CHARACTERISTICS OF CONTACT OF A ROUGH SURFACE WITH A LOW-MODULUS HALF-SPACE
Initially, the contact of a single spherical asperity is considered with taking into account the influence of the remaining contacting asperities. It is assumed that the influence of the remaining contacting asperities is equal to the action of the uniform loading qc outside the asperity contour. This made possible to solve the contact problem as an axisymmetric one. An equation for the pressure distribution at the contact area is obtained. To determine the contact characteristics, a discrete roughness model is used, the surface bearing curve of which is described by a regularized beta function. The relative contact area and the gap density in the joint are determined depending on the dimensionless force elastic-geometric parameter fq. When determining the gap density in the joint, the displacements of the rough surface and half-space are taken into account. It is shown that the contact characteristics do not depend on the values of the regularized beta function parameters p and q.
Keyword(s): rough surface, spherical asperity, elastic contact, low-modulus materials, mutual influence of asperities, relative contact area, density of gaps.
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