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.

从基材上剥离弹性薄膜很薄，这是机械学中的经典问题。然而，迄今为止，关于该主题的许多研究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基材上剥离弹性薄膜的问题。我们允许薄膜的分离部分与基材接触。我们给出了在给出真实剥离角的情况下用于计算平衡力的分析结果，该剥离角是膜的分离部分离开基材的角度。当没有接触时，我们会给出明确的结果，用于根据基材的轮廓计算真实的剥离角度，以及仅根据基材的表面曲率确定平衡态的稳定性。对于涉及接触的情况，我们得出的一般结果使我们能够探索在大表面粗糙度下的剥离方式。我们对这种状态的分析表明，可以通过使表面粗糙化来使剥离力独立于剥离方向。该结果与在平坦表面上剥离的结果形成鲜明对比，在剥离表面上，剥离力很大程度上取决于剥离方向。我们的分析还表明，在大粗糙度条件下，剥离力达到其理论上限，与基材表面轮廓的其他细节无关。该结果与在平坦表面上剥离的结果形成鲜明对比，在剥离表面上，剥离力很大程度上取决于剥离方向。我们的分析还表明，在大粗糙度条件下，剥离力达到了其理论上限，而与基材表面轮廓的其他细节无关。该结果与在平坦表面上剥离的结果形成鲜明对比，在剥离表面上，剥离力很大程度上取决于剥离方向。我们的分析还表明，在大粗糙度条件下，剥离力达到其理论上限，与基材表面轮廓的其他细节无关。