论文标题

拉伸软固体上的接触线:建模各向异性表面应力

Contact lines on stretched soft solids: Modeling anisotropic surface stresses

论文作者

Heyden, Stefanie, Bain, Nicolas, Xu, Qin, Style, Robert W, Dufresne, Eric R

论文摘要

我们提出了由于大型液滴的静态润湿而使拉伸软底物变形的完全分析溶液,并将我们的溶液与最近发表的实验进行了比较(Xu等,Soft Matter 2018)。遵循绿色的功能方法,我们扩展了表面压力正规化的火焰 - cruti问题,以解释基板的单轴固定。为线性化和有限的运动学提供了表面剖面,包括润湿脊的高度和开口角。我们使用两个自由参数(表面la脚系数)拟合实验性润湿脊形状作为施加应变的函数。与实验相比,我们发现观察到的开口角是使用有限运动学更精确捕获的,尤其是随着应用的预元水平升高。这些符合Xu等人的结果,但修改了表面弹性常数的值。

We present fully analytical solutions for the deformation of a stretched soft substrate due to the static wetting of a large liquid droplet, and compare our solutions to recently published experiments (Xu et al, Soft Matter 2018). Following a Green's function approach, we extend the surface-stress regularized Flamant-Cerruti problem to account for uniaxial pre-strains of the substrate. Surface profiles, including the heights and opening angles of wetting ridges, are provided for linearized and finite kinematics. We fit experimental wetting ridge shapes as a function of applied strain using two free parameters, the surface Lame coefficients. In comparison with experiments, we find that observed opening angles are more accurately captured using finite kinematics, especially with increasing levels of applied pre-strain. These fits qualitatively agree with the results of Xu et al, but revise values of the surface elastic constants.

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