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

作　　者：俞慧婷 王雨[1] 黄再兴[1] YU Huiting;WANG Yu;HUANG Zaixing(State Key Laboratory of Mechanics and Control for Aerospace Structures,Nanjing University of Aeronautics and Astronautics,Nanjing 210016,P.R.China)

机构地区：[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

出　　处：《应用数学和力学》2024年第12期1530-1540,共11页Applied Mathematics and Mechanics

基　　金：国家自然科学基金(11172130,12072145)。

摘　　要：当软物质微/纳米结构表面存在液滴时,需要考虑由润湿诱导的弹性毛细变形.该文基于一个新的润湿方程,推导了液滴铺展半径与其表面曲率的关系,并得到了无重力影响时液滴保持球冠状的必要条件;结合Winkler地基模型,计算了弹性基底上软物质微梁的弹性毛细变形,得到了微梁挠度的解析解.以聚苯乙烯(EPS)和聚乙烯(PE)梁为例,分析并讨论了液滴铺展半径、弹性模量和基底参数对微梁的挠曲变形以及从基底上脱黏的影响.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 

分 类 号：O343.2[理学—固体力学]