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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2013, Volume 54, Issue 3, Pages 170–180 (Mi pmtf1190)  
This article is cited in 1 scientific paper (total in 1 paper)

Mathematical model of a brittle crack that takes into account the distribution of cohesive forces between the crack faces and the distance between them

V. V. Shevelev, R. A. Osipov

Lomonosov Moscow State University of Fine Chemical Technologies, Moscow, 119571, Russia
Full-text PDF (310 kB) Citations (1)
Abstract: A mathematical model of a circular disk-shaped brittle crack whose faces are acted upon by cohesive forces, whose magnitude depends on the distance between the faces. An algorithm of numerical solution of the singular nonlinear improper integral equation defining the crack profile was developed which can be used for other integral equations of this type. It is shown that taking into account the coupling forces between the crack faces leads to their gradual closing with distance from the center of the crack.
Keywords: crack, mathematical model, brittle fracture, integral equation, numerical methods.
Received: 04.06.2012
Revised: 26.09.2012
English version:
Journal of Applied Mechanics and Technical Physics, 2013, Volume 54, Issue 3, Pages 491–499
DOI: https://doi.org/10.1134/S0021894413030206
Bibliographic databases:
Document Type: Article
UDC: 539.56
Language: Russian
Citation: V. V. Shevelev, R. A. Osipov, “Mathematical model of a brittle crack that takes into account the distribution of cohesive forces between the crack faces and the distance between them”, Prikl. Mekh. Tekh. Fiz., 54:3 (2013), 170–180; J. Appl. Mech. Tech. Phys., 54:3 (2013), 491–499
Citation in format AMSBIB
\Bibitem{SheOsi13}
\by V.~V.~Shevelev, R.~A.~Osipov
\paper Mathematical model of a brittle crack that takes into account the distribution of cohesive forces between the crack faces and the distance between them
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2013
\vol 54
\issue 3
\pages 170--180
\mathnet{http://mi.mathnet.ru/pmtf1190}
\elib{https://elibrary.ru/item.asp?id=19413797}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2013
\vol 54
\issue 3
\pages 491--499
\crossref{https://doi.org/10.1134/S0021894413030206}
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  • https://www.mathnet.ru/eng/pmtf/v54/i3/p170
    • This publication is cited in the following 1 articles:
    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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