Contact Mechanics of Rough Spheres : Crossover from Fractal to Hertzian Behavior

الملخص EN

We investigate the normal contact stiffness in a contact of a rough sphere with an elastic half-space using 3D boundary element calculations.

For small normal forces, it is found that the stiffness behaves according to the law of Pohrt/Popov for nominally flat self-affine surfaces, while for higher normal forces, there is a transition to Hertzian behavior.

A new analytical model is derived describing the contact behavior at any force.