Eidini Maryam, Paulino Glaucio H
Department of Civil and Environmental Engineering, University of Illinois at Urbana-Champaign, 205 North Mathews Avenue, Urbana, IL 61801, USA.
Sci Adv. 2015 Sep 18;1(8):e1500224. doi: 10.1126/sciadv.1500224. eCollection 2015 Sep.
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 use the geometric properties of partially folded zigzag strips to better describe the kinematics of known zigzag/herringbone-base folded sheet metamaterials such as Miura-ori. Inspired by the kinematics of a one-degree of freedom zigzag strip, we introduce a class of cellular folded mechanical metamaterials comprising different scales of zigzag strips. This class of patterns combines origami folding techniques with kirigami. Using analytical and numerical models, we study the key mechanical properties of the folded materials. We show that our class of patterns, by expanding on the design space of Miura-ori, is appropriate for a wide range of applications from mechanical metamaterials to deployable structures at small and large scales. We further show that, depending on the geometry, these materials exhibit either negative or positive in-plane Poisson's ratios. By introducing a class of zigzag-base materials in the current study, we unify the concept of in-plane Poisson's ratio for similar materials in the literature and extend it to the class of zigzag-base folded sheet materials.
利用折纸折叠技术从平面材料片创建复杂的空间物体在科学和工程领域引起了关注。在本工作中，我们利用部分折叠的之字形条带的几何特性，来更好地描述已知的之字形/人字形基底折叠片材超材料（如三浦折纸）的运动学。受单自由度之字形条带运动学的启发，我们引入了一类由不同尺度之字形条带组成的蜂窝状折叠机械超材料。这类图案将折纸折叠技术与剪纸技术相结合。我们使用解析模型和数值模型，研究了折叠材料的关键力学性能。我们表明，我们的这类图案通过扩展三浦折纸的设计空间，适用于从小尺度到大规模的从机械超材料到可展开结构的广泛应用。我们进一步表明，根据几何形状，这些材料表现出负的或正的面内泊松比。通过在当前研究中引入一类之字形基底材料，我们统一了文献中类似材料的面内泊松比概念，并将其扩展到之字形基底折叠片材类别。
