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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2007, Volume 48, Issue 6, Pages 103–114 (Mi pmtf2098)  
This article is cited in 3 scientific papers (total in 3 papers)

Eigenoscillations of an elastic body with a rough surface

S. A. Nazarov

Institute of Problems of Mechanical Engineering, Russian Academy of Sciences, St. Petersburg, 199178
Full-text PDF (250 kB) Citations (3)
Abstract: Explicit presentations for the initial terms of the asymptotic solution of the spectral problem of the elasticity theory in a plane region with a rapidly oscillating boundary are obtained. Based on asymptotic formulas, two methods for problem modeling are proposed: with the use of Wenzel’s boundary conditions and with the use of the principle of a smooth image of a singularly perturbed boundary. Various approaches to justification of asymptotic presentations are discussed.
Keywords: anisotropic elastic body, fine-grain boundary, asymptotic presentations.
Received: 20.12.2006
English version:
Journal of Applied Mechanics and Technical Physics, 2007, Volume 48, Issue 6, Pages 861–870
DOI: https://doi.org/10.1007/s10808-007-0110-z
Bibliographic databases:
Document Type: Article
UDC: 539.3
Language: Russian
Citation: S. A. Nazarov, “Eigenoscillations of an elastic body with a rough surface”, Prikl. Mekh. Tekh. Fiz., 48:6 (2007), 103–114; J. Appl. Mech. Tech. Phys., 48:6 (2007), 861–870
Citation in format AMSBIB
\Bibitem{Naz07}
\by S.~A.~Nazarov
\paper Eigenoscillations of an elastic body with a rough surface
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2007
\vol 48
\issue 6
\pages 103--114
\mathnet{http://mi.mathnet.ru/pmtf2098}
\elib{https://elibrary.ru/item.asp?id=17425765}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2007
\vol 48
\issue 6
\pages 861--870
\crossref{https://doi.org/10.1007/s10808-007-0110-z}
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  • https://www.mathnet.ru/eng/pmtf/v48/i6/p103
    • 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
    		Prikladnaya Mekhanika i Tekhnicheskaya Fizika Prikladnaya Mekhanika i Tekhnicheskaya Fizika
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