Effect of rotation on Rayleigh waves in magneto-thermoelastic transversely isotropic medium with thermal relaxation times

Abstract

The present article deals with the propagation of Rayleigh surface waves in homogeneous transversely isotropic medium. Effect of rotation on Rayleigh waves in thermoelastic half-space is studied under the purview of the three-phase-lag model in presence of magnetic field. The normal mode analysis is used to obtain the expressions for the displacement components, stresses, and temperature distribution. The frequency equations in the closed form are derived and the path of particles during Rayleigh wave propagation is found elliptical. In order to illustrate the analytical developments, the numerical solution is carried out and the computer-simulated results in respect of Rayleigh wave velocity, attenuation coefficient, and specific loss are presented graphically.

Keywords:

• Rayleigh waves
• transversely isotropic medium
• three-phase-lag model
• rotation
• magnetic field

Acknowledgment

Authors are grateful to the reviewers for their valuable comments for the improvement of the quality of the article.