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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2014, Volume 55, Issue 1, Pages 27–39 (Mi pmtf1098)  
This article is cited in 1 scientific paper (total in 1 paper)

Elastoplastic antiplane strain in an incompressible body

V. D. Bondar'

Novosibirsk State University, Novosibirsk, 630090, Russia
Full-text PDF (201 kB) Citations (1)
Abstract: Antiplane strain in an incompressible cylindrical body is studied within the framework of a nonlinear model. The system of equations is reduced to a second-order nonlinear equation for the displacement. It is shown that the type of the equation is determined by the strain potential and can be mixed. An example of the strain in a hollow elliptic cylinder is considered, for which a displacement of the screw dislocation type is found and the corresponding stresses and load are studied.
Keywords: antiplane strain, boundary-value problem, type of the equation, load, Legendre transform, nonlinearity.
Received: 29.07.2013
English version:
Journal of Applied Mechanics and Technical Physics, 2014, Volume 55, Issue 1, Pages 19–29
DOI: https://doi.org/10.1134/S0021894414010040
Bibliographic databases:
Document Type: Article
UDC: 539.3
Language: Russian
Citation: V. D. Bondar', “Elastoplastic antiplane strain in an incompressible body”, Prikl. Mekh. Tekh. Fiz., 55:1 (2014), 27–39; J. Appl. Mech. Tech. Phys., 55:1 (2014), 19–29
Citation in format AMSBIB
\Bibitem{Bon14}
\by V.~D.~Bondar'
\paper Elastoplastic antiplane strain in an incompressible body
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2014
\vol 55
\issue 1
\pages 27--39
\mathnet{http://mi.mathnet.ru/pmtf1098}
\elib{https://elibrary.ru/item.asp?id=21903137}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2014
\vol 55
\issue 1
\pages 19--29
\crossref{https://doi.org/10.1134/S0021894414010040}
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  • https://www.mathnet.ru/eng/pmtf/v55/i1/p27
    • This publication is cited in the following 1 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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