Adhesive contact between a rigid sticky sphere and an elastic half space

The adhesive contact between a solid sphere and an elastic half space has b een treated by Johnson, Kendall, and Roberts (JKR)(1) for zero interfacial friction (slip boundary condition). The result is the famous JKR theory, wh ich is now widely used. However, in the real situation, the interfacial fri ction may not be negligible especially when the contact is adhesive. A solu tion corresponding to the infinite interfacial friction (stick boundary con dition) is derived in this paper. The results show that the effect of inter facial friction depends on the Poisson ratio of the elastic half space. For an incompressible half space, the two solutions are identical. These two s olutions can be thought of as the lower and upper bonds for the general cas e of finite interfacial friction.