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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2004, Volume 45, Issue 6, Pages 83–94 (Mi pmtf2444)  
This article is cited in 22 scientific papers (total in 22 papers)

Differentiation of energy functionals in two-dimensional elasticity theory for solids with curvilinear cracks

E.M. Rudoy

Lavrent'ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, Novosibirsk, 630090, Russia
Full-text PDF (265 kB) Citations (22)
Abstract: This paper considers the equations of two-dimensional elasticity theory in nonsmooth domains. The domains contain curvilinear cracks of variable length. On the crack faces, conditions are specified in the form of inequalities describing mutual nonpenetration of the crack faces. It is proved that the solutions of equilibrium problems with a perturbed crack converge to the solution of the equilibrium problem with an unperturbed crack in the corresponding space. The derivative of the energy functional with respect to the length of a curvilinear crack is obtained.
Keywords: elasticity, crack, Griffiths criterion, variational inequality, derivative of energy functional, nonsmooth domain.
Received: 12.01.2004
Accepted: 09.03.2004
English version:
Journal of Applied Mechanics and Technical Physics, 2004, Volume 45, Issue 6, Pages 843–852
DOI: https://doi.org/10.1023/B:JAMT.0000046033.10086.86
Bibliographic databases:
Document Type: Article
UDC: 539.375
Language: Russian
Citation: E.M. Rudoy, “Differentiation of energy functionals in two-dimensional elasticity theory for solids with curvilinear cracks”, Prikl. Mekh. Tekh. Fiz., 45:6 (2004), 83–94; J. Appl. Mech. Tech. Phys., 45:6 (2004), 843–852
Citation in format AMSBIB
\Bibitem{Rud04}
\by E.M.~Rudoy
\paper Differentiation of energy functionals in two-dimensional elasticity theory for solids with curvilinear cracks
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2004
\vol 45
\issue 6
\pages 83--94
\mathnet{http://mi.mathnet.ru/pmtf2444}
\elib{https://elibrary.ru/item.asp?id=17249383}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2004
\vol 45
\issue 6
\pages 843--852
\crossref{https://doi.org/10.1023/B:JAMT.0000046033.10086.86}
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    • This publication is cited in the following 22 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Prikladnaya Mekhanika i Tekhnicheskaya Fizika Prikladnaya Mekhanika i Tekhnicheskaya Fizika
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