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Improved Muller approximate solution of the pull-off of a sphere from a viscoelastic substrate

2020/12/11 by M. Ciavarella, Ciavarella, M.
Engineering · Physics and Astronomy · #Adhesion, Friction, and Surface Interactions #FOS: Physical sciences #Force Microscopy Techniques and Applications #Materials Science (cond-mat.mtrl-sci) #Sports Dynamics and Biomechanics

paper · pdf · doi:10.48550/arxiv.2012.06517

openalex publication_date 2020/12/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The detachment of a sphere from a viscoelastic substrate is clearly a fundamental problem. In the case viscoelastic dissipation is concentrated at the contact edge, and the work of adhesion follows a quite popular simplified model, Muller has suggested an approximate solution, which however is based on an empirical observation. We revisit Muller's solution and show it leads to very poor fitting of the actual full numerical results, particularly for the radius of contact at pull-off, and we suggest an improved fitting of the pull-off which works extremely well over a very wide range of withdrawing speeds, and correctly converges to the JKR value at very low speeds.

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