Geodesic
Empirical mathematical model of change in the actual contact area of metals depending on the friction path
Čebyševskij sbornik, Tome 23 (2022) no. 5, pp. 188-197

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The article presents a new empirical mathematical model for describing the change in the actual contact area of metals depending on the friction path, including such characteristics as the sharpness of the change in the actual contact area, the initial intensity of the change in the actual contact area, the increment in the intensity of the change in the actual contact area, the value of the friction path corresponding to the minimum "acceleration" of changes in the actual area of contact. The validity of the developed mathematical model is shown for the friction of pyramidal indenters made of aluminum, copper and steel St.3 on a steel surface.
Keywords: mathematical model, friction, actual contact area, indenter, frictional interaction. 
@article{CHEB_2022_23_5_a15,
     author = {A. D. Breki and V. A. Yakhimovich and S. G. Chulkin and A. A. Moskalets and I. A. Shulgin and E. B. Sedakova and Yu. G. Barabanshchikov and S. N. Kutepov and O. V. Kuzovleva},
     title = {Empirical mathematical model of change in the actual contact area of metals depending on the friction path},
     journal = {\v{C}eby\v{s}evskij sbornik},
     pages = {188--197},
     publisher = {mathdoc},
     volume = {23},
     number = {5},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CHEB_2022_23_5_a15/}
}
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AU  - I. A. Shulgin
AU  - E. B. Sedakova
AU  - Yu. G. Barabanshchikov
AU  - S. N. Kutepov
AU  - O. V. Kuzovleva
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%A V. A. Yakhimovich
%A S. G. Chulkin
%A A. A. Moskalets
%A I. A. Shulgin
%A E. B. Sedakova
%A Yu. G. Barabanshchikov
%A S. N. Kutepov
%A O. V. Kuzovleva
%T Empirical mathematical model of change in the actual contact area of metals depending on the friction path
%J Čebyševskij sbornik
%D 2022
%P 188-197
%V 23
%N 5
%I mathdoc
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A. D. Breki; V. A. Yakhimovich; S. G. Chulkin; A. A. Moskalets; I. A. Shulgin; E. B. Sedakova; Yu. G. Barabanshchikov; S. N. Kutepov; O. V. Kuzovleva. Empirical mathematical model of change in the actual contact area of metals depending on the friction path. Čebyševskij sbornik, Tome 23 (2022) no. 5, pp. 188-197. http://geodesic.mathdoc.fr/item/CHEB_2022_23_5_a15/