Audoly B
CNRS, UPMC Univ Paris 06, UMR 7190, Institut Jean Le Rond d'Alembert, F-75005 Paris, France.
Phys Rev E Stat Nonlin Soft Matter Phys. 2011 Jul;84(1 Pt 1):011605. doi: 10.1103/PhysRevE.84.011605. Epub 2011 Jul 12.
We study the buckling of a two-dimensional elastica floating on a bath of dense fluid, subjected to axial compression. The sinusoidal pattern predicted by the analysis of linear stability is shown to become localized above the buckling threshold. A nonlinear amplitude equation is derived for the envelope of the pattern. These results provide a simple interpretation to the wrinkle-to-fold transition reported by Pocivavsek et al. [Science 320, 912 (2008)]. An analogy with the classical problem of the localized buckling of a strut on a nonlinear elastic foundation is presented.
我们研究了二维弹性杆漂浮在稠密流体浴中并承受轴向压缩时的屈曲情况。线性稳定性分析预测的正弦模式在屈曲阈值以上会局域化。我们推导了该模式包络的非线性振幅方程。这些结果为Pocivavsek等人[《科学》320, 912 (2008)]报道的皱纹到褶皱转变提供了一个简单的解释。文中还给出了与非线性弹性基础上支柱的局域屈曲经典问题的类比。
