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Zapiski Nauchnykh Seminarov LOMI, 1981, Volume 104, Pages 156–169 (Mi znsl3387)  

This article is cited in 1 scientific paper (total in 1 paper)

A finite expression of characteristic matrices of slightly bent elastic layers

L. A. Molotkov
Full-text PDF (515 kB) Citations (1)
Abstract: The wave propagation in the two dimension medium is investigated in the case of the cylindrical and spherical homogeneous elastic layers. For these layers the finite expressions of characteristic matrices are deduced. The comparision of these expressions and the use of Hankel function asymptotica allow to derive the formulas for slightly bent elastic layers. These finite formulas correspond to the recently obtained expressions with matrix series [1].
English version:
Journal of Soviet Mathematics, 1982, Volume 20, Issue 1, Pages 1845–1854
DOI: https://doi.org/10.1007/BF01119369
Bibliographic databases:
UDC: 550.834
Language: Russian
Citation: L. A. Molotkov, “A finite expression of characteristic matrices of slightly bent elastic layers”, Mathematical problems in the theory of wave propagation. Part 11, Zap. Nauchn. Sem. LOMI, 104, "Nauka", Leningrad. Otdel., Leningrad, 1981, 156–169; J. Soviet Math., 20:1 (1982), 1845–1854
Citation in format AMSBIB
\Bibitem{Mol81}
\by L.~A.~Molotkov
\paper A~finite expression of characteristic matrices of slightly bent elastic layers
\inbook Mathematical problems in the theory of wave propagation. Part~11
\serial Zap. Nauchn. Sem. LOMI
\yr 1981
\vol 104
\pages 156--169
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl3387}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=660269}
\zmath{https://zbmath.org/?q=an:0489.73038}
\transl
\jour J. Soviet Math.
\yr 1982
\vol 20
\issue 1
\pages 1845--1854
\crossref{https://doi.org/10.1007/BF01119369}
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  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Записки научных семинаров ПОМИ
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