Date of Award
Doctor of Philosophy (PhD)
The one-dimensional, cylindrical, quasi-static, coupled thermoelastic problem is considered. The temperature and displacement fields in an infinitely long solid cylinder, and an infinite medium with a cylindrical hole whose boundaries are subjected to a time dependent function, are presented. These results, under the appropriate assumptions and loadings, are identical to published results. Also presented is the general solution in the transform domain for the two-dimensional cartesian plane strain coupled thermoelastic problem. As an application the Lamb plane problem is treated under two loading conditions. The steady-state (large time) temperature solution obtained in this investigation and that obtained by a different method and previously published are in full agreement. The method used in both cases presented in this work is the so-called "direct approach", that is Laplace transform without resorting to the commonly used thermoelastic potential function.
Ghosn, Abdel Hassan, "Some Problems in One and Two-Dimensional Coupled Thermoelasticity." (1981). LSU Historical Dissertations and Theses. 3595.