Abstract

We revisit the delamination of a solid adhesive sheet under uniaxial compression from a flat, rigid substrate. Using energetic considerations and scaling arguments, we show that the phenomenology is governed by three dimensionless groups, which characterize the level of confinement imposed on the sheet, as well as its extensibility and bendability. Recognizing that delamination emerges through a subcritical bifurcation from a planar, uniformly compressed state, we predict that the dependence of the threshold confinement level on the extensibility and bendability of the sheet, as well as the delaminated shape at threshold, varies markedly between two asymptotic regimes of these parameters. For sheets whose bendability is sufficiently high, the delaminated shape is a large-slope “fold,” where the amplitude is proportional to the imposed confinement. In contrast, for lower values of the bendability parameter, the delaminated shape is a small-slope “ruck,” whose amplitude increases more moderately upon increasing confinement. Realizing that the instability of the fully laminated state requires a finite extensibility of the sheet, we introduce a simple model that allows us to construct a bifurcation diagram that governs the delamination process.

Graphic abstract

中文翻译：

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褶皱和褶皱：在单轴压缩下从平坦的刚性基材上剥离

摘要

我们重新审视了在单轴压缩下从平坦的刚性基材上剥离固体粘合片的过程。使用精力充沛的考虑因素和缩放比例的论据，我们表明，现象学是由三个无量纲的组支配的，它们表征了施加在板材上的约束水平以及其可扩展性和可弯曲性。认识到分层是通过亚临界分叉从平面，均匀压缩状态出现的，我们预测阈值限制水平对片材的可扩展性和可弯曲性以及阈值处的分层形状的依赖性在两种渐近状态之间显着不同这些参数。对于可弯曲性足够高的纸张，分层形状是大斜率“折叠”，其幅度与施加的限制成比例。相反，对于较低的可弯曲性参数值，分层形状为小坡度“隆隆声”，其幅度随着限制的增大而更加适度地增大。意识到完全层压状态的不稳定性需要薄片的有限可扩展性，我们引入了一个简单的模型，该模型允许我们构造一个控制分层过程的分叉图。

图形摘要