STRESS CONCENTRATION IN NON-LINEAR CREEP OF A SIMPLE SHELL.
Abstract
A long thin circular cylindrical shell is loaded at one edge by symmetrical radial shear Q sub x and bending moment M sub x (no interior pressure). The shell is made of material which under applied stress creeps with a strain rate which is proportional to the rth power of the stress. Previous results are used to derive, approximately, the greatest stress in the shell for any Q sub x, M sub x and r. It is shown that for any edge load the greatest stress decreases as r increases, and is approximately a linear function of 1/r. The case r = 1 is exactly analogous to a linear elastic problem, and the case r approaches infinity corresponds exactly to a perfectly plastic problem: results for any exponent r may thus be found approximately by simple interpolation between results obtained in linear-elastic analysis and perfectly plastic analysis. (See also AD-429 287). (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Dec 01, 1963
- Accession Number
- AD0600082
Entities
People
- C. R. Calladine
Organizations
- Brown University