Sibirskii Zhurnal Industrial'noi Matematiki
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


Sib. Zh. Ind. Mat.:
Year:
Volume:
Issue:
Page:
Find




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

Sibirskii Zhurnal Industrial'noi Matematiki, 2011, Volume 14, Number 1, Pages 114–126 (Mi sjim656)  
This article is cited in 28 scientific papers (total in 28 papers)

On bending an elastic plate with a delaminated thin rigid inclusion

A. M. Khludnevab

a Lavrent'ev Institute of Hydrodynamics SB RAS, Novosibirsk, RUSSIA
b Novosibirsk State University, Novosibirsk, RUSSIA
Full-text PDF (290 kB) Citations (28)
References:
PDF
HTML
Abstract: Under study is the problem of bending an elastic plate with a thin rigid inclusion which may delaminate and form a crack. We find a system of boundary conditions valid on the faces of the crack and prove the existence of a solution. The problem of bending a plate with a volume rigid inclusion is also considered. We establish the convergence of solutions of this problem to a solution to the original problem as the size of the volume rigid inclusion tends to zero.
Keywords: plate, bending, rigid inclusion, crack, delamination.
Received: 30.03.2010
English version:
Journal of Applied and Industrial Mathematics, 2011, Volume 5, Issue 4, Pages 582–594
DOI: https://doi.org/10.1134/S1990478911040132
Bibliographic databases:
Document Type: Article
UDC: 539.3+517.958
Language: Russian
Citation: A. M. Khludnev, “On bending an elastic plate with a delaminated thin rigid inclusion”, Sib. Zh. Ind. Mat., 14:1 (2011), 114–126; J. Appl. Industr. Math., 5:4 (2011), 582–594
Citation in format AMSBIB
\Bibitem{Khl11}
\by A.~M.~Khludnev
\paper On bending an elastic plate with a~delaminated thin rigid inclusion
\jour Sib. Zh. Ind. Mat.
\yr 2011
\vol 14
\issue 1
\pages 114--126
\mathnet{http://mi.mathnet.ru/sjim656}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2951449}
\transl
\jour J. Appl. Industr. Math.
\yr 2011
\vol 5
\issue 4
\pages 582--594
\crossref{https://doi.org/10.1134/S1990478911040132}
Linking options:
  • https://www.mathnet.ru/eng/sjim656
  • https://www.mathnet.ru/eng/sjim/v14/i1/p114
    • This publication is cited in the following 28 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский журнал индустриальной математики
    Statistics & downloads:
    Abstract page:708
    Full-text PDF :255
    References:80
    First page:14
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024