 | | 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: | | 13362 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8178
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| In English (Mech. Solids): | | 5184 |
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| S.I. Senashov and I.L. Savostyanova, "Elastic-Plastic Torsion of a Multilayered Rod," Mech. Solids. 60 (5), 3541-3546 (2025) |
| Year |
2025 |
Volume |
60 |
Number |
5 |
Pages |
3541-3546 |
| DOI |
10.1134/S0025654425602836 |
| Title |
Elastic-Plastic Torsion of a Multilayered Rod |
| Author(s) |
S.I. Senashov (Reshetnev Siberian State University of Science and Technology, Krasnoyarsk, 660037 Russia, sen@sibsau.ru)
I.L. Savostyanova (Reshetnev Siberian State University of Science and Technology, Krasnoyarsk, 660037 Russia, ruppa@inbox.ru) |
| Abstract |
The article is devoted to elastic-plastic torsion of a multilayered rod under torque. It is
assumed that the rod consists of several layers. Each layer has its own elastic properties, but the plastic
properties of both layers are the same. For simplicity, a three-layer rod is considered. The contact
boundaries of the layers are located along the x-axis. The lateral boundary of the rod is free of stresses,
the displacements and stresses are continuous at the interlayer boundaries. The stress tensor components at a point are calculated, using the contour integrals obtained from the conservation laws calculated on the edge of the cross section. Then, the second invariant of the stress tensor is compared with
the yield strength. At the points where the yield strength is reached, the plastic state occurs, and the
remaining parts are elastic. This lets us construct a boundary between the plastic and elastic regions.
This method provides a way to calculate the elastic-plastic boundaries for the standard rolled profiles
of rods. This issue will be considered in future studies. It should be noted that previously, using the
conservation laws, the main boundary value problems were solved for the plastic two-dimensional
medium, elastic-plastic torsion of isotropic rods and elastic media for finite-sized bodies. |
| Keywords |
conservation laws, elastic-plastic torsion, multilayered materials |
| Received |
03 April 2025 | Revised |
18 May 2025 | Accepted |
01 June 2025 |
| Link to Fulltext |
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