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In this work, we investigate dissipative effects involved during thedetachment of a smooth spherical glass probe from a viscoelastic siliconesubstrate patterned with micro-asperities. As a baseline, the pull-off of asingle asperity, millimeter-sized contact between a glass lens and a smoothpoly(dimethylsiloxane) (PDMS) rubber is first investigated as a function of theimposed detachment velocity. From a measurement of the contact radius a(t) andnormal load during unloading, the dependence of the strain energy relase rate Gon the velocity of the contact line vc = da/dt is determined under theassumption that viscoelastic dissipation is localized at the edge of thecontact. These data are incorporated into Muller's model (V.M. Muller J Adh SciTech (1999) 13 999-1016) in order to predict the time-dependence of the contactsize. Similar pull-off experiments are carried out with the same PDMS substratepatterned with spherical micro-asperities with a prescribed heightdistribution. From in situ optical measurements of the micro-contacts, scalinglaws are identified for the contact radius a and the contact line velocity vc.On the basis of the observed similarity between macro and microscale contacts,a numerical solution is developed to predict the reduction of the contactradius during unloading.

Rate-dependent adhesion of viscoelastic contacts. Part I: contact area and contact line velocity within model multi-asperity contacts with rubber