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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2008, Volume 49, Issue 5, Pages 153–168 (Mi pmtf1959)  
This article is cited in 2 scientific papers (total in 2 papers)

Differentiation of energy functionals in the problem of a curvilinear crack in a plate with a possible contact of the crack faces

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 (329 kB) Citations (2)
Abstract: A problem of equilibrium of a cracked plate is considered within the framework of the Kirchhoff–Love model. Non-penetration conditions in the form of inequalities (Signorini-type conditions) are set on the crack faces. The behavior of the energy functional is studied for the case of a rather smooth perturbation of the domain of the general form. Sufficient conditions for the existence of the energy functional derivative with respect to the parameter of domain perturbation are derived.
Keywords: elasticity, crack, Griffith criterion, variational inequality, energy functional derivative, non-smooth domain.
Received: 20.03.2007
Accepted: 07.02.2008
English version:
Journal of Applied Mechanics and Technical Physics, 2008, Volume 49, Issue 5, Pages 832–845
DOI: https://doi.org/10.1007/s10808-008-0103-6
Bibliographic databases:
Document Type: Article
UDC: 539.375
Language: Russian
Citation: E.M. Rudoy, “Differentiation of energy functionals in the problem of a curvilinear crack in a plate with a possible contact of the crack faces”, Prikl. Mekh. Tekh. Fiz., 49:5 (2008), 153–168; J. Appl. Mech. Tech. Phys., 49:5 (2008), 832–845
Citation in format AMSBIB
\Bibitem{Rud08}
\by E.M.~Rudoy
\paper Differentiation of energy functionals in the problem of a curvilinear crack in a plate with a possible contact of the crack faces
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2008
\vol 49
\issue 5
\pages 153--168
\mathnet{http://mi.mathnet.ru/pmtf1959}
\elib{https://elibrary.ru/item.asp?id=19062396}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2008
\vol 49
\issue 5
\pages 832--845
\crossref{https://doi.org/10.1007/s10808-008-0103-6}
Linking options:
  • https://www.mathnet.ru/eng/pmtf1959
  • https://www.mathnet.ru/eng/pmtf/v49/i5/p153
    • This publication is cited in the following 2 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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