Wrinkling dynamics accelerate due to sudden changes in boundary conditions

We investigate the wrinkling dynamics of a long, flat filament immersed in a viscous fluid subjected to compression at a constant rate. Typical wrinkling dynamics proceed through three stages: initiation, development, and relaxation. The first stage, during which high mode perturbations increase exponentially while the shape and filament tension remain almost unchanged, is notably longer in the linear and nonlinear simulations than in the experiments by Chopin et al. [Phys. Rev. Lett. 119, 088001 (2017)10.1103/PhysRevLett.119.088001]. We propose that sudden environmental changes introduce extra high-frequency perturbations beyond thermal fluctuations, which significantly accelerates the first stage. This effect is universal and inevitable for similar processes given the experimental conditions. Finally, we analyze the relationship between the initial perturbations and the duration of the first stage.

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Publication Details

Journal
Physical review. E
Published
2025-12-22
DOI
https://doi.org/10.1103/18yj-mqqz
Primary Topic
Advanced Materials and Mechanics
Type
article
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article

Wrinkling dynamics accelerate due to sudden changes in boundary conditions

John Lowengrub, Xiao Wang, Shuwang Li, Anonymous et al.
Physical review. E
Advanced Materials and Mechanics
article

Wrinkling dynamics accelerate due to sudden changes in boundary conditions

John Lowengrub, Xiao Wang, Shuwang Li, Anonymous, Meng Zhao
article en

Abstract

We investigate the wrinkling dynamics of a long, flat filament immersed in a viscous fluid subjected to compression at a constant rate. Typical wrinkling dynamics proceed through three stages: initiation, development, and relaxation. The first stage, during which high mode perturbations increase exponentially while the shape and filament tension remain almost unchanged, is notably longer in the linear and nonlinear simulations than in the experiments by Chopin et al. [Phys. Rev. Lett. 119, 088001 (2017)10.1103/PhysRevLett.119.088001]. We propose that sudden environmental changes introduce extra high-frequency perturbations beyond thermal fluctuations, which significantly accelerates the first stage. This effect is universal and inevitable for similar processes given the experimental conditions. Finally, we analyze the relationship between the initial perturbations and the duration of the first stage.

Physical review. EVol. 113(1)
Illinois Institute of Technology (US), University of California, Irvine (US), Beijing Normal University (CN), Huazhong University of Science and Technology (CN)
Life in Land
Openalex Percentile: Top 45%
Advanced Materials and Mechanics
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