Phenomenological Theory of Boundary Friction in the Stick-slip Mode
DOI:
https://doi.org/10.15407/ujpe56.3.278Keywords:
-Abstract
A deterministic theory describing the melting of an ultrathin lubricant film between two atomically smooth solid surfaces has been
developed. The lubricant state is described by introducing a parameter of excess volume that arises owing to the solid structure chaotization at its melting. The thermodynamic and shear kinds of melting are described consistently. The dependences of the stationary friction force on the lubricant temperature and the shear velocity of rubbing surfaces that move with respect to each other with a constant velocity have been analyzed. In the framework of a simple tribological model, the stick-slip mode of friction, when the lubricant periodically melts and solidifies, has been described. The influence of velocity, temperature, and load on the stick-slip friction has been analyzed. A qualitative comparison between the results obtained and experimental data has been carried out.
References
B.N.J. Persson, Sliding Friction. Physical Principles and Applications (Springer, Berlin, 1998).
H. Yoshizawa, Y.-L. Chen, and J. Israelachvili, J. Phys. Chem. 97, 4128 (1993)
https://doi.org/10.1021/j100118a033
H. Yoshizawa and J. Israelachvili, J. Phys. Chem. 97, 11300 (1993).
https://doi.org/10.1021/j100145a031
E.D. Smith, M.O. Robbins, and M. Cieplak, Phys. Rev. B 54, 8252 (1996).
https://doi.org/10.1103/PhysRevB.54.8252
V.L. Popov, Tech. Phys. 46, 605 (2001).
https://doi.org/10.1134/1.1372955
I.A. Lyashenko, A.V. Khomenko, and L.S. Metlov, Tech. Phys. 55, 1193 (2010).
https://doi.org/10.1134/S1063784210080190
J.M. Carlson and A.A. Batista, Phys. Rev. E 53, 4153 (1996).
https://doi.org/10.1103/PhysRevE.53.4153
A.V. Khomenko and O.V. Yushchenko, Phys. Rev. E 68, 036110 (2003).
https://doi.org/10.1103/PhysRevE.68.036110
A.V. Khomenko and I.A. Lyashenko, Condens. Matter Phys. 9, 695 (2006).
https://doi.org/10.5488/CMP.9.4.695
A.E. Filippov, J. Klafter, and M. Urbakh, Phys. Rev. Lett. 92, 135503 (2004).
https://doi.org/10.1103/PhysRevLett.92.135503
Z. Tshiprut, A.E. Filippov, and M. Urbakh, Phys. Rev. Lett. 95, 016101 (2005).
https://doi.org/10.1103/PhysRevLett.95.016101
A.V. Khomenko and I.A. Lyashenko, J. Frict. Wear 31, 308 (2010).
https://doi.org/10.3103/S1068366610040100
O.M. Braun and A.G. Naumovets, Surf. Sci. Rep. 60, 79 (2006).
https://doi.org/10.1016/j.surfrep.2005.10.004
A.V. Khomenko and N.V. Prodanov, Condens. Matter Phys. 11, 615 (2008).
https://doi.org/10.5488/CMP.11.4.615
A.V. Khomenko and N.V. Prodanov, Carbon 48, 1234 (2010).
https://doi.org/10.1016/j.carbon.2009.11.046
R.G. Horn, D.T. Smith, and W. Haller, Chem. Phys. Lett. 162, 404 (1989).
https://doi.org/10.1016/0009-2614(89)87066-6
A.V. Khomenko and I.A. Lyashenko, Tech. Phys. 50, 1408 (2005).
https://doi.org/10.1134/1.2131946
A.V. Khomenko and I.A. Lyashenko, Tech. Phys. 52, 1239 (2007).
https://doi.org/10.1134/S1063784207090241
A.V. Khomenko and I.A. Lyashenko, Fluct. Noise Lett. 7, L111 (2007).
https://doi.org/10.1142/S0219477507003763
A.V. Khomenko, I.A. Lyashenko, and V.N. Borisyuk, Ukr. J. Phys. 54, 1139 (2009).
A.V. Khomenko, I.A. Lyashenko, and V.N. Borisyuk, Fluct. Noise Lett. 9, 19 (2010).
https://doi.org/10.1142/S0219477510000046
A.L. Demirel and S. Granick, J. Chem. Phys. 109, 6889 (1998).
https://doi.org/10.1063/1.477256
G. Reiter, A.L. Demirel, J. Peanasky, L.L. Cai, and S. Granick, J. Chem. Phys. 101, 2606 (1994).
https://doi.org/10.1063/1.467633
J. Israelachvili, Surf. Sci. Rep. 14, 109 (1992).
https://doi.org/10.1016/0167-5729(92)90015-4
O.V. Khomenko and I.O. Lyashenko, Zh. Fiz. Dosl. 11, 268 (2007).
https://doi.org/10.30970/jps.11.268
A.V. Khomenko and I.A. Lyashenko, Phys. Sol. State 49, 936 (2007).
