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可弯曲薄膜的毛细变形。

Capillary deformations of bendable films.

机构信息

Physics Department, University of Massachusetts, Amherst, Massachusetts 01003, USA.

出版信息

Phys Rev Lett. 2013 Jul 5;111(1):014301. doi: 10.1103/PhysRevLett.111.014301. Epub 2013 Jul 3.

DOI:10.1103/PhysRevLett.111.014301
PMID:23863002
Abstract

We address the partial wetting of liquid drops on ultrathin solid sheets resting on a deformable foundation. Considering the membrane limit of sheets that can relax compression through wrinkling at negligible energetic cost, we revisit the classical theory for the contact of liquid drops on solids. Our calculations and experiments show that the liquid-solid-vapor contact angle is modified from the Young angle, even though the elastic bulk modulus (E) of the sheet is so large that the ratio between the surface tension γ and E is of molecular size. This finding indicates a new elastocapillary phenomenon that stems from the high bendability of very thin elastic sheets rather than from material softness. We also show that the size of the wrinkle pattern that emerges in the sheet is fully predictable, thus resolving a puzzle in modeling "drop-on-a-floating-sheet" experiments and enabling a quantitative, calibration-free use of this setup for the metrology of ultrathin films.

摘要

我们研究了液体滴在超薄固体薄片上的部分润湿问题,这些薄片位于可变形的基底上。考虑到薄片可以通过在几乎没有能量成本的情况下起皱来松弛压缩的膜极限,我们重新审视了关于液体滴在固体上接触的经典理论。我们的计算和实验表明,即使薄片的弹性体模量(E)非常大,以至于表面张力γ与 E 的比值为分子大小,液体-固体-蒸汽的接触角也会偏离杨氏角。这一发现表明了一种新的弹性毛细现象,它源于非常薄的弹性薄片的高弯曲性,而不是材料的柔软性。我们还表明,薄片中出现的皱纹图案的大小是完全可以预测的,从而解决了在“漂浮薄片上的液滴”实验建模中的一个难题,并使这种设置能够用于超薄膜的计量学,而无需进行定量校准。

相似文献

1
Capillary deformations of bendable films.可弯曲薄膜的毛细变形。
Phys Rev Lett. 2013 Jul 5;111(1):014301. doi: 10.1103/PhysRevLett.111.014301. Epub 2013 Jul 3.
2
Surfactant solutions and porous substrates: spreading and imbibition.表面活性剂溶液与多孔基质:铺展与吸液
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3
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5
Elastic sheet on a liquid drop reveals wrinkling and crumpling as distinct symmetry-breaking instabilities.液体微滴上的弹性薄片揭示了作为截然不同的对称性破缺不稳定性的起皱和褶皱现象。
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6
Contact angles on a soft solid: from Young's law to Neumann's law.软固体上的接触角:从杨氏定律到诺依曼定律。
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7
Partial wetting of thin solid sheets under tension.拉伸作用下的薄固体片的部分润湿。
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Capillary wrinkling of floating thin polymer films.漂浮薄聚合物薄膜的毛细管皱缩
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引用本文的文献

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Langmuir. 2023 Sep 12;39(36):12610-12617. doi: 10.1021/acs.langmuir.3c01259. Epub 2023 Aug 25.
2
Van der Waals interaction affects wrinkle formation in two-dimensional materials.范德华相互作用影响二维材料中的皱纹形成。
Proc Natl Acad Sci U S A. 2021 Apr 6;118(14). doi: 10.1073/pnas.2025870118.
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Mesoscale structure of wrinkle patterns and defect-proliferated liquid crystalline phases.
褶皱图案和缺陷增殖液晶相的介观结构。
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Quick liquid packaging: Encasing water silhouettes by three-dimensional polymer membranes.快速液体封装:通过三维聚合物膜包裹水的轮廓。
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5
Arcuate wrinkling on stiff film/compliant substrate induced by thrust force with a controllable micro-probe.由可控微探针的推力在刚性薄膜/柔性基底上引起的弧形褶皱。
Eur Phys J E Soft Matter. 2018 Aug 6;41(8):89. doi: 10.1140/epje/i2018-11700-2.
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Evolution of local wrinkles near defects on stiff film/compliant substrate.刚性薄膜/柔性基底上缺陷附近局部皱纹的演变
Eur Phys J E Soft Matter. 2018 Mar 19;41(3):31. doi: 10.1140/epje/i2018-11637-4.
7
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Liquid droplets on a free-standing glassy membrane: Deformation through the glass transition.自支撑玻璃膜上的液滴:通过玻璃化转变的变形
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9
Regimes of wrinkling in pressurized elastic shells.受压弹性壳中的褶皱形态
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Elastic membranes in confinement.受限环境中的弹性膜。
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