Formulation for axisymmetric non-slipping contacts between dissimilar elastic solids

In this article, the problem of axisymmetric contact between dissimilar elastic bodies is formulated mainly to treat non-slipping cases. When two elastically dissimilar bodies are incrementally pressed into contact, a relative radial displacement along the contact interface emerges because of the material property mismatch. To find the contact relative radial displacement separately for non-adhesive and adhesive conditions, a direct and generic approach is developed. The explicit solutions of the interface relative radial displacement for non-slipping contacts are derived in a rigorous manner, enabling a thorough analysis. In addition, based on the present formulation and approach, as an example, a typical adhesive contact problem with an applied radial mismatch strain is re-examined. This shows that radial mismatch strain may significantly influence the pull-off force. These results may be used to model more accurately contacts at macro, micro and nanoscales.