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Zapiski Nauchnykh Seminarov POMI, 2005, Volume 324, Pages 43–60 (Mi znsl362)  
An asymptotic solution to the Signorini problem about a beam laying on two rigid bases

O. V. Izotovaa, S. A. Nazarovb

a Institute of International Educational Programs of St.-Petersburg State Polytechnic University
b Institute of Problems of Mechanical Engineering, Russian Academy of Sciences
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Abstract: An asymptoic solution is constructed to the Signorini problem for a two-dimensional thin beam under a possible contact with two rigid profiles. For the position of points where the beam leaves the base, the asymptotic formula is derived by an analysis of the boundary layer phenomenon near these points.
Received: 05.02.2005
English version:
Journal of Mathematical Sciences (New York), 2006, Volume 138, Issue 2, Pages 5503–5513
DOI: https://doi.org/10.1007/s10958-006-0318-0
Bibliographic databases:
UDC: 517
Language: Russian
Citation: O. V. Izotova, S. A. Nazarov, “An asymptotic solution to the Signorini problem about a beam laying on two rigid bases”, Mathematical problems in the theory of wave propagation. Part 34, Zap. Nauchn. Sem. POMI, 324, POMI, St. Petersburg, 2005, 43–60; J. Math. Sci. (N. Y.), 138:2 (2006), 5503–5513
Citation in format AMSBIB
\Bibitem{IzoNaz05}
\by O.~V.~Izotova, S.~A.~Nazarov
\paper An asymptotic solution to the Signorini problem about a~beam laying on two rigid bases
\inbook Mathematical problems in the theory of wave propagation. Part~34
\serial Zap. Nauchn. Sem. POMI
\yr 2005
\vol 324
\pages 43--60
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl362}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2159347}
\zmath{https://zbmath.org/?q=an:1095.35055}
\elib{https://elibrary.ru/item.asp?id=9126076}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2006
\vol 138
\issue 2
\pages 5503--5513
\crossref{https://doi.org/10.1007/s10958-006-0318-0}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33748572646}
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