Main Article Content
Frictional force is a vitally important factor in the application of engineering either in macroscopic contacts or in micro/nanoscale contacts. Understanding of the influencing factors about frictional force is essential for the design of miniaturized devices and the use of minimal friction force. In the paper, dimensional analysis is used to analysis factors relative to frictional force. We show that the frictional force scales with Aa1 N1- a1 , where A is the contact area and N is the normal contact force. An experiment is carried out to verify the new friction law.
Authors retain copyright of the published article and have the right to use the article in the ways permitted to third parties under the - Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International (CC BY-NC-ND) licence. Full bibliographic information (authors, article title, journal title, volume, issue, pages) about the original publication must be provided and a link must be made to the article's DOI.
The authors and third parties who wish use the article in a way not covered by the the -Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International (CC BY-NC-ND) licence must obtain a written consent of the publisher. This license allows others to download the paper and share it with others as long as they credit the journal, but they cannot change it in any way or use it commercially.
Authors grant to the publisher the right to publish the article, to be cited as its original publisher in case of reuse, and to distribute it in all forms and media.
 Bowden, F. P., Tabor, D., Friction and Lubrication of Solids (Wiley, New York, 1956)
 Gao, G. T., et al., Atomic-Scale Friction on Diamond: a Comparison of Different Sliding Directions on (1) and (111) Surfaces Using MD and AFM, Langmuir, 23 (2007), 10, pp. 5394-5405
 Luan, B., Robbins, M. O., The Breakdown of Continuum Models for Mechanical Contacts, Nature, 435 (2005), pp. 929-932
 Luan, B., Robbins, M. O., Contacts of Single Asperities with Varying Adhesion: Comparing Continuum Mechanics to Atomistic Simulations, Phys. Rev. E, 74 (2006), 2, doi: 10.1103/PhysRevE.74.026111
 Gao, J., et al., Friction Forces and Amontons’ Law: From the Molecualr to the Macroscopic Scale, J. Phys. Chem. B 108 (2004), 11, pp. 3410-3425
 Hertz, H., On the Contact of Elastic Solids, J. Reine Angew. Math, 92 (1881), pp. 156-171
 Maugis, D., Adhesion of Spheres: the JKR-DMT Transition Using a Dugdale Model, J. Colloid Interface Sci. 150 (1992), pp. 243-269
 Mo, Y., Turner, K. T., Szlufarska, I., Friction Laws and the Nanoscale, Nature, 457 (2009), 7748, pp 1116-1119