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Zapiski Nauchnykh Seminarov POMI, 2009, Volume 369, Pages 5–15 (Mi znsl3518)  
This article is cited in 2 scientific papers (total in 3 papers)

The diffraction of a plane wave by a slippery elastic wedge

V. M. Babicha, A. A. Matskovskiyb

a St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences, St. Petersburg, Russia
b Saint-Petersburg State University, Saint-Petersburg, Russia
Full-text PDF (579 kB) Citations (3)
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Abstract: The diffraction of a plane elastic wave by a slippery wedge is considered. By slippery wedge we mean the wedge with zero tangent tension and normal component of the displacement vector on it's boundary. It is known, that it is possible to write an explicit solution of this task. We find the Sommerfeld representation of the solution in this paper. Bibl. – 6 titles.
Key words and phrases: wedge, Sommerfield, diffraction, elastic, slippery, difference equations, plane wave.
Received: 06.11.2009
English version:
Journal of Mathematical Sciences (New York), 2010, Volume 167, Issue 5, Pages 597–602
DOI: https://doi.org/10.1007/s10958-010-9947-4
Bibliographic databases:
Document Type: Article
UDC: 517
Language: Russian
Citation: V. M. Babich, A. A. Matskovskiy, “The diffraction of a plane wave by a slippery elastic wedge”, Mathematical problems in the theory of wave propagation. Part 38, Zap. Nauchn. Sem. POMI, 369, POMI, St. Petersburg, 2009, 5–15; J. Math. Sci. (N. Y.), 167:5 (2010), 597–602
Citation in format AMSBIB
\Bibitem{BabMat09}
\by V.~M.~Babich, A.~A.~Matskovskiy
\paper The diffraction of a~plane wave by a~slippery elastic wedge
\inbook Mathematical problems in the theory of wave propagation. Part~38
\serial Zap. Nauchn. Sem. POMI
\yr 2009
\vol 369
\pages 5--15
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3518}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2010
\vol 167
\issue 5
\pages 597--602
\crossref{https://doi.org/10.1007/s10958-010-9947-4}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-77953913257}
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  • https://www.mathnet.ru/eng/znsl/v369/p5
    • 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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