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

doi:10.1007/s10483-019-2505-6

摘要/Abstract

摘要： 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.

关键词: tapered vessel, developing flow, blood flow, oscillatory flow, Love-type wave, functionally graded material (FGM), porous piezoelectric (PP) material, Wentzel-Kramers-Brillouin (WKB) approximation

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.

Key words: tapered vessel, developing flow, blood flow, oscillatory flow, porous piezoelectric (PP) material, functionally graded material (FGM), Love-type wave, Wentzel-Kramers-Brillouin (WKB) approximation

中图分类号:

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 (English Edition), 2019, 40(8): 1083-1096.

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