Generalized multiple peeling theory uploading hyperelasticity and pre-stress

Extreme adhesion mechanisms are shown in a wide number of situations nature, from structures single cells and spider web anchorages to hierarchical organization ends pads insects reptiles. With this mind, we here propose general formulation multiple peeling theory accounting for geometrical constitutive nonlinearities, i.e. large deformations hyperelasticity. Pre-stress adherent tracts different initial V-shaped configurations the tapes have been also included modelling. By following an analytical approach, closed-form solutions explicit formulas were given predicting pull-off critical forces optimality conditions maximizing strength, as well tracing evolution delamination process, detaching onset its progressive behaviour. Kendall previous constitutively linear approaches all recovered limit cases, gaining insights into role played by nonlinearities pre-stress demonstrating – with mathematically rigorous arguments asymptotic character phenomenon observed experimentally. Example applications simple key tests provided show effectiveness which could help interpret nature design materials enhanced adhesive properties.