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

在自然界中，从单个细胞的结构和蜘蛛网的固定点到昆虫和爬行动物的端部和垫层的分层组织，在极端情况下都显示出极端的粘附机制。考虑到这一点，我们在这里提出考虑几何和本构非线性（即大变形和超弹性）的多重剥离理论的一般表述。粘连带的预应力和胶带的不同初始V形配置也已包括在建模中。通过采用一种分析方法，给出了封闭形式的解决方案和明确的公式，用于预测剥离临界力和使粘合强度最大化的最佳条件，并跟踪从剥离开始到渐进行为的分层过程的演变。 。肯德尔和以前的本构线性多重剥离理论方法都作为极限情况得到了恢复，获得了对非线性和预应力作用的深刻见解，并且还通过数学上严格的论证证明了实验观察到的分离现象的渐近性。提供了示例应用程序和简单的关键测试，以证明该方法的有效性，这可以帮助解释自然的剥离并设计具有增强粘合性能的材料。