A numerical procedure for the surface deformation and adhesion between elastic half-spaces interacting by the Lennard-Jones surface potential is presented. The problem is solved based on the superposition of Boussinesq solutions for a half-space, with an iteration procedure to incorporate the nonlinear surface force-depression relation. First the axisymmetric contact between a sphere and a plane surface is demonstrated to show the validity of the procedure for a wide range of the Tabor parameter. The method is then applied to the contact between a sphere and a wavy surface, and the influence of the surface waviness on the adhesive behavior is illustrated.

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