PLASTIC BUCKLING OF THIN SHALLOW SPHERICAL SHELLS
Abstract
The effect of plasticity on the buckling load of a shallow spherical shell cap which is clamped about its edge and subjected to an external pressure was investigated. The shell is a sandwich idealization of a uniform shell and is made of a Prandtl-Reuss material. The problem of finding the buckling load of the cap is solved by using a variational principle written in terms of displacement rates and the current state of stress in the shell. A Rayleigh-Ritz technique is used to obtain the final solution to the problem and regions of loading and unloading are determined throughout the shell. The results of the study are in agreement with the elastic solutions which have already been determined and with studies of the plastic collapse of a spherical cap made f a rigid perfectly plastic material. The results bridge the gap which now exists between these two extreme situations. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Mar 31, 1962
- Accession Number
- AD0278101
Entities
People
- Robert S. Roth
Organizations
- Harvard University