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利用耗散力粒子动力学模拟方法研究了拉伸状态下双层膜的抗弯刚度与膜孔线张力之间的关系.通过对双层膜在不同投影面积约束下的系统模拟,观察到3个区域:自由振动膜、伸展膜和穿孔膜.由前两个区域的应力张量计算得到的膜的面张力(σΣ)与拟合膜波动性质得到的面张力(σfluc)吻合的很好,除去在两区域的转变点附近σfluc略大于σΣ.当考虑在经典Helfrich弹性膜模型中被忽略的膜厚度时,线张力可以和抗弯刚度用一个简单的模型联系起来.通过对穿孔膜区域的数据进行分析,证明由本模型得到的抗弯刚度与拟合膜波动性质得到的抗弯刚度符合的很好.由此提出一种简便的测量方法,通过计算拉伸膜孔的面张力和统计膜厚度,拟合这个简单模型来测量膜的抗弯刚度.
The relationship between the flexural rigidity of bilayer films under tension and the tension of film holes was studied by the method of dissipative force particle dynamics simulation. By simulating the bilayer films under the constraints of different projection areas, it was observed that 3 Zone: free vibration, stretch film and perforated film.The surface tension (σΣ) calculated from the stress tensor of the first two regions is in good agreement with the surface tension (σfluc) obtained from the fluctuation property of the film, Except that the σfluc is slightly larger than σΣ near the transition point between the two regions. When considering the film thickness neglected in the classical Helfrich model, the line tension can be related to the bending stiffness by a simple model. The results show that the flexural rigidity obtained by this model is in good agreement with the flexural rigidity obtained by fitting the fluctuating properties of the membrane.This paper presents a simple and convenient measurement method by calculating the surface tension of the stretched film and the statistical film Thickness, fit this simple model to measure the flexural rigidity of the film.