Chopin Julien, Kudrolli Arshad
Department of Physics, Clark University, Worcester, MA 01610, USA.
Instituto de Física, Universidade Federal da Bahia, Salvador, BA 40170-115, Brazil.
Sci Adv. 2022 Apr 8;8(14):eabi8818. doi: 10.1126/sciadv.abi8818. Epub 2022 Apr 6.
Twisting sheets as a strategy to form functional yarns relies on millennia of human practice in making catguts and fabric wearables, but it still lacks overarching principles to guide their intricate architectures. We show that twisted hyperelastic sheets form multilayered self-scrolled yarns, through recursive folding and twist localization, that can be reconfigured and redeployed. We combine weakly nonlinear elasticity and origami to explain the observed ordered progression beyond the realm of perturbative models. Incorporating dominant stretching modes with folding kinematics, we explain the measured torque and energetics originating from geometric nonlinearities due to large displacements. Complementarily, we show that the resulting structures can be algorithmically generated using Schläfli symbols for star-shaped polygons. A geometric model is then introduced to explain the formation and structure of self-scrolled yarns. Our tensional twist-folding framework shows that origami can be harnessed to understand the transformation of stretchable sheets into self-assembled architectures with a simple twist.
将薄片捻搓成功能性纱线的策略，依赖于人类制造肠线和织物可穿戴设备的数千年实践，但仍缺乏指导其复杂结构的总体原则。我们表明，通过递归折叠和捻度局部化，扭曲的超弹性薄片可形成多层自卷曲纱线，这些纱线可以重新配置和重新部署。我们结合弱非线性弹性和折纸原理，来解释在微扰模型范围之外观察到的有序进展。将主要的拉伸模式与折叠运动学相结合，我们解释了由于大位移导致的几何非线性所产生的测量扭矩和能量。作为补充，我们表明，可以使用星形多边形的施莱夫利符号算法生成所得结构。然后引入一个几何模型来解释自卷曲纱线的形成和结构。我们的拉伸捻搓-折叠框架表明，可以利用折纸原理来理解通过简单捻搓将可拉伸薄片转变为自组装结构的过程。
