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Thermodynamics and Densification Kinetics in Solid-state Sintering of Ceramics

Published online by Cambridge University Press:  31 January 2011

J. L. Shi
Affiliation:
State Key Laboratory of High Performance Ceramics and Superfine Microstructure, Shanghai Institute of Ceramics, Chinese Academy of Sciences, 1295 Ding-Xi Road, Shanghai, 200050, People's Republic of China
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Abstract

Based on the stability analysis of the closed pores in two dimensions which was determined mathematically with their particle coordination number and dihedral angle, the stability of those in three dimensions was determined with a spherical pore model. The model is set up by first excluding the effect of interface tension, so the pore was supposed to be spherical, and then the tensile stress arisen from the interface tension was supposed to act on this hypothesized spherical pore. On the basis of the spherical pore model, microstructure models based on pores, not grains, for the real powder compacts were first established. Densification kinetics were then determined from the models by the densification rate equations, which were derived by relating density to pore size to grain size ratio, for the intermediate and final stages of sintering. The criteria for pore shrinkage were discussed quantitatively. The derived equations can be used to simulate the relation between densification rate and density during heating with a constant rate and for the explanation of the effects of pore size distribution, agglomerates, and green density on sintering.

Type
Articles
Copyright
Copyright © Materials Research Society 1999

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References

REFERENCES

1.Herring, C., J. Appl. Phys. 21, 301 (1950).CrossRefGoogle Scholar
2.Sintering and Related Phenomena, edited by Kuczynski, G. C., Hooten, N.A., and Gilbson, G.N. (Gordon & Breach, New York, 1967).Google Scholar
3.Sintering and Related Phenomena, edited by Kuczynski, G. C. (Plenum Press, New York, 1973), Vol. 6.CrossRefGoogle Scholar
4.Mass Transport Phenomena in Ceramics, edited by Cooper, A.R. and Heuer, A. H. (Plenum Press, New York, 1975), Vol. 9.CrossRefGoogle Scholar
5.Sintering and Catalysis, edited by Kuczynski, G. C. (Plenum Press, New York and London, 1978), Vol. 10.Google Scholar
6.Sintering Process, edited by Kuczynski, G.C. (Plenum Press, New York and London, 1980), Vol. 13.CrossRefGoogle Scholar
7.Surfaces and Interfaces in Ceramic and Ceramic Metal Systems, edited by Pask, J. and Evans, A. (Plenum Press, New York and London, 1981), Vol. 14.CrossRefGoogle Scholar
8.Sintering—Theory and Practice, edited by Kolar, D., Pejovnik, S., and Ristic, M. M. (Elsevier, Amsterdam, 1982), Vol. 14.Google Scholar
9.Physics of Sintering, edited by Ristic, M.M. and Kidric, B. (Institute of Nuclear Science, Beograd, Yugoslavia, 1973), Vol. 5.Google Scholar
10.Sintering 87, edited by Sōmiya, S. and Shimada (Elsevier Applied Science, London, 1988).Google Scholar
11.Sintering, Key Papers, edited by Sōmiya, S. and Moriyoshi, Y. (Elsevier Applied Science, London, 1987).Google Scholar
12. (a)Coble, R. L., J. Appl. Phys. 32 (5), 787792 (1961).Google Scholar
(b)Coble, R. L., J. Appl. Phys. 32 (5), 793799 (1961).CrossRefGoogle Scholar
13.Kuczynski, G.C., AIME 85, 169178 (1949).Google Scholar
14.Kuczynski, G. C., pp. 501508, in Ref. 11.Google Scholar
15.Kingery, W. D. and Berg, M., J. Applied Phys. 26 (10), 12051212 (1955).CrossRefGoogle Scholar
16.Pask, J. A., pp. 567678 in Ref. 11.Google Scholar
