The shape of first‐stage sinters is derived within a framework in which a solid skeleton is wetted by a mobile‘‘liquid’’ pool. Several lattices are considered as possible solid skeletons, corresponding to various degrees of surface versus grain boundary and volume transport; the effect of a nonzero dihedral angle at the interface between crystal faces is also treated. In some cases, significant differences exist between shapes calculated by minimizing the free energy and the shapes assumed by previous workers.
REFERENCES
1.
J. White, Sintering and Related Phenomena, edited by G. C. Kuczynski (Gordon and Breach, New York, 1967), p. 354.
2.
R. E. Exner and E. Arzt, in Physical Metallurgy, 3rd ed., edited by R. W. Cahn and P. Haasen (Elsevier, Amsterdam, 1983), Chap. 30.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
R. M.
German
and Z. A.
Munir
, 6A
, 2229
(1975
).13.
(a)
F. A.
Nichols
and W. W.
Mullins
, J. Appl. Phys.
36
, 1826
(1965
);14.
15.
16.
17.
P. Basa, J. Bernholc, R. S. Berry, J. Jellinek, P. Salamon, and C. Schön (unpublished).
18.
J. W. M.
Frenken
and J. F.
van der Veen
, Phys. Rev. Lett.
54
, 134
(1985
);C. S.
Jayanthi
, E.
Tosatti
, and L.
Pietronero
, Phys. Rev. B
31
, 3456
(1985
);19.
J. Q.
Broughton
and G. H.
Gilmer
, Phys. Rev. Lett.
56
, 2692
(1986
).20.
P. Salamon, J. Bernholc, R. S. Berry, M. Carrera, and B. Andresen (unpublished).
21.
R. Osserman, A Survey of Minimal Surfaces (Van Nostrand, London, 1969).
22.
23.
W. Von Engelhardt, Proceedings of the Fourth World Petroleum Congress, edited by A. Barbier (Carlo Colombo, Rome, 1955), Vol. 1, p. 399.
24.
25.
A. Scheidegger, The Physics of Flow Through Porous Media (University of Toronto, Toronto, 1974).
26.
R. S. Berry, J. Bernholc, and P. Salamon (unpublished).
27.
W. H. Press, B. P. Flannery, S. A. Teukolsky, and W. T. Vetterling, Numerical Recipes (Cambridge University, Cambridge, 1986), pp. 582ff.
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© 1989 American Institute of Physics.
1989
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