Curvature-affected instabilities in membranes and surfaces: A review

XU Fan; YANG Yifan; WANG Ting

doi:10.6052/1000-0992-20-038

Volume 51 Issue 2

Jun. 2021

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Xu F, Yang Y F, Wang T. Curvature-affected instabilities in membranes and surfaces: A review. Advances in Mechanics, 2021, 51(2): 342-363 doi: 10.6052/1000-0992-20-038

Citation:

Xu F, Yang Y F, Wang T. Curvature-affected instabilities in membranes and surfaces: A review. Advances in Mechanics, 2021, 51(2): 342-363 doi: 10.6052/1000-0992-20-038

Xu F, Yang Y F, Wang T. Curvature-affected instabilities in membranes and surfaces: A review. Advances in Mechanics, 2021, 51(2): 342-363 doi: 10.6052/1000-0992-20-038

Citation:

Xu F, Yang Y F, Wang T. Curvature-affected instabilities in membranes and surfaces: A review. Advances in Mechanics, 2021, 51(2): 342-363 doi: 10.6052/1000-0992-20-038

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Curvature-affected instabilities in membranes and surfaces: A review

doi: 10.6052/1000-0992-20-038

Institute of Mechanics and Computational Engineering, Department of Aeronautics and Astronautics, Fudan University, Shanghai 200433, China

More Information

Corresponding author: fanxu@fudan.edu.cn
Received Date: 2020-12-26
Accepted Date: 2021-04-19

Available Online: 2021-05-01

Publish Date: 2021-06-25

Abstract

Abstract

Instability of soft materials and membrane structures usually shows similar wrinkling patterns across length scales, which has aroused considerable interest in the past twenty years. Curvature and mechanics are intimately connected in thin-film structures, and curvature plays a key role in the critical threshold, mode selection, and post-buckling evolution. Here, we review the advancement of instability mechanics of thin-film structures in the past two decades, from planar to curved geometry, focusing on the curvature-affected instability of stretched membranes and film-substrate systems under various stimuli. Development of the theoretical models and numerical methods of finite strain plate/shell advances fundamental understanding, quantitative prediction, and tracking of multiple bifurcation transitions in morphology and shape of thin-film structures. It not only promotes the in-depth insight into instability mechanism but also guides wrinkle-resistant control and the effective design of morphology-related multifunctional surfaces and membrane structures via harnessing instability.
- thin films,
- curvature,
- wrinkling,
- bifurcation,
- large deformation

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References(111)

References

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