Overdamped Stress Relaxation in Buckled Rods
Abstract
We present a comprehensive theoretical analysis of the stress relaxation in a multiply but weakly buckled incompressible rod in a viscous solvent. In the bulk two interesting regimes of generic self--similar intermediate asymptotics are distinguished, which give rise to two classes of approximate and exact power--law solutions, respectively. For the case of open boundary conditions the corresponding non--trivial boundary--layer scenarios are derived by a multiple--scale perturbation (``adiabatic'') method. Our results compare well with -- and provide the theoretical explanation for -- previous results from numerical simulations, and they suggest new directions for further fruitful numerical and experimental investigations.
Cite
@article{arxiv.cond-mat/0402082,
title = {Overdamped Stress Relaxation in Buckled Rods},
author = {Oskar Hallatschek and Erwin Frey and Klaus Kroy},
journal= {arXiv preprint arXiv:cond-mat/0402082},
year = {2007}
}
Comments
20 pages, 12 figures