Some Considerations on Thermal Shock Problems in a Plate

[+] Author and Article Information
Y. Takeuti, T. Furukawa

Department of Mechanical Engineering, University of Osaka Prefecture, Mozu, Sakai, 591, Japan

J. Appl. Mech 48(1), 113-118 (Mar 01, 1981) (6 pages) doi:10.1115/1.3157552 History: Received October 01, 1979; Revised July 01, 1980; Online July 21, 2009


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.

Copyright © 1981 by ASME
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