ItemArticle

Analysis of Rayleigh-type wave energy transmission in piezoelectric substrate following GreenNaghdi type III, MooreGibsonThompson and three-phase-lag theories

Title
Analysis of Rayleigh-type wave energy transmission in piezoelectric substrate following GreenNaghdi type III, MooreGibsonThompson and three-phase-lag theories
Creator
Seema; Singhal, Abhinav
Description
This study investigates the propagation of Rayleigh-type surface waves in a homogeneous, transversely isotropic piezoelectric half-space under various boundary conditionsspecifically, stress-free, electrically open- or short-circuited, and thermally insulated or isothermal surfaces. We analyze the problem within the framework of the GreenNaghdi type III (GN-III) and three-phase-lag thermoelastic models named as model I. Also, studies carry the comparative study with Rayleigh surface wave propagation in piezoelectric media influenced by thermal effects and the presence of voids where this has analytical solutions for Rayleigh wave propagation in a nonlocal piezo-thermoelastic medium with voids, employing the MooreGibsonThompson thermoelasticity theory that incorporates memory-dependent effects named as model II. Plane harmonic wave solutions are employed to determine mechanical displacements, electric potential and temperature variations. Using these results, expressions for stress, electric displacement and temperature gradient are derived. Four secular equations corresponding to different boundary conditions are formulated for the considered half-space. The trajectories of surface particles are shown to follow elliptical paths in a vertical plane parallel to the direction of wave propagation, with the eccentricity of these ellipses explicitly calculated. When there is no phase difference between the vertical and horizontal displacement components, the particle motion degenerates into a straight-line path. A previously established analysis is recovered as a special case of the present model. The effects of various wave characteristicsincluding phase velocity, attenuation coefficient and specific lossare illustrated graphically for both the GN-III and three-phase-lag models, using cadmium selenide (a 6-mm class, hexagonally symmetric material) as the representative medium. The findings of this study highlight several distinct scenarios that enhance the understanding of Rayleigh wave propagation in complex material systems, especially those containing voids. This research offers important insights into the interplay between piezoelectric components and surface wave behavior, paving the way for advancements in sensor design, improved energy harvesting techniques and innovative seismic monitoring applications. This mathematical framework can serve as a foundation for the design and development of temperature sensors and other piezoelectric surface acoustic wave devices. The Author(s), under exclusive licence to Springer-Verlag GmbH Austria, part of Springer Nature 2025.
Source
Acta Mechanica;Volume;236;Issue;11;pp.6743-6772
Date
01-01-2025
Publisher
Springer
Coverage
Seema, Christ University, Bengaluru, 560029, India; Singhal A., Christ University, Bengaluru, 560029, India
Rights
Restricted Access; Hardcopy may be available in the library
Relation
ISSN: 15970; CODEN: AMHCA
Format
online
Language
English
Type
Article

Citation

Seema; Singhal, Abhinav, “Analysis of Rayleigh-type wave energy transmission in piezoelectric substrate following GreenNaghdi type III, MooreGibsonThompson and three-phase-lag theories,” CHRIST (Deemed To Be University) Institutional Repository, accessed June 18, 2026, https://archives.christuniversity.in/items/show/21853.

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