Z形基折叠板中超材料特性的解析
Unravelling Metamaterial Properties in Zigzag-base Folded Sheets
摘要：
使用折纸折叠技术从一张平面材料创建复杂的空间物体已经引起了科学和工程界的关注。在目前的工作中，我们采用部分折叠锯齿形条的几何特性，以更好地描述已知的锯齿形/人字形基折叠片超材料，如三浦ori的运动学。受单自由度锯齿形条带运动学的启发，我们引入了一类由不同尺度的锯齿形条带组成的细胞折叠片状机械超材料，其中该类图案将折纸折叠技术与kirigami相结合。采用分析和数值模型，我们研究的折叠材料的关键力学性能。特别是，我们表明，根据几何形状，这些材料表现出负和正的面内泊松比。通过扩展Miura-ori的设计空间，我们这类模式可能适用于广泛的应用，从机械超材料到小型和大型的可部署结构。
英文摘要：
Creating complex spatial objects from a flat sheet of material using origami folding techniques has attracted attention in science and engineering. In the present work, we employ geometric properties of partially folded zigzag strips to better describe the kinematics of the known zigzag/herringbone-base folded sheet metamaterials such as the Miura-ori. Inspired by the kinematics of a one-degree of freedom zigzag strip, we introduce a class of cellular folded sheet mechanical metamaterials comprising different scales of zigzag strips in which the class of the patterns combines origami folding techniques with kirigami. Employing both analytical and numerical models, we study the key mechanical properties of the folded materials. Particularly, we show that, depending on the geometry, these materials exhibit both negative and positive in-plane Poisson's ratio. By expanding the design space of the Miura-ori, our class of patterns is potentially appropriate for a wide range of applications, from mechanical metamaterials to deployable structures at both small and large scales.
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