Table of Contents
Journal of Thermodynamics
Volume 2013, Article ID 754798, 12 pages
http://dx.doi.org/10.1155/2013/754798
Research Article

Two Temperature Magneto-Thermoelasticity with Initial Stress: State Space Formulation

Department of Mathematics, G. J. University of Science and Technology, Hisar, Haryana 125001, India

Received 12 May 2013; Accepted 20 August 2013

Academic Editor: Felix Sharipov

Copyright © 2013 Sunita Deswal and Kapil Kumar Kalkal. 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.

Abstract

Magneto-thermoelastic interactions in an initially stressed isotropic homogeneous elastic half-space with two temperatures are studied using mathematical methods under the purview of the L-S model of linear theory of generalized thermoelasticity. The formalism deals with the state space approach with the purpose of counteracting the difficulties of handling the displacement potential functions. Of specific concern here is the propagation of waves owing to ramp type increase in temperature and load. The medium is considered to be permeated by a uniform magnetic field. The expressions for different field parameters such as displacement, temperature, strain, and stress in the physical domain are obtained by applying a numerical inversion technique. Results of some earlier workers have been deduced from the present formulation. Numerical work is also performed for a suitable material with the aim of illustrating the results.