Abstract
The paper is devoted to the specification of the parameters of Bartenev-Lavrentiev’s empirical dependence for the relative area of contact with taking into account the mutual influence of asperities. The relative contact area is determined using a discrete roughness model for a wide range of distributions of the peaks of the asperities in the rough layer. It is shown that when determining the relative contact area, the distribution of the asperities in height practically does not affect the final result, since the obtained dependences coincide. This fact allowed us to determine the parameters of engineering dependence, which coincides with the results of theoretical studies.
Highlights
An important characteristic in determining the performance of joints of machine parts is the relative contact area
As follows from [1,2,3], as well as from the recent publications of the authors [4,5,6,7], for determining the relative contact area and especially with the use of lowmodulus materials, the mutual influence of microasperities should be taken into account
In these studies, using the discrete roughness model, analytical equations are given for determining the relative contact area as a function of the dimensionless force elastic geometric parameter f y
Summary
An important characteristic in determining the performance of joints of machine parts is the relative contact area. As follows from [1,2,3], as well as from the recent publications of the authors [4,5,6,7], for determining the relative contact area and especially with the use of lowmodulus materials, the mutual influence of microasperities should be taken into account. Where β is coefficient depending on the surface quality, in [8] the value β is determined analytically; χ = 2 3 (in paper [8] χ = 1); qc is the contour contact pressure, E∗ is the reduced modulus of elasticity It follows from [4,5,6,7] that without taking into account the mutual influence of the asperities, with using a discrete roughness model, the case is possible when η = 1. The purpose of this paper is to refine the parameters of the empirical dependence (1), taking into account the latest trends in determining the relative contact area [4,5,6,7] with taking into account the mutual influence of the asperities
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