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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2008, Volume 49, Issue 5, Pages 177–189 (Mi pmtf1961)  
This article is cited in 2 scientific papers (total in 2 papers)

Unsteady problem of crack propagation in the beam approximation

L. A. Tkacheva

Lavrent’ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, Novosibirsk, 630090, Russia
Full-text PDF (265 kB) Citations (2)
Abstract: Unsteady crack propagation is studied in the beam approximation. The Euler and Timoshenko models of beam theory are used. Crack propagation is described using an energy balance equation.
Keywords: elastic beam, Euler beam, Timoshenko beam, energetic criterion of crack growth, surface energy density, normal mode method, Runge–Kutta method.
Received: 12.04.2007
Accepted: 01.08.2007
English version:
Journal of Applied Mechanics and Technical Physics, 2008, Volume 49, Issue 5, Pages 853–863
DOI: https://doi.org/10.1007/s10808-008-0105-4
Bibliographic databases:
Document Type: Article
UDC: 539.3
Language: Russian
Citation: L. A. Tkacheva, “Unsteady problem of crack propagation in the beam approximation”, Prikl. Mekh. Tekh. Fiz., 49:5 (2008), 177–189; J. Appl. Mech. Tech. Phys., 49:5 (2008), 853–863
Citation in format AMSBIB
\Bibitem{Tka08}
\by L.~A.~Tkacheva
\paper Unsteady problem of crack propagation in the beam approximation
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2008
\vol 49
\issue 5
\pages 177--189
\mathnet{http://mi.mathnet.ru/pmtf1961}
\elib{https://elibrary.ru/item.asp?id=19062398}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2008
\vol 49
\issue 5
\pages 853--863
\crossref{https://doi.org/10.1007/s10808-008-0105-4}
Linking options:
  • https://www.mathnet.ru/eng/pmtf1961
  • https://www.mathnet.ru/eng/pmtf/v49/i5/p177
    Erratum
    This publication is cited in the following 2 articles:
    1. E.M. Rudoy, N.P. Lazarev, “Domain decomposition technique for a model of an elastic body reinforced by a Timoshenko's beam”, Journal of Computational and Applied Mathematics, 334 (2018), 18  crossref
    2. L. A. Tkacheva, “On the detachment of a beam glued to a rigid plate”, J. Appl. Mech. Tech. Phys., 52:2 (2011), 321–328  mathnet  mathnet  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Prikladnaya Mekhanika i Tekhnicheskaya Fizika Prikladnaya Mekhanika i Tekhnicheskaya Fizika
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