IJPAM: Volume 42, No. 3 (2008)


Rajneesh Kumar$^1$, Rupender$^2$
$^{1,2}$Department of Mathematics
Kurukshetra University
Kurukshetra, 136119, INDIA
$^1$e-mail: rajneesh_kuk@rediffmail.com
$^2$e-mail: rupee_kuk@rediffmail.com

Abstract.The present investigation deals with the reflection and deformation in thermo-microstretch elastic solid in the presence of a transverse magnetic field, at the boundary surface. The generalized theories of thermoelasticity developed by Lord and Shulman [#!1!#] and Green and Lindsay [#!2!#] have been used to investigate the problem. Thermal and magnetic effects on the amplitude ratios of various reflected waves with the angle of incidence have been depicted graphically. Fourier transform technique is used to study the deformation due to time harmonic distributed thermomechanical sources. Uniformly and linearly distributed sources have been taken to illustrate the utility of the apporach. The integral transform has been inverted by using a numerical technique to obtain the components of normal force stress, tangential couple stress, microstress, temperature distribution and induced magnetic field. The resulting quantities have been depicted graphically for different sources to depict the thermal and magnetic effects.

Received: August 17, 2007

AMS Subject Classification: 74A14, 74B14, 74G11, 74J12

Key Words and Phrases: magneto-thermo-microstretch elastic solid, amplitude ratios, time harmonic sources, Fourier transform

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2008
Volume: 42
Issue: 3