IJPAM: Volume 49, No. 1 (2008)

TRANSIENT THERMOELASTIC ANALYSIS IN
COMPOSITES WITH LAYERS OF
FUNCTIONALLY GRADED MATERIALS

Dilip B. Kamdi$^1$, Namdeo W. Khobragade$^2$, Vinod Varghese$^3$
$^{1,2}$Post Graduate Teaching Department of Mathematics
RTM Nagpur University
Nagpur, 440 033, INDIA
$^3$Reliance Industries Limited
Mauda, Nagpur, MS 440 104, INDIA
$^3$e-mail: vinod.varghese@ril.com


Abstract.This paper is concerned with the theoretical treatment of thermoelastic problem in multilayer functionally graded composites subjected to the generation of heat in the body as well as at the interfaces with imperfect thermal contact under arbitrary initial temperature distribution. The closed-form solution is obtained for transient temperature distributions by establishing Sturm-Liouville integral transform considering series expansion function in terms of eigenfunction of Sturm-Liouville boundary value problem for composite one-dimensional region consisting of multilayered composites.

Received: September 28, 2008

AMS Subject Classification: 74E05, 34A25, 74A10, 33C05, 74G50

Key Words and Phrases: FGM composites, transient response, temperature distribution, thermal stress, integral transform

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2008
Volume: 49
Issue: 1