Dynamic Buckling of Inelastic Spherical Shells

[+] Author and Article Information
G. E. Funk

Space Systems Group, Rockwell International, Los Angeles, Calif. 90241

L. H. N. Lee

Department of Aerospace and Mechanical Engineering, University of Notre Dame, Notre Dame, Ind. 46556

J. Pressure Vessel Technol 104(2), 79-87 (May 01, 1982) (9 pages) doi:10.1115/1.3264192 History: Received April 01, 1980; Revised January 05, 1982; Online November 05, 2009


The dynamic buckling behavior of a complete spherical shell made of a bilinear or work-hardening material and under a uniform external impulsive loading is investigated. A quasi-bifurcation theory and a minimum principle are employed to determine, respectively, the onset of the dynamic buckling process and the post-bifurcation nonlinear behavior. Numerical results are obtained for a number of elastic and elastic-plastic cases. The results indicate there is a softening effect in the plastic deviated stress-strain relationship which makes the spherical shell less stable. Furthermore, the higher order terms in stress and strain measures and the coupling of symmetric and asymmetric modes of motion cannot be neglected in the post-bifurcation analysis.

Copyright © 1982 by ASME
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