Abstract On the basis of describing the classical nucleation theory of martensitic
transformation and considering in detail the original derivation of
nucleation probability through statistical physics by Fisher $et~al$, the
present work points out the mistakes appearing in the recent works of some
authors who negated the calculation of the nucleation probability of
martensitic transformation with Cohen and Kaufman. The nucleation
barrier ΔG* in calculating the nucleation probability should
be the free energy change of total atoms in an embryo, rather than that
of an atom. The experiments cited by these scholars, supporting their
viewpoint of homogeneous nucleation of martensitic transformation, are
re--explained and the nucleation model suggested by them is critically
reviewed by us with the basic concept of statistical physics. Finally,
several research directions are briefly suggested for study of the
nucleation of martensitic transformation.
[1] , 1948;18:999Kurdjumov G V.J Met,1959;11:449 [2] Shih C H,Averbach B L,Cohen M.Trans AIME,1955 203: 183 [3] Wechsler M S, Lieberman D S, Read T A. Trans AIME,1953; 197: 1503 [4] Bowles J S, Mackenzie J K. Acta Metall, 1954; 2: 129,224, 1957; 5: 137 [5] Hsu T Y(Xu Zuyao).Martensitic Transformation andMartensite.2nd ed.,Beijing:Science Press,1999:430(徐祖耀.马氏体相变与马氏体.第2版,科学出版社,1999:430) [6] Pati S R, Cohen M. Acta Metall, 1969; 17: 189 [7] Pati S R, Cohen M. Acta Metall, 1971; 19: 1327 [8] Lin M, Olson G B, Cohen M. Metall Trans, 1992; 23A:2987 [9] Cohen M. Trans AIME, 1958; 212: 171 [10] Kaufman L, Cohen M. In: Chalmers B, King R eds.,Progress in Metal Physics. Vol.7, New York: PergamonPress, 1958: 165 [11] Owen W S, Gilbert A. JISJ, 1961; 196: 142 [12] Fisher J C, Hollomon J H, Turnbull D. J Appl Phys, 1948;19: 775 [13] Turnbull D. Trans AIME, 1948; 175: 774 [14] Turnbull D, Fisher J C. J Chem Phys, 1949; 17: 71 [15] Kulin S A, Cohen M. Trans AIME, 1950; 188: 1139 [16] Machlin E S, Cohen M. Trans AIME, 1951; 191: 746 [17] Olson G B, Cohen M. Metall Trans, 1976; 7A: 1897 [18] Olson G B, Cohen M. Metall Trans, 1976; 7A: 1905 [19] Olson G B, Cohen M. Metall Trans, 1976; 7A: 1915 [20] Magee C L. In: Aaronson H I ed., Phase Transformation.Cleveland: ASM, 1970: [21] Suezawa M, Cook H E. Acta Metall, 1980; 28: 423 [22] Russell K C. Metall Trans, 1971; 2: 5 [23] Deng Y R.Rare Met Mater Eng,1991;(1) :17(邓永瑞.稀有金属材料与工程, 1991;(1) :17) [24] Deng Y R.Rare Met Mater Eng,1991;(2) :9(邓永瑞.稀有金属材料与工程, 1991;(2) :9) [25] Deng Y R.Rare Met Mater Eng,1991;(3) :16(邓永瑞.稀有金属材料与工程, 1991;(3) :16) [26] Deng Y R.Theory of Martensitic Transformation.Bei-jing:Science Press,1993:7(邓永瑞.马氏体相变理论.北京:科学出版社, 1993:7) [27] Xiao J M.Phases and Phase Transformations of Alloys.Beijing:Metallurgy Industry Press,1987:332(肖纪美.