Circular Cylinders Subjected to a Radial Temperature Gradient and Stressed in the Elastic Range

Abstract

Circular cylinders, whether they feature very small axial dimensions and can thus be regarded as rings, or have axial dimensions that are of the same order of magnitude as their cross-sectional dimension or are much larger, are frequently subjected to complex thermal loading of varying intensity, and often with a high gradient, as a result of heat flow (Giovannozzi 1965, Zudans, Yen and Steigelmann 1965, Baker et al. 1968, Sim 1973, Tabakman and Lin 1978, Iurzolla 1981, Burr 1982, Boley and Weiner 1997, Cook and Young 1999, Vullo and Vivio 2013). In designing these structures, the problem thus arises of determining the stress and strain state once the temperature distributions occurring in them have been evaluated using considerations based on the laws of heat transfer (Carslaw and Jaeger 1959).