Dispersion of polarized shear waves in viscous liquid over a porous piezoelectric substrate

2018 ◽  
Vol 29 (9) ◽  
pp. 2040-2048 ◽  
Author(s):  
Juhi Baroi ◽  
Sanjeev A Sahu ◽  
Manoj Kumar Singh

This article aims to study the propagation of polarized shear horizontal waves in viscous liquid layer resting over a porous piezoelectric half-space. An analytical solution is proposed using the separation of variables method. The dispersion relation is obtained using the proper boundary conditions for both electrically open and short cases in determinant form. The numerical example and graphical representation are provided in support of the findings. Dynamic response of affecting parameters (e.g. layer’s width, mass density, piezoelectric constant, dielectric constant, viscous coefficient, and dielectric coupling between the two phases of the porous aggregate) has been presented through graphs. It is observed that the phase velocity of considered wave remarkably affected by these parameters. Moreover, obtained result is matched with the existing result. Findings may contribute significantly toward optimization of surface acoustic wave devices and other liquid sensors. Moreover, this study may be utilized to frame a theoretical model for the problems of shear horizontal wave propagation in composite structures, involving piezoelectric medium.

2004 ◽  
Vol 72 (3) ◽  
pp. 341-350 ◽  
Author(s):  
Q. Wang ◽  
S. T. Quek ◽  
V. K. Varadan

An analytical solution for the shear horizontal wave propagation excited by interdigital transducer in a piezoelectric coupled semi-infinite medium is developed. This solution is an extension of earlier work on wave propagation in a piezoelectric coupled plate with finitely long interdigital transducer by fully taking account of piezoelectric effects in analysis. In the current analysis, the mathematical model for a semi-infinite metal substrate bonded by a layer of interdigital transducer with infinite length is first derived. The theoretical solutions are obtained in terms of elliptic integration of the first kind and of the standard integral representation for Legendre polynomial. The essential hypothesis for the derivation of the analysis is investigated. Based on the solution for infinitely long interdigital transducer, an analytical solution for the wave propagation in this semi-infinite piezoelectric medium excited by a finitely long interdigital transducer is obtained through Fourier transform. This theoretical research can be applied to health monitoring of structures by interdigital transducer. It could also be used as a framework for the design of interdigital transducer in wave excitation of smart structures.


2002 ◽  
Vol 69 (6) ◽  
pp. 819-824 ◽  
Author(s):  
Q. Wang

Shear horizontal (SH) wave propagation in a semi-infinite solid medium surface bonded by a layer of piezoelectric material abutting the vacuum is investigated in this paper. The dispersive characteristics and the mode shapes of the deflection, the electric potential, and the electric displacements in the thickness direction of the piezoelectric layer are obtained theoretically. Numerical simulations show that the asymptotic phase velocities for different modes are the Bleustein surface wave velocity or the shear horizontal wave velocity of the pure piezoelectric medium. Besides, the mode shapes of the deflection, electric potential, and electric displacement show different distributions for different modes and different wave number. These results can be served as a benchmark for further analyses and are significant in the modeling of wave propagation in the piezoelectric coupled structures.


2019 ◽  
Vol 19 (12) ◽  
pp. 4393-4404 ◽  
Author(s):  
Hongyu Sun ◽  
Shen Wang ◽  
Songling Huang ◽  
Qing Wang ◽  
Wei Zhao

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