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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References | Similar Articles | Additional Information

**[1]**J. C. Amazigo,*Buckling of stochastically imperfect columns on nonlinear elastic foundations*, Quart. Appl. Math.**29**, 403-409 (1971)**[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)**[5]**R. Courant and D. Hilbert,*Methods of mathematical physics*, Vol. 1, Interscience, New York, 1966 MR**0195654****[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****[13]**E. L. Reiss,*Bifurcation buckling of spherical caps*, Comm. Pure. Appl. Mech.**18**, 65-82 (1965) MR**0177561**

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DOI:
https://doi.org/10.1090/qam/441055

Article copyright:
© Copyright 1974
American Mathematical Society