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IssuesArchive of Issues2016-3pp.284-297

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R.V. Goldstein and N.M. Osipenko, "Modeling of Motion Mechanism in the Intermediate Layer between Contacting Bodies in Compression Shear," Mech. Solids. 51 (3), 284-297 (2016)
Year 2016 Volume 51 Number 3 Pages 284-297
DOI 10.3103/S0025654416030055
Title Modeling of Motion Mechanism in the Intermediate Layer between Contacting Bodies in Compression Shear
Author(s) R.V. Goldstein (Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, pr. Vernadskogo 101, str. 1, Moscow, 119526 Russia, goldst@ipmnet.ru)
N.M. Osipenko (Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, pr. Vernadskogo 101, str. 1, Moscow, 119526 Russia, osipnm@mail.ru)
Abstract The conditions of force interaction and friction on the contact between bodies are related to the intermediate layer structure in the contact region, i.e., to the appearance of fracture products or intensive deformation in this region. The subsequent interaction between the bodies occurs through elements of the intermediate layer structure. In the present paper, we determine conditions and the basic mechanism controlling the formation of the interface structure when the interaction between the bodies is implemented through structure elements of the intermediate layer (balls) which are capable of rolling.

We experimentally modeled two modes of motion, namely, the approach of elements to each other and their turn and rolling on the contact interface. We constructed an analytic model corresponding to the mechanism of transformed (viscous) friction under compression shear conditions. We also considered the modes of ball mutual rotation and rolling in direct contact and the effects of free volume variations (dilatancy) near the balls due to these motions.
Keywords friction, intermediate layer, stress, displacement, structure
References
1.  N. M. Alekseev, R. V. Goldstein, and N. M. Osipenko, "Several Aspects of Fracture Mechanics of Contact Interface between Elastic Bodies in Friction," Trenie Iznos 12 (6), 965-973 (1991).
2.  N. M. 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) [Mech. Solids (Engl. Transl.)].
3.  R. V. Goldstein and N. M. Osipenko, "On Some Mechanisms of Limit Friction with Fracture," Pis'ma o Mater. 2 (3), 121-125 (2012).
4.  R. V. Goldstein and N. M. Osipenko, "Some Mechanical Models of Chemical-Mechanical Polishing Processes," in Deformation and Fracture in Technological Processes, Key Engng Mater. 528, 33-44 (2013).
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6.  V. I. Feodosiev, Selected Problems and Questions in Strength of Materials (Nauka, Moscow, 1973) [in Russian].
7.  R. V. Goldstein and N. M. Osipenko, "The Mechanism of Motion in a Medium of the Intermediate Layer between the Contacting Bodies," Pis'ma o Mater. 5 (4), 414-419 (2015).
8.  I. V. Kragelskii, Friction and Wear (Mashgiz, Moscow, 1962) [in Russian]
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13.  I. G. Goryacheva and O. G. Chekina, "Mechanics of Discrete Contact," in Mechanics of Contact Interactions, Ed. by I. I. Vorovich and V. M. Alexandrov (Nauka, Moscow, 2001), pp. 418-437 [in Russian].
14.  V. V. Andronov and V. Ph. Zhuravlev, Dry Friction in Problems of Mechanics (NITs "Regular and Chaotic Dynamics", Moscow-Izhevsk, 2010) [in Russian].
15.  V. V. Andronov, "Mechanical Systems with Transformed Dry Friction," Izv. Akad. Nauk SSSR. Mekh. Tverd. Tela, No. 1, 40-49 (1988) [Mech. Solids (Engl. Transl.)].
16.  K. L. Johnson, Contact Mechanics (Cambridge University Press, Cambridge, 1987; Mir, Moscow, 1989).
Received 18 November 2015
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