Dynamic Wrinkling and Strengthening of an Elastic Filament in a Viscous Fluid - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Physical Review Letters Année : 2017

Dynamic Wrinkling and Strengthening of an Elastic Filament in a Viscous Fluid

Résumé

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 time scale with a nontrivial dependence on the loading rate, where the growth of the instability is superexponential and the wave number is an increasing function of the loading rate. We find that this time scale 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.
Fichier principal
Vignette du fichier
PhysRevLett.119.088001 (1).pdf (540.62 Ko) Télécharger le fichier
Origine : Fichiers éditeurs autorisés sur une archive ouverte
Loading...

Dates et versions

hal-01584228 , version 1 (06-12-2017)

Identifiants

Citer

Julien Chopin, Moumita Dasgupta, Arshad Kudrolli. Dynamic Wrinkling and Strengthening of an Elastic Filament in a Viscous Fluid. Physical Review Letters, 2017, 119 (8), pp.088001. ⟨10.1103/PhysRevLett.119.088001⟩. ⟨hal-01584228⟩
101 Consultations
113 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More