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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2011, Volume 52, Issue 2, Pages 114–127 (Mi pmtf1467)  
This article is cited in 17 scientific papers (total in 17 papers)

Asymptotic behavior of the energy functional for a three-dimensional body with a rigid inclusion and a crack

E.M. Rudoyab

a Lavrent’ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, Novosibirsk, 630090, Russia
b Novosibirsk State University, Novosibirsk, 630090, Russia
Full-text PDF (298 kB) Citations (17)
Abstract: A model of a three-dimensional elastic body containing a rigid inclusion and a crack located on the interface between the inclusion and the body is considered. Natural boundary conditions are imposed on the crack. A derivative of the energy functional with respect to the perturbation parameter is derived for an arbitrary, rather smooth perturbation of the domain, in particular, the Griffith formula is obtained.
Keywords: rigid inclusion, crack, derivative of the energy functional, Griffith criterion.
Received: 23.09.2009
Accepted: 05.02.2010
English version:
Journal of Applied Mechanics and Technical Physics, 2011, Volume 52, Issue 2, Pages 252–263
DOI: https://doi.org/10.1134/S0021894411020131
Bibliographic databases:
Document Type: Article
UDC: 539.375
Language: Russian
Citation: E.M. Rudoy, “Asymptotic behavior of the energy functional for a three-dimensional body with a rigid inclusion and a crack”, Prikl. Mekh. Tekh. Fiz., 52:2 (2011), 114–127; J. Appl. Mech. Tech. Phys., 52:2 (2011), 252–263
Citation in format AMSBIB
\Bibitem{Rud11}
\by E.M.~Rudoy
\paper Asymptotic behavior of the energy functional for a three-dimensional body with a rigid inclusion and a crack
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2011
\vol 52
\issue 2
\pages 114--127
\mathnet{http://mi.mathnet.ru/pmtf1467}
\elib{https://elibrary.ru/item.asp?id=16227886}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2011
\vol 52
\issue 2
\pages 252--263
\crossref{https://doi.org/10.1134/S0021894411020131}
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  • https://www.mathnet.ru/eng/pmtf/v52/i2/p114
    • This publication is cited in the following 17 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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