The analysis, model revisited and the generalization of the existing empirical mathematical model of the force variation law depending upon time in case of spontaneous changes in the state of the friction contact of solids, is completed. Using the adhesion-deformation theory of friction, a phenomeno-logical model of friction force dependence on time and sliding dis-tance, is constructed, taking into account spontaneous changes in the state of frictional contact. The developed model makes it possible to interpret the transition empirical parameters and characteristics from a molecular-mechanical point of view.
mathematical model, sliding friction, fiction laws, time, sliding distance, spontaneous change
1. Breki A.D. Tribotechnicheskie charakteris-tiki ma-terialov par treniya i smazochnikh sred v usloviyakh sam-oproizvolnikh izmene-nii sostoyanii friktsionnogo kontakta Dis. dokt. tech. nauk [Tribotechnical materials characteri-zation for frictional couples and lubricating mediums under conditions of spontaneous changes in frictional contact states. D. Sc. Thesis, 05.02.04]. Breki Alexander Dzhal-yulevich; [Place of defense: St. Petersburg Polytech-nic University of Peter the Great], St. Pe-tersburg, 2021, 378 p. (in Russian).
2. Breki A.D. Tribotechnicheskie charakteris-tiki ma-terialov par treniya i smazochnikh sred v usloviyakh sam-oproizvolnikh izmene-nii sostoyanii friktsionnogo kontakta Dis. dokt. tech. nauk [Tribotechnical materials characteri-zation for frictional couples and lubricating mediums under conditions of spontaneous changes in frictional contact states. Extended Abstract of D. Sc. Thesis, 05.02.04]. Breki Alexander Dzhalyulevich; [Place of defense: St. Petersburg Polytech-nic University of Peter the Great], St. Pe-tersburg, 2021, 43 p. (in Russian).
3. Bartenev G. M. Trenie i iznos polimerov [Friction and wear of polymers] [Text]. G. M. Bartenev, V. V. La-vrentiev. Leningrad: Himiya. Leningr. otd-nie, 1972. 240 p. (in Russian).
4. Kuznetsov V.D. Fizika tverdogo tela [Solid State Physics]. V.D. Kuznetsov, 2-nd ed., re-edited. - Tomsk: Krasnoe znamya, 1937-1949, Vol. 4: Materials on the physics of external friction, wear and internal friction of solids. – Publishing house of Polygraphizdat, 1947, 542 p. (in Russian).
5. Trudi 3 Vsesoyuznoy nauchnoy konferentsii po treniyu i iznosu v mashinah [Proceedings of the Third All-Union Conference on Friction and Wear in Machines] [Text]: [In 3 volumes] / Academy of Sciences of the USSR. Institute of Machine Science. Moscow: Publishing House of the Academy of Sciences of the USSR, 1960, vol. 3, vol. 2: Dry and boundary friction. Vol.2: Friction materials. [Editor-in-chief, Doctor of Technical Sciences Prof. I.V. Kragelsky], 1960, 303 p. (in Russian).
6. Friction and wear when cutting metals [Text]: [Collection of articles] / Under the general edition of Dikushin V. I., a member of the Academy of Sciences of the USSR. Academy of Sciences of the USSR, Institute of Machine Science, Mechanical-engineering technology committee. Moscow: Mashgiz, 1955, 143 p.
7. Kragelsky I.V. Trenie i iznos [Friction and wear] [Text]. - 2nd ed., revised edition. Moscow: Mashi-nostroenie, 1968. 480 p. (in Russian).
8. Kragelsky I.V., Shchedrov, V.S. Razvitie nauki o trenii [The development of friction science] [Text]: Dry friction. Academy of Sciences of the USSR. Institute of Machine Science. Moscow: Publishing House of Academy of Sciences of the USSR, 1956, 235 p. (in Russian).
9. Suhoe trenie [Tekst] Sbornik trudov soveshaniya po voprosam teorii suhogo treniya i obrazovaniya chastits. Dry friction [Text]: Proceedings of the Meeting on the The-ory of dry friction and the formation of wear particles in dry friction process. [November 24-26, 1959, Riga]. Edited by S.B. Einbinder; Academy of Sciences of the Latvian SSR. Automation and Mechanics Institute. Riga: Publish-ing House of the Academy of Sciences of Latvian USSR, 1961, 204 p. (in Russian).
10. Kragelsky I.V., Dobychin M.N., Kombalov, V.S. Osnovi raschetov na trenie i iznos [Fundamentals of calcu-lations for friction and wear] [Text]. Moscow: Mashi-nostroenie, 1977, 526 p. (in Russian).
11. Breki A.D., Chulkin S.G., Kolmakov A.G., et.al. Mathematical laws of changes in the characteristics of the friction process of a porous composite material based on copper containing oil with graphene particles. Chebyshev-skii Sbornik, 2021; vol. 22 no. 1(77), pp. 390–402. (in Rus-sian)
12. Breki A.D. Aleksandrov S.E Tyurikov K.S. Antifriction Properties of Plasma-Chemical Coatings Based on SiO2 with MoS2 Nanoparticles under Conditions of Spinning Friction on ShKh15 Steel // In-organic Materi-als: Applied Research. 2018. Vol. 9. No 4. P. 714–718.
13. Breki A.D. Influence of microscopic Aspergillus ni-ger fungi on tribotechnical properties of LITA brand plastic lubricant. A.D. Breki, S. A. Semenov, N. E. Starikov [et al.]. Izvestiya Tula state University. Technical science., 2018, no. 7, pp. 108–117.
14. Breki A.D., Tyurikova I.A., Shatulsky A.A., et.al. The effect of Fe3O4 magnetic nanoparticles on the friction and wear of 10X17H13M2T steel in the spinning mode in a lubricating oil media. Bulletin of the Rybinsk State Avia-tion Technological Academy named after P. A. Solovyov, 2018, no. 4 (47). pp. 103–111.
15. Kudinov V.A. Dinamika stankov [Dynamics of machining facilities]. Moscow: Mashinostroenie, 1967, 359 p. (in Russian).