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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2000, Volume 41, Issue 2, Pages 188–193 (Mi pmtf2918)  
This article is cited in 5 scientific papers (total in 5 papers)

Specific features of the nonlinearly elastic behavior of cylindrical compressible bodies in torsion

T. V. Gavrilyachenkoa, M. I. Karyakinb

a Rostov State Construction University, Rostov-on-Don 344022
b Rostov State University, Rostov-on-Don 344090
Full-text PDF (213 kB) Citations (5)
Abstract: The torsion problem of a cylinder with a circular transverse cross section twisted by end moments that are equal in magnitude and opposite in direction is considered for various models of nonlinearly elastic compressible media. The problem is solved by the semi-inverse method of elasticity theory. The Poynting effect, which consists of variation in the length of a shaft in torsion, is treated qualitatively and quantitatively. The results of the numerical and asymptotic (only terms that are quadratic relative to the displacement gradient are conserved) solutions for various models of the nonlinearly elastic behavior of materials are compared. An analysis of the results shows that in some cases, the quasilinear model is not applicable for studying the behavior of nonlinearly elastic compressible media.
Received: 29.09.1998
Accepted: 11.01.1999
English version:
Journal of Applied Mechanics and Technical Physics, 2000, Volume 41, Issue 2, Pages 377–381
DOI: https://doi.org/10.1007/BF02465284
Bibliographic databases:
Document Type: Article
UDC: 539.3
Language: Russian
Citation: T. V. Gavrilyachenko, M. I. Karyakin, “Specific features of the nonlinearly elastic behavior of cylindrical compressible bodies in torsion”, Prikl. Mekh. Tekh. Fiz., 41:2 (2000), 188–193; J. Appl. Mech. Tech. Phys., 41:2 (2000), 377–381
Citation in format AMSBIB
\Bibitem{GavKar00}
\by T.~V.~Gavrilyachenko, M.~I.~Karyakin
\paper Specific features of the nonlinearly elastic behavior of cylindrical compressible bodies in torsion
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2000
\vol 41
\issue 2
\pages 188--193
\mathnet{http://mi.mathnet.ru/pmtf2918}
\elib{https://elibrary.ru/item.asp?id=17261890}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2000
\vol 41
\issue 2
\pages 377--381
\crossref{https://doi.org/10.1007/BF02465284}
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  • https://www.mathnet.ru/eng/pmtf/v41/i2/p188
    • This publication is cited in the following 5 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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