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The effect of temperature-dependent properties on generalized magneto-thermo-elastic medium with two-temperature under three-phase-lag model

Mohamed I.A. Othman (Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, Egypt)
Yassmin D. Elmaklizi (Department of Mathematics, Faculty of Science, Suez Canal University, Suez, Egypt)
Nehal T. Mansoure (Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, Egypt)

Multidiscipline Modeling in Materials and Structures

ISSN: 1573-6105

Article publication date: 12 June 2017

Abstract

Purpose

The purpose of this paper is to investigate the propagation of plane waves in an isotropic elastic medium under the effect of rotation, magnetic field and temperature-dependent properties with two‐temperatures.

Design/methodology/approach

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

Findings

The numerical results are given and presented graphically when mechanical and thermal force are applied. Comparisons are made with the results predicted by the three-phase-lag (3PHL) model and dual-phase-lag model in the presence and absence of cases where the modulus of elasticity is independent of temperature.

Originality/value

In this work, the authors study the influence of rotation and magnetic field with two‐temperature on thermoelastic isotropic medium when the modulus of elasticity is taken as a linear function of reference temperature in the context of the 3PHL model. The numerical results for the field quantities are obtained and represented graphically.

Keywords

Citation

Othman, M.I.A., Elmaklizi, Y.D. and Mansoure, N.T. (2017), "The effect of temperature-dependent properties on generalized magneto-thermo-elastic medium with two-temperature under three-phase-lag model", Multidiscipline Modeling in Materials and Structures, Vol. 13 No. 1, pp. 122-134. https://doi.org/10.1108/MMMS-09-2016-0045

Publisher

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Emerald Publishing Limited

Copyright © 2017, Emerald Publishing Limited