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Generalized Bleustein-Gulyaev type waves in layered porous piezoceramic structure

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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.

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Authors and Affiliations

  1. Department of Mathematics, Kurukshetra University, Kurukshetra, 136119, India

    A. K. Vashishth, A. Dahiya & V. Gupta

Authors
  1. A. K. Vashishth
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  2. A. Dahiya
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  3. V. Gupta
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Correspondence to A. K. Vashishth.

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

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Vashishth, A.K., Dahiya, A. & Gupta, V. Generalized Bleustein-Gulyaev type waves in layered porous piezoceramic structure. Appl. Math. Mech.-Engl. Ed. 36, 1223–1242 (2015). https://doi.org/10.1007/s10483-015-1976-6

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

Keywords

Chinese Library Classification

2010 Mathematics Subject Classification

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