Wave Propagation in a Homogeneous Poroelastic Layer Bounded Between Transversely Isotropic Poroelastic Half-space and an in-homogeneous Elastic Half-space

C Nageswaranath; V Sravana Kumar; K Elangovan

doi:10.17485/IJST/v16i20.2322

Article

Wave Propagation in a Homogeneous Poroelastic Layer Bounded Between Transversely Isotropic Poroelastic Half-space and an in-homogeneous Elastic Half-space

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Indian Journal of Science and Technology

DOI: 10.17485/IJST/v16i20.2322

Year: 2023, Volume: 16, Issue: 20, Pages: 1527-1537

Original Article

Wave Propagation in a Homogeneous Poroelastic Layer Bounded Between Transversely Isotropic Poroelastic Half-space and an in-homogeneous Elastic Half-space

C Nageswaranath^1*, V Sravana Kumar², K Elangovan³

¹Department of Mathematics, BVRIT HYDERABAD College of Engineering for Women, 500090, Telangana, Hyderabad
²Department of Mathematics, Sree Rama Engineering College, Tirupathi, 517507, AndhraPradesh, India
³Mathematics Section, FEAT, Annamalai University, Chidambaram, 608002, Tamilnadu, India

*Corresponding Author
Email: [email protected]

Received Date:25 December 2022, Accepted Date:08 April 2023, Published Date:26 May 2023

This work is licensed under a Creative Commons Attribution 4.0 International License.

Abstract

Objectives: The present work investigates the propagation of love waves in an isotropic poroelastic layer that is bounded by an inhomogeneous orthotropic half-space and a transversely isotropic elastic half-space. The transversely isotropic poroelastic layer and elastic half-space are taken as initially stressed. Methods: Using Biot’s theory, the equations of motion for poroelastic layers are derived. The dispersion equation for phase velocity has been derived analytically. Findings: The effect of initial stresses of both elastic half-space and layer is observed. Also, the dispersion equation is derived for poroelastic layer and elastic layer as particular cases. Numerical work has been carried out and results are presented graphically. Novelty: The propagation of Love waves at the boundary between two elastic substances has received a lot of attention. Present study deals with three solid structures, a layer bounded between two half-spaces.

Keywords: Poroelastic; Transversely isotropic; Phase velocity; Wave number; Initially stressed

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Copyright

© 2023 Nageswaranath et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. Published By Indian Society for Education and Environment (iSee)