Non-slipping adhesive contact between dissimilar elastic solids under normal and tangential loads

In this paper, a model of two-dimensional non-slipping adhesive contact between dissimilar elastic solids under normal and tangential loads is proposed, and the general analytical solution is derived. The interaction of adhesion and friction along the contacting interface is studied. Specifically, (i) the shear-off force of adhesive contact is proposed; (ii) the effect of tangential load on the puff-off force is presented; (iii) the influence of the normal load on the shear-off force is obtained; (iv) in the context of these results, the nominal static friction coefficient is defined and analyzed, and it is shown that the static friction coefficient is a function of external normal load, which can well explain some experimental results in the literature. The proposed model appears to be consistent with the available experimental data, which offers new insight into the interplay mechanism between friction and adhesion. These results provide the foundation for understanding and modelling some tribological phenomena at the macro-, micro- and nano- scales.