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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2007, Volume 48, Issue 5, Pages 138–145 (Mi pmtf2083)  
This article is cited in 2 scientific papers (total in 2 papers)

Analysis of the derivative of the energy functional with respect to the length of a curvilinear crack in an elastic body with a possible crack-edge contact

E. V. Vtorushin

Lavrent’ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, Novosibirsk, 630090
Full-text PDF (231 kB) Citations (2)
Abstract: A homogeneous two-dimensional body with a crack of variable length is considered. At the crack edges, conditions are formulated in the form of inequalities that describe mutual nonpenetration of the edges. The derivative of the elastic-energy functional with respect to the length of the curvilinear crack is analyzed. It is shown that the derivative is independent of the crack path, provided that the curve along which the crack propagates is reasonably smooth.
Keywords: derivative of the energy functional, nonpenetration, variational inequality, Griffith criterion.
Received: 01.11.2005
Accepted: 19.09.2006
English version:
Journal of Applied Mechanics and Technical Physics, 2007, Volume 48, Issue 5, Pages 737–742
DOI: https://doi.org/10.1007/s10808-007-0095-7
Bibliographic databases:
Document Type: Article
UDC: 539.375
Language: Russian
Citation: E. V. Vtorushin, “Analysis of the derivative of the energy functional with respect to the length of a curvilinear crack in an elastic body with a possible crack-edge contact”, Prikl. Mekh. Tekh. Fiz., 48:5 (2007), 138–145; J. Appl. Mech. Tech. Phys., 48:5 (2007), 737–742
Citation in format AMSBIB
\Bibitem{Vto07}
\by E.~V.~Vtorushin
\paper Analysis of the derivative of the energy functional with respect to the length of a curvilinear crack in an elastic body with a possible crack-edge contact
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2007
\vol 48
\issue 5
\pages 138--145
\mathnet{http://mi.mathnet.ru/pmtf2083}
\elib{https://elibrary.ru/item.asp?id=17249481}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2007
\vol 48
\issue 5
\pages 737--742
\crossref{https://doi.org/10.1007/s10808-007-0095-7}
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  • https://www.mathnet.ru/eng/pmtf/v48/i5/p138
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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