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Sibirskii Zhurnal Industrial'noi Matematiki, 2012, Volume 15, Number 1, Pages 99–109 (Mi sjim714)  
This article is cited in 11 scientific papers (total in 11 papers)

Invariant integrals in the plane elasticity problem for bodies with rigid inclusions and cracks

E. M. Rudoĭab

a Lavrent'ev Institute of Hydrodynamics SB RAS, Novosibirsk, RUSSIA
b Novosibirsk State University, Novosibirsk, RUSSIA
Full-text PDF (266 kB) Citations (11)
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Abstract: We consider the plane elasticity problem for a body with a rigid inclusion and a crack along the boundary between the elastic matrix and rigid inclusion. We show that this problem possesses $J$- and $M$-invariant integrals. In particular, we construct an invariant integral of Cherepanov–Rice type for straight cracks.
Keywords: invariant integrals, rigid inclusion, crack, derivative of the energy functional, Cherepanov–Rice integral.
Received: 21.01.2011
English version:
Journal of Applied and Industrial Mathematics, 2012, Volume 6, Issue 3, Pages 371–380
DOI: https://doi.org/10.1134/S199047891203012X
Bibliographic databases:
Document Type: Article
UDC: 539.375
Language: Russian
Citation: E. M. Rudoǐ, “Invariant integrals in the plane elasticity problem for bodies with rigid inclusions and cracks”, Sib. Zh. Ind. Mat., 15:1 (2012), 99–109; J. Appl. Industr. Math., 6:3 (2012), 371–380
Citation in format AMSBIB
\Bibitem{Rud12}
\by E.~M.~Rudo{\v\i}
\paper Invariant integrals in the plane elasticity problem for bodies with rigid inclusions and cracks
\jour Sib. Zh. Ind. Mat.
\yr 2012
\vol 15
\issue 1
\pages 99--109
\mathnet{http://mi.mathnet.ru/sjim714}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3112337}
\transl
\jour J. Appl. Industr. Math.
\yr 2012
\vol 6
\issue 3
\pages 371--380
\crossref{https://doi.org/10.1134/S199047891203012X}
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    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский журнал индустриальной математики
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