M. Bijakzochowski et al., ON METHODS OF REDUCTION AND ELIMINATION OF STRESS SINGULARITIES IN SOME ELASTIC CONTACT PROBLEMS, International journal of mechanical sciences, 36(4), 1994, pp. 279-296
Stress singularities appear in such elastic contact problems as an ind
enter 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 neighb
ouring areas of the semi-infinite body and the shaft. In this paper, t
he changes in the nature of singularities and stress distributions hav
e been determined numerically and experimentally for different ways of
shaping the indenter, the semi-infinite body and the interface. Conta
cts with and without friction have been considered. The aim of the inv
estigation is to find a shape which either totally eliminates the sing
ularity or essentially limits the area of stress increase, diminishing
radically the stress concentration factor at some chosen distance fro
m the comer. The considered problem is of interest from the cognitive
point of view and is of some importance in engineering practice.