将片材拉伸扭转折叠成多层螺旋纱线
Tensional twist-folding of sheets into multilayered scrolled yarns
摘要：
将加捻床单作为形成功能性纱线的策略依赖于数千年来人类在制造猫内脏和织物可穿戴设备方面的实践，但仍然缺乏指导其复杂架构的总体原则。我们表明，扭曲的超弹性片材形成多层自滚动纱线，通过递归折叠和扭曲本地化，可以重新配置和重新部署。我们结合弱非线性弹性和折纸来解释所观察到的有序进展超出微扰模型的领域。折叠运动学的优势拉伸模式，我们解释了测量的扭矩和能量源自几何非线性，由于大位移。作为补充，我们表明，由此产生的结构可以使用Schläfli符号的星形多边形的算法生成。然后引入一个几何模型来解释自卷曲纱线的形成和结构。我们的张力扭曲折叠框架表明，折纸可以利用来理解可拉伸片材转化为简单扭曲的自组装结构。
英文摘要：
Twisting sheets as a strategy to form functional yarns relies on millennia of human practice in making catguts and fabric wearables, but 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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