17. (a)Exner, H. E., Powder Metall. 4, 203209 (1980).CrossRefGoogle Scholar
(b)Exner, H. E. and Arzt, E., in Physical Metallurgy, 3rd ed., edited by Cahn, R. W. and Haasan, P. (Elsevier Science Publishers BV, 1983), pp. 18851912 (Chap. 10); or pp. 157–184 in Ref. 11.Google Scholar
18.Coblenz, W.S., Dynys, J. M., Cannon, R. M., and Coble, R.L., pp. 141157 in Ref. 6.Google Scholar
19.Johnson, D. L., J. Am. Ceram. Soc. 53 (10), 574577 (1970).CrossRefGoogle Scholar
20.Shi, J. L. and Lin, Z.X., Ceram. Int. 15, 107112 (1989).CrossRefGoogle Scholar
21. (a)Vieira, J. M. and Brook, R. J., J. Am. Ceram. Soc. 67 (2), 245249 (1984).CrossRefGoogle Scholar
(b)Vieira, J.M. and Brook, R. J., J. Am. Ceram. Soc., 67 (7), 450454 (1984).CrossRefGoogle Scholar
22.Exner, H. E. and Petzow, G., in Sintering Processes, edited by Kuczynski, G. C. (Plenum Press, New York, 1980), pp. 107120.CrossRefGoogle Scholar
23.Pejovnik, S., Smolej, V., Susnik, D., and Kolar, D., Powder Metall. Int. 11, 2224 (1979).Google Scholar
24.Tikkanen, M. H. and Makipirtti, S. A., Int. J. Powd. Met. 1 (1), 1522 (1965).Google Scholar
25.Harmer, M. P., Chan, H. M., and Smyth, D. M., in Defect Properties and Processing of High-Technology Nonmetallic Materials, edited by Chen, Y., Kingery, W.D., and Stokes, R. J. (Materials Research Society, Pittsburgh, PA, 1986), pp. 125134.Google Scholar
26.Harmer, M.P., in Advances in Ceramics, (The American Ceramic Society, Westerville, OH, 1985), Vol. 10, pp. 679696.Google Scholar
27.Level, F.V., pp. 543566 in Ref. 11.Google Scholar
28.Kuczynski, G.C., pp. 3744 in Ref. 8.Google Scholar
29.Fang, T.T. and Palmer, H. III, Ceram. Int. 15, 329335 (1989).CrossRefGoogle Scholar
30.Kingery, W.D. and Francois, B., in Sintering and Related Phenomena, edited by Kuczynski, G.C., Hooten, N.A., and Gilbson, G.N. (Gordon & Breach, New York, 1967), pp. 471498.Google Scholar
31.Lange, F.F., J. Am. Ceram. Soc. 67, 83 (1984).CrossRefGoogle Scholar
32.Shi, J. L., Gao, J. H., Lin, Z. X., and Yen, T. S., J. Am. Ceram. Soc. 74 (5), 994997 (1991).CrossRefGoogle Scholar
33.Herring, C., in The Physics of Powder Metallurgy, edited by Kingston, T. E. (McGraw-Hill, New York, 1951), Chap. 8, p. 143.Google Scholar
34.Eadie, R.L. and Weatherly, G. C., in Sintering and Catalysis, edited by Kuczynski, G. C. (Plenum Press, New York, 1978), pp. 239248.Google Scholar
35. (a)Johnson, D. L., in Sintering Processes, edited by Kuczynski, G.C. (Plenum Press, New York, 1980), Vol. 13, pp. 97106.CrossRefGoogle Scholar
(b)Johnson, D. L., in Processing of Crystalline Ceramics, edited by Palmour, H. III, Davis, R. F., and Hare, T. M. (Plenum Press, New York, 1978), Vol. 11, pp. 137149.Google Scholar
36.Zheng, J. and Reed, J. S., J. Am. Ceram. Soc. 72 (5), 810817 (1989).CrossRefGoogle Scholar
37.Zhao, J. and Harmer, M. P., J. Am. Ceram. Soc. 71 (7), 530539 (1988).CrossRefGoogle Scholar
38.Lange, F.F., in Ceramic Transactions, edited by Messing, G. L., Fuller, E.R., and Hausner, H. (The American Ceramic Society, Westerville, OH, 1987), Vol. 1, pp. 10691083.Google Scholar
39.Shi, J. L., Lin, Z. X., and Yen, T. S., J. Mater. Sci. 28 (2), 342348 (1993).CrossRefGoogle Scholar
40.Francois, B. and Kingery, W.D., pp. 499525 in Ref. 17.Google Scholar
41.Whittemore, O.J. and Varela, J. A., in Sintering—Key Papers, edited by Sōmiya, S. and Moriyoshi, Y. (Elsevier Applied Science, London, 1987), pp. 777793.Google Scholar
42.Varela, J. A., Whittemore, O. J., and Longo, E., Ceram. Int. 16, 177189 (1990).CrossRefGoogle Scholar
43.Shi, J. L., J. Mater. Res. 14, 13891397.CrossRefGoogle Scholar