 | | 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: | | 12804 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4760 |
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| << Previous article | Volume 43, Issue 6 / 2008 | Next article >> |
| S. E. Aleksandrov, I. D. Baranova, and G. Mishuris, "Compression of a viscoelastic layer between rough parallel plates," Mech. Solids. 43 (6), 863-869 (2008) |
| Year |
2008 |
Volume |
43 |
Number |
6 |
Pages |
863-869 |
| DOI |
10.3103/S0025654408060046 |
| Title |
Compression of a viscoelastic layer between rough parallel plates |
| Author(s) |
S. E. Aleksandrov (Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, pr-t Vernadskogo 101, str. 1, Moscow, 119526, Russia, sergei_alexandrov@yahoo.com)
I. D. Baranova (Moscow Aviation Institute (State University of Aerospace Technologies), Volokolamskoe sh. 4, GSP-3, A-80, Moscow, 125993, Russia, Baranova_Irina_D@mail.ru)
G. Mishuris (Rzeszów University of Technology, Wincentego Pola 2, PL-35-359 Rzeszów, Poland, miszuris@prz.rzeszow.pl) |
| Abstract |
If the maximal friction law is applied, then some generalizations of the Prandtl solution for the compression of a plastic layer between rough plates do not exist. In particular, this pertains to the viscoplastic solutions obtained earlier. In the present paper, we show that these solutions do not exist because of the properties of the model material and introduce a model for which this solution can be constructed. The obtained solution is singular. In particular, the equivalent strain rate tends to infinity as the friction surface is approached, and its asymptotic behavior exactly coincides with that arising in the classical solution. The obtained solution is illustrated by numerical examples, which, in particular, show that an extremely thin boundary layer may arise near the friction surfaces. |
| Received |
25 January 2006 |
| Link to Fulltext |
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