Analysis of Elastic Normal Contact of Surfaces With Regular Microgeometry Based on the Localization Principle

Irina G Goryacheva,Ivan Y Tsukanov

doi:10.3389/fmech.2020.00045

Abstract

Formulations of periodic contact problems for an elastic half-plane and an elastic half-space interacting with a rigid body, having regular microgeometry, and a method for their approximate solution based on the localization principle are proposed. General relations, connecting contact characteristics of the interface (contact pressure distribution and dependence of the real contact area on the nominal pressure) with a single asperity shape and the distance between them, are obtained. The examples, illustrating the use of the obtained approximate relations for the contact characteristics analysis in the case of wavy and wedged profiles, as well as for a periodic system of cylindrical asperities are presented. The comparison of obtained results with the available exact solutions is carried out. It was established that the approximate dependences coincide with the exact solution up to high values of the nominal pressures. It is also shown that the ratio of the contact zone size to the distance between asperities, at which the interaction effect becomes significant, only slightly depends on asperities shape.

Highlights

In general case, a surface topography is represented by a combination of deterministic and random functions (Whitehouse, 1994) determined by natural factors or technological treatment of the surface
Prediction of the contact characteristics of surfaces with a given regular microgeometry, as well as the control of its optimal microgeometry are the urgent problems for micro- and nanotribology (Myshkin and Goryacheva, 2016)
The analytical solutions derived from the method of localization were used for the analysis of the contact characteristics in the periodic contact problems and for comparison with the available exact solutions

Summary

Introduction

A surface topography is represented by a combination of deterministic and random functions (Whitehouse, 1994) determined by natural factors or technological treatment of the surface. Deterministic components are formed either as a result of imperfections in the operation of technological equipment or in stationary operating conditions (for example, the steady shape of a worn surface Goryacheva, 1997). A regular microgeometry on the surface can be created to control the operational properties of friction pairs, in particular their tribological characteristics. Prediction of the contact characteristics of surfaces with a given regular microgeometry, as well as the control of its optimal microgeometry are the urgent problems for micro- and nanotribology (Myshkin and Goryacheva, 2016). The most common types of microgeometry used in Normal Contact of Surfaces With Regular Microgeometry tribological applications include isotropic (created in the transverse and longitudinal directions) and anisotropic (created in one direction only) ones

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