Abstract
Mechanisms for the non-equilibrium segregation of solutes to static grain boundary during cooling (quenching-induced segregation) and to moving grain boundary during recrystallization (moving-induced segregation) are proposed. For quenching-induced segregation, in consideration of the local equilibrium among vacancies, solute atoms and vacancy-solute atom complexes, as well as the influence of equilibrium grain-boundary segregation, the theoretical dynamic formulae for this non-equilibrium segregation have been derived on the basis of the vacancy-dragging mechanism. Theoretical calculations have been carried out for the non-equilibrium segregation of boron to austenitic grain boundaries during isothermal holding and continuous cooling after heating at high temperature; the results agree well with those obtained from experiments. The model has also successfully explained the different behaviours of boron segregation during cooling in α-Fe and in γ-Fe. For moving-induced segregation, based on the interaction between dislocations and the moving boundaries during recrystallization, a dislocation relaxation and widening grain-boundary mechanism of solute segregation on moving boundaries is proposed. Applying this model, we have calculated the boron segregation on moving boundaries during recrystallization in Fe-3% Si alloy; the results of these calculations agree with experimental results.
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X. L. He, Y. Y. Chu and J. J. Jonas, Acta Metall. 37 (1989) 147.
J. H. Westbrook and K. T. Aust, ibid. 11 (1963) 1151.
K. T. Aust, R. E. Hasseman, P. Niessen and J. H. Westbrook, ibid. 16 (1968) 291.
X. L. He, M. Djahaji, J J. Jonas and J. Jackman, Acta Metall. Mater. 39 (1991) 2295.
T. Takeyama, H. Takahashi and S. Ohnuki, in “Grain Boundary Structure and Related Phenomena”, Proceedings of Fourth Japan Institute of Metals International Symposium (Japan Institute of Metals,1986), p. 401.
M. B. Kasen, Acta Metall. 31 (1983) 489.
X. L. He, Y. Y. Chu and J. J. Jonas, ibid. 37 (1989) 2905.
S. H. Zhang, X. L. He, Y. Y. Chu and T. Ko, Acta Metall. Sinica 28A (1992) 187.
L. Karlsson, Acta Metall. 30 (1988) 25.
A. F. Smith and G. B. Gibbs, J. Met. Sci. 2 (1968) 47.
J. A. Hudson and R. S. Nelson, “Vacancies '76” (Metal Society, London 1977) p. 126.
P. E. Busby, M. E. Warga and C. Wells, Trans. AIME 197 (1953) 1463.
T. M. Williams, A. M. Stoneham and D. R. Harries, J. Met. Sci. 10 (1976) 14.
M. J. Doyama, J. Nucl. Mater. 69, 70 (1978) 350.
A. F. Rowcliffe and R. B. Nicholson, Acta Metall. 20 (1972) 143.
M. A. V. Champman and R. G. Faulkner, ibid. 31 (1983) 677.
J. W. Miller, Phys. Rev. 188 (1969) 1074.
W. F. Jandeska Jr. and J. E. Morral, Met. Trans. 3 (1972) 2933.
R. W. Ballufi, “Grain Boundary Structure and Kinetics” (American Society of Metals, Metals Park, Ohio, 1980) p. 297.
L. Karlsson, H. Norden and H. Odelius, Acta Metall. 36 (1988) 1.
S. H. Zhang, Ph. D Thesis, University of Science and Technology, Beijing, 1922.
S. H. Zhang, X. L. He, Y. Y. Chu and T. Ko, J. Mater. Sci. 29 (1994).
S. H. Zhang, X. L. He and T. Ko, J. Mater. Sci. 29 (1994).
J. W. Cahn, Acta Metall. 10 (1962) 789.
D. McLean, “Grain Boundaries in Metals” (Oxford University Press, Oxford, 1957) p. 116.
K. Kurzydolski, J. W. Wyrzykowski and G. Garbacz, Phys. Met. Metall. 65 (1988) 163.
S. H. Zhang, X. L. He and T. Ko, (Submitted to Acta Metall. Sinica).
R. Bullough and V. K. Tewary, in “Dislocations in Solids, Vol. 2: Dislocations in Crystals”, edited by F. R. N. Nabarro (North-Holland, 1979) p. 58.
M. W. Grabski and R. Korski, Phil. Mag. 22(1970) 707.
M. W. Grabski and J. W. Wyrzykowski, Mater. Sci. Engng 44 (1980) 229.
P. H. Pumphery and H. Gleiter, Phil. Mag. 32 (1975) 881.
R. A. Varin, Phys. Status Solidi 52 (1979) 337.
E. A. Brandes (ed) “Smithells Metals Reference Book”, 6th edn, (Butterworth, 1983) p. 13.
T. Abe, K. Tsakada, H. Tagawa and I. Kozassa, Tetsu-to-Hagane (Iron and Steel) 74 (1988) 2201 (in Japanese).
M. Hillert and G. R. Purdy, Acta Metall. 26 (1978) 333.
K. Smidoda, W. Gottschalk and H. Gleiter, ibid. 26 (1978) 1833.
D. A. Smith, Ultramicroscopy 29 (1989) 1.
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Zhang, S., He, X. & Ko, T. Non-equilibrium segregation of solutes to grain boundary. JOURNAL OF MATERIALS SCIENCE 29, 2663–2670 (1994). https://doi.org/10.1007/BF00356815
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DOI: https://doi.org/10.1007/BF00356815