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Sibirskii Matematicheskii Zhurnal, 2002, Volume 43, Number 6, Pages 1388–1400 (Mi smj1378)  
This article is cited in 15 scientific papers (total in 15 papers)

The method of smooth domains in the equilibrium problem for a plate with a crack

A. M. Khludnev

M. A. Lavrent'ev Institute of Hydrodynamics
Full-text PDF (212 kB) Citations (15)
Abstract: A free boundary problem is considered of the equilibrium of an elastic plate with a crack. We suppose that some boundary mutual nonpenetration conditions are given on the crack faces in the form of simultaneous equalities and inequalities. We suggest a new approach to posing the problem in a smooth domain although it was stated in a domain with cuts originally. We treat the constraints on the components of the displacement vector and stress tensor on the crack faces as interior constraints, i.e. constraints given on subsets of the smooth domain of a solution.
Keywords: plate, nonsmooth domain, boundary value problem, crack.
Received: 08.02.2002
English version:
Siberian Mathematical Journal, 2002, Volume 43, Issue 6, Pages 1124–1134
DOI: https://doi.org/10.1023/A:1021133804808
Bibliographic databases:
UDC: 517.958
Language: Russian
Citation: A. M. Khludnev, “The method of smooth domains in the equilibrium problem for a plate with a crack”, Sibirsk. Mat. Zh., 43:6 (2002), 1388–1400; Siberian Math. J., 43:6 (2002), 1124–1134
Citation in format AMSBIB
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\by A.~M.~Khludnev
\paper The method of smooth domains in the equilibrium problem for a~plate with a~crack
\jour Sibirsk. Mat. Zh.
\yr 2002
\vol 43
\issue 6
\pages 1388--1400
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1946238}
\zmath{https://zbmath.org/?q=an:1075.74571}
\transl
\jour Siberian Math. J.
\yr 2002
\vol 43
\issue 6
\pages 1124--1134
\crossref{https://doi.org/10.1023/A:1021133804808}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000180105300015}
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  • https://www.mathnet.ru/eng/smj/v43/i6/p1388
    • This publication is cited in the following 15 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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