S.-Japan Cooperative Science Program Seminar on Solidification Processing, Dedham, MA, May 1983, pp. 45–60.
J. Zou, K. Tynelius, D.K. Kim, S. Shivkumar, and D. Apelian:28th Annual Conf. of Metallurgists of CIM, CIM, Halifax, NS, Canada, 1989, pp. 87–99.
J. Campbell:The Solidification of Metals, ISI Report No. 110, 1967, pp. 18–26.
K. Kubo and R.D. Pehlke:Metall. Trans. B, 1985, vol. 16B, pp. 359–66.
Q.T. Fang and D.A. Granger:Am. Foundrymen’s Soc Trans., 1989, vol. 97, p. 989.
Q.T. Fang and D.A. Granger: Light Met., 1989, pp. 927–35.
D.R. Poirier, K. Yeum, and A.L. Maples:Metall. Trans. A, 1987, vol. 18A, pp. 1979–87.
H. Fredriksson and T. Nylen:Met. Sci., 1982, vol. 16, pp. 283–94.
D.H. St. John:Acta Metall., 1990, vol. 38 (4), pp. 631–36.
D.H. St. John and L.M. Hogan:Acta Metall., 1977, vol. 25, pp. 77–81.
D.H. St. John and L.M. Hogan:Acta Metall., 1987, vol. 35, pp. 171–74.
A.P. Titchener and J.A. Spittle:Acta Metall., 1975, vol. 23, pp. 497–502.
W.J. Boettinger:Metall. Trans., 1974, vol. 5, pp. 2023–31.
A.A. Howe and D.H. Kirkwood:Solidification Processing, Ranmoor House, Sheffield, United Kingdom, Sept. 1987, pp. 41–43.
M.C.M. Cornelissen:Ironmaking and Steelmaking, 1986, vol. 13 (4), pp. 204–12.
W.A. Johnson and R.F. Mehl:Trans. AIME, 1939, vol. 135, p. 416.
M. Avrami:J. Chem. Phys., 1939, vol. 7, p. 1103; 1940, vol. 8, p. 212; 1941, vol. 9, p. 177.
E.B. Hawbolt, B. Chau, and J.K. Brimacombe:Metall. Trans. A, 1985, vol. 16A, pp. 565–78.
M. Umemoto, K. Horiuchi, and I. Tamura:Trans. Iron Steel Inst. Jpn., 1983, vol. 23, pp. 690–95.
M.B. Kuban, R. Jayaraman, E.B. Hawbolt, and J.K. Brimacombe:Metall. Trans. A, 1986, vol. 17A, pp. 1493–1503.
N. Ridely:Metall. Trans. A, 1984, vol. 15A, pp. 1019–36.
D.D. Pearson and J.D. Verhoeven:Metall. Trans. A, 1984, vol. 15A, pp. 1037–45 and 1047–54.
Y. Ueshima, S. Mizoguchi, T. Matsumiya, and H. Kajioka:Metall. Trans. B, 1986, vol. 17B, pp. 845–59.
A.R. Marder and B.L. Bramfitt:Metall. Trans. A, 1975, vol. 6A, pp. 2009–14.
B.E. Sundquist:Acta Metall., 1968, vol. 16, pp. 1413–27.
Hatto Jacobi and Klaus Schwerdtfeger:Metall. Trans. A, 1976, vol. 7A, pp. 811–20.
H.D. Brody and M.C. Flemings:Trans. TMS-AIME, 1966, vol. 236, p. 615.
T.W. Clyne and W. Kurz:Metall. Trans. A, 1981, vol. 12A, pp. 965–71.
L.S. Darken and R.P. Smith:Ind. Eng. Chem., 1951, vol. 43, p. 1815.
W.C. Leslie:The Physical Metallurgy of Steels, McGraw-Hill, New York, NY, 1981, pp. 74–77.
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Zou, J., Tseng, A.A. Microscopic modeling of fundamental phase transformations in continuous castings of steel. Metall Trans A 23, 457–467 (1992). https://doi.org/10.1007/BF02801163
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DOI: https://doi.org/10.1007/BF02801163