Modeling Stress Deformed State Upon Contact with the Bodies of Two-Phase Microstructure

Abstract

In this paper, the problems of directional modeling of the tribological properties of composites by introducing oils into them are considered. The contact problem of moving a flat punch, taking friction into account, on a heterogeneous semi-infinite media is considered. The Biot-Frenkel equations are taken into account. Mechanical constants included in the defining relations are found on the basis of the effective medium method and confirmed by numerical finite element method simulation. The solution of the contact problem is reduced to an integral equation of the first kind with a logarithmic kernel, the numerical solution of which is based on an iterative algorithm. The dependences of the contact stresses for the oil-filled composite on the porosity, the volume of applied filler, and the speed of the movement of the punch are investigated.