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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2005, Volume 46, Issue 4, Pages 116–124 (Mi pmtf2288)  

This article is cited in 10 scientific papers (total in 10 papers)

Construction and analysis of an analytical solution for the surface Rayleigh wave within the framework of the Cosserat continuum

M. A. Kulesh, V. P. Matveenko, I. N. Shardakov

Institute of Mechanics of Continuous Media, Ural Division, Russian Academy of Sciences, Perm’, 614013, Russia
Abstract: The problem of propagation of an acoustic surface Rayleigh wave in an infinite half-space is considered within the framework of the asymmetric theory of elasticity (Cosserat medium). It is assumed that material deformation is described not only by the displacement vector but also by an independent rotation vector. A global analytical solution of the problem in displacements is obtained. A comparative analysis of the solution obtained and the corresponding solution for the classical elastic medium is performed. Macroparameters characterizing the difference of the stress-strain state from that predicted by the classical theory of elasticity are introduced.
Keywords: Rayleigh wave, dispersion, Cosserat medium, analytical solutions.
Received: 14.09.2004
English version:
Journal of Applied Mechanics and Technical Physics, 2005, Volume 46, Issue 4, Pages 556–563
DOI: https://doi.org/10.1007/s10808-005-0108-3
Bibliographic databases:
Document Type: Article
UDC: 534.22.094.1
Language: Russian
Citation: M. A. Kulesh, V. P. Matveenko, I. N. Shardakov, “Construction and analysis of an analytical solution for the surface Rayleigh wave within the framework of the Cosserat continuum”, Prikl. Mekh. Tekh. Fiz., 46:4 (2005), 116–124; J. Appl. Mech. Tech. Phys., 46:4 (2005), 556–563
Citation in format AMSBIB
\Bibitem{KulMatSha05}
\by M.~A.~Kulesh, V.~P.~Matveenko, I.~N.~Shardakov
\paper Construction and analysis of an analytical solution for the surface Rayleigh wave within the framework of the Cosserat continuum
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2005
\vol 46
\issue 4
\pages 116--124
\mathnet{http://mi.mathnet.ru/pmtf2288}
\elib{https://elibrary.ru/item.asp?id=15175952}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2005
\vol 46
\issue 4
\pages 556--563
\crossref{https://doi.org/10.1007/s10808-005-0108-3}
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  • https://www.mathnet.ru/eng/pmtf/v46/i4/p116
  • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Prikladnaya Mekhanika i Tekhnicheskaya Fizika Prikladnaya Mekhanika i Tekhnicheskaya Fizika
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