Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Zh. Vychisl. Mat. Mat. Fiz.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2018, Volume 58, Number 10, Pages 1714–1727
DOI: https://doi.org/10.31857/S004446690003590-0 (Mi zvmmf10797) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Equilibrium of an elastic body with closely spaced thin inclusions

A. M. Khludnevab

a Lavrentiev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
Citations (2)
References:
PDF
HTML
DOI: https://doi.org/10.31857/S004446690003590-0
Abstract: Problems with unknown boundaries describing an equilibrium of two-dimensional elastic bodies with two thin closely spaced inclusions are considered. The inclusions are in contact with each other, which means that there is a crack between them. On the crack faces, nonlinear boundary conditions of the inequality type that prevent the interpenetration of the faces are set. The unique solvability of the problems is proved. The passages to the limit as the stiffness parameter of thin inclusions tends to infinity are studied, and limiting models are analyzed.
Key words: thin inclusion, crack, boundary conditions of mutual nonpenetration, stiffness of inclusion, limiting models.
Received: 13.02.2017
English version:
Computational Mathematics and Mathematical Physics, 2018, Volume 58, Issue 10, Pages 1660–1672
DOI: https://doi.org/10.1134/S096554251810007X
Bibliographic databases:
Document Type: Article
UDC: 517.958+539.3
Language: Russian
Citation: A. M. Khludnev, “Equilibrium of an elastic body with closely spaced thin inclusions”, Zh. Vychisl. Mat. Mat. Fiz., 58:10 (2018), 1714–1727; Comput. Math. Math. Phys., 58:10 (2018), 1660–1672
Citation in format AMSBIB
\Bibitem{Khl18}
\by A.~M.~Khludnev
\paper Equilibrium of an elastic body with closely spaced thin inclusions
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2018
\vol 58
\issue 10
\pages 1714--1727
\mathnet{http://mi.mathnet.ru/zvmmf10797}
\crossref{https://doi.org/10.31857/S004446690003590-0}
\elib{https://elibrary.ru/item.asp?id=36715796}
\transl
\jour Comput. Math. Math. Phys.
\yr 2018
\vol 58
\issue 10
\pages 1660--1672
\crossref{https://doi.org/10.1134/S096554251810007X}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000449497100011}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85056094539}
Linking options:
  • https://www.mathnet.ru/eng/zvmmf10797
  • https://www.mathnet.ru/eng/zvmmf/v58/i10/p1714
    • 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
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
    Statistics & downloads:
    Abstract page:161
    References:32
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024