Applied Mathematics and Mechanics (English Edition) ›› 2015, Vol. 36 ›› Issue (9): 1223-1242.doi: https://doi.org/10.1007/s10483-015-1976-6

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Generalized Bleustein-Gulyaev type waves in layered porous piezoceramic structure

A. K. VASHISHTH, A. DAHIYA, V. GUPTA   

  1. Department of Mathematics, Kurukshetra University, Kurukshetra 136119, India
  • 收稿日期:2014-09-08 修回日期:2015-01-23 出版日期:2015-09-01 发布日期:2015-09-01
  • 通讯作者: A. K. VASHISHTH E-mail:akvashishth@kuk.ac.in
  • 基金资助:
    Project supported by the Council of Scientific and Industrial Research of India (No. 09/105(0162)/2008-EMR-I)

Generalized Bleustein-Gulyaev type waves in layered porous piezoceramic structure

A. K. VASHISHTH, A. DAHIYA, V. GUPTA   

  1. Department of Mathematics, Kurukshetra University, Kurukshetra 136119, India
  • Received:2014-09-08 Revised:2015-01-23 Online:2015-09-01 Published:2015-09-01
  • Contact: A. K. VASHISHTH E-mail:akvashishth@kuk.ac.in
  • Supported by:
    Project supported by the Council of Scientific and Industrial Research of India (No. 09/105(0162)/2008-EMR-I)

摘要: 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.

关键词: porous piezoceramic, Bleustein-Gulyaev (B-G) type wave, transfer matrix, electro-mechanical coupling

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

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