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Sibirskii Zhurnal Industrial'noi Matematiki, 2017, Volume 20, Number 2, Pages 59–70
DOI: https://doi.org/10.17377/sibjim.2017.20.207 (Mi sjim959) 		 
This article is cited in 4 scientific papers (total in 4 papers)

The derivative of the energy functional in an equilibrium problem for a Timoshenko plate with a crack on the boundary of an elastic inclusion

N. V. Neustroevaab, N. P. Lazarevc

a North-Eastern Federal University (NEFU), Institute of Mathematics and Informatics, Kulakovskogo str., 48, 677000 Yakutsk
b Lavrentyev Institute of Hydrodynamics SB RAS, Acad. Lavrentyev ave., 15, 630090 Novosibirsk
c North-Eastern Federal University (NEFU), Scientific Research Institute of Mathematics, Kulakovskogo str., 48, 677000 Yakutsk
Full-text PDF (293 kB) Citations (4)
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DOI: https://doi.org/10.17377/sibjim.2017.20.207
Abstract: We consider an equilibrium of a composite plate containing a through vertical crack of variable length on the separation boundary between the matrix and the elastic inclusion. The deformation of the matrix is described by the Timoshenko model, and the deformation of the elastic inclusion is described by the Kirchhoff–Love model. We obtain a formula for the derivative of the energy functional with respect to the crack length.
Keywords: plate, crack, nopenetration condition, elastic inclusion, derivative of the energy functional.
Funding agency Grant number
Russian Science Foundation 15-11-10000
Received: 29.03.2016
English version:
Journal of Applied and Industrial Mathematics, 2017, Volume 11, Issue 2, Pages 252–262
DOI: https://doi.org/10.1134/S1990478917020119
Bibliographic databases:
Document Type: Article
UDC: 539.375
Language: Russian
Citation: N. V. Neustroeva, N. P. Lazarev, “The derivative of the energy functional in an equilibrium problem for a Timoshenko plate with a crack on the boundary of an elastic inclusion”, Sib. Zh. Ind. Mat., 20:2 (2017), 59–70; J. Appl. Industr. Math., 11:2 (2017), 252–262
Citation in format AMSBIB
\Bibitem{NeuLaz17}
\by N.~V.~Neustroeva, N.~P.~Lazarev
\paper The derivative of the energy functional in an equilibrium problem for a~Timoshenko plate with a~crack on the boundary of an elastic inclusion
\jour Sib. Zh. Ind. Mat.
\yr 2017
\vol 20
\issue 2
\pages 59--70
\mathnet{http://mi.mathnet.ru/sjim959}
\crossref{https://doi.org/10.17377/sibjim.2017.20.207}
\elib{https://elibrary.ru/item.asp?id=29116862}
\transl
\jour J. Appl. Industr. Math.
\yr 2017
\vol 11
\issue 2
\pages 252--262
\crossref{https://doi.org/10.1134/S1990478917020119}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85019728973}
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  • https://www.mathnet.ru/eng/sjim959
  • https://www.mathnet.ru/eng/sjim/v20/i2/p59
    • This publication is cited in the following 4 articles:
    1. N. P. Lazarev, G. M. Semenova, “Equilibrium problem for a Timoshenko plate with a geometrically nonlinear condition of nonpenetration for a vertical crack”, J. Appl. Industr. Math., 14:3 (2020), 532–540  mathnet  crossref  crossref  elib
    2. Tatiana S. Popova, “On numerical solving of junction problem for semirigid and Timoshenko inclusions in elastic body”, Procedia Structural Integrity, 30 (2020), 113  crossref
    3. V. A. Krysko, J. Awrejcewicz, I. V. Papkova, O. A. Saltykova, A. V. Krysko, “Chaotic contact dynamics of two microbeams under various kinematic hypotheses”, Int. J. Nonlinear Sci. Numer. Simul., 20:3-4 (2019), 373–386  crossref  mathscinet  zmath  isi  scopus
    4. T. S. Popova, “Problems on thin inclusions in a two-dimensional viscoelastic body”, J. Appl. Industr. Math., 12:2 (2018), 313–324  mathnet  crossref  crossref  elib  elib
    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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