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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(e) ISSN 0273-0979(p)

     

On von Karman's equations and the buckling of a thin elastic plate

Author(s): Melvyn S. Berger; Paul C. Fife
Journal: Bull. Amer. Math. Soc. 72 (1966), 1006-1011.
MathSciNet review: 0203219
Retrieve article in: PDF

References | Additional information

References:

1.
S. Agmon, The L, Ann. Scuola Norm. Sup. Pisa 13 (1959), 405-448. MR 125306
2.
F. Bauer and E. Reiss, Nonlinear buckling of rectangular plates, J. Soc. Indust. Appl. Math. 13 (1965), 603-627.
3.
G. Fichera, Linear elliptic differential systems and eigenvalue problems, Springer-Verlag, Berlin, 1965. MR 209639
4.
P. Fife, Nonlinear deflection of thin elastic plates under tension, Comm. Pure Appl. Math. 14 (1961), 81-112. MR 128697
5.
K. Friedrichs and J. Stoker, The nonlinear boundary value problem of the buckled plate, Amer. J. Math. 63 (1941), 839-888. MR 5866
6.
H. Keller, J. Keller and E. Reiss, Buckled states of circular plates, Quart. Appl. Math. 20 (1962), 55-65. MR 138257
7.
M. Krasnosel'skiĭ, Topological methods in the theory of nonlinear integral equations, Pergamon Press, New York, 1964. MR 159197
8.
N. Morosov, On the nonlinear theory of thin plates, Dokl. Akad. Nauk SSSR, 114 (1957), 968-971. MR 92422
9.
T. von Karman, Festigkeitsprobleme im Maschinbau, Encyl. der Mathematische Wissenschaften, Vol. IV-4 C, Leipzig, 1907-1914, 348-352.


Additional Information:

DOI: 10.1090/S0002-9904-1966-11620-8
PII: S 0002-9904(1966)11620-8




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