| | 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: | | 10512 |
In Russian (ΟΜΜ): | | 9713
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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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