Duality in interaction potentials for curved surface bodies and inside particles  

作　　者：Dan WANG Yajun YIN Jiye WU Zheng ZHONG 

机构地区：[1]Department of Engineering Mechanics,Tsinghua University [2]Department of Civil Engineering,Nanjing Tech University [3]Department of Engineering Mechanics,Tongji University

出　　处：《Applied Mathematics and Mechanics(English Edition)》2017年第8期1071-1090,共20页应用数学和力学（英文版）

基　　金：Project supported by the National Natural Science Foundation of China(Nos.11672150 and11272175);the Natural Science Foundation of Jiangsu Province(No.BK20130910);the specialized Research Found for Doctoral Program of Higher Education(No.2013000211004)

摘　　要：Based on the viewpoint of duality, this paper studies the interaction between a curved surface body and an inside particle. By convex/concave bodies with geometric duality, interaction potentials of particles located outside and inside the curved surface bodies are shown to have duality. With duality, the curvature-based potential between a curved surface body and an inside particle is derived. Furthermore, the normal and tangential driving forces exerted on the particle are studied and expressed as a function of curvatures and curvature gradients. Numerical experiments are designed to test accuracy of the curvature-based potential.Based on the viewpoint of duality, this paper studies the interaction between a curved surface body and an inside particle. By convex/concave bodies with geometric duality, interaction potentials of particles located outside and inside the curved surface bodies are shown to have duality. With duality, the curvature-based potential between a curved surface body and an inside particle is derived. Furthermore, the normal and tangential driving forces exerted on the particle are studied and expressed as a function of curvatures and curvature gradients. Numerical experiments are designed to test accuracy of the curvature-based potential.

关 键 词：curved duality curvature concave tangential viewpoint convex intersection body radius 

分 类 号：O302[理学—力学]