journal article·2016-05

Electroelastic model of dry friction: Macroscopic approach

A. M. Mandel, S. N. Grigoriev, V. B. Oshurko, G. I. Solomakho, S. G. Veselko

Journal of Friction and Wear· Volume 37· Issue 3
Publisher page

Abstract

It has been shown that the term that describes viscous friction in the standard Prandtl–Tomlinson model and is traditionally introduced artificially can be obtained naturally when the electrification of contact surfaces of dielectrics and conductors is taken into account. The obtained system of nonlinear equations of the Prandtl–Tomlinson model in which electrification is considered has a complex phase space with modes like dynamic chaos, attractors, etc. It has been found that the consideration of electrification leads to the vanishing of the cardinal difference between the traditional modes of movement in the Prandtl–Tomlinson model, namely, the stick–slip mode and the superlubricity mode. Analytical solutions have been obtained for elastically stable movement. It has been shown that the electrophysical characteristics of a friction pair can serve as control parameters for choosing the mode of friction.
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Research context

OpenAlex topics: Adhesion, Friction, and Surface Interactions · Brake Systems and Friction Analysis · Tribology and Lubrication Engineering

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References (13)

Show source-provided references
1. Gnecco, E., Roth, R., and Baratoff, A., Analytical expressions for the kinetic friction in the Prandtl–Tomlinson model, Phys. Rev. B: Condens. Matter Mater. Phys., 2012, vol. 86, no. 3, p. 035443.10.1103/PhysRevB.86.035443 ↗
2. Bhushan, B., Nanotribology and Nanomechanics, Berlin: Springer-Verlag, 2008.
3. Müser, M.H., Theory and simulation of friction and lubrication, Lect. Notes Phys., 2006, vol. 704, pp. 65–104.10.1007/3-540-35284-8_4 ↗
4. Popov, V.L., Mekhanika kontaktnogo vzaimodeistviya i fizika treniya (Mechanics of Contact Interaction and Pjusics of Friction), Moscow: Fizmatlit, 2013.
5. Frolov, K.V., Sovremennaya tribologiya. Itogi i perspektivy (Contemporary Tribology. Results and Perspectives), Moscow: LKI, 2008.
6. Volokitin, A.I and Persson, B.N.J., Radiative heat transfer and noncontact friction between nanostructures, Phys.-Usp., 2007, vol. 50, no. 9, pp. 879–906.10.1070/PU2007v050n09ABEH006192 ↗
7. Meng, Y., Modeling of the voltage-controlled friction effect, Science in China. Ser. A, 2002, vol. 45, no. 9, pp. 1219–1224.10.1360/02ys9133 ↗
8. Dukhovskoi, E.A., Ponomarev, A.N., Silin, A.A., and Tal’roze, V.L., Anomalously low friction of an electron bombarded surface of molybdenum disulfide, JETP Lett., 1974, vol. 20, no. 4, pp. 119–120.
9. Grigor’ev, S.N., Lanovoi, O.V., Mandel’, A.M., Oshurko, V.B., and Solomakho, G.I., On mechanism of decreasing friction in coatings of transition metal dichalcogenides due to effect of radiation, J. Friction Wear, 2013, vol. 34, no. 3, pp. 238–243.10.3103/S1068366613030082 ↗
10. Prandtl, L., Ein Gedankenmodell zur kinetischen Theorie der festen Korper, Z. Angew. Math. Mech., 1928, vol. 8, pp. 85–106.10.1002/zamm.19280080202 ↗
11. Dzyaloshinskii, I.E., Lifshits, E.M., and Pitaevskii, L.P., General theory of van der Waals’ forces, Phys.-Usp., 1961, vol. 4, no. 2, pp. 153–176.
12. Kolokolov, A.A., Mandel’, A.M., Oshurko, V.B., and Solomakho, G.I., Nelineinaya model’ effekta D.M. Tolstogo (Nonlinear model of D. M. Tolstoy effect), Vestn. Mos. Gos. Tekhn. Univ. “STANKIN”, 2011, no. 4, pp. 58–62.
13. Grigor’ev, S.N, Loskutov, A.I., Mandel’, A.M., Oshurko, V.B., Solomakho, G.I., and Fominskii, V.Yu., Nonlinear oscillations of elastic spherical nanoparticles in thin films as the friction decreasing mechanism, Fizich. Mezomekh., 2012, vol. 15, no. 6, pp. 73–78.