Adhesive contact between a cylinder and a half-space

Numerical simulation for the adhesive contact between a sphere and a half-space is employed. The numerical simulation is performed for a realistic surface force law based on the Lennard-Jones potential between molecules with the Derjaguin approximation. The result is compared with the two-dimensional Maugis model, which uses the Dugdale law. It is found that the Maugis model gives good results, approximating those obtained by the numerical simulation. It is also found that the usual Maugis parameter governs the transition from the two-dimensional JKR model to the two-dimensional rigid cylinder contact. But the rigid body limit found using the Maugis model is different from that found using the numerical simulation.