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弹性基底上软物质梁的弹性毛细变形

俞慧婷 王雨 黄再兴

应用数学和力学2024,Vol.45Issue(12):1530-1540,11.
应用数学和力学2024,Vol.45Issue(12):1530-1540,11.DOI:10.21656/1000-0887.450028

弹性基底上软物质梁的弹性毛细变形

Elastocapillary Deformation of Soft Matter Beams on Elastic Substrate

俞慧婷 1王雨 1黄再兴1

作者信息

  • 1. 南京航空航天大学航空航天结构力学及控制全国重点实验室,南京 210016
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摘要

Abstract

With droplets on the surface of soft matter or micro/nanostructures,wetting-induced elastocapillary deformation should be considered.Based on a new wetting equation,the relationship between the droplet spreading radius and its surface curvature was determined,and the necessary conditions for the droplet to hold the spherical cap without the influence of gravity were obtained.Combined with the Winkler foundation model,the elastocapillary deformation of soft material microbeam on elastic substrate was calculated.The analytical solution for the deflection of the microbeam was given.With polystyrene and polyethylene beams as examples,the influences of the droplet spreading radius,the beam material elastic modulus and the Winkler foundation parameter on the microbeam deflections and detachments from the substrate,were analyzed and discussed.

关键词

润湿/弹性毛细变形/Winkler地基模型/软物质/微梁

Key words

wetting/elastocapillary deformation/Winkler foundation model/soft matter/microbeam

分类

力学

引用本文复制引用

俞慧婷,王雨,黄再兴..弹性基底上软物质梁的弹性毛细变形[J].应用数学和力学,2024,45(12):1530-1540,11.

基金项目

国家自然科学基金(11172130 ()

12072145) ()

应用数学和力学

OA北大核心CSTPCD

1000-0887

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