Twist and measure: characterizing the effective radius of strings and bundles under twisting contraction
Twist and measure: characterizing the effective radius of strings and bundles under twisting contraction
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扭转和测量：表征扭转收缩下绳和束的有效半径
DOI：
10.1039/d3sm00067b
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发表时间：
2023
期刊：
影响因子：
3.4
通讯作者：
Durian, Douglas J.
中科院分区：
文献类型：
--
作者：
Hanlan, Jesse M.;Davis, Gabrielle E.;Durian, Douglas J.
我们测试了扭曲下一束绳子长度收缩的标准模型，发现偏差明显大于通常理解的偏差，并且在中等和大扭曲角度下具有不同的性质。通过包含体积守恒，我们可以更好地拟合单股、双股和三股尼龙单丝束的数据，作为理想的测试用例。这提供了一个明确的过程，用于提取表征收缩行为的有效扭曲半径。虽然我们的方法解释了观察到的在中等捻角下的收缩快于预期的情况，但我们还发现，对于尼龙单丝束和其他几种线类型，在大捻角下的收缩仍然比预期慢。这种效应的大小随单根弦的编织结构和束中弦的数量而变化。我们推测这可能与材料内部的弹性变形有关。然而，我们的第一次建模尝试并没有完全捕捉到观察到的行为。
We test the standard model for the length contraction of a bundle of strings under twist, and find deviation that is significantly greater than typically appreciated and that has a different nature at medium and large twist angles. By including volume conservation, we achieve better fits to data for single-, double-, and triple-stranded bundles of nylon monofilament as an ideal test case. This gives a well-defined procedure for extracting an effective twist radius that characterizes contraction behavior. While our approach accounts for the observed faster-than-expected contraction up to medium twist angles, we also find that the contraction is nevertheless slower than expected at large twist angles for both nylon monofilament bundles and several other string types. The size of this effect varies with the individual-string braid structure and with the number of strings in the bundle. We speculate that it may be related to elastic deformation within the material. However, our first modeling attempt does not fully capture the observed behavior.