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Online ISSN 1552-4485; Print ISSN 0033-569X
Asymptotic solutions of toroidal shell problems
Author:
R. A. Clark
Journal:
Quart. Appl. Math. 16 (1958), 47-60
DOI:
https://doi.org/10.1090/qam/99973
MathSciNet review:
QAM99973
Full-text PDF Free Access
References | Additional Information
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L. Beskin, Bending of curved thin tubes, J. Appl. Mechanics, 12, A1-A7 1945)
- R. A. Clark, On the theory of thin elastic toroidal shells, J. Math. Physics 29 (1950), 146–178. MR 0039491 R. A. Clark and W. E. Gibson, Asymptotic solution of a non-homogeneous differential equation, in preparation.
- R. A. Clark and E. Reissner, Bending of curved tubes, Advances in Applied Mechanics, vol. 2, Academic Press, Inc., New York, N. Y., 1951, pp. 93–122. edited by Richard von Mises and Theodore von Kármán,. MR 0047495
- F. B. Hildebrand, On asymptotic integration in shell theory, Proc. Symposia Appl. Math. v. 3, McGraw-Hill Book Co., New York, N. Y., 1950, pp. 53–66. MR 0039490 R. E. Langer, On the asymptotic solution of ordinary differential equations, Trans. Am. Math. Soc.(a) 33, 22-64 (1931); (b) 37, 397-416 (1935), (c) 67, 461-490 (1949)
- P. M. Naghdi and C. Nevin De Silva, On the deformation of elastic shells of revolution, Quart. Appl. Math. 12 (1955), 369–374. MR 67693, DOI https://doi.org/10.1090/S0033-569X-1955-67693-4
- Eric Reissner, On bending of curved thin-walled tubes, Proc. Nat. Acad. Sci. U.S.A. 35 (1949), 204–208. MR 30438, DOI https://doi.org/10.1073/pnas.35.4.204
- Eric Reissner, On the theory of thin elastic shells, Reissner Anniversary Volume, Contributions to Applied Mechanics, J. W. Edwards, Ann Arbor, Michigan, 1948, pp. 231–247. MR 0030885
Additional Information
Article copyright:
© Copyright 1958
American Mathematical Society