 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 13088 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8125
|
| In English (Mech. Solids): | | 4963 |
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| G.M. Sevastyanov, O.N. Komarov, and A.V. Popov, "Torsion and Circular Shear Coupling in a Nonlinear Elastic Hollow Cylinder," Mech. Solids. 60 (1), 136-145 (2025) |
| Year |
2025 |
Volume |
60 |
Number |
1 |
Pages |
136-145 |
| DOI |
10.1134/S0025654424605366 |
| Title |
Torsion and Circular Shear Coupling in a Nonlinear Elastic Hollow Cylinder |
| Author(s) |
G.M. Sevastyanov (Institute of Machinery and Metallurgy FEB RAS, Komsomolsk-on-Amur, 681005 Russia, akela.86@mail.ru)
O.N. Komarov (Institute of Machinery and Metallurgy FEB RAS, Komsomolsk-on-Amur, 681005 Russia, olegnikolaevitsch@rambler.ru)
A.V. Popov (Institute of Machinery and Metallurgy FEB RAS, Komsomolsk-on-Amur, 681005 Russia, popov.av@live.com) |
| Abstract |
Combined torsional and circular shear of an incompressible nonlinear-elastic right-circular hollow cylinder is studied. A solution of the problem is obtained for an arbitrary elastic potential depending on the first invariant of the left Cauchy–Green deformation tensor solely (generalized neo-Hookean solid). For the Gent material, closed-form analytical solution is obtained. A rotary damper design based on the obtained solution is proposed. Formulas for the dissipation of kinetic energy caused by friction on the cylindrical surfaces of the pipe are derived. For a strain softening material, a numerical solution, which is compared with experimental results, is obtained. |
| Keywords |
nonlinear elasticity, torsion, circular shear, Gent material, rotary damper |
| Received |
16 September 2024 | Revised |
20 September 2024 | Accepted |
30 September 2024 |
| Link to Fulltext |
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