 | | 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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| A. S. Kravchuk, "Nonlocal contact of rough bodies with an elliptic contact area," Mech. Solids. 40 (3), 32-40 (2005) |
| Year |
2005 |
Volume |
40 |
Number |
3 |
Pages |
32-40 |
| Title |
Nonlocal contact of rough bodies with an elliptic contact area |
| Author(s) |
A. S. Kravchuk (Minsk) |
| Abstract |
A nonlocal theory of contact interaction of rough bodies with an elliptic
contact area is developed for the cases of elastic, plastic, or
elastoplastic deformation of the roughness. Using the method of
iterations, a number of approximate solutions of the contact problems for
rough bodies are constructed in the case when the contact area is elliptic
or circular, as well as in the case when the contact area is a band. The
specific feature of the formulation of the problem and the results of its
solution demonstrate a significant role of the properties of the surfaces
of the interacting bodies in forming the contact area in the case of weak
loads. |
| References |
| 1. | I. Ya. Shtaerman, Contact Problem of Elasticity [in Russian],
Gostekhizdat, Moscow, 1949. |
| 2. | N. B. Demkin and E. V. Ryzhov, The Surface Quality and Contact of
Machine Components [in Russian], Mashinostroenie, 1981. |
| 3. | A. S. Kravchuk, "Power evaluation of the influence of roughness
on the value of contact stress for interaction of rough cylinders," Arch.
Mech., Vol. 50, No. 6, pp. 1003-1014, 1998. |
| 4. | A. S. Kravchuk and A. V. Chigarev, Mechanics of Contact
Interaction of Bodies with Circular Boundaries [in Russian], Tekhnoprint,
Minsk, 2000. |
| 5. | V. M. Alexandrov and B. L. Romalis, Contact Problems in Mechanical
Engineering [in Russian], Mashinostroenie, Moscow, 1986. |
| 6. | M. D. Martynenko and V. S. Romanchik, "On the solution of
integral equations of the contact problem of elasticity for rough
bodies," PMM [Applied Mathematics and Mechanics], Vol. 41, No. 2, pp. 338-343,
1977. |
| 7. | G. Ya. Popov and V. V. Savchuk, "A contact problem of elasticity
theory in the presence of a circular contact region with the surface
structure of the contacting bodies being taken into account," Izv. AN
SSSR. MTT [Mechanics of Solids], No. 3, pp. 80-87, 1971. |
| 8. | A. S. Rabinovich, "On the solution of contact problems for rough
bodies," Izv. AN SSSR. MTT [Mechanics of Solids], No. 1, pp. 52-57,
1979. |
| 9. | I. G. Goryacheva and M. N. Dobychin, Contact Problems in Tribology
[in Russian], Mashinostroenie, Moscow, 1988. |
| 10. | A. A. Lankov, "The compression of rough bodies with spherical
contact surfaces," Trenie i Iznos, Vol. 16, No. 5, pp. 858-867, 1995. |
| 11. | K. L. Johnson, Contact Mechanics [Russian
translation], Mir, Moscow, 1989. |
| 12. | S. D. Ponomarev, V. L. Biderman, K. K. Likharev, et al., The
Strength Analysis in Mechanical Engineering. Volume 2.
Some Problems of Applied Elasticity. Calculations Beyond the Limit of
Elasticity. Creep Design [in Russian], Mashgiz, Moscow, 1958. |
| 13. | V. I. Krylov, V. V. Bobkov, and P. I. Monastyrnyi, Numerical
Methods. Volume 1 [in Russian], Nauka, Moscow, 1976. |
|
| Received |
24 September 2003 |
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