发表机构
Weizmann Institute of Science; ESPCI Paris, PSL University, CNRS, Sorbonne Université, Université Paris Diderot（魏茨曼科学研究所; 巴黎高等物理化工学院，巴黎文理研究大学，法国国家科学研究中心，索邦大学，巴黎第七大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文提出带状网格壳作为薄片超材料模型，通过几何约束实现可调Gaussian曲率分布，并给出粗粒化方程与逆设计方法，实验和数值验证了其刚性与异常软性并存的丰富力学行为。
AI 中文摘要
机械超材料展现出由非平凡的介观组分诱导的异常性质。受建筑和工业结构的启发，我们引入了长而窄的带状物以预定角度相交的排列，作为一种模型薄片超材料。这些带状网格壳被证明展现出由几何约束驱动的高度非线性行为，然而与大多数复杂力学系统不同，我们能够显式写出粗粒化控制方程，并根据带状物的相交模式对其解进行分类。研究表明，该结构可以呈现任意的、可调的Gaussian曲率分布，这使我们能够提出一个逆设计问题，该问题可在适当定义的局部条件下求解。对软模式的分析，经实验和数值模拟证实，揭示了丰富的力学行为，可能同时表现出刚性和异常软性。
英文摘要
Mechanical metamaterials exhibit anomalous properties induced from non-trivial mesoscopic constituents. Inspired from architectural and industrial structures, we introduce arrangements of long, narrow ribbons intersecting at prescribed angles as a model thin-sheet metamaterial. These ribbon gridshells are shown to display highly non-linear behavior driven by the geometric constraints, nonetheless unlike most complex mechanical systems, we are able to explicitly write out the coarse-grained governing equations and to classify their solutions in terms of the intersection patterns of the ribbons. It is shown that the structure can assume arbitrary, tunable Gaussian curvature distributions, allowing us to formulate an inverse design problem, solvable under a suitably defined local condition. An analysis of the soft modes, confirmed by experiment and numerics, reveals rich mechanics which may exhibit both a rigid and an anomalously soft behaviors.
Comments14 pages, 6 figures, 4 SI pages
