Probability-Based Analyses of the Snap-Through in Cage-Shaped Mesostructures Under Out-of-Plane Compressions  

作　　者：Qing Liu Zhangming Shen Zhi Liu Yumeng Shuai Zengyao Lv Tianqi Jin Xu Cheng Yihui Zhang 

机构地区：[1]Applied Mechanics Laboratory,Department of Engineering Mechanics,Tsinghua University,Beijing 100084,China [2]Laboratory of Flexible Electronics Technology,Tsinghua University,Beijing 100084,China

出　　处：《Acta Mechanica Solida Sinica》2023年第4期569-581,共13页固体力学学报（英文版）

基　　金：National Natural Science Foundation of China,12225206,Yihui Zhang,12050004,Yihui Zhang,11921002,Yihui Zhang;the Tsinghua National Laboratory for Information Science and Technology,the Henry Fok Education Foundation,171003,Yihui Zhang;the Institute for Guo Qiang,Tsinghua University,2019GQG1012,Yihui Zhang.

摘　　要：Three-dimensional(3D)mesostructures with distinct compressive deformation behaviors and tunable mechanical responses have gained increasing interest in recent years.3D cage-shaped mesostructures are representative framework structures widely exploited in 3D flexible electronics,owing to their unique cellular geometry and unusual mechanical responses.The snap-through behavior of cage-shaped mesostructures could potentially result in the performance degradation of electronics,while it could also be harnessed to design reconfigurable electronics.Due to the complicated deformation modes and random characteristics in experiments,the snap-through behavior of cage-shaped mesostructures remains largely unexplored,espe-cially in terms of probability-based analyses.In this work,we present a systematic study on the configuration evolution and snap-through of 3D cage-shaped mesostructures under out-of-plane compressions.Experimental and computational studies show the existence of two distinct deformation modes associated with the snap-through,which is controlled by the energy barrier based on the energetic analyses.Phase diagrams of the deformation modes decode how key geometric parameters and assembly strain affect the snap-through.Compressive experiments based on periodic arrays(10 × 10)of mesostructures provided a large amount of deformation data,allowing for statistical analyses of the snap-through behavior.These results provide new insights and useful guidelines for the design of 3D reconfigurable devices and multistable metamaterials based on 3D cage-shaped mesostructures.

关 键 词：3D cage-shaped mesostructures SNAP-THROUGH Probability-based analyses 3D assembly Out-of-plane compression 

分 类 号：O34[理学—固体力学]