Some closed form results for adhesive rough contacts near complete contact on loading and unloading in the JKR regime

[+] Author and Article Information
Michele Ciavarella

Politecnico di BARI. Center of Excellence in Computational Mechanics. Viale Gentile 182, 70126 Bari

Yang Xu

Mechanical Engineering Department, Auburn University, AL 36849, USA

Robert L. Jackson

Mechanical Engineering Department, Auburn University, AL 36849, USA

1Corresponding author.

ASME doi:10.1115/1.4036915 History: Received December 26, 2016; Revised April 27, 2017


Recently, generalizing the solution of the adhesive-less random rough contact proposed by Xu, Jackson, and Marghitu (XJM model), the first author has obtained a model for adhesive contact near full contact, under the JKR assumptions, which leads to quite strong effect of the fractal dimension. We extend here the results with closed form equations, including both loading, and unloading which were not previously discussed, showing that the conclusions are confirmed. A large effect of hysteresis is found, as was expected. The solution is therefore competitive with Persson's JKR solution, at least in the range of nearly full contact, with an enormous advantage in terms of simplicity. Two examples of real surfaces are discussed.

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