 | | 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: | | 13362 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8178
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| In English (Mech. Solids): | | 5184 |
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| S.V. Kuznetsov and V.A. Mitroshin, "Shock Waves in a One-Dimensional Semi-Infinite Hyperelastic Rod," Mech. Solids. 60 (5), 3442-3452 (2025) |
| Year |
2025 |
Volume |
60 |
Number |
5 |
Pages |
3442-3452 |
| DOI |
10.1134/S0025654425601314 |
| Title |
Shock Waves in a One-Dimensional Semi-Infinite Hyperelastic Rod |
| Author(s) |
S.V. Kuznetsov (Ishlinsky Institute for Problems in Mechanics RAS, Moscow, 119626 Russia; Moscow State University of Civil Engineering (MGSU) National Research University, Moscow, 129337 Russia, kuzn-sergey@yandex.ru)
V.A. Mitroshin (Moscow State University of Civil Engineering (MGSU) National Research University, Moscow, 129337 Russia, mitroshin.vasiliy@yandex.ru) |
| Abstract |
The excitation of a harmonic wave in a semi–infinite incompressible hyperelastic one-dimensional rod (material according to the Mooney-Rivlin model) leads to the formation and propagation of shock wave fronts arising between half-waves of the initial harmonic wave moving at different
speeds. Shock wave fronts lead to the absorption of slow-moving parts by faster ones and, consequently, reduce both kinetic energy and elastic deformation energy with the corresponding release of
heat. The explicit Lax–Wendroff difference scheme in combination with the finite element method is
used to solve geometrically and physically nonlinear equations of motion. |
| Keywords |
hyperelastic material, acoustic wave, shock wave front, energy dissipation |
| Received |
20 March 2025 | Revised |
09 April 2025 | Accepted |
10 April 2025 |
| Link to Fulltext |
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