IJPAM: Volume 81, No. 2 (2012)

TWO-TEMPERATURE MAGNETO-THERMO-ELASTICITY
RESPONSE IN A PERFECTLY CONDUCTING
MEDIUM BASED ON GN III MODEL

P. Das$^1$, M. Kanoria$^2$
$^1$Netaji Subhash Engineering College
Technocity, Police Para
Panchpota, Garia, Kolkata, 700152, West Bengal, INDIA
$^2$Department of Applied Mathematics
University of Calcutta
92, A.P.C. Road, Kolkata, 700 009, West Bengal, INDIA


Abstract. This paper deals with magneto-thermo-elastic interaction due to thermal shock on the stress free boundary of the half-space of perfect conducting medium in the context of two-temperature generalized thermo-elasticity with energy dissipation (TEWED) (GN III model), see [1, 2, 3]. The governing equations are solved in the Laplace transformation domain using state-space approach. The inversion of the Laplace transformation is computed numerically using a method based on Fourier series expansion technique. Finally, the results obtained are presented graphically for the problem. Some comparisons have been shown in figures to estimate the effects of the two-temperature parameter, the damping coefficient and the applied magnetic field.

Received: November 10, 2010

AMS Subject Classification: 74F10, 42C20

Key Words and Phrases: two-temperature, state-space approach, magneto-thermoelasticity, Fourier series expansion technique

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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2012
Volume: 81
Issue: 2