International Journal of Mathematics and Mathematical Sciences
Volume 20 (1997), Issue 2, Pages 323-334

Thermoelastic waves in an infinite solid caused by a line heat source

Ranjit S. Dhaliwal, Samir R. Majumdar, and Jun Wang

Department of Mathematics and Statistics, University of Calgary, Alberta, Calary T2N 1N4, Canada

Received 19 October 1994; Revised 15 March 1995

Copyright © 1997 Ranjit S. Dhaliwal et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The generalized thermoelasticity theory recently developed by Green and Naghdi is employed to investigate thermoelastic interactions caused by a continuous line heat source in a homogeneous isotropic unbounded solid. Hankel-Laplace transform technique is used to solve the problem. Explicit expressions, for stress and temperature fields, are obtained for small time approximation. Numerical values are displayed graphically. Our results show that this theory predicts an infinite speed for heat propagation in general, and includes the second sound phenomena as a special case.