 | | 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
|
| In English (Mech. Solids): | | 4760 |
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| V. M. Alexandrov and A. V. Mark, "Constant velocity motion of a strip die on the boundary of a viscoelastic base," Mech. Solids. 44 (1), 114-121 (2009) |
| Year |
2009 |
Volume |
44 |
Number |
1 |
Pages |
114-121 |
| DOI |
10.3103/S0025654409010129 |
| Title |
Constant velocity motion of a strip die on the boundary of a viscoelastic base |
| Author(s) |
V. M. Alexandrov (Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, pr-t Vernadskogo 101, str. 1, Moscow, 119526, Russia, alexand@ipmnet.ru)
A. V. Mark (Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, pr-t Vernadskogo 101, str. 1, Moscow, 119526, Russia, A-V-Mark@yandex.ru) |
| Abstract |
We consider a contact problem on the interaction of a rigid strip die with the boundary of a viscoelastic base. We assume that the die moves at a constant velocity on this boundary and is indented into it by a constant normal force. Friction in the die-surface contact region is neglected. The die base is corrugated in the direction perpendicular to the direction of motion. At the first stage, we determine the displacement of the base boundary due to the normal load applied to it. Then, at the second stage, we derive the integral equation of the contact problem for determining the contact pressure. At the third stage, we construct an approximate solution of this integral equation by using the modified Multhopp-Kalandiya method. |
| References |
| 1. | Yu. N. Rabotnov, Elements of Hereditary Mechanics of Solids (Nauka, Moscow, 1977) [in Russian]. |
| 2. | I. S. Gradshtein and I. M. Ryzhik, Tables of Integrals, Sums, Series, and Products (Fizmatlit, Moscow, 1962) [in Russian]. |
| 3. | V. M. Alexandrov and B. L. Romalis, Contact Problems in Mechanical Engineering (Mashinostroenie, Moscow, 1986) [in Russian]. |
| 4. | V. M. Alexandrov and E. V. Kovalenko, Problems in Continuum Mechanics with Mixed Boundary Conditions (Nauka, Moscow, 1986) [in Russian]. |
|
| Received |
10 July 2007 |
| Link to Fulltext |
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