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Zapiski Nauchnykh Seminarov POMI, 2010, Volume 380, Pages 45–52 (Mi znsl3845)  
This article is cited in 18 scientific papers (total in 18 papers)

On elastic waves in a wedge

G. L. Zavorokhin, A. I. Nazarov

Saint-Petersburg State University, Saint-Petersburg, Russia
Full-text PDF (882 kB) Citations (18)
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Abstract: The existence of waves propagating along the edge of the elastic wedge was established by many authors by physically rigorous arguments on the base of numerical computations. The mathematically rigorous proof for wedge with aperture angle less than $\pi/2$ was presented by I. Kamotskii.
We amplify the I. Kamotskii result and prove the existence of the fundamental modes for some range of aperture angles greater than $\pi/2$. Bibl. 7 titles.
Key words and phrases: Wedge wave, Rayleigh wave, variational principle.
Received: 25.10.2010
English version:
Journal of Mathematical Sciences (New York), 2011, Volume 175, Issue 6, Pages 646–650
DOI: https://doi.org/10.1007/s10958-011-0380-0
Bibliographic databases:
Document Type: Article
UDC: 517.958+540.3
Language: Russian
Citation: G. L. Zavorokhin, A. I. Nazarov, “On elastic waves in a wedge”, Mathematical problems in the theory of wave propagation. Part 40, Zap. Nauchn. Sem. POMI, 380, POMI, St. Petersburg, 2010, 45–52; J. Math. Sci. (N. Y.), 175:6 (2011), 646–650
Citation in format AMSBIB
\Bibitem{ZavNaz10}
\by G.~L.~Zavorokhin, A.~I.~Nazarov
\paper On elastic waves in a~wedge
\inbook Mathematical problems in the theory of wave propagation. Part~40
\serial Zap. Nauchn. Sem. POMI
\yr 2010
\vol 380
\pages 45--52
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3845}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2011
\vol 175
\issue 6
\pages 646--650
\crossref{https://doi.org/10.1007/s10958-011-0380-0}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-80955181013}
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    • This publication is cited in the following 18 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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