https://doi.org/10.1134/S1063783407050228
A.V. Khomenko and I.A. Lyashenko, Phys. Lett. A 366, 165 (2007).
https://doi.org/10.1016/j.physleta.2007.02.010
A.V. Khomenko and I.A. Lyashenko, Tech. Phys. 55, 26 (2010).
https://doi.org/10.1134/S1063784210010056
A. Lemaítre and J. Carlson, Phys. Rev. E 69, 061611 (2004).
https://doi.org/10.1103/PhysRevE.69.061611
A. Lemaítre, Phys. Rev. Lett. 89, 195503 (2002).
https://doi.org/10.1103/PhysRevLett.89.099901
L.S. Metlov and M.M. Myshlyaev, Dokl. Akad. Nauk 433, 477 (2010).
L.S. Metlov, Phys. Rev. E 81, 051121 (2010).
https://doi.org/10.1103/PhysRevE.81.051121
L.S. Metlov, Izv. Ross. Akad. Nauk Ser. Fiz. 72, 1353 (2008).
L.S. Metlov, Metallofiz. Noveish. Tekhnol. 29, 335 (2007).
A.V. Khomenko, I.A. Lyashenko, and L.S. Metlov, Metallofiz. Noveish. Tekhnol. 30, 859 (2008).
P.A. Thompson, G.S. Grest, and M.O. Robbins, Phys. Rev. Lett. 68, 3448 (1992).
https://doi.org/10.1103/PhysRevLett.68.3448
M.L. Gee, P.M. McGuiggan, and J.N. Israelachvili, J. Chem. Phys. 93, 1895 (1990).
https://doi.org/10.1063/1.459067
L.M. Kachanov, Fundamentals of the Theory of Plasticity (Dover, New York, 2004).
L.D. Landau and E.M. Lifshitz, Theory of Elasticity (Pergamon Press, New York, 1959).
G. Luengo, J. Israelachvili, S. Granick, Wear 200, 328 (1996).
https://doi.org/10.1016/S0043-1648(96)07248-1
I.N. Evdokimov and N.Yu. Eliseev, Molecular Mechanisms of Liquid and Gas Viscosity. Part 1. Basic Concepts (I.M. Gubkin Inst., Moscow, 2005) (in Russian).
Downloads
Published
How to Cite
Issue
Section
License
Copyright Agreement
License to Publish the Paper
Kyiv, Ukraine
The corresponding author and the co-authors (hereon referred to as the Author(s)) of the paper being submitted to the Ukrainian Journal of Physics (hereon referred to as the Paper) from one side and the Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine, represented by its Director (hereon referred to as the Publisher) from the other side have come to the following Agreement:
1. Subject of the Agreement.
The Author(s) grant(s) the Publisher the free non-exclusive right to use the Paper (of scientific, technical, or any other content) according to the terms and conditions defined by this Agreement.
2. The ways of using the Paper.
2.1. The Author(s) grant(s) the Publisher the right to use the Paper as follows.
2.1.1. To publish the Paper in the Ukrainian Journal of Physics (hereon referred to as the Journal) in original language and translated into English (the copy of the Paper approved by the Author(s) and the Publisher and accepted for publication is a constitutive part of this License Agreement).
2.1.2. To edit, adapt, and correct the Paper by approval of the Author(s).
2.1.3. To translate the Paper in the case when the Paper is written in a language different from that adopted in the Journal.
2.2. If the Author(s) has(ve) an intent to use the Paper in any other way, e.g., to publish the translated version of the Paper (except for the case defined by Section 2.1.3 of this Agreement), to post the full Paper or any its part on the web, to publish the Paper in any other editions, to include the Paper or any its part in other collections, anthologies, encyclopaedias, etc., the Author(s) should get a written permission from the Publisher.
3. License territory.
The Author(s) grant(s) the Publisher the right to use the Paper as regulated by sections 2.1.1–2.1.3 of this Agreement on the territory of Ukraine and to distribute the Paper as indispensable part of the Journal on the territory of Ukraine and other countries by means of subscription, sales, and free transfer to a third party.
4. Duration.
4.1. This Agreement is valid starting from the date of signature and acts for the entire period of the existence of the Journal.
5. Loyalty.
5.1. The Author(s) warrant(s) the Publisher that:
– he/she is the true author (co-author) of the Paper;
– copyright on the Paper was not transferred to any other party;
– the Paper has never been published before and will not be published in any other media before it is published by the Publisher (see also section 2.2);
– the Author(s) do(es) not violate any intellectual property right of other parties. If the Paper includes some materials of other parties, except for citations whose length is regulated by the scientific, informational, or critical character of the Paper, the use of such materials is in compliance with the regulations of the international law and the law of Ukraine.
6. Requisites and signatures of the Parties.
Publisher: Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine.
Address: Ukraine, Kyiv, Metrolohichna Str. 14-b.
Author: Electronic signature on behalf and with endorsement of all co-authors.