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In this article, we present a mathematical model that answers a classicalquestion concerning how much force, which is generally called static frictionforce, will it require to initiate the motion of a soft solid block such asgel, rubber or elastomer on a hard surface for instance glass surface. Themodel uses population balance of the bonds between the polymer chains of thesoft solid and the hard surface to estimate rate and aging time dependentstatic friction. The model predicts that under certain range of the pullingvelocity, the friction stress at the onset of sliding (static friction stress)varies as the logarithm of the pulling velocity, as well as the logarithm ofthe aging time. These predictions are consistent with the experimentalobservations.

Rate and Aging Time Dependent Static Friction of a Soft and Hard Solid Interface