Nature’s forms are frilly, flexible, and functional
Nature’s forms are frilly, flexible, and functional
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自然的形式是褶边、灵活且实用的
DOI：
10.1140/epje/s10189-021-00099-6
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发表时间：
2021
期刊：
影响因子：
--
通讯作者：
Venkataramani, Shankar C.
中科院分区：
文献类型：
--
作者：
Yamamoto, Kenneth K.;Shearman, Toby L.;Struckmeyer, Erik J.;Gemmer, John A.;Venkataramani, Shankar C.
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A ubiquitous motif in nature is the self-similar hierarchical buckling of a thin lamina near its margins. This is seen in leaves, flowers, fungi, corals, and marine invertebrates. We investigate this morphology from the perspective of non-Euclidean plate theory. We identify a novel type of defect, a branch-point of the normal map, that allows for the generation of such complex wrinkling patterns in thin elastic hyperbolic surfaces, even in the absence of stretching. We argue that branch points are the natural defects in hyperbolic sheets, they carry a topological charge which gives them a degree of robustness, and they can influence the overall morphology of a hyperbolic surface without concentrating elastic energy. We develop a theory for branch points and investigate their role in determining the mechanical response of hyperbolic sheets to weak external forces.Graphic Abstract
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DOI：
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发表时间：
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期刊：
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DOI：
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发表时间：
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