An analytical solution to the adhesive cylindrical indentation of a compressible elastic thin layer. Issue 14 (26th October 2021)

• Record Type: Journal Article
• Authors: Wu, J.; Ru, C.Q.
• Is Part Of: Journal of adhesion. Volume 97:Issue 14(2021)
• Page Start: 1291
• Page End: 1309
• Publication Date: 2021-10-26
• Subjects: Adhesion -- JKR model -- Kerr-type model -- cylindrical indentation -- elastic layer; Adhesion -- Periodicals; 541.33
• DOI: 10.1080/00218464.2020.1755271
• Languages: English
• ISSNs: 0021-8464

Abstract

ABSTRACT: A simple analytical method based on the Kerr-type model is proposed to extend the well-known Johnson-Kendall-Roberts (JKR) model to the adhesive contact between a rigid cylinder and a compressible elastic thin layer under plane strain. The Kerr-type model provides a linear differential relation between the contact pressure and the normal deflection of the upper surface of the layer, whose lower surface is either bonded or sliding on a rigid substrate. With the aid of Betti's reciprocal theorem, several easy-to-use explicit formulas are obtained for the relations between the indentation force, the indentation depth and the contact width, and the pressure distribution inside the contact zone and the pull-off force are determined. Reasonable agreement of the predicted results with existing numerical results shows that the present analytical model can capture the adhesive effects on the cylindrical indentation of a compressible elastic thin layer on a rigid substrate.