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Zapiski Nauchnykh Seminarov POMI, 2006, Volume 332, Pages 286–298 (Mi znsl274)  
This article is cited in 5 scientific papers (total in 5 papers)

Asymptotic expansion of boundary-layer type for flexural waves along the curved edge of a Kirchhoff–Love plate

K. D. Cherednichenkoab

a Saint-Petersburg State University
b University of Cambridge
Full-text PDF (212 kB) Citations (5)
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Abstract: A high-frequency asymptotic expansion of boundary-layer type is constructed for flexural waves localised in the vicinity of the free edge of a Kirchhoff–Love elastic plate. Unlike in the previous works on the subject, the boundary of the plate does not have to be rectilinear. Expressions for the leading-order terms of the expansion are obtained, which are then implemented in the problem of the description of eigenmodes of an arbitrary bounded plate with smooth boundary.
Received: 01.06.2006
English version:
Journal of Mathematical Sciences (New York), 2007, Volume 142, Issue 6, Pages 2682–2688
DOI: https://doi.org/10.1007/s10958-007-0155-9
Bibliographic databases:
UDC: 517.9, 534.2, 539.3
Language: Russian
Citation: K. D. Cherednichenko, “Asymptotic expansion of boundary-layer type for flexural waves along the curved edge of a Kirchhoff–Love plate”, Mathematical problems in the theory of wave propagation. Part 35, Zap. Nauchn. Sem. POMI, 332, POMI, St. Petersburg, 2006, 286–298; J. Math. Sci. (N. Y.), 142:6 (2007), 2682–2688
Citation in format AMSBIB
\Bibitem{Che06}
\by K.~D.~Cherednichenko
\paper Asymptotic expansion of boundary-layer type for flexural waves along the curved edge of a~Kirchhoff--Love plate
\inbook Mathematical problems in the theory of wave propagation. Part~35
\serial Zap. Nauchn. Sem. POMI
\yr 2006
\vol 332
\pages 286--298
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl274}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2252999}
\zmath{https://zbmath.org/?q=an:1116.74030}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2007
\vol 142
\issue 6
\pages 2682--2688
\crossref{https://doi.org/10.1007/s10958-007-0155-9}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-34247190696}
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  • https://www.mathnet.ru/eng/znsl/v332/p286
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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