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Sibirskii Zhurnal Industrial'noi Matematiki, 2013, Volume 16, Number 2, Pages 144–153 (Mi sjim787)  
This article is cited in 8 scientific papers (total in 8 papers)

On an equilibrium problem for a two-layer elastic body with a crack

A. M. Khludnev

Lavrent'ev Institute of Hydrodynamics SB RAS, 15 Lavrent'ev av., 630090 Novosibirsk, Russia
Full-text PDF (283 kB) Citations (8)
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Abstract: We analyze a free boundary value problem describing an equilibrium state of a two-layer elastic body with a crack. The existence of a solution is proved. Invariant integrals over curves surrounding the crack tip are found. Passages to the limit as the rigidity parameter of the layer vanishes are studied.
Keywords: crack, nonlinear boundary conditions, two-layer body, derivative of the energy functional, invariant integrals.
Received: 12.12.2012
English version:
Journal of Applied and Industrial Mathematics, 2013, Volume 7, Issue 3, Pages 370–379
DOI: https://doi.org/10.1134/S1990478913030101
Bibliographic databases:
Document Type: Article
UDC: 539.3+517.958
Language: Russian
Citation: A. M. Khludnev, “On an equilibrium problem for a two-layer elastic body with a crack”, Sib. Zh. Ind. Mat., 16:2 (2013), 144–153; J. Appl. Industr. Math., 7:3 (2013), 370–379
Citation in format AMSBIB
\Bibitem{Khl13}
\by A.~M.~Khludnev
\paper On an equilibrium problem for a~two-layer elastic body with a~crack
\jour Sib. Zh. Ind. Mat.
\yr 2013
\vol 16
\issue 2
\pages 144--153
\mathnet{http://mi.mathnet.ru/sjim787}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=3203349}
\transl
\jour J. Appl. Industr. Math.
\yr 2013
\vol 7
\issue 3
\pages 370--379
\crossref{https://doi.org/10.1134/S1990478913030101}
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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