Taniyama Hiroki, Iwase Eiji
Department of Applied Mechanics, Waseda University, 3-4-1 Okubo, Shinjuku-ku, Tokyo 169-8555, Japan.
Micromachines (Basel). 2019 Jun 14;10(6):395. doi: 10.3390/mi10060395.
We modeled a kirigami structure by considering the influence of non-uniform deforming cuts in order to theoretically design the mechanical characteristics of the structure. It is known that the end regions of kirigami structures are non-uniformly deformed when stretched, because the deformation is inhibited at the regions close to both the ends connected to the uncut region in the longitudinal direction. The non-uniform deformation affects the overall mechanical characteristics of the structure. Our model was intended to elucidate how cuts at both ends influence these characteristics. We focused on the difference in the deformation degree caused by a cut between the regions close to the ends and the center of the stretched kirigami device. We proposed a model comprising of connected springs in series with different rigidities in the regions close to the ends and the center. The spring model showed good prediction tendency with regard to the curve of the stress-strain diagram obtained using the tensile test with a test piece. Therefore, the results show that it is possible to theoretically design the mechanical characteristics of a kirigami structure, and that such a design can well predict the influence of cuts, which induce non-uniform deformation at both ends.
为了从理论上设计折纸结构的力学特性，我们通过考虑不均匀变形切口的影响来构建折纸结构模型。众所周知，折纸结构在拉伸时端部区域会发生不均匀变形，这是因为在纵向与未切割区域相连的两端附近区域，变形受到抑制。这种不均匀变形会影响结构的整体力学特性。我们的模型旨在阐明两端的切口如何影响这些特性。我们关注拉伸后的折纸装置靠近端部区域和中心区域之间因切口导致的变形程度差异。我们提出了一个模型，该模型由在靠近端部和中心区域具有不同刚度的串联连接弹簧组成。该弹簧模型对于使用测试片进行拉伸试验得到的应力 - 应变图曲线显示出良好的预测趋势。因此，结果表明从理论上设计折纸结构的力学特性是可行的，并且这种设计能够很好地预测切口的影响，切口会在两端引起不均匀变形。
