 | | 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: | | 12949 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8096
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| In English (Mech. Solids): | | 4853 |
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| A.I. Karakozova and S.V. Kuznetsov, "Non-Semisimple Degeneracy of Lamb Waves," Mech. Solids. 59 (4), 1958-1966 (2024) |
| Year |
2024 |
Volume |
59 |
Number |
4 |
Pages |
1958-1966 |
| DOI |
10.1134/S0025654424603458 |
| Title |
Non-Semisimple Degeneracy of Lamb Waves |
| Author(s) |
A.I. Karakozova (Moscow State University of Civil Engineering, Moscow, 129337 Russia)
S.V. Kuznetsov (Ishlinsky Institute for Problems in Mechanics RAS, Moscow, 119526 Russia, kuzn-sergey@yandex.ru) |
| Abstract |
Anomalous guided waves appearing at a non-semisimple degeneracy of the fundamental
matrix are observed and analyzed in the framework of the Cauchy sextic formalism. The non-semisimple degeneracy condition is explicitly constructed for the most general case of Lamb waves propagating in a traction-free layer with arbitrary elastic anisotropy. A new type of dispersion equation and
the corresponding dispersion solution are obtained. The connection with surface waves of the non-Rayleigh type is discussed. |
| Keywords |
Cauchy formalism, guided wave, anisotropy, dispersion, degeneracy |
| Received |
29 February 2024 | Revised |
28 March 2024 | Accepted |
22 April 2024 |
| Link to Fulltext |
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