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Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya Matematika, Mekhanika, Informatika, 2012, Volume 12, Issue 2, Pages 108–122 (Mi vngu123)  
This article is cited in 3 scientific papers (total in 3 papers)

Shape sensitivity analysis of the energy integrals for the bodies with rigid inclusions and cracks under nonpenetration condition

E. M. Rudoyab

a Lavrent'ev Institute of Hydrodynamics, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
Full-text PDF (283 kB) Citations (3)
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Abstract: We consider the boundary value problem for equations of the 2D-elasticity theory defined in a domain with a cut. The nonpenetration conditions are fulfilled on the boundary. Moreover we assume that the solution of the problem belongs to the space of rigid displacement on a part of the domain. The shape derivative of the energy functional is obtained.
Keywords: crack, rigid inclusion, shape derivative, nonsmooth domain, nonpenetration condition.
Received: 03.02.2012
English version:
Journal of Mathematical Sciences, 2014, Volume 198, Issue 5, Pages 608–620
DOI: https://doi.org/10.1007/s10958-014-1812-4
Document Type: Article
UDC: 539.375
Language: Russian
Citation: E. M. Rudoy, “Shape sensitivity analysis of the energy integrals for the bodies with rigid inclusions and cracks under nonpenetration condition”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 12:2 (2012), 108–122; J. Math. Sci., 198:5 (2014), 608–620
Citation in format AMSBIB
\Bibitem{Rud12}
\by E.~M.~Rudoy
\paper Shape sensitivity analysis of the energy integrals for the bodies with rigid inclusions and cracks under nonpenetration condition
\jour Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform.
\yr 2012
\vol 12
\issue 2
\pages 108--122
\mathnet{http://mi.mathnet.ru/vngu123}
\transl
\jour J. Math. Sci.
\yr 2014
\vol 198
\issue 5
\pages 608--620
\crossref{https://doi.org/10.1007/s10958-014-1812-4}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Вестник Новосибирского государственного университета. Серия: математика, механика, информатика
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