Rigid origami provides great theoretical potentials for designing metamaterials with programmable mechanical properties. In this paper, a novel family of cellular mechanical metamaterials is developed based on rigid-foldable square-twist origami. Kinematics and rigid-foldability of the four types of square-twist origami patterns are investigated. A square-twist origami, which has specific kinematic characteristics, is selected to construct novel metamaterial cells in the x-y plane. During deployment, the tunable Poisson's ratios of proposed metamaterial cells are guaranteed by their rigid-foldability and no self-intersection. Two combination schemes, literally linear and plane-symmetrical combination, are proposed to stack the metamaterial cells in the z-direction for building cellular metamaterials. Influences of geometries, number of layers, assemble mode, and combination scheme on the in-plane and out-plane Poisson's ratios of the square-twist origami are then evaluated. The Poisson's ratios of the constructed mechanical metamaterials are further analyzed. Following the mapping relationship between design factors and Poisson's ratio, cellular mechanical metamaterials with tunable Poisson's ratios could be designed for engineering applications.

刚性折纸为设计具有可编程机械性能的超材料提供了巨大的理论潜力。在本文中，基于刚性可折叠方形扭曲折纸开发了一种新型的细胞机械超材料家族。研究了四种方形扭曲折纸图案的运动学和刚性折叠性。选择具有特定运动学特性的方形扭曲折纸在xy平面构建新型超材料单元。在部署期间，所提出的超材料单元的可调泊松比由其刚性可折叠性和无自相交保证。提出了两种组合方案，字面上线性和平面对称组合，以在z轴上堆叠超材料单元- 构建细胞超材料的方向。然后评估几何形状、层数、组装模式和组合方案对方形扭曲折纸的平面内和平面外泊松比的影响。进一步分析了构建的机械超材料的泊松比。根据设计因素与泊松比之间的映射关系，可以设计具有可调泊松比的细胞机械超材料用于工程应用。