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Online ISSN 1552-4485; Print ISSN 0033-569X
Inflation of the toroidal membrane
Author:
R. W. Dickey
Journal:
Quart. Appl. Math. 31 (1973), 11-26
MSC:
Primary 73.35
DOI:
https://doi.org/10.1090/qam/416173
MathSciNet review:
416173
Full-text PDF Free Access
References | Similar Articles | Additional Information
- E. Bromberg and J. J. Stoker, Non-linear theory of curved elastic sheets, Quart. Appl. Math. 3 (1945), 246–265. MR 13355, DOI https://doi.org/10.1090/S0033-569X-1945-13355-7
- Peter F. Jordan, Stresses and deformations of the thin-walled pressurized torus, J. Aero/Space Sci. 29 (1962), 213–225. MR 136144 J. L. Sanders, Jr. and A. Liepins, The toroidal membrane under internal pressure., AIAA Launch and Space Vehicle Shell Structures Conf., 1963.
- Herbert B. Keller and Edward L. Reiss, Iterative solutions for the non-linear bending of circular plates, Comm. Pure Appl. Math. 11 (1958), 273–292. MR 98504, DOI https://doi.org/10.1002/cpa.3160110302
- R. W. Dickey, The plane circular elastic surface under normal pressure, Arch. Rational Mech. Anal. 26 (1967), no. 3, 219–236. MR 1553496, DOI https://doi.org/10.1007/BF00281971
- R. Courant and D. Hilbert, Methods of mathematical physics. Vol. I, Interscience Publishers, Inc., New York, N.Y., 1953. MR 0065391
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Article copyright:
© Copyright 1973
American Mathematical Society