New amplitude equations for thin elastic rods

Alain Goriely, Michael Tabor

Research output: Contribution to journalArticle

44 Scopus citations

Abstract

The stability of twisted straight rods is described within the framework of the time dependent Kirchhoff equations for thin elastic filaments. A perturbation method is developed to study the linear stability of this problem and find the dispersion relations. A nonlinear analysis results in a new amplitude equation, describing the deformation of the rod beyond the instability, which takes the form of a pair of nonlinear, second-order evolution equations coupling the local deformation amplitude to the twist density. Various solutions, such as solitary waves, are presented.

Original languageEnglish (US)
Pages (from-to)3537-3540
Number of pages4
JournalPhysical review letters
Volume77
Issue number17
DOIs
StatePublished - Jan 1 1996

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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