Reflection of electro-magneto-thermoelastic plane waves in a rotating medium in context of three theories with two-temperature

S.M. Abo-Dahab , Mohamed I.A. Othman , Ohoud N.S. Alsebaey

Abstract

In this paper, we established the generalized thermoelasticity phenomenon in an isotropic elastic medium considering the electromagnetic field, rotation and two-temperature. Three theories of generalized thermoelasticity have been applied: Lord-Shulman (one relaxation time), Green-Lindsay (two relaxation times), as well as the coupled theory. We discussed some particular cases in the context of the wave propagation phenomenon in thermoelasticity. From solving the fundamental equations, we arrived that there are three waves: P-, T- and SV-waves that we calculated their velocities. The boundary conditions for mechanical stress and Maxwell's stress and thermal insulated or isothermal have been applied to determine the amplitudes ratios (reflection coefficients) for P-, T - and SV waves. Some utilitarian aspects are obtained from the reflection coefficients, presented graphically, and the new conclusions have been presented. Comparisons are made for the results predicted by different theories (CT, LS, GL) in the absence and presence of the electro-magnetic field, rotation, as well as twotemperature on the reflection of generalized thermoelastic waves. The results obtained concluded that the external parameters as the angle of incidence, electromagnetic field, rotation as well as the theories parameters have strong effect on the phenomenon.

Key Words

electromagnetic field; reflection; rotation; P-wave; T-wave; SV-wave; two-temperature, relaxation times

Address

S.M. Abo-Dahab — Department of Mathematic, Qena Faculty of Science, South Valley University, Qena 83523, Egypt; Department of Computer Science, Faculty of Computers and Information, Luxor University, Egypt
Mohamed I.A. Othman — Department of Mathematic, Faculty of Science, Zagazig University, P.O. Box 44519, Zagazig, Egypt
Ohoud N.S. Alsebaey — Department of Mathematic, Faculty of Science, Taif University 888, Taif, Saudi Arabia

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