Bounds on Thermal Stressed in Spheres.
Abstract
It is often easy to secure estimates for the highest and lowest temperatures to be expected in a structure, but it is much more difficult to obtain detailed information on the temperature distribution itself, short of a complete solution of the problem. It has been found possible, and quite useful, in many cases, to determine the maximum possible thermal stress which may develop, solely on the basis of the known bounds on the temperature. Upper and lower bounds on the thermal stresses and deformations have been constructed in this way for beams and plates and for composite structures. Applications of these bounds have been developed in the estimate of errors in approximate calculations and in the analysis of thermal reduction of beam torsional rigidity, as well as, of course, in many practical design estimates. The present paper develops similar bounds for the thermal stresses which may arise in solid or hollow spheres. The temperature distributions considered are axisymmetric, and are otherwise either arbitrary or radially monotonic. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- May 01, 1981
- Accession Number
- ADA103156
Entities
People
- B. A. Boley
- S. R. Boley
Organizations
- Northwestern University