Enhancement of adhesion strength in viscoelastic unsteady contacts

TL;DR

This paper introduces a general energy approach to analyze unsteady adhesive contact in viscoelastic materials, revealing how loading history influences adhesion strength through hysteretic losses and proposing a method to accurately compute energy release rates.

Contribution

It generalizes Griffith's energy balance to viscoelastic contacts and demonstrates the impact of loading history on adhesion strength, including a new method for calculating energy release rates.

Findings

Hysteretic losses near contact edges significantly increase adhesion.

Different mechanisms govern pulloff force enhancement during approach and retraction.

JKR theory overestimates adhesion energy in viscoelastic contacts.

Abstract

We present a general energy approach to study the unsteady adhesive contact of viscoelastic materials. Under the assumption of infinitely short-range adhesive interactions, we exploit the principle of virtual work to generalize Griffith local energy balance at contact edges to the case of a non conservative (viscoelastic) material, subjected to a generic contact time history. We apply the proposed energy balance criterion to study the approach retraction motion of a rigid sphere in contact with a viscoelastic halfspace. A strong interplay between adhesion and viscoelastic hysteretic losses is reported which can lead to strongly increased adhesion strength, depending on the loading history. Specifically, two different mechanisms are found to govern the increase of pulloff force during either approach retraction cycles and approach, full relaxation, retraction tests. In the former case, hysteretic losses occurring close to the circular perimeter of the contact play a major role, significantly enhancing the energy release rate. In the latter case, instead, the pulloff enhancement mostly depends on the glassy response of the whole (bulk) material which, triggered by the fast retraction after relaxation, leads to a sort of frozen state and results in a flat punch like detachment mechanism (i.e., constant contact area). In this case, the JKR theory of adhesive contact cannot be invoked to relate the observed pulloff force to the effective adhesion energy, i.e. the energy release rate G, and strongly overestimates it. Therefore, a rigorous mathematical procedure is also proposed to correctly calculate the energy release rate in viscoelastic dissipative contacts.