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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2005, Volume 46, Issue 5, Pages 123–137 (Mi pmtf2309)  
This article is cited in 6 scientific papers (total in 6 papers)

Invariant integrals in the problem of a crack on the interface between two media

A. M. Khludnev

Lavrent’ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, Novosibirsk, 630090, Russia
Full-text PDF (257 kB) Citations (6)
Abstract: The equilibrium problem for an elastic body containing a crack on the interface between two media is considered. It is proved that there exist invariant (independent of the integration surface) integrals in this problem. The existence of invariant integrals is also established in the problem of a contact between an elastic body and a rigid stamp. Nonlinear boundary conditions of mutual non-penetration are prescribed on the contact boundaries. The physical meaning of invariant integrals is established.
Keywords: invariant integral, elastic body, crack, contact problem.
Received: 23.12.2004
English version:
Journal of Applied Mechanics and Technical Physics, 2005, Volume 46, Issue 5, Pages 717–729
DOI: https://doi.org/10.1007/s10808-005-0129-y
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: Russian
Citation: A. M. Khludnev, “Invariant integrals in the problem of a crack on the interface between two media”, Prikl. Mekh. Tekh. Fiz., 46:5 (2005), 123–137; J. Appl. Mech. Tech. Phys., 46:5 (2005), 717–729
Citation in format AMSBIB
\Bibitem{Khl05}
\by A.~M.~Khludnev
\paper Invariant integrals in the problem of a crack on the interface between two media
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2005
\vol 46
\issue 5
\pages 123--137
\mathnet{http://mi.mathnet.ru/pmtf2309}
\elib{https://elibrary.ru/item.asp?id=15175973}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2005
\vol 46
\issue 5
\pages 717--729
\crossref{https://doi.org/10.1007/s10808-005-0129-y}
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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