Journal of Ocean Engineering and Science

Volume 3, Issue 4

(9)Effect of rotation on the surface wave propagation in magneto-thermoelastic materials with voids

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A.M. Farhan ^a,b, A.M. Abd-Alla ^c,∗

^a Physics Department, Faculty of Science, Jazan University, Saudi Arabia

b Physics Department, Faculty of Science, Zagzig University, Egypt

^cMathematics Department, Faculty of Science, Sohag University, Egypt

Received 18 September 2018; received in revised form 18 October 2018; accepted 20 October 2018

Available online 7 November 2018

Abstract

The present investigation is focused on studying the surface wave propagation in a generalized magneto-thermoelastic materials taking (Green Lindsay) model with voids. The general surface wave speed is derived to study the effects of magnetic ﬁeld and rotation on surface wave in the presence of voids. In addition the present study can be comprehensively applied to the magneto-thermoelastic medium with voids. The possible non-dimensional frequency of surface wave propagation has been obtained as the solution of an algebraic equation involving a determinant whose elements contain the material parameters, the direction of applied magnetic ﬁeld and rotation of surface wave propagation. The comparisons for the physical quantities are established numerically and represented graphically in different cases with respect to the used effects.

This is an open access article under the CC BY-NC-ND license. (http://creativecommons.org/licenses/by-nc-nd/4.0/)

Keywords: Green Lindsay theory; Thermoelasticity; Surface waves.