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Zapiski Nauchnykh Seminarov POMI, 1999, Volume 257, Pages 228–287 (Mi znsl1000)  

This article is cited in 12 scientific papers (total in 12 papers)

Boundary layers and the hinge-support conditions for thin plates

S. A. Nazarov

Institute of Problems of Mechanical Engineering, Russian Academy of Sciences
Abstract: The boundary layer phenomenon is investigated for a thin three-dimensional plate. Arbitrary anisotropy of elastic properties and inhomogenuity in longitudinal and transversal directions are permitted. Some of initial asymptotic terms are constructed and a way to continue the asymptotic procedure is described. Precise estimates of the difference between the exact and approximate solutions are obtained for the energy norm. The amalgamated problem is formed that gives the two-term asymptotics of the displacement and stress fields at a distance from the lateral side of the plate while the edge effects are simulated by elastic clamping conditions containing integral characteristics of the boundary layer problem in the semi-strip. The hinge-support conditions which appear due to sufficiently narrow claming zone at plate's edge, are derived and justified, too.
Received: 19.10.1998
English version:
Journal of Mathematical Sciences (New York), 2002, Volume 108, Issue 5, Pages 806–850
DOI: https://doi.org/10.1023/A:1013267716629
Bibliographic databases:
UDC: 517.946+539.3
Language: Russian
Citation: S. A. Nazarov, “Boundary layers and the hinge-support conditions for thin plates”, Mathematical problems in the theory of wave propagation. Part 28, Zap. Nauchn. Sem. POMI, 257, POMI, St. Petersburg, 1999, 228–287; J. Math. Sci. (New York), 108:5 (2002), 806–850
Citation in format AMSBIB
\Bibitem{Naz99}
\by S.~A.~Nazarov
\paper Boundary layers and the hinge-support conditions for thin plates
\inbook Mathematical problems in the theory of wave propagation. Part~28
\serial Zap. Nauchn. Sem. POMI
\yr 1999
\vol 257
\pages 228--287
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1000}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1754703}
\zmath{https://zbmath.org/?q=an:1060.74040}
\transl
\jour J. Math. Sci. (New York)
\yr 2002
\vol 108
\issue 5
\pages 806--850
\crossref{https://doi.org/10.1023/A:1013267716629}
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  • https://www.mathnet.ru/eng/znsl/v257/p228
  • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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