This article is cited in 2 papers

Formation of heterogeneous spatial structures in the boundary lubricant layer during friction

Ya. A. Lyashenko<sup>ab

a</sup> Sumy State University, Sumy, 40007, Ukraine
^b Technical University of Berlin, Berlin, 10623, Germany

Abstract: This paper presents a synergetic model that can be used to describe the boundary friction of two atomically smooth solid surfaces separated by an ultrathin lubricant layer. The model is constructed using the Lorenz equations, which are parameterized by shear stresses, shear strains, and the lubricant temperature. Given the spatial heterogeneity of these parameters, it is shown that a structure with two types of domains is formed during friction on the contact plane. Time dependences of the fractal dimensions of the domain distributions over the contact plane are calculated, and it is shown that there exists a time when the fractal dimensions take minimum values. During the evolution, the system tends to a homogeneous state in which the entire contact area is subjected to constant shear stresses which determine the relative velocity of motion of the friction blocks.

Keywords: Lorenz system, shear stresses and strains, boundary friction, kinetic friction regimes, modeling, partial differential equations, self-organization.

UDC: 621.891; 532.135

Received: 23.01.2014
Revised: 31.07.2014

DOI: 10.15372/PMTF20160115

 English version: Journal of Applied Mechanics and Technical Physics, 2016, 57:1, 136–144

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