  Based on a potential theoretical approach, the subsurface stress field is
calculated for an elastic-half space, which is subject to normal and uniaxial
tangential surface tractions that - in the case of elastic decoupling -
correspond to rigid normal and tangential translations of a circular surface
domain. The stress fields are obtained explicitly and in closed form as the
imaginary parts of compact complex-valued expressions. The stress state in the
surface and on the central axis are considered in detail. As, within specific
approximations that have been discussed at length in the literature, any
tangential contact problem with friction can be understood as a certain
incremental series of such rigid translations, the solutions presented here can
serve as the basis of very fast superposition algorithms for the analysis of
subsurface stress fields in general tangential contact problems with friction.
