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Simulation of a soap film spanning a flexible loop
International Journal of Non-Linear Mechanics ( IF 3.2 ) Pub Date : 2020-04-28 , DOI: 10.1016/j.ijnonlinmec.2020.103497
Abdul Majid

A numerical approach is presented to find the equilibrium solutions of a soap film spanning a flexible but inextensible boundary (Giomi and Mahadevan 2012). Various shapes of the soap films are quantified in terms of a dimensionless parameter. Numerical stability and bifurcation analysis is performed. Specifically, estimates of two critical values of the bifurcation parameter responsible for the onset of non-planar shape and first self contact in plane are provided. These two critical values are not known analytically.



中文翻译:

模拟跨越柔性环的肥皂膜

提出了一种数值方法来寻找跨越柔性但不可延伸边界的肥皂膜的平衡解(Giomi和Mahadevan 2012)。皂膜的各种形状根据无量纲参数进行量化。进行数值稳定性和分叉分析。具体而言,提供了分叉参数的两个临界值的估计值,该临界值负责非平面形状的开始和平面内的第一自接触。这两个临界值在分析上未知。

更新日期:2020-04-28
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