  As an improvement to the recently proposed procedure for the determination of
the stress state beneath axisymmetric tangential contacts in Hertz-Mindlin
approximation via an appropriate superposition of solutions for the respective
flat-punch problem, the determination via the superposition of solutions for
parabolic contact is demonstrated. It has two advantages over the flat-punch
formulation: the numerical implementation is slightly easier and more stable,
due to the absence of stress singularities for the smooth parabolic profile. As
a numerical example, the oscillating tangential contact between a rigid
indenter with a profile in the form of a power-law (with exponent 4) and an
elastic half-space is considered in detail.
