I develop a general mean-field theory for the influence of electrostatic attraction between two solids on the contact mechanics. I assume elastic solids with random surface roughness. I consider two cases, namely, with and without an electrically insulating layer between the conducting solids. The former case is important for, e.g., the finger–touch screen interaction. I study how the electrostatic attraction influences the adhesion and friction. For the case of an insulating layer, I find that when the applied nominal contact pressure is relatively small, as the applied voltage increases, there is a sharp increase in the contact area, and hence in the friction, at a critical voltage.

中文翻译：

---

附着力和摩擦力对静电引力的依赖性

我针对两种固体之间的静电吸引对接触力学的影响，开发了一种一般的平均场理论。我假设弹性固体具有随机的表面粗糙度。我考虑两种情况，即在导电固体之间有电绝缘层和没有电绝缘层的情况。前一种情况对于例如手指与触摸屏的交互非常重要。我研究了静电吸引力如何影响附着力和摩擦力。对于绝缘层，我发现当施加的额定接触压力相对较小时，随着施加电压的增加，在临界电压下接触面积会急剧增加，因此摩擦也会急剧增加。