Geodesic
Generalized mathematical model of the dynamics of the change in the friction force at rest and the beginning of sliding
Čebyševskij sbornik, Tome 23 (2022) no. 2, pp. 179-190

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In the article a generalized empirical mathematical model of the dynamics of changes in the friction force at rest and the beginning of sliding is presented. Using the example of the friction of a ball made of ShKh15 steel over $SiO_2$ coatings deposited on flat surfaces made of polycarbonate and polyethylene terephthalate, it is shown that there are deviations from the stationary value of the friction force when sliding over short distances. The developed mathematical model describes the frictional interaction both at a stationary value of the friction force and at deviations from it.
Keywords: friction mathematical model, silicon dioxide coating, polycarbonate, polyethylene terephthalate, gradient of mechanical properties, static friction, sliding friction. 
@article{CHEB_2022_23_2_a11,
     author = {A. D. Breki and S. E. Alexandrov and A. S. Biel and S. G. Chulkin and V. A. Yakhimovich and A. E. Gvozdev and A. G. Kolmakov and E. A. Protopopov},
     title = {Generalized mathematical model of the dynamics of the change in the friction force at rest and the beginning of sliding},
     journal = {\v{C}eby\v{s}evskij sbornik},
     pages = {179--190},
     publisher = {mathdoc},
     volume = {23},
     number = {2},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CHEB_2022_23_2_a11/}
}
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A. D. Breki; S. E. Alexandrov; A. S. Biel; S. G. Chulkin; V. A. Yakhimovich; A. E. Gvozdev; A. G. Kolmakov; E. A. Protopopov. Generalized mathematical model of the dynamics of the change in the friction force at rest and the beginning of sliding. Čebyševskij sbornik, Tome 23 (2022) no. 2, pp. 179-190. http://geodesic.mathdoc.fr/item/CHEB_2022_23_2_a11/