Abstract
A recent publication reported a power law relationship for maximum precipitate density in the copper rich Cu–Co alloy system, expressed as a function of the maximum nucleation rate and the solute diffusion coefficient. In the present paper, it is shown that a similar relationship holds in the aluminium rich Al–Sc alloy system, and two general, closed form solutions are derived from first principles.
Get full access to this article
View all access options for this article.
References
1.
Robson
J. D.
and
Stowell
M. J.
Philos. Mag. A , 2004 , 84A , 3101 .
2.
Kampmann
R.
and
Wagner
R.
in ‘Decomposition of alloys: the early stages’, (ed. P. Haasen et al), 9; 1984, Oxford, Pergamon Press.
3.
Wagner
R.
and
Kampmann
R.
in ‘Materials science and technology’, (ed.
Cahn
R. W.
and
Haasen
P.
5 , Chap. 4, 215-303; 1991, Weinheim, Wiley.
4.
Jo
H.-H.
and
Fujikawa
S.-I.
Mater. Sci. Eng. A , 1993 , A171 , 151.
5.
Hyland
R. W.
: Metall Trans. A , 1992 , 23A , 1947 .
6.
Fujikawa
S. I.
: Diffus. Defect Data: Defect Diffus. Forum, 1997, 143-147, 115.
7.
Stowell
M. J.
: Mater. Sci. Technol ., 2002 , 18 , 139 .
8.
Damask
A. C.
,
Danielson
G. C.
and
Dienes
G. J.
Acta Metall ., 1965 , 13 , 973 .
9.
Kirkwood
D. H.
: Acta Metall ., 1970 , 18 , 563 .
10.
Frankl
D. R.
and
Venables
J. D.
Adv. Phys ., 1970 , 19 , 409 .
11.
Stowell
M. J.
: Philos. Mag ., 1972 , 26 , 361 .
12.
Venables
J. D.
: Philos. Mag ., 1973 , 27 , 697 .
13.
Walton
D.
: J. Chem. Phys ., 1962 , 37 , 2182 .
14.
Aaron
H. B.
,
Fainstein
D.
and
Kotler
G. R.
J. App/. Phys ., 1970 , 41 , 4404 .
15.
Stowell
M. J.
: Philos. Mag ., 1970 , 21 , 125 .
16.
Frank
F. C.
: Proc. R. Soc. (London) A , 1950 , A201 , 586.
17.
Setna
R. P.
: DPhil thesis, University of Oxford, UK, 1994.
18.
Robson
J. D.
: Acta Mater ., 2004 , 52 , 4669 .
19.
Russell
K. C.
: Adv. Colloid Interface Sci ., 1980 , 13 , 205 .
20.
Avrami
M.
: J. Chem. Phys ., 1939 , 7 , 1103 .
21.
Avrami
M.
: J. Chem. Phys ., 1940 , 8 , 212 .
22.
Avrami
M.
: J. Chem. Phys ., 1941 , 9 , 177 .