Isometric immersions, energy minimization and self-similar buckling in non-Euclidean elastic sheets
Isometric immersions, energy minimization and self-similar buckling in non-Euclidean elastic sheets
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DOI：
10.1209/0295-5075/114/24003
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发表时间：
2016-04-01
期刊：
影响因子：
1.8
通讯作者：
Venkataramani, Shankar C.
中科院分区：
文献类型：
--
作者：
Gemmer, John;Sharon, Eran;Venkataramani, Shankar C.
撕裂的塑料片和生长的树叶的边缘经常显示出分层的屈曲模式。我们表明，这种复杂的形态i）出现在零应变配置，和ii）是由两个主曲率之间的竞争，而不是弯曲和拉伸之间的驱动。我们确定的关键作用的分支点（或“猴鞍”）奇点在生成复杂的等轴浸渍的条纹图案，并显示它们是如何自然地从最小化的弹性能量。版权所有（C）2016 EPLA
The edges of torn plastic sheets and growing leaves often display hierarchical buckling patterns. We show that this complex morphology i) emerges even in zero strain configurations, and ii) is driven by a competition between the two principal curvatures, rather than between bending and stretching. We identify the key role of branch point (or "monkey saddle") singularities in generating complex wrinkling patterns in isometric immersions, and show how they arise naturally from minimizing the elastic energy. Copyright (C) EPLA, 2016