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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Additional Information
J. C. Amazigo, Buckling of stochastically imperfect columns on nonlinear elastic foundations, Quart. Appl. Math. 29, 403–409 (1971)
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)
- B. Budiansky, Buckling of clamped shallow spherical shells, Proc. Sympos. Thin Elastic Shells (Delft, 1959) North-Holland, Amsterdam, 1960, pp. 64–94. MR 0120910
B. Budiansky and J. W. Hutchinson, A survey of some buckling problems, AIAA J. 4, 1505–1510 (1966)
- R. Courant and D. Hilbert, Shu-hsüeh wu-li fang fa. Chüan I, Science Press, Peking, 1965 (Chinese). Translated from the English by Ch’ien Min and Kuo Tun-jen. MR 0195654
J. W. Hutchinson and W. T. Koiter, Post-buckling theory, Appl. Mech. Rev., 23, 1353–1366 (1970)
J. W. Hutchinson, Imperfection sensitivity of externally pressurized spherical shells, J. Appl. Mech. 34, 49–55. (1967)
- 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
- James P. Keener and Herbert B. Keller, Perturbed bifurcation theory, Arch. Rational Mech. Anal. 50 (1973), 159–175. MR 336479, DOI https://doi.org/10.1007/BF00703966
---, Perturbed bifurcation theory and buckling of circular plates, in Conference on ordinary and partial differential equations, University of Dundee, Springer, 1972
---, Multiple positive solutions of convex nonlinear eigenvalue problems (to appear in J. Diff. Eqs.)
- H. B. Keller and W. F. Langford, Iterations, perturbations and multiplicities for nonlinear bifurcation problems, Arch. Rational Mech. Anal. 48 (1972), 83–108. MR 336478, DOI https://doi.org/10.1007/BF00250427
- Edward L. Reiss, Bifurcation buckling of spherical caps, Comm. Pure Appl. Math. 18 (1965), 65–82. MR 177561, DOI https://doi.org/10.1002/cpa.3160180109
J. C. Amazigo, Buckling of stochastically imperfect columns on nonlinear elastic foundations, Quart. Appl. Math. 29, 403–409 (1971)
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)
B. Budiansky, Buckling of clamped shallow spherical shells, in Symp. on theory of thin elastic shells, Delft, 1959, pp. 64–94
B. Budiansky and J. W. Hutchinson, A survey of some buckling problems, AIAA J. 4, 1505–1510 (1966)
R. Courant and D. Hilbert, Methods of mathematical physics, Vol. 1, Interscience, New York, 1966
J. W. Hutchinson and W. T. Koiter, Post-buckling theory, Appl. Mech. Rev., 23, 1353–1366 (1970)
J. W. Hutchinson, Imperfection sensitivity of externally pressurized spherical shells, J. Appl. Mech. 34, 49–55. (1967)
J. P. Keener, Some modified bifurcation problems with application to imperfection sensitivity in buckling, Ph.D. thesis, Caltech, Pasadena, 1972
J. P. Keener and H. B. Keller, Perturbed bifurcation theory, Arch. Rat. Mech. Anal. 50, 159–175 (1973)
---, Perturbed bifurcation theory and buckling of circular plates, in Conference on ordinary and partial differential equations, University of Dundee, Springer, 1972
---, Multiple positive solutions of convex nonlinear eigenvalue problems (to appear in J. Diff. Eqs.)
H. B. Keller and W. F. Langford, Iterations, perturbations and multiplicities for nonlinear bifurcation problems, Arch. Rat. Mech. Anal. 43, 83–103 (1972)
E. L. Reiss, Bifurcation buckling of spherical caps, Comm. Pure. Appl. Mech. 18, 65–82 (1965)
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© Copyright 1974
American Mathematical Society
