Mathematical Problems in Engineering
Volume 2009 (2009), Article ID 962351, 15 pages
Research Article

Bending Analysis of Functionally Graded Plates in the Context of Different Theories of Thermoelasticity

1Department of Mathematics, Faculty of Science, King AbdulAziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
2Department of Mathematics, Faculty of Science, Kafrelsheikh University, Kafr El-Sheikh 33516, Egypt
3Department of Mathematics, Faculty of Applied Science, Umm Al-Qura University, P.O. Box 715, Holy Makkah, Saudi Arabia

Received 7 April 2009; Revised 15 October 2009; Accepted 25 November 2009

Academic Editor: Mehrdad Massoudi

Copyright © 2009 A. M. Zenkour 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 quasistatic bending response is presented for a simply supported functionally graded rectangular plate subjected to a through-the-thickness temperature field under the effect of various theories of generalized thermoelasticity, namely, classical dynamical coupled theory, Lord and Shulman's theory with one relaxation time, and Green and Lindsay's theory with two relaxation times. The generalized shear deformation theory obtained by the first author is used. Material properties of the plate are assumed to be graded in the thickness direction according to a simple exponential law distribution in terms of the volume fractions of the constituents. The numerical illustrations concern quasistatic bending response of functionally graded square plates with two constituent materials are studied using the different theories of generalized thermoelasticity