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The Effect of Rotation on Propagation of Rayleigh Wave in an Incompressible Monoclinic Elastic Solid

Published online by Cambridge University Press:  04 May 2020

Baljinder Kaur  and
Baljeet Singh Open the ORCID record for Baljeet Singh [Opens in a new window]
Baljinder Kaur
Affiliation:
Department of Mathematics, Panjab University, Chandigarh - 160014, India
Baljeet Singh*
Affiliation:
Department of Mathematics, Post Graduate Government College, Sector-11, Chandigarh - 160 011, India
*
*Corresponding author (bsinghgc11@gmail.com)
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Abstract

In this paper, the Rayleigh wave propagation is investigated in rotating half-space of incompressible monoclinic elastic materials which are subjected to the impedance boundary conditions. In particular, the explicit secular equation of the Rayleigh wave is obtained. The main objective of this paper is to illustrate the dependence of dimensionless speed of Rayleigh wave on rotation, anisotropy and impedance parameters. An algorithm in MATLAB software is developed to solve the secular equation of Rayleigh wave. The speed of Rayleigh wave is plotted against rotation, anisotropy and impedance parameters.

Keywords

Rayleigh waveIncompressibilityMonoclinic materialSecular equation
Type
Research Article
Information
Journal of Mechanics , Volume 36 , Issue 4 , August 2020 , pp. 485 - 495
Copyright
Copyright © 2020 The Society of Theoretical and Applied Mechanics

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