Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2015, Number 5, Pages 19–23 (Mi vmumm262)  
Mechanics

Torsion of a circular cylinder at finite strain

G. Z. Sharafutdinov

Lomonosov Moscow State University, Institute of Mechanics
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Abstract: The strains in a long circular cylinder made of an incompressible material spinning under the conditions close to the conditions of plane deformation are determined for the case of a given displacement field using the matrix approach. The various approximations of strain matrices are considered. A generalized representation of these matrices in the form of the logarithm of a symmetric operator matrix obtained by multiplying the direct and transposed matrices of the operator of deformation (stretching) is discussed. The strain tensor components are found.
Key words: torsion of circular cylinder, incompressible material, finite and large strains, matrix method of determining strains, logarithmic strain.
Received: 14.06.2013
English version:
Moscow University Mechanics Bulletin, 2015, Volume 70, Issue 5, Pages 107–111
DOI: https://doi.org/10.3103/S0027133015050015
Bibliographic databases:
Document Type: Article
UDC: 539.3
Language: Russian
Citation: G. Z. Sharafutdinov, “Torsion of a circular cylinder at finite strain”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2015, no. 5, 19–23; Moscow University Mechanics Bulletin, 70:5 (2015), 107–111
Citation in format AMSBIB
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\paper Torsion of a circular cylinder at finite strain
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\vol 70
\issue 5
\pages 107--111
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