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This paper is devoted to an analytical, numerical, and experimental analysis of adhesive contacts subjected to tangential motion. In particular, it addresses the phenomenon of instable, jerky movement of the boundary of the adhesive contact zone and its dependence on the surface roughness. We argue that the "adhesion instabilities" with instable movements of the contact boundary cause energy dissipation similarly to the elastic instabilities mechanism. This leads to different effective works of adhesion when the contact area expands and contracts. This effect is interpreted in terms of "friction" to the movement of the contact boundary. We consider two main contributions to friction: (a) boundary line contribution and (b) area contribution. In normal and rolling contacts, the only contribution is due to the boundary friction, while in sliding both contributions may be present. The boundary contribution prevails in very small, smooth, and hard contacts (as e.g., diamond-like-carbon (DLC) coatings), while the area contribution is prevailing in large soft contacts. Simulations suggest that the friction due to adhesion instabilities is governed by "Johnson parameter". Experiments suggest that for soft bodies like rubber, the stresses in the contact area can be characterized by a constant critical value. Experiments were carried out using a setup allowing for observing the contact area with a camera placed under a soft transparent rubber layer. Soft contacts show a great variety of instabilities when sliding with low velocity - depending on the indentation depth and the shape of the contacting bodies. These instabilities can be classified as "microscopic" caused by the roughness or chemical inhomogeneity of the surfaces and "macroscopic" which appear also in smooth contacts. The latter may be related to interface waves which are observed in large contacts or at small indentation depths. Numerical simulations were performed using the Boundary Element Method (BEM).


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Adhesion and friction in hard and soft contacts: theory and experiment

Show Author's information Valentin L. POPOV1,2( )Qiang LI1( )Iakov A. LYASHENKO1,3Roman POHRT1
Technische Universität Berlin, Berlin 10623, Germany
National Research Tomsk State University, Tomsk 634050, Russia
Sumy State University, Sumy 40007, Ukraine

Abstract

This paper is devoted to an analytical, numerical, and experimental analysis of adhesive contacts subjected to tangential motion. In particular, it addresses the phenomenon of instable, jerky movement of the boundary of the adhesive contact zone and its dependence on the surface roughness. We argue that the "adhesion instabilities" with instable movements of the contact boundary cause energy dissipation similarly to the elastic instabilities mechanism. This leads to different effective works of adhesion when the contact area expands and contracts. This effect is interpreted in terms of "friction" to the movement of the contact boundary. We consider two main contributions to friction: (a) boundary line contribution and (b) area contribution. In normal and rolling contacts, the only contribution is due to the boundary friction, while in sliding both contributions may be present. The boundary contribution prevails in very small, smooth, and hard contacts (as e.g., diamond-like-carbon (DLC) coatings), while the area contribution is prevailing in large soft contacts. Simulations suggest that the friction due to adhesion instabilities is governed by "Johnson parameter". Experiments suggest that for soft bodies like rubber, the stresses in the contact area can be characterized by a constant critical value. Experiments were carried out using a setup allowing for observing the contact area with a camera placed under a soft transparent rubber layer. Soft contacts show a great variety of instabilities when sliding with low velocity - depending on the indentation depth and the shape of the contacting bodies. These instabilities can be classified as "microscopic" caused by the roughness or chemical inhomogeneity of the surfaces and "macroscopic" which appear also in smooth contacts. The latter may be related to interface waves which are observed in large contacts or at small indentation depths. Numerical simulations were performed using the Boundary Element Method (BEM).

Keywords: friction, adhesion, Boundary Element Method (BEM), soft matter, adhesion hysteresis, hard solids

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Publication history

Received: 02 June 2020
Revised: 14 October 2020
Accepted: 10 December 2020
Published: 29 January 2021
Issue date: December 2021

Copyright

© The author(s) 2020

Acknowledgements

This work has been conducted under partial financial support from German Research Foundation (DFG) (Grant No. PO 810/55-1), the Tomsk State University Academic D.I. Mendeleev Fund Program, and the German ministry for research and education (BMBF) (Grant No. 13NKE011A).

The authors acknowledge valuable discussion with A.E. Filippov.

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