Applied Mathematics and Mechanics >
Duality in interaction potentials for curved surface bodies and inside particles
Received date: 2016-11-01
Revised date: 2016-12-06
Online published: 2017-08-01
Supported by
Project supported by the National Natural Science Foundation of China (Nos. 11672150 and 11272175), the Natural Science Foundation of Jiangsu Province (No. BK20130910), and the specialized Research Found for Doctoral Program of Higher Education (No. 2013000211004)
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.
Dan WANG, Yajun YIN, Jiye WU, Zheng ZHONG . Duality in interaction potentials for curved surface bodies and inside particles[J]. Applied Mathematics and Mechanics, 2017 , 38(8) : 1071 -1090 . DOI: 10.1007/s10483-017-2223-9
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