Thermal Stresses in a Semi-infinite Body with an Instantaneous Heat Source on Its Surface

Abstract

There is the Green's function or the Neumann's one as the fundamental solution of a ther-moelastic problem for an elastic body whose surface temperature or surface heat flow is given by a function of time and position. Each function for a semi-infinite body with a surface heat source has been introduced. When the body surface is exposed to a medium whose temperature varies throughout the space and with the time, however, the fundamental solution of thermoelasticity, which is the Robin's function, has not been investigated though the solution covers even the Green's and the Neumann's Then the author introduces the Robin's function. In other words, when the surface of the body, which has initially zero temperature, is exposed to a medium with zero temperature, and an instantaneous heat source generates on its surface, the temperature field and thermal stress distributions are analysed. Thereafter the variations of temperature and thermal stresses with time are numarically shown.