Topological kinematics of origami metamaterials
Topological kinematics of origami metamaterials
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DOI：
10.1038/s41567-018-0150-8
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发表时间：
2018-08-01
期刊：
影响因子：
19.6
通讯作者：
Cohen, Itai
中科院分区：
文献类型：
--
作者：
Liu, Bin;Silverberg, Jesse L.;Cohen, Itai
固态系统中的各种电子相可以通过抽象微观细节并重新关注费米表面拓扑结构如何与能带结构相互作用来定义可用的电子态来理解（1）。事实上，拓扑概念广泛适用于非电子材料，并可用于理解各种看似无关的现象（2-6）。在这里，我们将拓扑原理应用于折纸启发的机械超材料（7-12），并演示如何通过定制折痕配置空间拓扑来指导体运动学。具体来说，我们表明，通过简单地改变折痕的角度，我们修改的配置空间拓扑结构，并驱动折纸结构，以显着改变其运动学从平滑和连续变形的机械弯曲和刚性。此外，我们研究如何拓扑不相交的配置空间可以用来约束一个单一的折叠片的局部可访问的变形。虽然折纸结构的分析通常依赖于本构关系的能量学（11-14），但这里介绍的拓扑抽象是我们用来分析，理解和设计这些超材料的单独和独立的考虑因素。
A variety of electronic phases in solid-state systems can be understood by abstracting away microscopic details and refocusing on how Fermi surface topology interacts with band structure to define available electron states(1). In fact, topological concepts are broadly applicable to non-electronic materials and can be used to understand a variety of seemingly unrelated phenomena(2-6). Here, we apply topological principles to origami-inspired mechanical metamaterials(7-12), and demonstrate how to guide bulk kinematics by tailoring the crease configuration-space topology. Specifically, we show that by simply changing the crease angles, we modify the configuration-space topology, and drive origami structures to dramatically change their kinematics from being smoothly and continuously deformable to mechanically bistable and rigid. In addition, we examine how a topologically disjointed configuration space can be used to constrain the locally accessible deformations of a single folded sheet. While analyses of origami structures are typically dependent on the energetics of constitutive relations(11-14), the topological abstractions introduced here are a separate and independent consideration that we use to analyse, understand and design these metamaterials.