PLASTIC AXISYMMETRIC BUCKLING OF RING-STIFFENED CYLINDRICAL SHELLS FABRICATED FROM STRAIN-HARDENING MATERIALS AND SUBJECTED TO EXTERNAL HYDROSTATIC PRESSURE
Abstract
A cylindrical shell stiffened by uniformly spaced transverse rings and subjected to external hydrostatic pressure is analyzed for plastic buckling in the axisymmetric mode. In this analysis strain-hardening of the material is accounted for and Poisson's ratio is treated asA VARIABLE WHICH VARIES FROM ITS VALUE IN THE ELASTIC STATE TO AN UPPER LIMIT OF 1/2 FOR INCOMPRESSIBLE MATERIAL. The differential equation for the plastic range is derived for axisymmetric buckling. Expressions for the plastic axisymmetric buckling pressures are obtained. A criterion of length of shell for long and short cylinders is presented, below which the shell can buckle in only one half wave. As a special case of the problem considered, a solution for the plastic buckling of a long cylinder under end compression is obtained. This solution degenerates to that previously obtained by Gerard for a Poisson's ratio of 1/2 but represents a more rigorous solution in terms of variable Poisson's ratios. Limited experimental evidence is presented in support of the theory. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 1961
- Accession Number
- AD0251088
Entities
People
- Myron E. Lunchick