Abstract
Stress singularities appear in such elastic contact problems as an indenter compressing a semi-infinite body, or the axisymmetric case of a turbine disc shrunk on to a shaft. The stress is infinite at the edge of the sharp corner of the indenter and the disc, as well as in neighbouring areas of the semi-infinite body and the shaft. In this paper, the changes in the nature of singularities and stress distributions have been determined numerically and experimentally for different ways of shaping the indenter, the semi-infinite body and the interface. Contacts with and without friction have been considered. The aim of the investigation is to find a shape which either totally eliminates the singularity or essentially limits the area of stress increase, diminishing radically the stress concentration factor at some chosen distance from the corner. The considered problem is of interest from the cognitive point of view and is of some importance in engineering practice.
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