Abstract
Based on the natural exponential pair potential \( U\left( R \right) = C{\text{e}}^{{ - {R \mathord{\left/ {\vphantom {R {\lambda_{0} }}} \right. \kern-0pt} {\lambda_{0} }}}} \), the interaction potential between curved surface body and on surface particle is studied. Firstly, the interaction potential is written as a function of curvatures through the differential geometry. Secondly, idealized numerical experiments are designed to test the accuracy of curvature-based potential. Then, the driving forces induced by curvatures are analyzed, which confirms that micro/nano-curved surface bodies can induce driving forces; curvatures and the gradient of curvatures are the essential elements forming the driving forces. Finally, by combining with the curvature-based potential and driving forces, the movements on surface particles and the evolution of surface morphology of curved surface bodies are predicted.
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Acknowledgements
This work was supported by the Natural Science Foundation of Jiangsu Province (Grants BK20180411 and BK20180429) and start-up funding awarded by the Nanjing University of Aeronautics and Astronautics (Grants 56SYAH17065 and 90YAH17065), the Fundamental Research Funds for the Central Universities (Grant NS2018004).
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Wang, D., Yin, Y., Zhong, Z. et al. Surface evolution caused by curvature driven forces based on natural exponential pair potential. Acta Mech. Sin. 35, 445–456 (2019). https://doi.org/10.1007/s10409-018-0826-4
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DOI: https://doi.org/10.1007/s10409-018-0826-4