 | | 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: | | 12854 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
|
| In English (Mech. Solids): | | 4810 |
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| << Previous article | Volume 59, Issue 3 / 2024 | Next article >> |
| G.M. Sevastyanov, "Elastic–Plastic Analysis of a Circular Pipe Turned Inside Out," Mech. Solids. 59 (3), 1214-1225 (2024) |
| Year |
2024 |
Volume |
59 |
Number |
3 |
Pages |
1214-1225 |
| DOI |
10.1134/S0025654423602380 |
| Title |
Elastic–Plastic Analysis of a Circular Pipe Turned Inside Out |
| Author(s) |
G.M. Sevastyanov (Institute of Machinery and Metallurgy, KhFRC FEB RAS, Komsomolsk-on-Amur, 681005 Russia, akela.86@mail.ru) |
| Abstract |
The article presents an analytical solution for the problem of a circular pipe turning inside
out in a rigid gasket. Formulas for the magnitude of the radial stress, which is responsible for the adhesion between the pipe and the gasket, have been obtained. The solution is obtained for an arbitrary
incompressible hyperelastic material with a hyperelastic potential that depends only on the first invariant of the left Cauchy–Green deformation tensor (various generalizations of the neo-Hookean solid)
or on the second invariant of the logarithmic Hencky strain tensor (various generalizations of the
incompressible Hencky material). The solution considers the occurrence of plastic flow in areas adjacent to the lateral surfaces of the pipe. Both ideally plastic and isotropically hardening materials of a
general type are considered. For the latter, a solution scheme is given; in the particular case of a linearly hardening material, a closed-form solution is obtained. For the perfect plasticity model, a closed-form
solution was obtained for the neo-Hookean solid, for an incompressible Hencky material, and for the Gent material. |
| Keywords |
hyperelasticity, plasticity, pipe eversion, Gent model |
| Received |
19 June 2023 | Revised |
17 July 2023 | Accepted |
12 November 2023 |
| Link to Fulltext |
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