 | | 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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| << Previous article | Volume 52, Issue 1 / 2017 | Next article >> |
| I.A. Soldatenkov, "Analytical Solution of the Contact Problem for a System of Bodies under Collective Wear," Mech. Solids. 52 (1), 52-61 (2017) |
| Year |
2017 |
Volume |
52 |
Number |
1 |
Pages |
52-61 |
| DOI |
10.3103/S0025654417010071 |
| Title |
Analytical Solution of the Contact Problem for a System of Bodies under Collective Wear |
| Author(s) |
I.A. Soldatenkov (Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, pr. Vernadskogo 101, str. 1, Moscow, 119526 Russia, iasoldat@gmail.com) |
| Abstract |
The contact problem is considered for a system of bodies subject to wear on a common base. The deformation properties of the bodies and the base are described by the Winkler model. The problem is reduced to a system of ordinary differential equations and an integral equation of hereditary type with difference kernel. The solution of the problem is constructed with the use of the Laplace transform. The asymptotics of the solution at large times is studied. The continuity conditions for the contact of each of the bodies with the base are derived. |
| Keywords |
contact problem, wear, analytical solution, Laplace transform, asymptotic behavior |
| References |
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3 (4), 632-642 (1982)
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| 3. | I. A. Soldatenkov,
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77 (2), 337-351 (2013)
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| 4. | A. Lyubicheva and I. Soldatenkov,
"On the Model for Identification of Wear Law Parameters of Viscoelastic Material
Based on Ball-on-Disk Wear Tests,"
Tribology Int.
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27 (4), 758-764 (1963)
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27 (4), 1164-1174 (1963)]. |
| 9. | Z. M. Levina and D. N. Reshetov,
Machine Contact Rigidity
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[in Russian]. |
| 10. | Yu. V. Sidorov, M. V. Fedoryuk, and M. I. Shabunin,
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[in Russian]. |
| 11. | A. V. Manzhirov and A. D. Polyanin,
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| 12. | B. A. Fuks and V. I. Levin,
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[in Russian]. |
| 13. | I. A. Soldatenkov,
Wear-Contact Problem with Applications in Engineering Wear Calculations
(Fizmatkniga, Moscow, 2010)
[in Russian]. |
|
| Received |
02 September 2015 |
| Link to Fulltext |
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