Stick-slip phenomena and Schallamach waves captured using reversible cohesive elements

TL;DR

This paper introduces a reversible cohesive element-based finite element model that effectively captures stick-slip phenomena and Schallamach waves during surface peeling, providing insights into detachment behaviors across scales.

Contribution

The study develops a novel computational framework using customized reversible cohesive elements to simulate complex peeling and detachment phenomena, including snap-through instabilities and wave formations.

Findings

Periodic reattachment linked to Schallamach waves

Stick-slip behavior correlates with interface damage localization

Model captures experimentally observed peeling phenomena

Abstract

Reversibility is of paramount importance in the correct representation of surface peeling in various physical settings, ranging from motility in nature, to gripping devices in robotic applications, and even to sliding of tectonic plates. Modeling the detachment-reattachment sequence, known as stick-slip, imposes several challenges in a continuum framework. Here we exploit customized reversible cohesive elements in a hybrid finite element model that can handle occurrence of snap-through instabilities. The simulations capture various peeling phenomena that emerge in experimental observations, where layers are pulled from a flat, rigid substrate in the direction parallel to the surface. For long layers, periodicity in reattachment is shown to develop and is linked to the concept of Schallamach waves. Further, the connection between surface properties and stick-slip behavior is investigated: we find that stick-slip is linked to the propensity of the interface to localize deformation and damage. Beyond elucidating the various peeling behaviors and the detachment modes, the computational framework developed here provides a straightforward approach for investigation of complex delamination processes, which can guide development of future applications across different scales and in various settings.