Izvestiya: Mathematics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Izv. RAN. Ser. Mat.:
Year:
Volume:
Issue:
Page:
Find




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

Izvestiya: Mathematics, 2002, Volume 66, Issue 2, Pages 299–365
DOI: https://doi.org/10.1070/IM2002v066n02ABEH000380 (Mi im380) 		 
This article is cited in 117 scientific papers (total in 117 papers)

Homogenization of elasticity problems on singular structures

V. V. Zhikov

Vladimir State Pedagogical University
English version PDF (634 kB) Citations (117)
References:
PDF
HTML
DOI: https://doi.org/10.1070/IM2002v066n02ABEH000380
Abstract: We consider homogenization theory on periodic networks, junctions and more general singular objects. We show that the homogenized problem typically has a “non-classical” character. This fact is a distinctive feature of homogenization of elasticity problems in contrast to scalar problems.
We investigate the properties of Sobolev spaces for various singular structures, prove a non-classical homogenization principle for singular periodic structures of general type and describe a “scaling effect” for model problems with two small geometrical parameters.
Received: 23.11.2000
Revised: 10.09.2001
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2002, Volume 66, Issue 2, Pages 81–148
DOI: https://doi.org/10.4213/im380
Bibliographic databases:
UDC: 517.9
MSC: 35B27
Language: English
Original paper language: Russian
Citation: V. V. Zhikov, “Homogenization of elasticity problems on singular structures”, Izv. RAN. Ser. Mat., 66:2 (2002), 81–148; Izv. Math., 66:2 (2002), 299–365
Citation in format AMSBIB
\Bibitem{Zhi02}
\by V.~V.~Zhikov
\paper Homogenization of elasticity problems on singular structures
\jour Izv. RAN. Ser. Mat.
\yr 2002
\vol 66
\issue 2
\pages 81--148
\mathnet{http://mi.mathnet.ru/im380}
\crossref{https://doi.org/10.4213/im380}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1918845}
\zmath{https://zbmath.org/?q=an:1043.35031}
\elib{https://elibrary.ru/item.asp?id=13802991}
\transl
\jour Izv. Math.
\yr 2002
\vol 66
\issue 2
\pages 299--365
\crossref{https://doi.org/10.1070/IM2002v066n02ABEH000380}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33748487201}
Linking options:
  • https://www.mathnet.ru/eng/im380
  • https://doi.org/10.1070/IM2002v066n02ABEH000380
  • https://www.mathnet.ru/eng/im/v66/i2/p81
    • This publication is cited in the following 117 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:1282
    Russian version PDF:551
    English version PDF:35
    References:84
    First page:3
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024