Curvature-Driven Forces Based on Natural Exponential Pair Potential at Micro/Nanoscales

被引：0

作者：

Dan Wang

Yajun Yin

Zheng Zhong

Zhili Hu

机构：

[1] Nanjing University of Aeronautics and Astronautics,State Key Laboratory of Mechanics and Control of Mechanical Structures, College of Aerospace Engineering

[2] Tsinghua University,Department of Engineering Mechanics, School of Aerospace

[3] Tongji University,School of Aerospace Engineering and Applied Mechanics

来源：

Acta Mechanica Solida Sinica | 2019年 / 32卷

关键词：

Micro/nanoscales; Curvature-driven forces; Natural exponential pair potential; Curvature-based potential;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The natural exponential potential (Ce-R/λ0)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$C\hbox {e}^{-R/{\lambda _0 }})$$\end{document} widely exists at micro/nanoscales; this paper studies the interaction potential between a curved-surface body and an outside particle base on the natural exponential potential. Mathematical derivation proves that the interaction potential can be expressed as a function of curvatures. Then, idealized numerical experiments are designed to verify the accuracy of the curvature-based potential. The driving forces exerted on the particle are discussed and confirmed to be a function of curvatures and the gradient of curvatures, which may explain some abnormal movements at micro/nanoscales.

引用

页码：133 / 147

页数：14