不可伸长螺旋带中的张力诱导多稳态
Tension-induced multistability in inextensible helical ribbons
摘要：
我们研究了非单调力的延伸行为的螺旋带使用一个新的模型不可扩展的弹性带。与以前的棒模型不同，我们的模型预测任意材料特性的低间距条带的滞后行为。与之相关的是在胆固醇带实验中观察到的两种不同螺旋状态之间的一阶跃迁。数值解表明，在受控张力下也会发生非均匀的解卷和滞后现象。此外，他们揭示了一个新的解卷的情况下，非常低的间距剪切张力下，连续释放一系列的几乎平面环带。我们的研究结果可能是相关的纳米器件，如力探针。
英文摘要：
We study the non-monotonic force-extension behaviour of helical ribbons using a new model for inextensible elastic strips. Unlike previous rod models our model predicts hysteresis behaviour for low-pitch ribbons of arbitrary material properties. Associated with it is a first-order transition between two different helical states as observed in experiments with cholesterol ribbons. Numerical solutions show non-uniform uncoiling with hysteresis also occurring under controlled tension. They furthermore reveal a new uncoiling scenario in which a ribbon of very low pitch shears under tension and successively releases a sequence of almost planar loops. Our results may be relevant for nanoscale devices such as force probes.
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