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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2006, Volume 47, Issue 6, Pages 93–101 (Mi pmtf2210)  
This article is cited in 2 scientific papers (total in 2 papers)

Antiplane strain in a nonlinearly elastic incompressible body

B. D. Annina, V. D. Bondar'b

a Lavrent’ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, Novosibirsk, 630090
b Novosibirsk State University, Novosibirsk, 630090
Full-text PDF (188 kB) Citations (2)
Abstract: The stress-strain state of an incompressible cylindrical elastic body with antiplane strain under the action of potential forces and surface loading constant along the body is considered in a nonlinear formulation in actual variables. The stresses are expressed via the pressure and independent strains, the pressure is expressed via the force and elastic potentials, and nonlinear boundary-value problems are posed for strains (and displacements). Various methods for solving these problems are developed. For the nonlinear equations obtained, some analytical solutions containing free parameters are given, which can be used as a basis for solving particular problems.
Keywords: stresses, strains, displacement, potential, nonlinear problem, Legendre transform, strain plane.
Received: 26.12.2005
English version:
Journal of Applied Mechanics and Technical Physics, 2006, Volume 47, Issue 6, Pages 849–856
DOI: https://doi.org/10.1007/s10808-006-0124-y
Bibliographic databases:
Document Type: Article
UDC: 539.3
Language: Russian
Citation: B. D. Annin, V. D. Bondar', “Antiplane strain in a nonlinearly elastic incompressible body”, Prikl. Mekh. Tekh. Fiz., 47:6 (2006), 93–101; J. Appl. Mech. Tech. Phys., 47:6 (2006), 849–856
Citation in format AMSBIB
\Bibitem{AnnBon06}
\by B.~D.~Annin, V.~D.~Bondar'
\paper Antiplane strain in a nonlinearly elastic incompressible body
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2006
\vol 47
\issue 6
\pages 93--101
\mathnet{http://mi.mathnet.ru/pmtf2210}
\elib{https://elibrary.ru/item.asp?id=16515942}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2006
\vol 47
\issue 6
\pages 849--856
\crossref{https://doi.org/10.1007/s10808-006-0124-y}
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  • https://www.mathnet.ru/eng/pmtf/v47/i6/p93
    • 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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