Proceedings of the Edinburgh Mathematical Society (Series 2)

Table of Contents - December 1960 - Volume 12, Issue 02  

Research Article

The Propagation of Thermal Stresses in a Semi-infinite Medium

F. J. Locketta1

a1 Department of Mathematics, University of Glasgow

When an elastic solid is subjected to a dynamical system of surface or body forces, not all of the work done by these forces is employed in deforming the material. The remainder is converted into heat energy producing a distribution of temperature throughout the body. Similarly the application of a surface temperature distribution, or the introduction of heat sources within the body, produces elastic as well as thermal effects. Thus we see that in the dynamical case there is a link between these two types of condition—thermal and elastic.

(Received January 12 1960)