Physics

Bendability parameter for twisted ribbons to describe longitudinal wrinkling and delineate the near-threshold regime

Document Type

Article

Abstract

We propose a dimensionless bendability parameter, ϵ-1=[(h/W)2T-1]-1, for wrinkling of thin, twisted ribbons with thickness h, width W, and tensional strain T. Bendability permits efficient collapse of data for wrinkle onset, wavelength, critical stress, and residual stress, demonstrating longitudinal wrinkling's primary dependence on this parameter. This parameter also allows us to distinguish the highly bendable range (ϵ-1>20) from moderately bendable samples (ϵ-1∈(0,20]). We identify scaling relations to describe longitudinal wrinkles that are valid across our entire set of simulated ribbons. When restricted to the highly bendable regime, simulations confirm theoretical near-threshold (NT) predictions for wrinkle onset and wavelength.

Publication Title

Physical Review E

Publication Date

5-2024

Volume

109

Issue

5

ISSN

2470-0045

DOI

10.1103/PhysRevE.109.L053001

Keywords

critical stress, near thresholds, scaling relations, twisted ribbon

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