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

Journal Article · 10 May 2024 · Physical Review. E

DOI: https://doi.org/10.1103/physreve.109.l053001 · OSTI ID:2406220

Leembruggen, Madelyn  ^[1]; Andrejevic, Jovana  ^[2]; Kudrolli, Arshad  ^[3]; Rycroft, Chris H.  ^[4]

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1. Harvard Univ., Cambridge, MA (United States)
2. Univ. of Pennsylvania, Philadelphia, PA (United States)
3. Clark Univ., Worcester, MA (United States)
4. Univ. of Wisconsin, Madison, WI (United States); Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)

We propose a dimensionless bendability parameter, ε^-1=[(h/W)²⁢T^-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^-1ϵ(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.

• Research Organization: Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
• Sponsoring Organization: USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR); National Science Foundation (NSF)
• Grant/Contract Number: AC02-05CH11231
• OSTI ID: 2406220
• Journal Information: Physical Review. E, Journal Name: Physical Review. E Journal Issue: 5 Vol. 109; ISSN 2470-0045
• Publisher: American Physical Society (APS)Copyright Statement
• Country of Publication: United States
• Language: English