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Motivated by roughness-induced adhesion enhancement (toughening andstrengthening) in low modulus materials, we study the detachment of a spherefrom a substrate in the presence of both viscoelastic dissipation at thecontact edge, and roughness in the form of a single axisymmetric waviness. Weshow that the roughness-induced enhancement found by Guduru and coworkers forthe elastic case (i.e. at very small detachment speeds) tends to disappear withincreasing speeds, where the viscoelastic effect dominates and the problemapproaches that of a smooth sphere. This is in qualitative agreement with theoriginal experiments of Guduru's group with gelatin. The cross-over velocity iswhere the two separate effects are comparable. Viscoelasticity effectivelydamps roughness-induced elastic instabilities, and make their effects much lessimportant.

On the interaction of viscoelasticity and waviness in enhancing the pull-off force in sphere/flat contacts