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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2013, Volume 54, Issue 3, Pages 166–169 (Mi pmtf1189)  
This article is cited in 1 scientific paper (total in 1 paper)

Stress distribution instability in the plane problem of the theory of elasticity of heterogeneous bodies

M. N. Kirsanov

Moscow Power Engineering Institute (Technical University), Moscow, 111250, Russia
Full-text PDF (176 kB) Citations (1)
Abstract: A possibility of degeneration of relationships between stresses and their derivatives with respect to the coordinates in the plane problem of the elasticity theory is considered. For particular dependences of the parameters of elasticity on coordinates, curves are given, for which degeneration conditions are satisfied. It is shown that even a small inhomogeneity of the medium causes stress instability.
Keywords: instability, plane problem of the elasticity theory, inhomogeneous medium.
Received: 24.02.2012
Revised: 13.12.2012
English version:
Journal of Applied Mechanics and Technical Physics, 2013, Volume 54, Issue 3, Pages 487–490
DOI: https://doi.org/10.1134/S002189441303019X
Bibliographic databases:
Document Type: Article
UDC: 539.32
Language: Russian
Citation: M. N. Kirsanov, “Stress distribution instability in the plane problem of the theory of elasticity of heterogeneous bodies”, Prikl. Mekh. Tekh. Fiz., 54:3 (2013), 166–169; J. Appl. Mech. Tech. Phys., 54:3 (2013), 487–490
Citation in format AMSBIB
\Bibitem{Kir13}
\by M.~N.~Kirsanov
\paper Stress distribution instability in the plane problem of the theory of elasticity of heterogeneous bodies
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2013
\vol 54
\issue 3
\pages 166--169
\mathnet{http://mi.mathnet.ru/pmtf1189}
\elib{https://elibrary.ru/item.asp?id=19413796}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2013
\vol 54
\issue 3
\pages 487--490
\crossref{https://doi.org/10.1134/S002189441303019X}
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  • https://www.mathnet.ru/eng/pmtf1189
  • https://www.mathnet.ru/eng/pmtf/v54/i3/p166
    • This publication is cited in the following 1 articles:
    1. Mikhail N. Kirsanov, “The analysis of the degenerate case of oscillations of a mechanical system”, Math Methods in App Sciences, 39:15 (2016), 4545  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Prikladnaya Mekhanika i Tekhnicheskaya Fizika Prikladnaya Mekhanika i Tekhnicheskaya Fizika
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