Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2012, Number 2, Pages 59–62 (Mi vmumm484)  
This article is cited in 1 scientific paper (total in 1 paper)

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Surface waves under constrained deformation

A. V. Zvyagin, G. A. Romashov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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Abstract: The possibility of the existence of surface waves in a range of speeds greater than the speed of transverse waves, but smaller than the speed of longitudinal waves is shown. It turns out that, in the boundary value problem for an elastic half-space in this speed range, there are the surface waves whose speed is constant and equal to $\sqrt{2}~b$, where $b$ is the speed of transverse waves. These waves as well as the Rayleigh surface waves have no dispersion. Their speed is determined only by the elastic constants and density of the medium. It is shown that the existence of such a speed is possibly related to the surface waves that appear as unloading waves under constrained deformation.
Key words: contact destruction, theory of elasticity, dynamics.
Funding agency Grant number
Russian Foundation for Basic Research 09-01-00817-а
10-01-00768-а
12-01-00964-а
Received: 20.12.2010
English version:
Moscow University Mechanics Bulletin, 2012, Volume 67, Issue 2, Pages 43–45
DOI: https://doi.org/10.3103/S0027133012020045
Bibliographic databases:
Document Type: Article
UDC: 539.3
Language: Russian
Citation: A. V. Zvyagin, G. A. Romashov, “Surface waves under constrained deformation”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2012, no. 2, 59–62; Moscow University Mechanics Bulletin, 67:2 (2012), 43–45
Citation in format AMSBIB
\Bibitem{ZvyRom12}
\by A.~V.~Zvyagin, G.~A.~Romashov
\paper Surface waves under constrained deformation
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2012
\issue 2
\pages 59--62
\mathnet{http://mi.mathnet.ru/vmumm484}
\transl
\jour Moscow University Mechanics Bulletin
\yr 2012
\vol 67
\issue 2
\pages 43--45
\crossref{https://doi.org/10.3103/S0027133012020045}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84863660017}
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