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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2005, Volume 46, Issue 4, Pages 98–108 (Mi pmtf2286)  
This article is cited in 2 scientific papers (total in 2 papers)

Modeling of nonlinear antiplane strain of a cylindrical body

V. D. Bondar'

Novosibirsk State University, Novosibirsk, 630090, Russia
Full-text PDF (189 kB) Citations (2)
Abstract: Antiplane strain of an elastic cylindrical body is studied with allowance for geometrical and physical nonlinearities and potential forces. The nonlinear boundary-value problem for two independent strains is solved. An analytical solution and the corresponding load are obtained for the Rivlin–Saunders quadratic elastic potential, which models finite elastic strains. The problem for displacements specified on the boundary is solved. The case of weak physical nonlinearity is considered.
Keywords: displacement, strains, stresses, potential, nonlinearity, boundary-value problem, analytical solution.
Received: 29.11.2004
English version:
Journal of Applied Mechanics and Technical Physics, 2005, Volume 46, Issue 4, Pages 539–548
DOI: https://doi.org/10.1007/s10808-005-0106-5
Bibliographic databases:
Document Type: Article
UDC: 539.3
Language: Russian
Citation: V. D. Bondar', “Modeling of nonlinear antiplane strain of a cylindrical body”, Prikl. Mekh. Tekh. Fiz., 46:4 (2005), 98–108; J. Appl. Mech. Tech. Phys., 46:4 (2005), 539–548
Citation in format AMSBIB
\Bibitem{Bon05}
\by V.~D.~Bondar'
\paper Modeling of nonlinear antiplane strain of a cylindrical body
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2005
\vol 46
\issue 4
\pages 98--108
\mathnet{http://mi.mathnet.ru/pmtf2286}
\elib{https://elibrary.ru/item.asp?id=15175950}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2005
\vol 46
\issue 4
\pages 539--548
\crossref{https://doi.org/10.1007/s10808-005-0106-5}
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  • https://www.mathnet.ru/eng/pmtf2286
  • https://www.mathnet.ru/eng/pmtf/v46/i4/p98
    • This publication is cited in the following 2 articles:
    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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