 | | 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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| I.G. Goryacheva and Yu.Yu. Makhovskaya, "Modeling of Friction at Different Scale Levels," Mech. Solids. 45 (3), 390-398 (2010) |
| Year |
2010 |
Volume |
45 |
Number |
3 |
Pages |
390-398 |
| DOI |
10.3103/S002565441003009X |
| Title |
Modeling of Friction at Different Scale Levels |
| Author(s) |
I.G. Goryacheva (Institute for Problems in Mechanics, Russian Academy of Sciences, pr-t Vernadskogo 101, str. 1, Moscow, 119526 Russia, goryache@ipmnet.ru)
Yu.Yu. Makhovskaya (Institute for Problems in Mechanics, Russian Academy of Sciences, pr-t Vernadskogo 101, str. 1, Moscow, 119526 Russia, makhovskaya@mail.ru) |
| Abstract |
We construct a model for studying the common influence of the imperfect elasticity of actual bodies, the microgeometry of their surfaces, and their adhesive interaction on the contact characteristics (the contact pressure distribution, the region of actual contact) and on the sliding friction force. The model is based on the solution of a plane contact problem of sliding of a rigid body with a regular relief on the boundary of a viscoelastic foundation with surface molecular attraction in the gap between the surfaces taken into account. We analyze the influence of the surface microgeometry parameters at different scale levels on the character of the surface interaction (the saturated or discrete contact) and the friction force for different sliding velocities of the contacting bodies. |
| Keywords |
contact interaction, viscoelasticity, adhesion, roughness, scale levels |
| References |
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"Molecular-Mechanical Theory of Friction,"
in Friction and Wear in Machines, Vol. III
(Izd-vo AN SSSR, Moscow-Leningrad, 1949),
pp. 178-183
[in Russian]. |
| 2. | A. V. Chichinadze (Editor)
Friction, Wear, Lubrication
(Mashinostroenie, Moscow, 2003)
[in Russian]. |
| 3. | A. W. Adamson,
Physical Chemistry of Surfaces
(Wiley, New York, 1976; Mir, Moscow, 1979). |
| 4. | B. V. Deryagin, N. V. Churaev, and V. M. Muller,
Surface Forces
(Nauka, Moscow, 1985)
[in Russian]. |
| 5. | I. G. Goryacheva and Yu. Yu. Makhovskaya,
"Adhesive Interaction of Elastic Bodies,"
Prikl. Mat. Mekh.
65 (2), 279-289 (2001)
[J. Appl. Math. Mech. (Engl. Transl.)
65 (2), 273-282 (2001)]. |
| 6. | I. G. Goryacheva,
Mechanics of Contact Interactions
(Nauka, Moscow, 2001)
[in Russian]. |
| 7. | K. L. Johnson and J. A. Greenwood,
"An Adhesion Map for the Contact or Elastic Spheres,"
J. Colloid Interface Sci.
192, 326-333 (1997). |
| 8. | I. G. Goryacheva and F. Sadeghi,
"Contact Characteristics of Rolling/Sliding Cylinder
and a Viscoelastic Layer Bonded to an Elastic Substrate,"
Wear
184, 125-132 (1995). |
| 9. | I. G. Goryacheva and Yu. Yu. Makhovskaya,
"Influence of the Surface Layer Elasticity Imperfections
on Contact Characteristics in Sliding of Rough Elastic Bodies,"
Trenie Iznos
18 (1), 5-12 (1997). |
| 10. | I. G. Goryacheva,
Contact Mechanics in Tribology
(Kluwer Academic Pub., Dordrecht, 1998). |
| 11. | Yu. Yu. Makhovskaya and I. G. Goryacheva,
"The Combined Effect of Capillarity and Elasticity in Contact Interaction,"
Tribology Int.,
No. 32, 507-515 (1999). |
| 12. | Yu. Yu. Makhovskaya,
"Discrete Contact of Elastic Bodies in the Presence of Adhesion,"
Izv. Akad. Nauk. Mekh. Tverd. Tela,
No. 2, 49-60 (2003)
[Mech. Solids (Engl. Transl.)
38 (2), 39-48 (2003)]. |
| 13. | I. G. Goryacheva and Yu. Yu. Makhovskaya,
"An Approach to Solving the Problems on Interaction between Elastic Bodies in the Presence of Adhesion,"
Dokl. Ross. Akad. Nauk
398 (3), 335-339 (2004)
[Dokl. Phys. (Engl. Transl.)
49 (9), 534-538 (2004)]. |
| 14. | I. G. Goryacheva and Yu. Yu. Makhovskaya,
"Adhesive Resistance in the Rolling of Elastic Bodies,"
Prikl. Mat. Mekh.
71 (4), 534-543 (2007)
[J. Appl. Math. Mech. (Engl. Transl.)
71 (4), 485-493 (2007)]. |
| 15. | I. Goryacheva and Yu. Makhovskaya,
"Adhesion Effect in Contact Interaction of Solids,"
Comptes Rendus Mecanique
336, 118-125 (2008). |
| 16. | D. Maugis,
Contact Adhesion and Rupture of Elastic Solids
(Springer, Berlin, 2000). |
| 17. | K. L. Johnson,
Contact Mechanics
(Univ. Press, Cambridge, 1987; Mir, Moscow, 1989). |
| 18. | F. M. Borodich and B. A. Galanov,
"Non-Direct Estimations of Adhesive and Elastic Properties of Materials by Depth-Sensing Indentation,"
Proc. R. Soc. A.
464 (2098), 2759-2776 (2008). |
| 19. | K. L. Johnson,
"Mechanics of Adhesion,"
Tribology Int.,
No. 8, 413-418 (1998). |
| 20. | Yu. Yu. Makhovskaya,
"The Sliding of Viscoelastic Bodies whenthere is Adhesion,"
Prikl. Mat. Mekh.
69 (2), 334-344 (2005)
[J. Appl. Math. Mech.
69 (2), 305-314 (2005)]. |
| 21. | G. M. Bartenev and V. V. Lavrent'ev,
Friction and Wear of Polymers
(Khimiya, Moscow, 1972). |
| 22. | N. P. Alekseev, R. V. Goldstein, and N. M. Osipenko,
"Some Applications of Fracture Mechanics in Modeling of Contact Interaction in Tribology,"
Izv. Akad. Nauk. Mekh. Tverd. Tela,
No. 5, 134-143 (1992). |
|
| Received |
09 February 2010 |
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