论文标题
在大表面粗糙度的薄弹性膜平面剥离中无角度的最佳粘附
Angle-independent optimal adhesion in plane peeling of thin elastic films at large surface roughnesses
论文作者
论文摘要
从底物上薄膜的粘合性剥离是力学中的经典问题。但是，迄今为止，许多关于此主题的调查都集中在从具有平坦表面的基板上剥离。在本文中，我们研究了从具有周期性表面起伏的刚性底物中剥离弹性薄膜的问题。我们允许膜的独立部分与基材之间接触。我们给出了计算平衡力的分析结果，鉴于真正的剥离角度，这是膜的分离部分离开底物的角度。当没有接触时，我们会提供明确的结果，以计算从基板的轮廓计算真正的剥离角度，并仅从基板的表面曲率确定平衡状态的稳定性。我们为涉及接触的案例得出的一般结果使我们能够探索在大表面粗糙度下剥离的状态。我们对该制度的分析表明，可以通过粗糙表面来使剥离力变得独立于剥离方向。该结果与在平坦表面上脱皮的结果形成鲜明对比，在平坦表面上，剥离力在很大程度上取决于剥离方向。我们的分析还表明，在巨大的粗糙度状态下，剥落力实现了其理论上限，而与底物表面曲线的其他细节无关。
Adhesive peeling of a thin elastic film from a substrate is a classic problem in mechanics. However, many of the investigations on this topic to date have focused on peeling from substrates with flat surfaces. In this paper, we study the problem of peeling an elastic thin film from a rigid substrate that has periodic surface undulations. We allow for contact between the detached part of the film with the substrate. We give analytical results for computing the equilibrium force given the true peeling angle, which is the angle at which the detached part of the film leaves the substrate. When there is no contact we present explicit results for computing the true peeling angle from the substrate's profile and for determining an equilibrium state's stability solely from the substrate's surface curvature. The general results that we derive for the case involving contact allow us to explore the regime of peeling at large surface roughnesses. Our analysis of this regime reveals that the peel-off force can be made to become independent of the peeling direction by roughening the surface. This result is in stark contrast to results from peeling on flat surfaces, where the peel-off force strongly depends on the peeling direction. Our analysis also reveals that in the large roughness regime the peel-off force achieves its theoretical upper bound, irrespective of the other particulars of the substrate's surface profile.
