On Regularities of Contact Interaction of Surfaces with Regular Microrelief (Three-Dimensional Problem)

Abstract

We consider three-dimensional contact problems with a limited contact area for elastic bodies with a regular microrelief (RMR) applied to their surfaces. It is assumed that Boussinesq solution to the problem of the action of a concentrated normal force on the boundary of an elastic half-space can be used to determine the stress-strain state of bodies. When modeling the contact interaction, a calculation scheme was used in which one of the bodies is considered as a rigid punch, and the second is considered as an elastic half-space with a reduced modulus of elasticity. Families of rectangular punches with RMR, the elements of which are oriented along the sides of the punch, are considered. The regularities of contact interaction of punches with RMR and an elastic half-space were investigated by the method of computational experiment. Based on the established patterns, a method for approximate calculation of load distribution between RMR elements, as well as assessment of maximum and average contact pressure, sizes of actual contact areas and average residual gaps on microprotrusions is proposed.