Overdamped Stress Relaxation in Buckled Rods

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dc.creatorHallatschek, Oskar
dc.creatorFrey, Erwin
dc.creatorKroy, Klaus
dc.date2004-02-03
dc.date.accessioned2026-07-07T02:56:16Z
dc.date.available2026-07-07T02:56:16Z
dc.descriptionWe 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.
dc.description20 pages, 12 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0402082
dc.identifierhttp://arxiv.org/abs/cond-mat/0402082
dc.identifierPhys. Rev. E 70, 031802 (2004)
dc.identifierdoi:10.1103/PhysRevE.70.031802
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/23254
dc.subjectSoft Condensed Matter
dc.titleOverdamped Stress Relaxation in Buckled Rods
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