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Russian Academy of Sciences
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IssuesArchive of Issues2009-4pp.464-470

Archive of Issues

Total articles in the database: 1813
In Russian (): 1014
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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 http://www.sciencedirect.com/science/journal/00218928
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