Jpn. J. Appl. Phys. 11 (1972) pp. 92-97  |Next Article|  |Table of Contents|
|Full Text PDF (693K)| |Buy This Article|

Growth of Gas Bubbles in Deformable Solids with Time-Dependent Heat and Mass Sources

Wen-Jei Yang

(Received June 28, 1971)

The equations governing the growth of a spherical inert-gas bubble in a deformable solid resulting from the generation of gas atoms from time-dependent gas sources in the solid matrix are formulated for the general case which includes the effects of surface tension, heat diffusion and time-varying heat sources in the matrix. The dimensionless parameters controlling bubble dynamics are identified. Asymptotic solutions valid for large times are obtained to predict the radius-time relation, the creep rate, and the rates of heat and gas diffusion. Bubble growth in the absence of temperature gradient is also examined.

URL: http://jjap.jsap.jp/link?JJAP/11/92/
DOI: 10.1143/JJAP.11.92

References

1. A. J. Markworth: J. Appl. Phys. 40 (1969) 1987[AIP Scitation].
2. E. M. Baroody: J. Appl. Phys. 38 (1967) 4893[AIP Scitation].
3. V. V. Slezov and V. B. Shikin: Euro Nuclear 2 (1965) 127.
4. L. P. Semenov: Soviet Atomic Energy 15 (1963) 1155.
5. V. M. Agranovich, E. Ya Mikhlin and L. P. Semenov: Soviet Atomic Energy 15 (1963) 1140.
6. V. M. Agranovich and E. Ya. Mikhlin: Soviet J. Atomic Energy 12 (1962) 410.
7. G. W. Greenwood and A. Boltax: J. Nucl. Mater. 5 (1962) 234.
8. S. F. Pugh: J. Nucl. Mater. 4 (1961) 177.
9. H. Ford: Advanced Mechanics of Materials (John Wiley & Sons, New York, 1963), p. 663.
10. L. E. Scriven: Chem. Eng. Sci. 10 (1959) 1.
11. M. S. Plesset and S. A. Ziwick: J. Appl. Phys. 25 (1954) 493[AIP Scitation].