A New Contact Model for Multilayered Solids with Rough Surfaces

A new numerical model is proposed to investigate the normal contact of multilayered solids with rough surfaces. The Hankel transform and the transfer matrix technique are used to solve the problem of the deformation of a multilayered solid. Then, the normal contact of an asperity is solved with Abel transform. Using this solution, an asperity-based contact model of rough surfaces is developed considering interactions between asperities. Numerical results are presented and compared to finite element calculations. The present model provides good results. The effects of interactions and the solid layers properties are discussed.