Leembruggen Madelyn, Andrejevic Jovana, Kudrolli Arshad, Rycroft Chris H
Department of Physics, Harvard University, Cambridge, Massachusetts 02138, USA.
Department of Physics, University of Pennsylvania, Philadelphia, Pennsylvania 19104, USA.
Phys Rev E. 2024 May;109(5):L053001. doi: 10.1103/PhysRevE.109.L053001.
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^{-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.
我们提出了一个无量纲的可弯曲性参数ε⁻¹ = [(h/W)²T⁻¹]⁻¹，用于研究具有厚度h、宽度W和拉伸应变T的薄扭转带的起皱现象。可弯曲性能够有效地归纳起皱起始、波长、临界应力和残余应力的数据，表明纵向起皱主要依赖于该参数。这个参数还使我们能够区分高可弯曲范围（ε⁻¹ > 20）和中等可弯曲样本（ε⁻¹ ∈(0,20]）。我们确定了标度关系来描述纵向皱纹，这些关系在我们所有模拟带的集合中都是有效的。当限制在高可弯曲状态时，模拟结果证实了关于起皱起始和波长的理论近阈值（NT）预测。
