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Contact between an elastic manifold and a rigid substrate with a self-affinefractal surface is reinvestigated with Green's function molecular dynamics.Stress and contact autocorrelation functions (ACFs) are found to decreasealgebraically. A rationale is provided for the observed similarity in theexponents for stress and contact ACFs. Both exponents differ substantially fromanalytic predictions over the range of Hurst roughness exponents studied. Theeffect of increasing the range of interactions from a hard sphere repulsion toexponential decay is analyzed. Results for exponential interactions areaccurately described by recent systematic corrections to Persson's contactmechanics theory. The relation between the area of simply connected contactpatches and the normal force is also studied. Below a threshold size thecontact area and force are consistent with Hertzian contact mechanics, whilearea and force are linearly related in larger contact patches.

Elastic contact between self-affine surfaces: Comparison of numerical stress and contact correlation functions with analytic predictions