由流体膜跨越的手性弹性环的屈曲

Hoang Minh Tuan, Nguyen Thi Linh Lan, Tran Minh Tuyen
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摘要

本文用变分方法研究了由流体膜跨越的手性弹性环的屈曲现象。我们发现发生屈曲的流体膜的临界表面张力取决于手性的程度,无论环是具有左手手性还是右手手性。此外,手性总是对屈曲产生不稳定作用,在小于非手性弹性环的临界表面张力下屈曲。然而,手性的不稳定效应可以通过增加长丝的扭转刚度与弯曲刚度(扭转-弯曲比)来降低。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Buckling of chiral elastic rings spanned by fluid films
We use variational method to examine buckling of chiral elastic rings spanned by fluid films. We find that the critical surface tension of the fluid film at which buckling occurs depends on the degree of chirality, regardless whether the ring possesses left-handed chirality or right-handed chirality. Additionally, the chirality always has a destabilizing effect on buckling, yielding to buckle at a critical surface tension smaller than that of the achiral elastic rings. The destabilizing effect of chirality, however, can be reduced by increasing the twisting rigidity to bending rigidity of filaments (twist-to-bend ratio).
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