Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X

   
 
 

 

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, in Symp. on theory of thin elastic shells, Delft, 1959, 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] J. P. Keener, Some modified bifurcation problems with application to imperfection sensitivity in buckling, Ph.D. thesis, Caltech, Pasadena, 1972 MR 2622260
  • [9] J. P. Keener and H. B. Keller, Perturbed bifurcation theory, Arch. Rat. Mech. Anal. 50, 159-175 (1973) MR 0336479
  • [10] -, Perturbed bifurcation theory and buckling of circular plates, in Conference on ordinary and partial differential equations, University of Dundee, Springer, 1972
  • [11] -, Multiple positive solutions of convex nonlinear eigenvalue problems (to appear in J. Diff. Eqs.)
  • [12] H. B. Keller and W. F. Langford, Iterations, perturbations and multiplicities for nonlinear bifurcation problems, Arch. Rat. Mech. Anal. 43, 83-103 (1972) MR 0336478
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DOI: https://doi.org/10.1090/qam/441055
Article copyright: © Copyright 1974 American Mathematical Society

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