 | | 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: | | 13205 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8140
|
| In English (Mech. Solids): | | 5065 |
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| << Previous article | Volume 60, Issue 2 / 2025 | Next article >> |
| S.V. Kuznetsov and S.G. Saiyan, "Nonlinear Acoustic Waves in Hyperelastic Rods," Mech. Solids. 60 (2), 923-931 (2025) |
| Year |
2025 |
Volume |
60 |
Number |
2 |
Pages |
923-931 |
| DOI |
10.1134/S0025654424605846 |
| Title |
Nonlinear Acoustic Waves in Hyperelastic Rods |
| Author(s) |
S.V. Kuznetsov (Moscow State University of Civil Engineering (National Research University), Moscow, 129337 Russia, kuzn-sergey@yandex.ru)
S.G. Saiyan (Moscow State University of Civil Engineering (National Research University), Moscow, 129337 Russia, berformert@gmail.com) |
| Abstract |
Excitation of a harmonic wave in a semi-infinite incompressible hyperelastic one-dimensional rod based on the Mooney–Rivlin equation of state shows the formation and propagation of
shock wave fronts arising between faster and slower parts of the initially harmonic wave. The observed
shock wave fronts lead to the absorption of the slower moving parts by the faster ones, which leads to
the attenuation of the kinetic and elastic energy of deformations with the corresponding release of
heat. It is found that at a sufficient distance from the edge of the rod, an acoustic black hole arises due
to the attenuation of mechanical energy. Geometrically and physically nonlinear equations of motion are solved by an explicit Lax–Wendroff numerical integration scheme in combination with the finite
element method for spatial discretization. |
| Keywords |
hyperelastic material, acoustic wave, shock wave front, attenuation, energy dissipation |
| Received |
17 October 2024 | Revised |
27 October 2024 | Accepted |
28 October 2024 |
| Link to Fulltext |
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