Force-Displacement Relation in a Tangential Frictional Contact with Adhesion

We consider tangential contact between a rigid cylinder and elastic half-space in the presence of adhesion and Coulomb's frictional force. In the limit of very small range of adhesive interaction, the main governing dimensionless parameters are identified and it is shown that the shape of the relation between the normalized force and normalized displacement is function of only one system parameter closely related to the Tabor parameter. However, the qualitative behavior is the same for arbitrary values of the Tabor parameter: the force monotonously increases from zero to the maximum value corresponding to the complete sliding. This behavior is qualitatively different from that known in the case of non-adhesive contact where in the case of flat-ended cylindrical punch the whole contact area remains in stick state until the displacement achieves some critical value, after which complete sliding starts.