A new twist in the kinematics and elastic dynamics of thin filaments and ribbons

I. Klapper; M. Tabor

doi:10.1088/0305-4470/27/14/019

A new twist in the kinematics and elastic dynamics of thin filaments and ribbons

I. Klapper, M. Tabor

Applied Mathematics

Research output: Contribution to journal › Article › peer-review

25 Scopus citations

Abstract

A formula governing the evolution of twist in moving filaments or ribbons of finite extent is derived. This evolution is shown to be made up of a 'dynamic' part corresponding to physical properties of the filament or ribbon and a 'geometric' part due to the motion of the filament or ribbon core itself. These results are used to extend classical elastic rod theory to the case of motion including dynamically evolving twist. In addition, the averaged geometric contribution is noted to be minus the time rate of change of the writhing number and it is shown that the writhe is a conserved quantity for closed filaments moving according to certain integrable curve dynamics.

Original language	English (US)
Article number	019
Pages (from-to)	4919-4924
Number of pages	6
Journal	Journal of Physics A: Mathematical and General
Volume	27
Issue number	14
DOIs	https://doi.org/10.1088/0305-4470/27/14/019
State	Published - 1994

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics
General Physics and Astronomy

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abstract = "A formula governing the evolution of twist in moving filaments or ribbons of finite extent is derived. This evolution is shown to be made up of a 'dynamic' part corresponding to physical properties of the filament or ribbon and a 'geometric' part due to the motion of the filament or ribbon core itself. These results are used to extend classical elastic rod theory to the case of motion including dynamically evolving twist. In addition, the averaged geometric contribution is noted to be minus the time rate of change of the writhing number and it is shown that the writhe is a conserved quantity for closed filaments moving according to certain integrable curve dynamics.",

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AB - A formula governing the evolution of twist in moving filaments or ribbons of finite extent is derived. This evolution is shown to be made up of a 'dynamic' part corresponding to physical properties of the filament or ribbon and a 'geometric' part due to the motion of the filament or ribbon core itself. These results are used to extend classical elastic rod theory to the case of motion including dynamically evolving twist. In addition, the averaged geometric contribution is noted to be minus the time rate of change of the writhing number and it is shown that the writhe is a conserved quantity for closed filaments moving according to certain integrable curve dynamics.

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A new twist in the kinematics and elastic dynamics of thin filaments and ribbons

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