IJPAM: Volume 34, No. 2 (2007)

THERMOELASTIC INTERACTION WITH ENERGY
DISSIPATION IN AN INFINITE SOLID WITH
DISTRIBUTED PERIODICALLYVARYING HEAT SOURCES

Sukla Banik$^1$, Sadek Hossain Mallik$^2$, M. Kanoria$^3$
$^{1,2,3}$Department of Applied Mathematics
University of Kolkata
92 A.P.C. Road, Kolkata, 700009, W.B. INDIA
$^2$e-mail: [email protected]
$^3$e-mail: [email protected]


Abstract.This paper deals with the problem of thermoelastic interactions in a homogeneous isotropic unbounded medium due to the presence of periodically varying heat sources in the context of the linear theory of generalized thermoelasticity with energy dissipation (TEWED). The governing equations are expressed in Laplace-Fourier transform domain. The inversion of Fourier transform is carried out analytically while that of Laplace transform is done numerically using a method based on Fourier series expansion technique. The numerical estimates of the displacement, temperature, stress and strain are obtained and presented graphically. A comparison has been made with the results obtained earlier for thermoelasticity without energy dissipation (TEWOED).

Received: October 30, 2006

AMS Subject Classification: 74F10, 42C20

Key Words and Phrases: Green-Naghdi model type III, periodically varying heat sources

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2007
Volume: 34
Issue: 2