Computational Parametric Analysis of Cellular Solids with the Miura-Ori Metamaterial Geometry under Quasistatic Compressive Loads

Origami-based metamaterials have widespread application prospects in various industries including aerospace, automotive, flexible electronics, and civil engineering structures. Among the wide range of origami patterns, the fourfold tessellation known as Miura-ori is of particular attraction to engineers and designers. More specifically, researchers have proposed different 3D structures and metamaterials based on the geometric characteristics of this classic origami pattern. Herein, a computational modeling approach for the design and evaluation of 3D cellular solids with the Miura-ori metamaterial geometry which can be of zero or nonzero thicknesses is presented. To this end, first, a range of design alternatives generated based on a numerical parametric model is designed. Next, their mechanical properties and failure behavior under quasistatic axial compressive loads along three perpendicular directions are analyzed. Then, the effects of various geometric parameters on their energy absorption behavior under compression in the most appropriate direction are investigated. The findings of this study provide a basis for future experimental investigations and the potential application of such cellular solids for energy-absorbing purposes.     

Gradient Origami Metamaterials for Programming Out-of-Plane Curvatures

Origami structures are a traditional Japanese art that have recently found their way into engineering applications due to their powerful capability to transform flat 2D structures into complex 3D structures along their creases. This has given a rise to their application as designer materials with unprecedented mechanical characteristics, also known as metamaterials. Herein, gradient Miura-ori origami metamaterials are introduced as a method to preprogram out-of-plane curvatures. Several types of unit cell distributions in the origami lattice structure including checkered, linear gradient, concave radial gradient, convex radial gradient, and striped are considered. The results show that these distributions of Miura-ori origami can create single- or double curvatures including twisting, saddling, bending, local inflation, local twisting, local bending, and wavy shapes, when the origami metamaterial is loaded in compression. All the Gaussian curvatures (negative, positive, and zero) can be achieved using the proposed models. The approach helps tailoring complex preprogrammed surface geometries by employing linearly varying gradient distributions of Miura-ori origami.     

可展薄膜的Miura弹性折痕建模与分析

为满足空间任务中对可展薄膜机构的大折展比、高平整度等需求,提出基于Miura弹性折痕的空间薄膜可展机构,并进行建模分析及样机研制。根据折痕分布规律和几何关系建立Miura-ori几何模型,研究薄膜的折痕参数对折展比和折痕总长的影响规律,并进行计算和折痕参数优化。在ABAQUS/Explicit中建立折痕倾角θ=90°及θ<90°的四折痕基本单元的数值仿真模型,分析薄膜关键折痕处的力学行为变化,初步证明二维弹性折痕的可行性;进一步研究经过Miura弹性折痕折叠后三角形薄膜的弹塑性,绘制折痕交点处应力随折叠过程的变化曲线,应力峰值均处于材料弹性范围内;研制空间可展开薄膜机构样机,进行了验证分析。结果表明：机构构型设计方案合理,优化后的折痕参数可以得到大折展比和小折痕总长的薄膜Miura折叠方案,展开后薄膜表面具有较高的平整度,证明了可展薄膜Miura弹性折痕的可行性和优越性。