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IssuesArchive of Issues2023-9pp.3226-3243

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M.K. Singh, A.K. Rahul, R. Tiwari, S. Paul, and S. Saha, "Propagation of Surface Wave in a Composite Material," Mech. Solids. 58 (9), 3226-3243 (2023)
Year 2023 Volume 58 Number 9 Pages 3226-3243
DOI 10.3103/S0025654423600733
Title Propagation of Surface Wave in a Composite Material
Author(s) M.K. Singh (Division of Mathematics, School of Advanced Sciences, Vellore Institute of Technology Chennai, Tamil Nadu, India, manojkumar.singh@vit.ac.in)
A.K. Rahul (Division of Mathematics, School of Advanced Sciences, Vellore Institute of Technology Chennai, Tamil Nadu, India, amitkumar.rahul@vit.ac.in)
R. Tiwari (School ofElectronics Engineering, Vellore Institute of Technology Chennai, Chennai, Tamil Nadu, India, ravi.tiwari@vit.ac.in)
S. Paul (School ofElectronics Engineering, Vellore Institute of Technology Chennai, Chennai, Tamil Nadu, India, sourabh.paul@vit.ac.in)
S. Saha (Division of Mathematics, School of Advanced Sciences, Vellore Institute of Technology Chennai, Tamil Nadu, India, sandip.saha@vit.ac.in)
Abstract The influence of transmission of Love-type waves through a layer of functionally graded piezoelectric material (FGPM) placed within a pre-stressed piezoelectric layer and irregular viscous sandy half-space under hydrostatic stress has been discussed analytically. The irregularity has been opted as rectangular for the lower viscous sandy half-space. The Wentzel-Kramers-Brillouin method is utilized to find an asymptotic solution of a 4th order differential equation with variable coefficients and variable separation method is a critical tool in the upper layer and lower half-plane. In contrast, in the intermediate layer, theoretical derivations are discussed by the WKB technique. Dispersion relation for a Love-type wave is established for electrically open cases and sort cases. An impact of different parameters used in the problem on the phase velocity of a Love-type wave has been depicted graphically. This study is beneficial for constructing and improving surface acoustics wave (SAW) devices. Some particular cases have also been demonstrated for the validation of the problem. Graphs of phase velocity versus wave number have been presented.
Keywords love-type wave, wentzel–kramers–brillouin approximation, FGPM, initial stress
Received 05 May 2023Revised 19 October 2023Accepted 13 November 2023
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