 | | Journal of Applied
Mathematics and Mechanics
Russian Academy of Sciences | | Founded
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
(print version) |
Archive of Issues
| Total articles in the database: | | 10482 |
| In Russian (ΟΜΜ): | | 9683
|
| In English (J. Appl. Math. Mech.): | | 799 |
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| << Previous article | Volume 73, Issue 4 / 2009 | Next article >> |
| I.V. Kamotskii and A.P. Kiselev, "An energy approach to the proof of the existence of Rayleigh waves in an anisotropic elastic half-space," J. Appl. Math. Mech. 73 (4), 464-470 (2009) |
| Year |
2009 |
Volume |
73 |
Issue |
4 |
Pages |
464-470 |
| Title |
An energy approach to the proof of the existence of Rayleigh waves in an anisotropic elastic half-space |
| Author(s) |
I.V. Kamotskii (St Petersburg, Russia)
A.P. Kiselev (St Petersburg, Russia, kiselev@pdmi.ras.ru) |
| Abstract |
An approach based on investigating the energy functional is applied for the first time to the classical problem of Rayleigh waves in an anisotropic half-space with a free boundary. The main object of the investigation is an ordinary differential operator in a variable characterizing the depth. An investigation of the spectrum by variational methods enables a new proof to be given of the existence of a Rayleigh wave in a linear elastic half-space with arbitrary anisotropy, which does not rest on the Stroh formalism. |
| Received |
25 January 2008 |
| Link to Fulltext |
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