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Zapiski Nauchnykh Seminarov POMI, 2010, Volume 380, Pages 53–89 (Mi znsl3846)  
This article is cited in 1 scientific paper (total in 1 paper)

Surface layer method for far filed diffractions of SV surface waves

N. Ya. Kirpichnikovaa, A. S. Kirpichnikovab

a St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
b School of Mathematics & Statistics, University of Glasgow, Glasgow, UK
Full-text PDF (833 kB) Citations (1)
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Abstract: We investigate SV polarized wave field in the elastic gradient layer of constant width. A point source is situated at the boundary of the layer. We assume the rigid contact conditions are valid at the boundary between the layer and elastic half-space. We show that the interference field in the main approximation far from the source does not depend on the relation between phase velocity and transversal and longitudinal velocities in the half-space. Bibl. 11 titles.
Key words and phrases: boundary surface layer, asymptotic, propagation waves, elastic media, function Airy.
Received: 05.07.2010
English version:
Journal of Mathematical Sciences (New York), 2011, Volume 175, Issue 6, Pages 651–671
DOI: https://doi.org/10.1007/s10958-011-0381-z
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: N. Ya. Kirpichnikova, A. S. Kirpichnikova, “Surface layer method for far filed diffractions of SV surface waves”, Mathematical problems in the theory of wave propagation. Part 40, Zap. Nauchn. Sem. POMI, 380, POMI, St. Petersburg, 2010, 53–89; J. Math. Sci. (N. Y.), 175:6 (2011), 651–671
Citation in format AMSBIB
\Bibitem{KirKir10}
\by N.~Ya.~Kirpichnikova, A.~S.~Kirpichnikova
\paper Surface layer method for far filed diffractions of SV surface waves
\inbook Mathematical problems in the theory of wave propagation. Part~40
\serial Zap. Nauchn. Sem. POMI
\yr 2010
\vol 380
\pages 53--89
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3846}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2011
\vol 175
\issue 6
\pages 651--671
\crossref{https://doi.org/10.1007/s10958-011-0381-z}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-80955177555}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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