Buckling of a Complete Spherical Shell under Uniform External Pressure.
Abstract
Non-linear axisymmetric bucking of a complete spherical elastic shell under uniform external pressure is treated numerically. Particular attention is given to the lower critical load, which is the theoretical least failure load. Among the new results are the evaluation of this load for thinner shells than those treated in the existing literature; in particular, the values 6.73% and 4.9% of the classical linear buckling loads are obtained for the radius-to-thickness ratios 100 and 200, respectively. The shapes of the buckled shells are computed for the first time in an unexpected hint that there is an asymptotic (ratios-to-thickness ration-independent) buckled shape. Numerical solution is by means of spectral (Galerkin) expansions of up to 60 modes in associated Legendre functions of order one applied to the quadratically non-linear version of E. Reissner's equations. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 1976
- Accession Number
- ADA033314
Entities
People
- Harry E. Rauch
- Jonathan L. Marz
- Neal H. Jacobs
Organizations
- City University of New York