Wrinkling and imaging of thin curved sheets.

IF 2.2 3区 物理与天体物理 Q2 PHYSICS, FLUIDS & PLASMAS
Megha Emerse, Lucas Goehring
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引用次数: 0

Abstract

Thin films or sheets subjected to external forces often undergo mechanical instability, leading to regular patterns of wrinkles, folds, and creases. As can be anticipated from the difficulty of flattening a curved globe, any natural curvature of the sheet will have a strong influence on these instabilities. Here, we develop a noninvasive synthetic schlieren imaging technique to image and reconstruct the surface of wrinkling curved sheets, confined to float on water. Our method circumvents the small-amplitude limit of related imaging techniques, and we demonstrate robust means to estimate the reconstruction accuracy. We then evaluate how the sign and magnitude of Gaussian curvature affect the wrinkling of thin curved sheets, and compare observations of the wrinkle wavelength, amplitude, and domain structure with recent theoretical predictions. While generally validating model predictions, we find that the assumption of a conserved surface area during wrinkling should be treated with some care. The control of wrinkling behavior demonstrated here can have applications in the design of liquid lenses, microfluidics, active textured surfaces, and flexible electronic components.

弯曲薄板的起皱和成像。
薄膜或薄片在外力作用下经常发生机械不稳定性,导致有规则的褶皱、折痕和折痕。从使弯曲的球体变平的难度可以预见,薄片的任何自然曲率都会对这些不稳定性产生强烈的影响。在此,我们开发了一种无创合成纹影成像技术,用于成像和重建被限制在水面上的起皱弯曲片的表面。我们的方法绕过了相关成像技术的小振幅限制,并且我们展示了估计重建精度的鲁棒方法。然后,我们评估了高斯曲率的符号和大小如何影响薄弯曲片的起皱,并将皱纹波长、幅度和域结构的观测结果与最近的理论预测进行了比较。虽然一般验证模型预测,我们发现,假设一个保守的表面面积在起皱期间应该处理一些小心。这里展示的褶皱行为控制可以应用于液体透镜、微流体、有源纹理表面和柔性电子元件的设计。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Physical Review E
Physical Review E PHYSICS, FLUIDS & PLASMASPHYSICS, MATHEMAT-PHYSICS, MATHEMATICAL
CiteScore
4.50
自引率
16.70%
发文量
2110
期刊介绍: Physical Review E (PRE), broad and interdisciplinary in scope, focuses on collective phenomena of many-body systems, with statistical physics and nonlinear dynamics as the central themes of the journal. Physical Review E publishes recent developments in biological and soft matter physics including granular materials, colloids, complex fluids, liquid crystals, and polymers. The journal covers fluid dynamics and plasma physics and includes sections on computational and interdisciplinary physics, for example, complex networks.
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