Table of Contents
ISRN Mechanical Engineering
Volume 2014, Article ID 694259, 6 pages
http://dx.doi.org/10.1155/2014/694259
Research Article

Exact Solution of Thermoelastic Problem for a One-Dimensional Bar without Energy Dissipation

1Department of Mathematics, Faculty of Science, University of Alexandria, Egypt
2Department of Mathematical and Theoretical Physics, Atomic Energy Authority, Egypt

Received 3 November 2013; Accepted 26 November 2013; Published 4 February 2014

Academic Editors: J. K. Chen and X. H. Liu

Copyright © 2014 A. M. Abd El-Latief and S. E. Khader. 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.

Abstract

We consider a homogeneous isotropic thermoelastic half-space in the context of the theory of thermoelasticity without energy dissipation. There are no body forces or heat source acting on the half-space. The surface of the half-space is affected by a time dependent thermal shock and is traction free. The Laplace transform with respect to time is used. The inverse transforms are obtained in an exact manner for the temperature, thermal stress, and displacement distributions. These solutions are represented graphically and discussed for several cases of the applied heating. Comparison is made between the predictions here and those of the theory of thermoelasticity with one relaxation time.