(3)Reflection of plane waves at the free surface of fiber-reinforced orthotropic thermoelastic rotating half-space with three-phase-lag model

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Suresh Kumar Sheokand, Kapil Kumar Kalkal, Sunita Deswal^∗

Department of Mathematics, Guru Jambheshwar University of Science and Technology, Hisar 125001, Haryana, India 

Received 21 March 2020; received in revised form 24 December 2020; accepted 26 December 2020 

Available online 30 December 2020

Abstract

The present article is concerned with the propagation of plane waves in a homogeneous, fiber-reinforced orthotropic thermoelastic rotating half-space in the context of three-phase-lag model. There exist three coupled waves, namely, quasi-longitudinal P-wave (qP), quasilongitudinal thermal wave (qT ) and quasi-transverse wave (qSV ) in the medium. The reflection coefficients are computed numerically with the help of MATLAB programming and are depicted graphically to show the effects of rotation, fiber-reinforcement and phase lag parameters. The expressions of energy ratios have also been obtained in explicit form and are shown graphically as functions of angle of incidence. It has been verified that during reflection phenomena, the sum of energy ratios is equal to unity at each angle of incidence. Effect of anisotropy is depicted on velocities of various reflected waves. Some particular cases of interest have also been inferred from the present investigation. 

© 2021 Shanghai Jiaotong University. Published by Elsevier B.V. 

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

Keywords: Fiber-reinforcement; Orthotropic; Reflection; Generalized thermoelasticity; Three-phase-lag; Rotation.