 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 12854 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4810 |
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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 2023 | Revised |
26 January 2024 | Accepted |
27 January 2024 |
| Link to Fulltext |
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