Deformation of thin elastic sheet due to electrostatic forces play important role in engineering and biological systems. In this work, we analyze the deformation of thin elastic sheet, while interacting with a rigid curved domain in the presence of dielectric fluid. Mechanical deformation of the sheet is coupled with the electrostatic interaction in its equilibrium configuration. We consider small deformation of the sheet, which obeys Hooke’s law. The electrostatic forces acting between the sheet and curved domain are calculated by using Debye–Hückel equation. It is observed that the sheet deformation is proportional to the electrostatic forces acting on it. Increase in inverse Debye length (which signifies the strength of electrostatic field) of the dielectric fluid decreases the sheet deformation. With the help of present model, binding mechanism between peripheral BAR proteins and cell membrane is studied by treating cell membrane as an elastic membrane and BAR protein as a rigid curved domain. For small curvature of BAR protein, the present model captures very well the scaffolding mechanism of protein binding. This model can also be used to analyze problems in electrophotography, powder technology, semiconductor and pharmaceutical industries.

静电力导致的弹性薄板变形在工程和生物系统中起重要作用。在这项工作中，我们分析了薄的弹性片的变形，同时在电介质存在的情况下与刚性弯曲域相互作用。薄板的机械变形与平衡结构中的静电相互作用有关。我们考虑板的微小变形，这符合胡克定律。利用Debye-Hückel方程计算作用在薄板和弯曲区域之间的静电力。可以看到，薄片变形与作用在其上的静电力成正比。电介质流体的反向德拜长度（表示静电场的强度）的增加会减小纸张变形。在当前模型的帮助下，通过将细胞膜视为弹性膜和将BAR蛋白视为刚性弯曲结构域，研究了外周BAR蛋白与细胞膜之间的结合机制。对于小曲率的BAR蛋白，本模型很好地捕获了蛋白结合的支架机制。该模型还可用于分析电子照相，粉末技术，半导体和制药行业中的问题。