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Transference of Love-type waves in a bedded structure containing a functionally graded material and a porous piezoelectric medium

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  • Department of Applied Mathematics, Indian Institute of Technology(ISM), Dhanbad 826004, Jharkhand, India

Received date: 2018-10-30

  Revised date: 2019-02-21

  Online published: 2019-08-01

Abstract

The frequency of the Love-type surface waves in a bedded structure consisting of a porous piezoelectric (PP) medium and a functionally graded material (FGM) substrate is approximated. The FGM layer is assumed to have a constant initial stress. The Wentzel-Kramers-Brillouin (WKB) approximation technique is used for the wave solution in the FGM layer, and the method of separation of variables is applied for the solution in the porous piezoelectric medium. The dependence of the wave frequency on the wave number is obtained for both electrically open and short cases. The effects of the gradient coefficient of the FGM layer, the initial stresses (tensile stress and compressive stress), and the width of the FGM layer are marked distinctly and shown graphically. The findings may contribute towards the design and optimization of acoustic wave devices.

Cite this article

S. MONDAL, S. A. SAHU, K. K. PANKAJ . Transference of Love-type waves in a bedded structure containing a functionally graded material and a porous piezoelectric medium[J]. Applied Mathematics and Mechanics, 2019 , 40(8) : 1083 -1096 . DOI: 10.1007/s10483-019-2505-6

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