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Zapiski Nauchnykh Seminarov POMI, 1995, Volume 230, Pages 7–13 (Mi znsl3760)  
This article is cited in 3 scientific papers (total in 3 papers)

Viscoelastic Rayleigh waves in a layered structure with a weak lateral inhomogeneity

A. V. Aref'ev, A. P. Kiselev

Institute of Problems of Mechanical Engineering, Russian Academy of Sciences
Full-text PDF (289 kB) Citations (3)
Abstract: Rayleigh waves in an almost layered viscoelastic medium are studied by using the “surface” ray method based on real rays. Viscoelasticity is described in terms of the Maxwell–Boltzmann–Volterra model and, for high frequencies, is treated as perturbed perfect elasticity. In addition to the leading term of the ray asymptotics, which corresponds to the balance of energy along rays, the correction term describing anomalous displacements of the Love type is discussed. Bibl. 10 titles.
Received: 01.06.1995
English version:
Journal of Mathematical Sciences (New York), 1998, Volume 91, Issue 2, Pages 2701–2705
DOI: https://doi.org/10.1007/BF02433984
Bibliographic databases:
Document Type: Article
UDC: 517.95+550.34+534.2
Language: Russian
Citation: A. V. Aref'ev, A. P. Kiselev, “Viscoelastic Rayleigh waves in a layered structure with a weak lateral inhomogeneity”, Mathematical problems in the theory of wave propagation. Part 25, Zap. Nauchn. Sem. POMI, 230, POMI, St. Petersburg, 1995, 7–13; J. Math. Sci. (New York), 91:2 (1998), 2701–2705
Citation in format AMSBIB
\Bibitem{AreKis95}
\by A.~V.~Aref'ev, A.~P.~Kiselev
\paper Viscoelastic Rayleigh waves in a~layered structure with a~weak lateral inhomogeneity
\inbook Mathematical problems in the theory of wave propagation. Part~25
\serial Zap. Nauchn. Sem. POMI
\yr 1995
\vol 230
\pages 7--13
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3760}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1434265}
\zmath{https://zbmath.org/?q=an:0902.73023|0894.73026}
\transl
\jour J. Math. Sci. (New York)
\yr 1998
\vol 91
\issue 2
\pages 2701--2705
\crossref{https://doi.org/10.1007/BF02433984}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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