Elastic Stability of Shells

  • Jack R. Vinson
Part of the Solid Mechanics and Its Applications book series (SMIA, volume 18)


Over and above the determination of stresses and displacements in shell structures, under some loadings the question of elastic stability of a shell arises, just as it does in plates and columns. As Bushnell said in his unique paper in 1981 [11.1], “to the layman buckling is a mysterious, perhaps even awe-inspiring phenomenon that transforms objects originally imbued with symmetric beauty into junk”. For shell buckling two textbooks form the bible of the early literature: one by Timoshenko [11.2], the other by Bleich [11.3], along with six NACA Reports by Gerard and Becker, one of which deals with shells [11.4].


Cylindrical Shell Mode Shape Internal Pressure Critical Load Axial Compression 
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    Bushnell, D., “Buckling of Shells–Pitfall for Designers”, AIAA Journal, Vol.19, No. 9, September, 1981, pp. 1183–1226.Google Scholar
  2. 11.2
    Timoshenko, S. P. and J. M. Gere, “Theory of Elastic Stability”, McGraw Hill Book Company, New York, 1961.Google Scholar
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    Bleich, H., “The Buckling Strength of Metal Structures”, McGraw-Hill Book Company, New York, NY, 1952.Google Scholar
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    Anon., “Buckling of Thin-Walled Circular Cylinders”, NASA SP-8007, August 1968.Google Scholar
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    Lo, H., Crate, H., and Schwartz, E. B., “Buckling of Thin Walled Cylinders Under Axial Compression and Internal Pressure,”: NACA TN 1027, 1951.Google Scholar
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    Batdorf, S. B., “A Simplified Method of Elastic Stability Analysis for Thin Cylindrical Shells”, NACA Report 874, 1947.Google Scholar
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    Blachut, J., G. D. Galletly, and D. N. Moreton, “Buckling of Near-Perfect Steel Torispherical and Hemispherical Shells Subjected to External Pressure”, AIAA Journal, Vol. 28, No. 11, pp. 1971–1975, November 1990.Google Scholar
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  15. 11.15.
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    Arbocz, J., “Buckling of Conical Shells Under Axial Compression”, NASACR-1162, September, 1968.Google Scholar
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    Baruch, M., O. Harari, and J. Singer, “Low Buckling Loads of Axially Compressed Conical Shells”, Journal of Applied Mechanics, pp. 384–392, June, 1970.Google Scholar
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    Kobayashi, S., “The Influence of Prebuckling Deformation on the Buckling Load of Truncated Conical Shells Under Axial Compression”, NASA CR-707, January, 1967.Google Scholar
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Copyright information

© Springer Science+Business Media Dordrecht 1993

Authors and Affiliations

  • Jack R. Vinson
    • 1
  1. 1.Department of Mechanical Engineering and the Center for Composite MaterialsUniversity of DelawareNewarkUSA

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