从悬挂石墨烯到窗帘的受约束薄板中的褶皱层次结构
Wrinkling hierarchy in constrained thin sheets from suspended graphene to curtains
摘要:
我们表明,边界约束下的薄片自发地产生一个普遍的自相似层次的皱纹。从简单的几何参数和能量缩放,我们开发了一个形式主义的基础上,在合并的两个皱纹的过渡区,作为积木的全球格局。相反的情况下,皱纸的弹性能集中,这种过渡被描述为顺利与最近的数值计算工作。从石墨烯片的数百nm到普通窗帘的米,这种形式主义都得到了验证,这表明了我们描述的普遍性。最后,我们描述了一个外部张力的皱纹的分布的影响。
英文摘要:
We show that thin sheets under boundary confinement spontaneously generate a universal self-similar hierarchy of wrinkles. From simple geometry arguments and energy scalings, we develop a formalism based on wrinklons, the transition zone in the merging of two wrinkles, as building-blocks of the global pattern. Contrary to the case of crumple paper where elastic energy is focused, this transition is described as smooth in agreement with a recent numerical work. This formalism is validated from hundreds of nm for graphene sheets to meters for ordinary curtains, which shows the universality of our description. We finally describe the effect of an external tension to the distribution of the wrinkles.
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