Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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Buckling imperfection sensitivity of columns and spherical caps


Author: J. P. Keener
Journal: Quart. Appl. Math. 32 (1974), 173-188
MSC: Primary 73.35
DOI: https://doi.org/10.1090/qam/441055
MathSciNet review: 441055
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  • [2] J. C. Amazigo, B. Budiansky and G. F. Carrier, Asymptotic analyses of the buckling of imperfect columns on nonlinear elastic foundations, Int. J. Solids Structures 6, 1341-1356 (1970)
  • [3] B. Budiansky, Buckling of clamped shallow spherical shells, Proc. Sympos. Thin Elastic Shells (Delft, 1959) North-Holland, Amsterdam, 1960, pp. 64–94. MR 0120910
  • [4] B. Budiansky and J. W. Hutchinson, A survey of some buckling problems, AIAA J. 4, 1505-1510 (1966)
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  • [6] J. W. Hutchinson and W. T. Koiter, Post-buckling theory, Appl. Mech. Rev., 23, 1353-1366 (1970)
  • [7] J. W. Hutchinson, Imperfection sensitivity of externally pressurized spherical shells, J. Appl. Mech. 34, 49-55. (1967)
  • [8] James Paul Keener, SOME MODIFIED BIFURCATION PROBLEMS WITH APPLICATION TO IMPERFECTION SENSITIVITY IN BUCKLING, ProQuest LLC, Ann Arbor, MI, 1972. Thesis (Ph.D.)–California Institute of Technology. MR 2622260
  • [9] James P. Keener and Herbert B. Keller, Perturbed bifurcation theory, Arch. Rational Mech. Anal. 50 (1973), 159–175. MR 0336479, https://doi.org/10.1007/BF00703966
  • [10] -, Perturbed bifurcation theory and buckling of circular plates, in Conference on ordinary and partial differential equations, University of Dundee, Springer, 1972
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  • [13] Edward L. Reiss, Bifurcation buckling of spherical caps, Comm. Pure Appl. Math. 18 (1965), 65–82. MR 0177561, https://doi.org/10.1002/cpa.3160180109

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DOI: https://doi.org/10.1090/qam/441055
Article copyright: © Copyright 1974 American Mathematical Society


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