The effect of magnetic field on generalized thermoelastic medium with two temperature under three phase lag model

Abstract

Purpose

The purpose of this paper is to introduce the Lord-Shulman (L-S), Green-Naghdi of type III (G-N III) and three phase lag (3PHL) theories to study the effect of a magnetic field on generalized thermoelastic medium with two temperature.

Design/methodology/approach

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

Findings

The problem is used to obtain the analytical expressions of the displacement components, force stress, thermodynamic temperature and conductive temperature. The numerical results are given and presented graphically thermal force is applied. Comparisons are made with the results predicted by 3PHL, G-N III and L-S in the presence and absence of magnetic field as well as two temperature.

Originality/value

Generalized thermoelastic medium.

Citation

Othman, M.I., Hasona, W.M. and Mansour, N.T. (2015), "The effect of magnetic field on generalized thermoelastic medium with two temperature under three phase lag model", Multidiscipline Modeling in Materials and Structures, Vol. 11 No. 4, pp. 544-557. https://doi.org/10.1108/MMMS-03-2015-0011