Arbitrary Penetration of a Rigid Axially Symmetric Indenter into an Axially Heterogeneous Rigid-Perfectly-Plastic Half-Space

Abstract

This paper is concerned with the axially symmetric plastic flow of an axially heterogeneous rigid-perfectly-plastic nonhardening half-space. The directions of heterogeneity coincide with the axis of symmetry of indenter and the radial direction in cylindrical frame of references. The arbitrary depth of penetration of the rigid indenter is studied on the basis of the Haar and v. Karman hypothesis. The analytical distribution of contact stress is obtained. It allows for taking into account the local adhesion of an indenter surface and the surface of the half-space. The conical indenter is investigated as a particular case. The dependence between the applied force and the penetration depth of the conical indenter for several cases of heterogeneity is determined.