 | | 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: | | 12854 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4810 |
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| S.V. Kuznetsov, "Cauchy Formalism in the Theory of Acoustic Surface Waves," Mech. Solids. 55 (4), 482-489 (2020) |
| Year |
2020 |
Volume |
55 |
Number |
4 |
Pages |
482-489 |
| DOI |
10.3103/S0025654420040068 |
| Title |
Cauchy Formalism in the Theory of Acoustic Surface Waves |
| Author(s) |
S.V. Kuznetsov (Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, Moscow, 119526 Russia; Bauman Moscow State Technical University, Moscow, 105005 Russia; Moscow State University Of Civil Engineering (National Research University), Moscow, 129337 Russia, kuzn-sergey@yandex.ru) |
| Abstract |
To describe the propagation of acoustic surface waves in an anisotropic layer, a six-dimensional complex formalism is introduced, a Hamiltonian is constructed, an analogue of the Rayleigh dissipative function, and an exponential fundamental matrix. Dispersion equations are obtained for a multilayer plate with different conditions on the boundary surfaces. Examples of the application of the Cauchy formalism to the analysis of the dispersion of Lamb waves are given. |
| Keywords |
Cauchy formalism, Hamiltonian formalism, Lamb wave |
| Received |
20 January 2020 | Revised |
10 February 2020 | Accepted |
11 March 2020 |
| Link to Fulltext |
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