THERMOELASTIC PROBLEM OF A THIN CIRCULAR PLATE SUBJECT TO A DISTRIBUTED HEAT SUPPLY

Abstract

We consider a thin circular plate and discuss the thermoelastic problem. To develop the analysis for the temperature field, we introduce the method of integral transforms. The results, obtained in a series form in terms of Bessel functions, are illustrated numerically.

Keywords:

• heat conduction problem
• thermal deflection
• thermal stresses
• thermoelastic problem
• transient problem

The authors express their sincere thanks to Dr. P. C. Wankhede, Retired Professor and Head, Department of Mathematics, P.G.T.D., Nagpur University, Nagpur, while preparing this paper and are also thankful to U.G.C. for financial support under the major research project scheme. We are also thankful to the reviewer for valuable suggestions.