论文标题
折叠和褶皱：单轴压缩下的平坦刚性基材的分层
Rucks and folds: delamination from a flat rigid substrate under uniaxial compression
论文作者
论文摘要
我们重新审视从平坦，刚性基板单轴压缩下的固体粘合剂板的分层。使用能量考虑和缩放论点，我们表明现象学受三大无尺度组的控制，这些群体表征了纸张上施加的禁闭水平及其可扩展性和弯曲性。认识到分层是通过平面均匀压缩状态的亚临界分叉出现的，我们预测，阈值限制水平对板的可扩展性和弯曲性的依赖性以及在阈值下的分层形状的依赖性在两个差异方面之间的分层形状显着变化。对于弯曲性足够高的床单，分层的形状是大坡度的“折叠”，其中振幅与强加的限制成正比。相比之下，对于弯曲性参数的较低值，分层的形状是一个小坡度的“ ruck”，其幅度在增加限制后会更适度地增加。意识到完全层压状态的不稳定性需要表格的有限可扩展性，我们引入了一个简单的模型，该模型使我们能够构建一个控制分层过程的分叉图。
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.