合金相与相变.北京:冶金工业出版社,1987:332) [28] Zhao X Q.Acta Metall Sin,2001;37:1153(赵新清.金属学报,2001;37:1153) [29] Zhao X Q.J Mater Eng,1999;(11) :3(赵新清.材料工程,1999;(11) :3) [30] Zhao X Q,Han Y F.J Mater Eng,2000;(3) :3(赵新清,韩雅芳.材料工程, 2000;(3) :3) [31] Zhao X Q, Liu B X. Scr Mater, 1998; 38: 1137 [32] Zhao X Q, Han Y F. Metall Mater Trans, 1999; 30A: 884 [33] Landau L D, Lifshitz E M. Statistical Physics, Part 1 (3rd ed). Butterworth-Heinemann, Division of Reed Educational and Professional Ltd., 1999: 533 [34] Feder J, Russell K C, Lothe J, Pound G M. Adv Phys,1966; 15: 111 [35] Gunton J D, Miguel M S, Sahni P S. In: Domb C, Green M S eds., Phase Transitions and Critical Phenomena, Vol.8． London: Academic Press, 1983: 267 [36] Gunton J D. J Stat Phys, 1999; 95: 903 [37] Turnbull D. J Chem Phys, 1952; 20: 411 [38] Trunbull D, Cohen M H. J Chem Phys, 1958; 29: 1049 [39] Landau L D, Lifshitz E M. Statistical Physics, Part 1 (3rd ed). Butterworth-Heinemann, Division of Reed Educational and Professional Ltd., 1999: 34 [40] Lin M, Olson G B, Cohen M. Ada Metall Mater, 1992; 41: 253 [41] Kajiwara S, Ohno S, Honma K. Philos Mag, 1991; 63A: 625 [42] Kaufman L, Cohen M. Trans AIME, 1956; 206: 1393 [43] Cech R E, Turnbull D. Trans AIME, 1956; 206: 124 [44] Cech R E. Trans AIME, 1956; 206: 585 [45] Kelly T F, Cohen M, Sande J B V. Metall Trans, 1984; 15A: 819 [46] Meng Q P.PhD Dissertation,Shanghai Jiao Tong Uni-versity,2002(孟庆平.上海交通大学博士学位论文, 2002) [47] Rong Y, Meng Q, Hsu T Y (Xu Zuyao). In: Hanada S, Zhong Z, Nam S W, Wright R N eds., The 4th Pacific Rim Int Conf on Advanced Materials and Processing (PRICM4) . The Japan Institute of Metals, 2001: 147 [48] Alexander S, Mctague J. Phys Rev Lett, 1978; 41: 702 [49] Auer S, Frenkel D. Nature, 2001; 409: 1020 [50] Hsu T Y(Xu Zuyao).Shanghai Met,2003;25(3) :1 and25(4) :1(徐祖耀.马氏体相变研究的进展.第8次全国热处理大会特邀报告,2003,见:上海金属,2003;25(3) :1和25(4) :1) [51] Patel J R, Cohen M. Acta Metall, 1953; 1: 531 [52] Meng Q P, Rong Y H, Hsu T Y (Xu Zuyao). to be published. [53] Offerman S E, Dijk N H, Sietsma J, Grigull S, LauridsenE M, Margulier L, Poulsen H F, Rekveldt M Th, ZwaagS. Science, 2002; 298: 1003 [54] Buff F P, Kirkwood J G. J Chem Phys, 1950; 18: 991 [55] Tolman R C. J Chem Phys, 1949; 17: 333 [56] Olson G B, Cohen M. Proc Int Conf Solid-Solid PhaseTransformations, New York: AIME, 1982: 1145 [57] Falk F. Acta Metall, 1980; 28: 1773 [58] Falk F. Z Phys B, Condens Matter, 1984; 54: 159 [59] Barsch G R, Krumhansl J A. Metall Trans, 1988; 19A:761 [60] Klein W, Lookman T, Saxena A, Hatch D M. Phys RevLett, 2002; 88: 085701 [61] Zhao Y, Zhang J, Hsu T Y (Xu Zuyao). J Appl Phys,2000; 88: 4022 [62] Tang M, Zhang J H, Hsu T Y (Xu Zuyao). Acta Mater,2002; 50: 467
