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We present a numerical model for the prediction of the rough contactmechanics of a viscoelastic block, with graded rheology, in steady slidingcontact with a randomly rough rigid surface. In particular, we derive theeffective surface response of a stepwise or continuously-graded block in theFourier domain, which is then embedded in a Fourier-based residuals moleculardynamic formulation of the contact mechanics. Finally we discuss on the role ofsmall-scale wavelengths on rubber friction and contact area, and we demonstratethat the rough contact mechanics exhibits effective interface properties whichconverge to asymptotes upon increase of the small-scale roughness content, whena realistic rheology of the confinement is taken into account.

Rough contact mechanics for graded bulk rheology: The role of small-scale wavelengths on rubber friction