发表机构
Institut Jean le Rond d'Alembert; CNRS; Sorbonne Université（让·勒朗·达朗贝尔研究所; 法国国家科学研究中心; 索邦大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本研究通过断裂力学和Föppl-Von Karman薄膜模型，理论分析了胶粘剂剥离中弯曲与拉伸模式的竞争，揭示了剥离角度对前沿稳定性及异质增韧的影响。
AI 中文摘要
我们从理论上研究了胶粘剂的剥离行为。采用断裂力学方法，我们推导了粘附前沿在胶粘剂与基底界面处传播的运动方程，并由此推断出剥离强度。我们方法的独创性在于描述了剥离过程中胶粘剂拉伸与弯曲变形模式之间的相互作用，该胶粘剂被描述为Föppl-Von Karman薄膜。首先考虑直线粘附前沿，我们重现了均质胶粘剂最显著的特征，即剥离强度依赖于剥离角度，在大角度下由弯曲驱动，在小角度下由拉伸驱动。我们还推导了胶粘剂的形状，该形状可以用从我们模型中导出的单一弯曲长度尺度来描述。然后我们研究了粘附异质性的影响。我们证明粘附前沿的变形受非局部界面弹性控制，其强度随剥离角度的增加而减小。这一现象反映了从低角度下拉伸主导的剥离到大角度下弯曲驱动的剥离之间的转变，这一转变在我们的模型中被捕捉。这种转变影响了粘附前沿的稳定性，使其从扰动中松弛得更慢，并在低剥离角度下存在粘附能无序分布时产生更强的增韧效应。总的来说，这项研究揭示了胶粘剂的弹性变形在其剥离行为中所起的核心作用。所提出的框架阐明了胶粘剂变形与剥离驱动力之间复杂的相互作用，这可用于设计具有增强性能的异质胶粘剂。它还为界面问题中非局部弹性出现的机制提供了丰富的见解。
英文摘要
We study theoretically the peeling behavior of adhesives. Adopting a fracture mechanics approach, we derive the equation of motion of the adhesion front propagating at the interface between the adhesive and the substrate from which the peel strength is inferred. The originality of our approach lies in the description of the interplay during peeling between the stretching and the bending modes of deformation of the adhesive that is described as a F{\''o}ppl-Von Karman's thin film. Considering first a straight adhesion front, we retrieve the most salient feature of homogeneous adhesives, namely a peeling angle dependent peel strength driven by bending at large angles and by stretching at low angles. We also derive the shape of the adhesive that can be described using a single bending length scale derived from our model. We then investigate the impact of adhesion heterogeneities. We evidence that the deformations of the adhesion front are governed by a non-local interface elasticity the strength of which decreases with the peeling angle. This phenomenon reflects the transition between a stretching dominated peeling at low angle to a bending driven peeling at large angles that is captured in our model. This transition impacts the stability of adhesive fronts that relaxe more slowly from perturbations and gives rise to a stronger toughening effect in presence of a disorder distribution of adhesion energy at low peeling angles. Overall, this study sheds light on the central role played the elastic deformations of adhesives on their peeling behavior. The proposed framework unfolds the complex interplay between the deformation of adhesives and the peeling driving force that may be leveraged to engineer heterogeneous adhesives with enhanced properties. It also provides rich insights on the mechanisms underlying the emergence of non-local elasticity in interface problems.
Journal refJournal of the Mechanics and Physics of Solids, 2025, 202, pp.106165
