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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2002, Volume 43, Issue 1, Pages 160–167 (Mi pmtf2593)  
This article is cited in 3 scientific papers (total in 3 papers)

Linearized equations of nonlinear elastic deformation of thin plates

A. E. Alekseev

Lavrent'ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, Novosibirsk, 630090
Full-text PDF (192 kB) Citations (3)
Abstract: A linearized system of equations governing elastic deformation of a thin plate with arbitrary boundary conditions at its faces in an arbitrary curvilinear coordinate system is proposed. This system of equations is the first approximation of a one-parameter sequence of equations of two-dimensional problems obtained from the initial three-dimensional problem by approximating unknown functions by truncated series in Legendre polynomials. The stability problem of an infinite plate compressed uniaxially is solved. The results obtained are compared with the existing solutions.
Received: 17.08.2001
Accepted: 29.10.2001
English version:
Journal of Applied Mechanics and Technical Physics, 2002, Volume 43, Issue 1, Pages 133–139
DOI: https://doi.org/10.1023/A:1013982732600
Bibliographic databases:
Document Type: Article
UDC: 539.3; 534.1
Language: Russian
Citation: A. E. Alekseev, “Linearized equations of nonlinear elastic deformation of thin plates”, Prikl. Mekh. Tekh. Fiz., 43:1 (2002), 160–167; J. Appl. Mech. Tech. Phys., 43:1 (2002), 133–139
Citation in format AMSBIB
\Bibitem{Ale02}
\by A.~E.~Alekseev
\paper Linearized equations of nonlinear elastic deformation of thin plates
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2002
\vol 43
\issue 1
\pages 160--167
\mathnet{http://mi.mathnet.ru/pmtf2593}
\elib{https://elibrary.ru/item.asp?id=17274633}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2002
\vol 43
\issue 1
\pages 133--139
\crossref{https://doi.org/10.1023/A:1013982732600}
Linking options:
  • https://www.mathnet.ru/eng/pmtf2593
  • https://www.mathnet.ru/eng/pmtf/v43/i1/p160
    • This publication is cited in the following 3 articles:
    1. A. E. Alekseev, “The effect of transverse pressure on the stability of a plate”, J. Appl. Mech. Tech. Phys., 46:2 (2005), 291–298  mathnet  mathnet  crossref
    2. A. E. Alekseev, “The effect of transverse pressure on the stability of a plate”, J Appl Mech Tech Phys, 46:2 (2005), 291  crossref
    3. V. M. El'kin, V. N. Mikhailov, T. Yu. Mikhailova, “Numerical simulation of plastic-flow localization for simple shear”, J. Appl. Mech. Tech. Phys., 46:1 (2005), 141–147  mathnet  mathnet  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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