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Zapiski Nauchnykh Seminarov POMI, 2006, Volume 332, Pages 163–174 (Mi znsl268)  
This article is cited in 1 scientific paper (total in 1 paper)

On one asymmetric wave field in transversely isotropic elastic medium

L. A. Molotkov

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (183 kB) Citations (1)
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Abstract: A transversely isotropic homogeneous elastic medium excited by a point force perpendicular to the anisotropic axis is cosidered. The wave field in this medium is constructed and investigated. The fronts of the $SV$ and $SH$ waves are contact with one another at a point. The fronts in the vicinity of this point are investigated in additional. If we consider the $SH$ wave (or the $SV$ wave) separatelly then a false plane front in this region arises. On combined consideration of the $SH$ and $SV$ waves, this false front disappears.
Received: 25.04.2006
English version:
Journal of Mathematical Sciences (New York), 2007, Volume 142, Issue 6, Pages 2613–2619
DOI: https://doi.org/10.1007/s10958-007-0149-7
Bibliographic databases:
UDC: 550.34
Language: Russian
Citation: L. A. Molotkov, “On one asymmetric wave field in transversely isotropic elastic medium”, Mathematical problems in the theory of wave propagation. Part 35, Zap. Nauchn. Sem. POMI, 332, POMI, St. Petersburg, 2006, 163–174; J. Math. Sci. (N. Y.), 142:6 (2007), 2613–2619
Citation in format AMSBIB
\Bibitem{Mol06}
\by L.~A.~Molotkov
\paper On one asymmetric wave field in transversely isotropic elastic medium
\inbook Mathematical problems in the theory of wave propagation. Part~35
\serial Zap. Nauchn. Sem. POMI
\yr 2006
\vol 332
\pages 163--174
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl268}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2252993}
\zmath{https://zbmath.org/?q=an:1116.74028}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2007
\vol 142
\issue 6
\pages 2613--2619
\crossref{https://doi.org/10.1007/s10958-007-0149-7}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-34247257865}
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  • https://www.mathnet.ru/eng/znsl/v332/p163
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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