Preprint Article Version 1 This version is not peer-reviewed

Adhesive Hysteresis and Rolling Friction in Rough "Non-Adhesive" Contacts

Version 1 : Received: 10 May 2020 / Approved: 12 May 2020 / Online: 12 May 2020 (12:22:06 CEST)

How to cite: Popov, V.L. Adhesive Hysteresis and Rolling Friction in Rough "Non-Adhesive" Contacts . Preprints 2020, 2020050210 (doi: 10.20944/preprints202005.0210.v1). Popov, V.L. Adhesive Hysteresis and Rolling Friction in Rough "Non-Adhesive" Contacts . Preprints 2020, 2020050210 (doi: 10.20944/preprints202005.0210.v1).

Abstract

In 1975, Fuller and Tabor have shown that roughness can destroy macroscopic adhesion. This means that in spite of the presence of adhesion at the microscopic scale, the macrosopic force of adhesion vanishes. The mechanism of vanishing macroscopic adhesion is very simple: during approach of elastic bodies, asperities are elastically deformed so strongly that after unloading they destroy the microscopic adhesive junctions. However, both in the moment of formation of microscopic adhesive junctions in the loading phase and their destruction during unloading, mechanical energy disappears. This means that the microscopic adhesion makes the contact dissipative even if there is no macroscopic force of adhesion. In particular, the force-distance dependency during indentation and pull-off do not coincide with each other showing some "adhesive hysteresis". When a ball rolls on such rough surface, there will be a final energy dissipation due to formation of a new contact at the frontline of the contact and its destruction at the rear part. Thus, microscopic adhesion will lead to appearance of rolling friction in an apparently non-adhesive contact. In the present paper, we calculate the approach and pull-off dependencies of force on distance, the dissipated energy in one loading-unloading cycle and estimate the force of rolling friction due to microscopic adhesion.

Subject Areas

adhesion; hysteresis; energy dissipation; JKR theory; rolling friction

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