Author(s)

Nageswaranath Chinta¹, Ahmed Shah Syed², Ramesh Modem³, Venkata Ramanamurthy Mangipudi⁴

¹Department of Mathematics, BVRITH College of Engineering for Women, Hyderabad, India.
²Department of Mathematics, Deccan College of Engineering and Technology, Hyderabad, India.
³Department of Mathematics, University College of Technology, Osmania University, Hyderabad, India.
⁴Department of Mathematics, Osmania University, Hyderabad, India.

Propagation of Love waves in a transversely isotropic poroelastic layer bounded between two compressible viscous liquids is presented. The equations of motion in a transversely isotropic poroelastic solid are formulated in the framework of Biot’s theory. A closed-form solution for the propagation of Love waves is obtained in a transversely isotropic poroelastic layer. The complex frequency equation for phase velocity and attenuation of Love waves is derived for a transversely isotropic poroelastic layer when it is bounded between two viscous liquids and the results are compared with that of the poroelastic layer. The effect of viscous liquids on the propagation of Love waves is discussed. It is observed that the presence of viscous liquids decreases phase velocity in both transversely isotropic poroelastic layer and poroelastic layer. Results related to the case without viscous liquids have been compared with some of the earlier results and comparison shows good agreement.

Viscosity, Love Waves, Wave Number, Dissipation Coefficient, Transversely Isotropic Poroelastic Layer

Chinta, N. , Syed, A. , Modem, R. and Mangipudi, V. (2019) A Study on Propagation of Waves in a Transversely Isotropic Poroelastic Layer Bounded between Two Viscous Liquids. Open Journal of Acoustics, 9, 1-12. doi: 10.4236/oja.2019.91001.