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Sibirskii Matematicheskii Zhurnal, 2005, Volume 46, Number 4, Pages 876–889 (Mi smj1011)  

This article is cited in 7 scientific papers (total in 7 papers)

Korn's inequalities for junctions of elastic bodies with thin plates

S. A. Nazarov

Institute of Problems of Mechanical Engineering, Russian Academy of Sciences
Full-text PDF (256 kB) Citations (7)
References:
Abstract: We prove the anisotropic Korn inequalities for an elastic junction of a massive body with thin plates clamped along parts of the lateral surfaces. The distribution of the weight factors in the norms under consideration depends essentially on the disposition of the plates, the way they are clamped to the body, and their relative rigidity (as compared with the body).
Keywords: weighted Korn space, junction of thin elastic bodies, multistructure.
Received: 17.09.2004
English version:
Siberian Mathematical Journal, 2005, Volume 46, Issue 4, Pages 695–706
DOI: https://doi.org/10.1007/s11202-005-0070-6
Bibliographic databases:
UDC: 517.946
Language: Russian
Citation: S. A. Nazarov, “Korn's inequalities for junctions of elastic bodies with thin plates”, Sibirsk. Mat. Zh., 46:4 (2005), 876–889; Siberian Math. J., 46:4 (2005), 695–706
Citation in format AMSBIB
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\paper Korn's inequalities for junctions of elastic bodies with thin plates
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\vol 46
\issue 4
\pages 876--889
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\transl
\jour Siberian Math. J.
\yr 2005
\vol 46
\issue 4
\pages 695--706
\crossref{https://doi.org/10.1007/s11202-005-0070-6}
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Linking options:
  • https://www.mathnet.ru/eng/smj1011
  • https://www.mathnet.ru/eng/smj/v46/i4/p876
  • This publication is cited in the following 7 articles:
    1. Ljulj M., Tambaca J., “3D Structure-2D Plate Interaction Model”, Math. Mech. Solids, 24:10 (2019), 3354–3377  crossref  mathscinet  isi  scopus
    2. Harutyunyan D., Mikayelyan H., “Weighted Asymptotic Korn and Interpolation Korn Inequalities With Singular Weights”, Proc. Amer. Math. Soc., 147:8 (2019), 3635–3647  crossref  mathscinet  zmath  isi  scopus
    3. Harutyunyan D., “Sharp Weighted Korn and Korn-Like Inequalities and An Application to Washers”, J. Elast., 127:1 (2017), 59–77  crossref  mathscinet  zmath  isi  scopus
    4. Grabovsky Yu. Harutyunyan D., “Exact Scaling Exponents in Korn and Korn-Type Inequalities For Cylindrical Shells”, SIAM J. Math. Anal., 46:5 (2014), 3277–3295  crossref  mathscinet  zmath  isi  elib  scopus
    5. S. A. Nazarov, “Korn inequalities for elastic junctions of massive bodies, thin plates, and rods”, Russian Math. Surveys, 63:1 (2008), 35–107  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib
    6. O. V. Izotova, S. A. Nazarov, G. H. Sweers, “Asymptotically sharp weight Korn's inequality for thin-walled elastic structures”, J Math Sci, 150:1 (2008), 1807  crossref
    7. Izotova OV, Nazarov SA, Sweers GH, “Weighted Korn inequalities for thin-walled elastic structures”, Comptes Rendus Mecanique, 334:12 (2006), 707–712  crossref  mathscinet  adsnasa  isi  elib  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Сибирский математический журнал Siberian Mathematical Journal
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