Postbuckling of inextensible rings made from chiral filaments with intrinsic twist is studied. We show that the critical amount of intrinsic twist at which chiral elastic rings buckle might be greater than that at which buckling would occur with no chirality, dependent on degree of chirality and twist-to-bend ratio. Moreover, increasing the twisting rigidity relative to the bending rigidity of the filament can raise the critical amount of intrinsic twist, regardless of the degree of chirality. Lastly, on the basis of weakly nonlinear analysis, we find that the bifurcation is supercritical in the sense that the postbuckling solution of chiral elastic rings is stable for sufficiently large degree of chirality, regardless of the twist-to-bend ratio. This result is contrary to the postbuckling of elastic rings with intrinsic twist but no chirality in which the bifurcation is supercritical only for sufficiently large twist-to-bend ratio.

研究了由具有固有扭曲的手性长丝制成的不可延展环的后屈曲。我们表明，手性弹性环屈曲的内在扭曲的临界量可能大于没有手性的屈曲的临界量，这取决于手性的程度和扭曲-弯曲比。而且，相对于长丝的抗弯刚度增加抗扭刚度可以提高固有扭曲的临界量，而与手性程度无关。最后，在弱非线性分析的基础上，我们发现分叉是超临界的，即手性弹性环的后屈曲解对于足够大的手性而言是稳定的，而与扭曲-弯曲比无关。