Propagation of plane waves of magneto-thermoelastic medium with voids influenced by the gravity and laser pulse under G-N theory

Abstract

Purpose

The purpose of this paper is to investigate the influence of the gravity and the magnetic fields on the plane waves in a homogenous, linear and isotropic thermoelastic medium subjected to the laser pulse heating.

Design/methodology/approach

The problem has been solved analytically and numerically by using the normal mode analysis.

Findings

Numerical results for the temperature, the displacement components, the stress components and the volume fraction were presented graphically and analyzed the results. The graphical results indicate that the effect of gravity and magnetic fields are observable physical effects on the porous thermoelastic material heated by a laser pulse. Comparisons are made with the results in the absence and presence of the gravity and the magnetic fields, also at various times.

Originality/value

In the present work, the authors shall formulate a 2-D problem for the propagation of plane waves on the porous thermoelastic material influenced by the gravity and the magnetic fields subjected to a laser pulse heating act as a thermal shock. A comparison is also made between the two types II and III of Green-Naghdi theory in the absence and the presence of the gravity and the magnetic fields. Such problems are very important in many dynamical systems.

Citation

Othman, M.I.A. and Hilal, M.I.M. (2016), "Propagation of plane waves of magneto-thermoelastic medium with voids influenced by the gravity and laser pulse under G-N theory", Multidiscipline Modeling in Materials and Structures, Vol. 12 No. 2, pp. 326-344. https://doi.org/10.1108/MMMS-08-2015-0047