Tendril perversion in intrinsically curved rods
type: Item
instance of: scholarly article
title: Tendril perversion in intrinsically curved rods
zbMATH Open document ID: 1100.74575
author: Alain Goriely
author: Tyler McMillen
published in: Journal of Nonlinear Science
publication date: 2002-12-01T00:00:00Z
review text: This article deals with an inversion of handedness, or chirality, of a thin elastic rod with a certain structure along its axial coordinate, which the authors call intrinsic curvature. The inversion is known as a perversion phenomena, e.g., of a tendril. They modify the static Kirchhoff equations in order to describe the handedness phenomena of such a elastic rod in the framework of the elastic curve theory and investigate such an elastic rod in detail. By decomposing its normal and axial structure, they investigate the perversion as heteroclinic connections and bifurcation phenomena.
reviewed by: Shigeki Matsutani
Mathematics Subject Classification ID: 74K10
Mathematics Subject Classification ID: 37N15
Mathematics Subject Classification ID: 37N25
Mathematics Subject Classification ID: 74L15
zbMATH DE Number: 1837430
zbMATH Keywords: thin elastic rod
zbMATH Keywords: handedness
zbMATH Keywords: perversion
zbMATH Keywords: bifurcation
zbMATH Keywords: helicity
zbMATH Keywords: heteroclinic orbit
MaRDI profile type: Publication
full work available at URL: s00332-002-0493-1
OpenAlex ID: W15911136
DOI: 10.1007/S00332-002-0493-1
description: scientific article; zbMATH DE number 1837430