圆盘内弹性梁的盘绕：蜘蛛捕捉丝的模型
Coiling of an elastic beam inside a disk: A model for spider-capture silk
摘要：
出于最近的实验观察的毛细管诱导的线轴的纤维液滴内的蜘蛛捕获丝和合成系统，我们调查的行为的纤维包装在一个下降。使用一个简化的二维模型，我们提供的屈曲阈值和深度后屈曲渐近行为的分析预测。假脱机的阈值被发现是特别好的协议与实验结果。我们进一步解决了弹性方程的纤维限制在一个软势，并使用数值延拓技术跟踪平衡路径。揭示了大量对应于不同对称性的不同路径，并讨论了它们的稳定性。
英文摘要：
Motivated by recent experimental observations of capillary-induced spooling of fibers inside droplets both in spider capture silk and in synthetic systems, we investigate the behavior of a fiber packed in a drop. Using a simplified 2D model, we provide analytical predictions for the buckling threshold and the deep post-buckling asymptotic behavior. The threshold for spooling is found to be in particularly good agreement with experimental results. We further solve the Elastica equations for a fiber confined in a soft potential, and track the equilibrium paths using numerical continuation techniques. A wealth of different paths corresponding to different symmetries is uncovered, and their stability is finally discussed.
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