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A Journal of Russian Academy of Sciences
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IssuesArchive of Issues2024-1pp.331-344

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Binwu Yu, Ji Wang, and Zhanyu Bu, "The Cylindrical Rayleigh Waves in Horizontal Layered Solids," Mech. Solids. 59 (1), 331-344 (2024)
Year 2024 Volume 59 Number 1 Pages 331-344
DOI 10.1134/S0025654423602367
Title The Cylindrical Rayleigh Waves in Horizontal Layered Solids
Author(s) Binwu Yu (School of Civil and Environmental Engineering and Geography Science, Ningbo University, Ningbo, Zhejiang, 315211 China)
Ji Wang (Piezoelectric Device Laboratory, School of Mechanical Engineering and Mechanics, Ningbo University, Ningbo, Zhejiang, 315211 China)
Zhanyu Bu (School of Civil and Environmental Engineering and Geography Science, Ningbo University, Ningbo, Zhejiang, 315211 China, buzhanyu@nbu.edu.cn)
Abstract The model of horizontal layered structure in elastic solids has a wide range of applications in our real-world scientific research. To explore the propagation characteristics of cylindrical Rayleigh waves in a horizontally layered structure, we decompose the displacement using the Helmholtz decomposition method in the cylindrical coordinate system in order to use potential functions to describe the displacement and stress of the medium. Following this, the paper employs the transfer matrix method to derive the dynamic equations of axisymmetric Rayleigh waves in a horizontally layered elastic solid. After that, the equations are solved to obtain the Rayleigh wave dispersion curves and displacement expressions with Bessel function under these conditions. Lastly, through the calculations of four representative numerical examples, this paper verifies the consistency of the algorithm in calculating cylindrical Rayleigh wave dispersion curves and its agreement with experimental measurements, while demonstrating the characteristics of cylindrical Rayleigh wave displacement.
Keywords Rayleigh wave, propagation, frequency, layered structure, dispersion curves, Bessel function
Received 14 November 2023Revised 26 January 2024Accepted 27 January 2024
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