 | | 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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| A.A. Markin and M.Yu. Sokolova, "Dynamic Equations for the Propagation of Acoustic Waves in Pre-Deformed Materials," Mech. Solids. 59 (2), 679-688 (2024) |
| Year |
2024 |
Volume |
59 |
Number |
2 |
Pages |
679-688 |
| DOI |
10.1134/S0025654423601350 |
| Title |
Dynamic Equations for the Propagation of Acoustic Waves in Pre-Deformed Materials |
| Author(s) |
A.A. Markin (Tula State University, Tula, 300012 Russia, markin-nikram@yandex.ru)
M.Yu. Sokolova (Tula State University, Tula, 300012 Russia, socolova-m-u@yandex.ru) |
| Abstract |
Two approaches to obtaining dynamic equations for the propagation of small displacement
disturbances, based on the use of models of hyperelastic and hypoelastic materials, are considered.
It is shown that these equations are interrelated. For the case of a plane monochromatic wave, expressions for the acoustic tensors are obtained. A comparative analysis of the influence of preliminary
deformations on the speed of propagation of acoustic waves in isotropic and anisotropic materials was
carried out. Effects have been identified that can only be described within the framework of a
hypoelastic medium model. |
| Keywords |
acoustic waves, finite deformations, phase velocities of wave propagation, elasticity constants of the second and third orders |
| Received |
03 April 2023 | Revised |
27 May 2023 | Accepted |
01 August 2023 |
| Link to Fulltext |
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