Open AccessThe thermal stresses in spherical shells concentrically heated
Author(s) -
Charles H. Lees
Publication year - 1922
Publication title -
proceedings of the royal society of london. series a, containing papers of a mathematical and physical character
Language(s) - English
Resource type - Journals
eISSN - 2053-9150
pISSN - 0950-1207
DOI - 10.1098/rspa.1922.0003
Subject(s) - materials science , thermal , composite material , metallurgy , forensic engineering , thermodynamics , engineering , physics
1. In recent years there have been a number of failures of materials when unequally heated which appeared to be due to the stresses set up by the differences of temperature in the materials. These stresses, although unimportant for small differences of temperature and at low temperatures, may be serious for large differences at high temperatures, owing to their increase with the temperature differences and to the great reduction of the elasticities and ultimate strengths of materials at high temperatures. It is therefore desirable, when possible, to calculate the thermal stresses to which structures are liable to be subjected by the differences of temperature likely to exist in them, especially if these differences are large and the temperatures themselves high. The circumstances producing high thermal stresses are present to an exceptional degree in metallurgical, pottery and glass furnaces, and it is in these cases that disintegration of the materials used in the construction of the furnaces is most marked. The furnaces themselves vary so much in shape and material that it is advisable at present to discuss only some simple form and material, the investigation of which presents the minimum number of mathematical difficulties.