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A Model for Boundary Diffusion Controlled Creep in Polycrystalline Materials

J. Appl. Phys. 34, 1679 (1963); doi:10.1063/1.1702656

Issue Date: June 1963

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R. L. Coble
Ceramics Division, Department of Metallurgy, Massachusetts Institute of Technology, Cambridge 39, Massachusetts
The creep rate (e) predicted by the boundary diffusion (Db) model is

[dformula [e-dot] ~= 150 sigma D[sub b]W Omega /(GS)[sup 3]kT]

, where sigma is the stress, W is the boundary width, (GS) is the average grain size, and Omega is vacancy volume. The stress dependence is the same as the lattice diffusion model, given by C. Herring, while the grain size dependence and the numerical constant are greater for boundary diffusion. Discussion of the mechanism of creep in polycrystalline alumina is based on the differences between the lattice and boundary diffusion models. ©1963 The American Institute of Physics

History: Received 15 October 1962
Permalink: http://link.aip.org/link/?JAPIAU/34/1679/1
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ISSN:
0021-8979 (print)   1089-7550 (online)
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REFERENCES (14)

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  1. F. R. N. Nabarro, Report of a Conference on the Strength of Solids (The Physical Society, London, 1948), p. 75.
  2. C. Herring, J. Appl. Phys. 21, 437 (1950).
  3. R. Folweiler, J. Appl. Phys. 32, 773 (1961).
  4. S. I. Warshaw and F. H. Norton, J. Am. Ceram. Soc. 45, 479 (1962).
  5. E. K. Beauchamp, G. S. Baker, and P. Gibbs, “Impurity Dependence of Creep of Al2O3,” University of Utah, WADD Contract No. AF 33 (616)-6832, Project No. 0(7-7350) (1961).
  6. R. Chang, J. Nucl. Mater. 2, 174 (1959).
  7. B. Chandler, E. C. Duderstadt, and J. White, submitted to J. Nucl. Mater.
  8. A. E. Paladino, Jr., and W. D. Kingery, J. Chem. Phys. 37, 957 (1962).
  9. S. B. Austerman, U.S. Atomic Energy Commission Report NAA-SR-3170 (1958).
  10. Y. Oishi and W. D. Kingery, J. Chem. Phys. 33, 480 (1960).
  11. A. E. Paladino and R. L. Coble, J. Am. Ceram. Soc. (to be published).
  12. J. F. Laurent and J. Benard, J. Phys. Chem. Solids 7, 218 (1958).
  13. Another solution, by D. W. Readey, who assumed that the vacancy concentration varied with the resolved normal stress component, gave N = 1.43.
  14. L. W. Barr, I. M. Hoodless, J. A. Morrison, and R. Rudham, Trans. Faraday Soc. 56, 449, 697 (1960).

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