Adhesive full stick contact of a rigid cylinder with an elastic half-space

The problem of adhesive contact of a rigid cylinder with an elastic half-space is considered. The proposed adhesive contact model differs from the Johnson–Kendall–Roberts (JKR) model by preserving the influence of the contact shear stresses in the problem formulation and considering the so-called full stick contact due to the large values of the friction coefficient between contacting surfaces, as opposed to the frictionless contact assumed in the JKR model. An analytical treatment of the problem is presented, with the corresponding boundary-value problem formulated in the bipolar coordinates. A general solution in the form of Papkovich–Neuber functions and the Fourier integral transform is used to obtain an exact solution to the formulated boundary-value problem. Comparison of the results with the JKR model shows that accounting for the contact shear stresses leads to smaller contact areas as compared to those predicted by the JKR model.