A Generalized V-Shaped Peeling Model on Rigid Curved Substrates Incorporating Prestretch Effects

Abstract In biological adhesion systems, it is often observed that organisms climb on curved surfaces by controlling the relaxation and contraction of their muscles. In this article, we propose a general model for V-peeling on an arc-shaped substrate based on Griffith's energy release theory. The developed model can handle V-peeling problems on arc-shaped substrates with arbitrary initial configurations and considers the effects of prestretching in the bonded segment. When the substrate radius and initial peeling angle are relatively large, the results approach those obtained for flat substrates. However, due to the constraints of the substrate size and its active alteration of the peeling angle, a steady state, as seen on flat substrates, does not occur during the peeling process. Prestress has a certain inhibitory effect on the initiation of delamination, but once delamination begins, the presence of prestress promotes it. Meanwhile, the same degree of prestretch has a more pronounced effect on enhancing the peel resistance of structures with smaller curvatures, and prestretch further amplifies the differences between arc-shaped and flat substrates. The article also discusses the impact of variations in different parameters on energy. The conclusions drawn in this study have implications for understanding biological adhesion and designing multilayered structures.