Abstract
A model is proposed herein to investigate the incipient sliding of contacts in the presence of both friction and adhesion, where the interfacial response is modeled based on traction-separation laws. A Maugis-like parameter is defined to characterize the response in the tangential direction. Subsequently, the model is used to investigate the contact between a smooth cylinder and a flat body, where adhesion-friction interactions are strong. A range of behaviors are observed when a tangential displacement is imposed: When the parameter is low, the contact pressure exhibits a relatively constant profile; when it is high, a pressure spike is observed at the edge of the contact. This difference is caused by a significant interface compliance in the former case, which limits the amount of slip. The results for the mid-range values of the Maugis-like parameter can qualitatively replicate various experiments performed using polydimethylsiloxane (PDMS) balls.
Highlights
Friction in the presence of adhesion is an important issue in tribology
It is clear that adhesion and friction are correlated: Adhesion serves as a source of friction, while it decreases under friction force
The aim of this study is to investigate the evolution of the contact area, total friction force, and pressure distribution when a surface is tangentially loaded and the relative amount of adhesion, and friction are varied
Summary
Friction in the presence of adhesion is an important issue in tribology. A comprehensive understanding of this problem is crucial to realize improvements in various applications, such as rubber adhesion in tire– asphalt contact, adhesion in microelectromechanical systems (MEMS) or cells, interaction between nanoparticles [1], positioning methods, and reusable bio-inspired adhesives that can be removed without residue [2]. An adhesive elastic smooth cylinder placed in contact with a rigid substrate was modeled, where the load applied tangentially was increased until gross slip was achieved. We performed this numerical study because experimental results in terms of the contact area and load are available for similar systems. The behavior of the contact can be summarized as follows: As the tangential load increases from a value of zero, the contact area decreases through peeling, owing to the decrease in the adhesive interaction; it transforms from an initial circular shape to an elliptical or irregular shape [6, 7].
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