STATIC INTERACTION OF ROUGH SURFACES UNDER NORMAL FORCE
DOI:
https://doi.org/10.31489/2020No2/110-115Keywords:
Rough surface; analytical modelling: static interaction of rough surfaces.Abstract
Modern mechanical engineering designs (and some others) make more and more demands on the development of mathematical models of units in which friction is present. A condition that significantly complicates the study of the properties of a frictional contact is its discreteness with different geometric parameters of two contacting bodies, as a result of which the contact is formed only between a part of the roughness of the rubbing bodies (base and slide). The geometry of the contacting surfaces can most accurately be described by random functions, however, methods for calculating friction nodes based on random functions are very complicated. This work is the initial stage of building a model of contact interaction of two rough bodies with roughness parameters that are different for the two bodies, but constant for each individual body. In addition, the model of contact interaction is considered with a variable force compressing the contacting bodies, in the absence of an external shear force in the contact plane, and this work allows you to check the accuracy of constructing a model of interaction of friction surfaces with a relatively simple scheme of interaction of these surfaces.
References
"1 Universiteit van Amsterdam, ScienceDaily, 2018. Friction: Da Vinci revisited. Available at: www.sciencedaily.com/releases/2018/03/180301091836.htm.
Popov, V. L., Psakhie, S. G. Numerical simulation methods in tribology. Tribol. Int., 2007, No. 40(6), pp. 916–923. DOI: 10.1016/j.triboint.2006.02.020
Savencu, O. Simulations of Dry Friction between Rough Surfaces and Corresponding Nonlinear Problems at Nano and Microscales. Ph.D. thesis, Cardiff University, Cardiff. 2016, pp. 4-6.
Bowden, F. P., Tabor, D. The Area of Contact between Stationary and between Moving Surfaces. Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, 1939, Vol. 169, Is. 938, pp. 391-413.
Bowden, F. P., Tabor, D. The Friction and Lubrication of Solids. Oxford: Clarendon Press. 1950, pp. 2-3.
Kendall, K. Molecular Adhesion and Its Applications. The Sticky Universe, Kluwer Academic Publishers. 2001, p.7-8.
Archard, J. F. Elastic Deformation and the Laws of Friction. Proceedings of the Royal Society of London. 1957, Vol. 243, pp. 190–205. DOI: 10.1098/rspa.1957.0214
Johnson, K. L., Kendall, K., Roberts, A.D. Surface Energy and the Contact of Elastic Solids. Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences. 1971, Vol. 324, Is. 1558, pp. 301–313. DOI: 10.1098/rspa.1971.0141
Derjaguin, B. V., Muller, V. M., Toporov, Y. P. Effect of contact deformations on the adhesion of particles. J.Colloid Interface Sci. 1975, Vol. 53(2), pp. 314–326. DOI: 10.1016/0021-9797(75)90018-1
Ogilvy, J. A. Numerical simulation of friction between contacting rough surfaces J. Phys. D. Appl. Phys., 1991, Vol. 24(11), pp. 2098–2109. DOI: 10.1088/0022-3727/24/11/030
Maugis, D. Adhesion of spheres: The JKR-DMT transition using a dugdale model. J. Colloid Interface Sci., 1992, Vol. 150(1), pp. 243–269. DOI: 10.1016/0021-9797(92)90285-T
McClelland, G. M., Glosli, J. N. Friction at the Atomic Scale. in Fundamentals of Friction: Macroscopic and Microscopic Processes. NATO ASI Series (Series E: Applied Sciences), Dordrecht: Spnriger. 1992, 405–425.
Tabor, D. Friction. The Present State of Our Understanding. J. Lubr. Technol., 1981, Vol. 103(2), pp. 169–179. DOI: 10.1115/1.3251622
Kragelskii, I. V., Dobychin, M. N., and Kombalov V. S. Friction and Wear. Calculation methods. Oxford: Pergamon Press Ltd. 1982, 474 p.
Kragelskii I.V. Friction and Wear, Elmsford: Pergamon Press, 1982, 420 p.
ASME B46.1-2002, 2003, ""Surface Texture (Surface Roughness, Waviness, and Lay: An American National Standard,"" New York: American Society of Mechanical Engineers.
Chichinadze A.V., et al. Basics of tribology, Moscow, Machinostroenie. 2001, 660 p.
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