DISTRIBUTION OF SOLUTE NEAR THE ALPHA PLATES FORMED IN TITANIUM BINARY ALLOYS
Abstract
The partitioning of solute from α plates formed in Ti-5.1at.%Fe, Ti-5.4at.%V and Ti-2.6at.%Fe alloys has been investigated theoretically. These plates grow isothermally from solid solution in titanium binary alloys. The idea was to clarify whether they grow without diffusion or whether the partitioning of solute occurs after transformation. To check whether the latter mechanism is plausible, calculations have been conducted of the diffusion profile of solute and of the time required for the plate to achieve its equilibrium composition. The model based on a finite difference (FD) technique was used for the calculations. The results have been compared with the published experimental data and with that obtained using analytical technique.References
http://en.wikipedia.org/wiki/Titanium
Guilherme A. A. Castilho, Maximiliano, D. Martins and Waldemar A. A. Macedo, J. Phys. 36, No. 3b (2006) 1004.
P. E. J. Flewitt and J. M. Towner, J. Inst. Met., 95 (1967) 273.
I. Cornelis and C. M. Wayman, Scr. Metall., 7 (1973) 579.
G. W. Lorimer, G. Cliff, H. I. Aaronson and K. R. Kinsman, Scr. Metall., 9 (1975) 271.
T. Ko and S. A. Cottrell, Iron Steel Inst., 172 (1952) 307.
T. Ko, Iron Steel Inst., 175 (1953) 16.
R.D. Garwood, J. Inst. Met., 83 (1954) 64.
G.R. Speich and M. Cohen, Trans. TMS-AIME, 218 (1960) 1050.
R.H. Goodnow, S.J. Matas and R.F. Hehemann, Trans. TMS-AIME, 227 (1963) 651.
G.R. Srinivasan and C.M. Wayman, Acta Metall., 16 (1968) 621.
H.K.D.H. Bhadeshia and D.V. Edmonds, Metall. Trans. A, 10A (1979) 895.
B.P.J. Sandvik, Metall. Trans. A, 13A (1982) 777.
J.W. Christian and D.V. Edmonds, in Phase Transformation in Ferrous Alloys, Proc. Int. Conf., A.R. Marder and J.I. Goldstein ,eds., (TMS-AIME, Warrendale, PA, 1984)p. 293.
S. A. Mujahid and H. K. D. H. Bhadeshia, Modelling Simul. Mater. Sci. Engg., 7 (1999) 1.
M. J. Aziz, J. Appl. Phys. 53 (1982) 1158.
M. J. Aziz, Appl. Phys. Lett. 43 (1983) 552.
R. P. Elliot, in "US Rep. AD. 290336" (1962).
Smithells in "Material Reference Book" eds. E. A. Brandes and G. B. Brook, 4th ed., (Butterworths, Heinemann, 1998).
M. M. Kostic, E. B. Howbolt E.B. and L. C. Brown, Metall. Trans. A, 10 (1976) 165.
H. K. D. H. Bhadeshia, in Proc. Int. Conf. on Phase Transformations, ed. G. W. Lorimer, Institute of Metals, London, (1987) p. 309.
L. G. Korneluk, L. M. Mirsky and B. S. Bokshtein, in "Titanium Science and Technology", Vol. II, 1973.
M. Enomoto and M. Fujita, Metall. Trans. A, 21 (1990) 1547.
W. Jest, in "Diffusion", (Academic Press, New York) (1960) p. 20.
J. Crank, in "The Mathematics of Diffusion" 2nd ed., Oxford, Clarendon, (1975).
S. A. Mujahid and H. K. D. H. Bhadeshia, Acta Metall., 40 (1992) 389.
