New amplitude equations for thin elastic rods

Alain Goriely, Michael Tabor

Research output: Contribution to journalArticle

43 Citations (Scopus)

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
StatePublished - 1996

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rods
filaments
solitary waves
perturbation

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

New amplitude equations for thin elastic rods. / Goriely, Alain; Tabor, Michael.

In: Physical Review Letters, Vol. 77, No. 17, 1996, p. 3537-3540.

Research output: Contribution to journalArticle

Goriely, A & Tabor, M 1996, 'New amplitude equations for thin elastic rods', Physical Review Letters, vol. 77, no. 17, pp. 3537-3540.
Goriely, Alain ; Tabor, Michael. / New amplitude equations for thin elastic rods. In: Physical Review Letters. 1996 ; Vol. 77, No. 17. pp. 3537-3540.
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