 | | 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
|
| In English (Mech. Solids): | | 4760 |
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| V.I. Korzyuk, J.V. Rudzko, and V.V. Kolyachko, "Problem of Longitudinal Vibrations of a Maxwell-Type Viscoelastic Rod," Mech. Solids. 58 (7), 2631-2639 (2023) |
| Year |
2023 |
Volume |
58 |
Number |
7 |
Pages |
2631-2639 |
| DOI |
10.3103/S0025654423070129 |
| Title |
Problem of Longitudinal Vibrations of a Maxwell-Type Viscoelastic Rod |
| Author(s) |
V.I. Korzyuk (Institute of Mathematics of the National Academy of Sciences of Belarus, Minsk, Belarus; Belarusian State University, Minsk, Belarus, korzyuk@bsu.by)
J.V. Rudzko (Institute of Mathematics of the National Academy of Sciences of Belarus, Minsk, Belarus, janycz@yahoo.com)
V.V. Kolyachko (Belarusian State University, Minsk, Belarus, vlad.kolyachko@yandex.ru) |
| Abstract |
Well-posedness in the sense of Hadamard is examined for the Cauchy problem of a one-dimensional hyperbolic system of partial differential equations describing the longitudinal vibrations of a Maxwell-type viscoelastic rod with constant cross section. Some properties of the system and its solutions, including the conservation of modified "energy," the finite propagation speed, and the dispersion and dissipation of solutions, are discussed. |
| Keywords |
longitudinal vibrations, Maxwell material, Cauchy problem, well-posed problem |
| Received |
14 November 2022 | Revised |
20 April 2023 | Accepted |
25 April 2023 |
| Link to Fulltext |
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