  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.
