Dynamic buckling of morphoelastic filaments

作     者：Raymond E. Goldstein Alain Goriely 

作者机构：Department of Physics University of Arizona Tucson Arizona 85721 USA BIO5 Institute University of Arizona Tucson Arizona 85721 USA Program in Applied Mathematics University of Arizona Tucson Arizona 85721 USA Department of Mathematics University of Arizona Tucson Arizona 85721 USA 

出 版 物：《Physical Review E》 (物理学评论E辑：统计、非线性和软体物理学)

年 卷 期：2006年第74卷第1期

页      面：010901(R)-010901(R)页

核心收录：

学科分类：07[理学] 070203[理学-原子与分子物理] 0702[理学-物理学] 

基　　金：National Institute of General Medical Sciences, NIGMS, (R01GM072004) National Institute of General Medical Sciences, NIGMS 

主　　题：VISCOELASTIC ROD TENDRIL PERVERSION CELL 

摘      要：The equilibrium shapes of biological structures as diverse as plant tendrils and bacterial filaments can be altered by externally imposed stresses of sufficient duration. We study the simplest model for this morphoelasticity—a filament whose intrinsic curvatures relax to the local curvatures—and illustrate its properties in the context of dynamic Euler buckling and writhing. When a thrust or twist is ramped in time the effective elastic properties of the filament depend on the load rate. Slow ramps interrupted by removal of the external forces can leave in equilibrium any of a whole continuum of buckled shapes. Morphoelastic relaxation can also allow a filament to bypass a bifurcation.