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Applied Mathematics and Mechanics >

2015 , Vol. 36 >Issue 9: 1223 - 1242

DOI: https://doi.org/10.1007/s10483-015-1976-6

Articles

Generalized Bleustein-Gulyaev type waves in layered porous piezoceramic structure

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  • Department of Mathematics, Kurukshetra University, Kurukshetra 136119, India

Received date: 2014-09-08

  Revised date: 2015-01-23

  Online published: 2015-09-01

Supported by

Project supported by the Council of Scientific and Industrial Research of India (No. 09/105(0162)/2008-EMR-I)

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Abstract

The propagation of a Bleustein-Gulyaev (B-G) type wave in a structure consisting of multiple layers and a half-space of porous piezoelectric materials is theoretically studied. The solutions of the problem in terms of the mechanical displacements and electric potential functions are obtained for each layer and the half-space. The dispersion equation is obtained for electrically open and shorted boundary conditions by use of the transfer matrix method. A peculiar kind of B-G waves is investigated, which can propagate only in the layer over the half-space. The relationship between the piezoelectric constants and the dielectric constants is found for the existence of a peculiar kind of propagation modes. The numerical results in terms of the phase velocity and the electromechanical coupling factor with different thicknesses of the layer stack are presented.

Key words： Bleustein-Gulyaev (B-G) type wave; electro-mechanical coupling; porous piezoceramic; transfer matrix

Cite this article

A. K. VASHISHTH, A. DAHIYA, V. GUPTA . Generalized Bleustein-Gulyaev type waves in layered porous piezoceramic structure[J]. Applied Mathematics and Mechanics, 2015 , 36(9) : 1223 -1242 . DOI: 10.1007/s10483-015-1976-6

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