viscous fluid中长丝的动态弯曲和强化
Dynamic wrinkling and strengthening of a filament in a viscous fluid
摘要：
我们研究了弹性细丝浸没在粘性流体中以有限速率压缩的螺旋动力学，并结合了几何非线性、弹性和细长体理论。阻力引起长丝的动态横向增强，导致随时间变粗的皱纹的生长。我们发现了一个新的动力学制度，其特征在于一个时间尺度与非平凡的依赖于加载速率，其中的不稳定性的增长是超指数和波数是加载速率的递增函数。我们发现，这个时间尺度可以被解释为特征的时间，在该时间内的长丝从可延伸的过渡到不可延伸的制度。与我们对移动边界条件的分析相反，Biot在无限快加载极限下的分析导致了与速率无关的指数增长和波长。
英文摘要：
We investigate the wrinkling dynamics of an elastic filament immersed in a viscous fluid submitted to compression at a finite rate with experiments and by combining geometric nonlinearities, elasticity, and slender body theory. The drag induces a dynamic lateral reinforcement of the filament leading to growth of wrinkles that coarsen over time. We discover a new dynamical regime characterized by a timescale with a non-trivial dependence on the loading rate, where the growth of the instability is super-exponential and the wavenumber is an increasing function of the loading rate. We find that this timescale can be interpreted as the characteristic time over which the filament transitions from the extensible to the inextensible regime. In contrast with our analysis with moving boundary conditions, Biot's analysis in the limit of infinitely fast loading leads to rate independent exponential growth and wavelength.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
