Wrinkling reveals a new isometry of pressurized elastic shells
Wrinkling reveals a new isometry of pressurized elastic shells
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DOI：
10.1209/0295-5075/112/24007
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发表时间：
2015-08
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影响因子：
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通讯作者：
D. Vella;H. Ebrahimi;A. Vaziri;B. Davidovitch
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文献类型：
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作者：
D. Vella;H. Ebrahimi;A. Vaziri;B. Davidovitch
本文研究受压弹性球壳的点压痕问题。以前，它被证明，这种壳起皱，一旦压痕达到阈值。在这里，我们研究这个系统的行为超越了不稳定的发病。我们表明，而不是简单地接近经典的“镜像屈曲”的形状，皱纹壳接近一个新的，普遍的形状，反映了一个非平凡类型的等距。对于一个给定的压痕深度，这种“渐近等距”，这是可能的，只有通过挤压，达到弱压力和消失壳厚度的双重渐近极限。
We consider the point indentation of a pressurized, spherical elastic shell. Previously it was shown that such shells wrinkle once the indentation reaches a threshold value. Here, we study the behaviour of this system beyond the onset of instability. We show that rather than simply approaching the classical “mirror-buckled” shape, the wrinkled shell approaches a new, universal shape that reflects a nontrivial type of isometry. For a given indentation depth, this “asymptotic isometry”, which is only made possible by wrinkling, is reached in the doubly asymptotic limit of weak pressure and vanishing shell thickness.