 | | 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: | | 11223 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8011
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| In English (Mech. Solids): | | 3212 |
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| S.E. Aleksandrov, E.A. Lyamina, and N.M. Tuan, "Compression of an Axisymmetric Layer on a Rigid Mandrel in Creep," Mech. Solids. 51 (2), 188-196 (2016) |
| Year |
2016 |
Volume |
51 |
Number |
2 |
Pages |
188-196 |
| DOI |
10.3103/S0025654416020060 |
| Title |
Compression of an Axisymmetric Layer on a Rigid Mandrel in Creep |
| Author(s) |
S.E. Aleksandrov (Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, pr. Vernadskogo 101, str. 1, Moscow, 119526 Russia, sergei_alexandrov@yahoo.com)
E.A. Lyamina (Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, pr. Vernadskogo 101, str. 1, Moscow, 119526 Russia, lyamina@inbox.ru)
N.M. Tuan (Institute of Mechanics, Vietnam Academy of Science and Technology, 264 Doi can, Ba dinh, Hanoi, Vietnam) |
| Abstract |
An approximate solution describing the compression of an axisymmetric layer of material on a rigid mandrel under the equations of the creep theory is constructed. The constitutive equation is introduced so that the equivalent stress tends to a finite value as the equivalent strain rate tends to infinity. Such a constitutive equation leads to a qualitatively different asymptotic behavior of the solution near the mandrel surface, on which the maximum friction law is satisfied, compared with the well-known solution for the creep model based on the power-law relationship between the equivalent stress and the equivalent strain rate. It is shown that the solution existence depends on the value of one of the parameters contained in the constitutive equations. If the solution exists, then the equivalent strain rate tends to infinity as the maximum friction surface is approached, and the qualitative asymptotic behavior of the solution depends on the value of the same parameter. There is a range of variation of this parameter for which the qualitative behavior of the equivalent strain rate near the maximum friction surface coincides with the behavior of the same variable in ideally rigid-plastic solutions. |
| Keywords |
friction, singularity, asymptotic analysis, creep |
| References |
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|
| Received |
25 February 2014 |
| Link to Fulltext |
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