On nanotribology modeling
DOI:
https://doi.org/10.7242/1999-6691/2008.1.4.38Keywords:
Abstract
A new nanofriction model is proposed which is a generalization of the classical Tomlinson and Frenkel-Kontorova models. Generalization consists in taking into account the long-range force interaction in the frame of the theory of central pair interactions. Numerical solutions for friction forces as well as for force and displacement distributions in a deformed chain are constructed for all three models. The obtained solutions are compared, some important mechanical effects are revealed, and the applicability domain of the classical models is shown.
Downloads
References
Kravcuk A.S. O modelah i resenii zadac mehaniki nanokontakta // Matematiceskoe modelirovanie sistem i processov-2007. - Perm’: Izd-vo PGTU. - 2007. - No 15. - S. 123-141.
Goryacheva I., Kravchuk A, Neittaanmaki P. Numerical solution of nanomechanics problems. Development of the hybrid method // Proceedings of VIII World Conference on Computational Mechanics (WCCM VIII) and V European Congress on Computational Methods in Applied Science and Engineering (ECCOMAS V) CD format. June 30 - July 5. 2008. Venice, Italy - 2008. - Article 353. 2 p.
Tomlinson G.A. A molecular theory of friction // Phil. Mag. Series - 1929. - P. 935-939.
Frenkel’ U.I., Kontorova T. O teorii plasticeskih deformacij i dvojnikovania. // ZETF. - 1938. - T. 8. - S. 1340.
Robbins M.O., Muser H. Computer simulations of Friction, Lubrication and Wea r// Handbook of Modern Trybology (Bhushan B., ed.) - CRC Press, 2001. - 43 p.
Rieth M. Nano-Engineering in Science and Technology. - New Jersey: WSP, 2003. - 146p.
Downloads
Published
Issue
Section
License
Copyright (c) 2008 Computational Continuum Mechanics
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
