 | | 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: | | 12804 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4760 |
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| V.I. Erofeev, M.I. Korsakov, and A.V. Leontieva, "Linear and Nonlinear Plane Longitudinal Waves in the Slepyan-Palmov Medium," Mech. Solids. 57 (6), 1385-1395 (2022) |
| Year |
2022 |
Volume |
57 |
Number |
6 |
Pages |
1385-1395 |
| DOI |
10.3103/S0025654422060218 |
| Title |
Linear and Nonlinear Plane Longitudinal Waves in the Slepyan-Palmov Medium |
| Author(s) |
V.I. Erofeev (Mechanical Engineering Research Institute of the Russian Academy of Sciences - Branch of Federal Research Center, "Institute of Applied Physics of the RAS," Nizhnii Novgorod, 603024 Russia, erof.vi@yandex.ru)
M.I. Korsakov (Mechanical Engineering Research Institute of the Russian Academy of Sciences - Branch of Federal Research Center, "Institute of Applied Physics of the RAS," Nizhnii Novgorod, 603024 Russia, martyknight52@gmail.com)
A.V. Leontieva (Mechanical Engineering Research Institute of the Russian Academy of Sciences - Branch of Federal Research Center, "Institute of Applied Physics of the RAS," Nizhnii Novgorod, 603024 Russia, aleonav@mail.ru) |
| Abstract |
Plane longitudinal waves propagating in a Slepyan-Palmov medium that consist of a carrier medium and an ensemble of nonlinear oscillators are considered. The system of equations of dynamics is reduced to one equation for the longitudinal displacement of the carrier medium. The propagation of harmonic waves is analyzed depending on the change in the system parameters characterizing the relative density and dissipation in the medium. It is shown that only periodic waves can exist among nonlinear stationary waves. The influence of the parameters of nonlinearity and the relative density of the material on the limits of the maximum possible deformation, shape and wavelength has been studied. |
| Keywords |
Slepyan-Palmov model, longitudinal wave, harmonic wave, dispersion, dissipation, nonlinear periodic wave |
| Received |
07 February 2022 | Revised |
17 February 2022 | Accepted |
21 July 2022 |
| Link to Fulltext |
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