Some Considerations on Thermal Shock Problems in a Plate

Abstract

Manson has given a well-known conventional approach to thermal shock problems in a plate. In his investigation, however, the inertia term and the thermomechanical coupling term were neglected in the governing field equations. As a result, the treatment became quasi-static, and then it was inadequate to model thermal shock problems having a steep time-gradient in the thermal and mechanical fields. In the present paper, we examine a rigorous treatment to find the exact solution for thermal shock problems in a plate when the following two effects are taken into account: (a) Dynamic treatment due to the presence of an inertia term. (b) A coupled thermal stress problem in the presence of a thermoelastic coupling term. Thus we can determine the significance of these effects on the thermal stress distribution when a sudden change of temperature occurs.