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Friction for a sliding adhesive viscoelastic cylinder: Effect of Maugis parameter

Mike Ciavarella's picture

Prediction of friction is one of the nigthmares of tribologists!   For elastomers, friction may be due to shear stresses or to dissipation and adhesion hysteresis.  Here we consider the two effects in rolling/ sliding a viscoelastic cylinder. We find that at low speeds the numerical bem results confirm Persson/Brener theory for crack propagation at large Tabor parameter. However this also means that at low speeds the friction force strongly depends on Tabor parameter and increases with it until it converges to a limit surface energy*EI/Er (instantaneous to relaxed moduli) which for infinite tabor (JKR limit) means that friction would be nearly independent on speed at low speed.    Hence the influence of Tabor parameter is very strong and qualitatively changes the picture, a lot more than in classical elastic adhesive problem where it simply changes a prefactor in the transition from DMT to JKR regime

We also discuss a recent theory by Carbone, Menga and Mandriota which seems not to involve Tabor parameter, where however a length scale is probably introduced in the numerical solution of the JKR problem.



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