论文标题
切割和撕裂薄弹性纸：两个新型的单周期裂纹和第一个时期的裂纹
Cutting and tearing thin elastic sheets: two novel single-period cracks and the first period-doubling crack
论文作者
论文摘要
在在Meterstick的指导下切割折叠的纸张并撕裂薄薄片的实验中，观察到了两个新型的单周期裂纹。此外，我们在撕裂实验中观察到了一个周期的裂纹。我们在不同的方向上剪切并撕裂纸张。实验结果表明，薄纸的各向异性在形成这两种类型的锯齿裂纹中起着重要作用。我们证明了倍增裂纹的形成与板和梅斯蒂克之间的接触区域的变化密切相关。我们还表明，通过切割产生的裂纹生长过程是逻辑生长过程（S-Curve），而撕裂以近似幂律函数形式传播而产生的裂纹。
Two novel single-period cracks were observed in experiments of cutting a folded sheet with a blunt object and tearing a thin brittle sheet under the guidance of a meterstick. Additionally, we observed a period-doubling crack in the tearing experiment. We cut and tore the sheet in different directions. The experimental results suggested that the anisotropy of the thin sheet played an important role in the formation of these two types of saw-tooth cracks. We demonstrated that the formation of the period-doubling crack was closely correlated with the changing of the contact region between the sheet and the meterstick. We also showed that the growth process of crack made by cutting was a logistic growth process (S-curve), while the cracks made by tearing propagated in the form of approximate power-law function.
