液滴位于薄弹性片上的研究：边界元方法
Droplets sitting on thin elastic sheets: A study with the boundary element method
AI总结：
采用边界元方法模拟液滴在弹性片上的平衡形状，研究片材厚度、各向同性拉伸和单向拉伸对液滴形态及弹性应力的影响。
摘要：
液滴润湿弹性片的弹-毛细作用为基础和应用研究提供了一个有趣的系统。液滴沉入片中并呈现透镜形状。为了在模拟中确定平衡形状，我们制定了一种边界元方法（BEM），扩展了我们之前的方法，并将BEM应用于片材边界条件的三种特定协议。对于夹紧的弹性片，我们使用各种形态指标证明透镜形状关键取决于片材厚度。各向同性拉伸片材，允许额外的控制参数影响液滴形状和片材中的张力，我们通过方位角和径向弹性应力的径向剖面来量化。我们进一步展示了如何通过改变施加的张力来调节液体透镜的焦距。最后，沿一个方向拉伸片材，使液滴拉长，片材出现褶皱和凹坑。
英文摘要：
Elasto-capillarity of a droplet wetting an elastic sheet provides an interesting system, both for fundamental and applied research. The droplet sinks into the sheet and assumes the shape of a lens. To determine the equilibrium shape in simulations, we formulate a boundary element method (BEM) extending our earlier approaches, and apply the BEM to three specific protocols for the boundary conditions of the sheet. For a clamped elastic sheet, we use various morphological metrics to demonstrate that the lens shape crucially depends on the sheet thickness. Stretching the sheet isotropically, allows for an additional control parameter to influence the droplet shape and the tension in the sheet, which we quantify by radial profiles of the azimuthal and radial elastic stresses. We further demonstrate how the focal length of a liquid lens can be tuned by varying the applied tension. Finally, stretching the sheet along one direction, elongates the droplet, and the sheet shows folds and dimples.
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