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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2007, Volume 48, Issue 6, Pages 124–134 (Mi pmtf2100)  
This article is cited in 1 scientific paper (total in 1 paper)

Model of bending of a hydrostatically compressed shell near its stability threshold

V. V. Kiselev, D. V. Dolgikh

Institute of Metal Physics, Ural Division, Russian Academy of Sciences, Ekaterinburg, 620219
Full-text PDF (254 kB) Citations (1)
Abstract: A simplified model of bending dynamics of a hydrostatically compressed thin shell near the threshold of stability of its form is constructed within the framework of the nonlinear theory of elasticity. Conditions of existence and explicit expressions for spatially localized perturbations and patterns composed of dents on the shell surface, which are “precursors” of subsequent changes in the shell form, are found.
Keywords: shell, nonlinear elasticity, stability, soliton.
Received: 17.10.2006
Accepted: 08.12.2006
English version:
Journal of Applied Mechanics and Technical Physics, 2007, Volume 48, Issue 6, Pages 878–886
DOI: https://doi.org/10.1007/s10808-007-0112-x
Bibliographic databases:
Document Type: Article
UDC: 539.3:534.113
Language: Russian
Citation: V. V. Kiselev, D. V. Dolgikh, “Model of bending of a hydrostatically compressed shell near its stability threshold”, Prikl. Mekh. Tekh. Fiz., 48:6 (2007), 124–134; J. Appl. Mech. Tech. Phys., 48:6 (2007), 878–886
Citation in format AMSBIB
\Bibitem{KisDol07}
\by V.~V.~Kiselev, D.~V.~Dolgikh
\paper Model of bending of a hydrostatically compressed shell near its stability threshold
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2007
\vol 48
\issue 6
\pages 124--134
\mathnet{http://mi.mathnet.ru/pmtf2100}
\elib{https://elibrary.ru/item.asp?id=17425768}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2007
\vol 48
\issue 6
\pages 878--886
\crossref{https://doi.org/10.1007/s10808-007-0112-x}
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  • https://www.mathnet.ru/eng/pmtf/v48/i6/p124
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Prikladnaya Mekhanika i Tekhnicheskaya Fizika Prikladnaya Mekhanika i Tekhnicheskaya Fizika
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