A Twisted Filament and Its Helix Structure Formation

Author:

Ougizawa Michiko1,Ikeda Hiroko1,Hasebe Yae1,Nakanishi Tadashi1,Ogawa Shojirou1,Aikawa Yoshihiro1

Affiliation:

1. Department of Life Science and Technology, Ochanomizu University, Bunkyo-ku, Tokyo 112-8610, Japan

Abstract

The relation is investigated between the wave number k0 of a twisted polypropylene filament and the wave number k1 of the double helix composed of the filaments. The sum of the wave numbers is zero, illustrating the rule of wave number conservation unless the product t = ka of the wave number k and radius a of the filament is large. The deviation from the rule Δ t is proportional to t03 ≡ k03 a3, and the proportionality constant y is equal to the elasticity/rigidity ratio E/G.

Publisher

SAGE Publications

Subject

Polymers and Plastics,Chemical Engineering (miscellaneous)

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