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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2012, Volume 53, Issue 2, Pages 128–136 (Mi pmtf1352)  
This article is cited in 1 scientific paper (total in 1 paper)

Nonlinear spatial bending of shear-deformable curvilinear rods

S. V. Levyakov

Novosibirsk State Technical University, Novosibirsk, 630092, Russia
Full-text PDF (281 kB) Citations (1)
Abstract: A finite element is proposed for analyzing nonlinear deformation and stability of three-dimensional rods at arbitrarily large elastic displacements. Timoshenko’s model is used for taking transverse shear strains into account. The accuracy and convergence of numerical solutions are studied by an example of problems of nonlinear bending of curvilinear rods.
Keywords: three-dimensional rod, geometric nonlinearity, transverse shear strain, finite element.
Received: 11.04.2011
Accepted: 21.07.2011
English version:
Journal of Applied Mechanics and Technical Physics, 2012, Volume 53, Issue 2, Pages 258–265
DOI: https://doi.org/10.1134/S0021894412020149
Bibliographic databases:
Document Type: Article
UDC: 539.3
Language: Russian
Citation: S. V. Levyakov, “Nonlinear spatial bending of shear-deformable curvilinear rods”, Prikl. Mekh. Tekh. Fiz., 53:2 (2012), 128–136; J. Appl. Mech. Tech. Phys., 53:2 (2012), 258–265
Citation in format AMSBIB
\Bibitem{Lev12}
\by S.~V.~Levyakov
\paper Nonlinear spatial bending of shear-deformable curvilinear rods
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2012
\vol 53
\issue 2
\pages 128--136
\mathnet{http://mi.mathnet.ru/pmtf1352}
\elib{https://elibrary.ru/item.asp?id=17651509}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2012
\vol 53
\issue 2
\pages 258--265
\crossref{https://doi.org/10.1134/S0021894412020149}
Linking options:
  • https://www.mathnet.ru/eng/pmtf1352
  • https://www.mathnet.ru/eng/pmtf/v53/i2/p128
    • This publication is cited in the following 1 articles:
    1. Ali M. Mansour, Radek Gabbasov, Vladimir Filatov, S. Jemioło, A. Zbiciak, M. Mitew-Czajewska, M. Krzemiński, M. Gajewski, “A numerical solution for geometrically nonlinear bending plates problems subjected to local-loads”, MATEC Web Conf., 117 (2017), 00115  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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