论文标题
将床单的紧张扭转折叠成多层滚动纱线
Tensional twist-folding of sheets into multilayered scrolled yarns
论文作者
论文摘要
将纸张作为形成功能性纱线的策略依赖于数千年的人类实践来制造cat凝和织物可穿戴设备，但仍然缺乏指导其复杂建筑的总体原则。我们表明，通过递归折叠和扭曲定位，可以重新配置和重新部署扭曲的超弹力板形成多层自我滚动的纱线。我们将弱的非线性弹性和折纸结合在一起，以解释超出扰动模型领域的有序进展。我们将主要的拉伸模式与折叠运动学结合起来，解释了由于大位移而引起的几何非线性的测得的扭矩和能量。补充，我们表明，可以使用Schläfli符号用于星形多边形，可以通过算法生成所得的结构。然后引入几何模型来解释自滚纱的形成和结构。我们的紧张扭曲折叠框架表明，可以利用折纸来理解可拉伸床单以简单的扭曲变为自组装的体系结构。
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.
