Estimation of the contact area of solids by electrothermal analogy
https://doi.org/10.17586/2220-8054-2015-6-4-547-550
Abstract
A method of thermal measurements has been proposed for determining the real surface contact area. Measurement of the true contact area is somewhat difficult. We propose here a method of contact area measurement, which is, in essence, an idealization of the well-known probe method employed in surface studies. In this study, to determine (estimate!) the fraction of the contact surface area projected onto the plane of a geometrical area of the section of the surface, it is proposed to use the electrothermal analogy. Considered in terms of this analogy, electrical conductance is assumed to correlate with heat transfer. As a result, the real contact area is found to be millions of times smaller than the area of the plane surface.
Supporting agencies: The author expresses gratitude to A. P. Meilakhs for a discussion of Landauer’s relation, as well as to S. A. Chizhik and M. L. Heifets for having made acquaintance with the state of the art of the problem. I am grateful to A. Ya. Vul’ for interest in the work. Support of the RAS Presidium programs “Fundamentals of nanostructure technologies and nanomaterial” and “Quantum mesoscopic and disordered systems”, as well as of RFBR (Grants 14-08-90011 Bel-a) is gratefully acknowledged.
About the Author
E. D. Eidelman
Ioffe Physico-Technical Institute of the Russian Academy of Sciences; Saint Petersburg Chemical-Pharmaceutical Academy
Russian Federation
Russian Federation
Polytechnicheskaya 26, Saint Petersburg, 194021
Popova street 14, Saint Petersburg, 197376
References
1. Kaufman D. M. Coupled Principles for Computational Frictional Contact Mechanics. New Brunswick, New Jersey, 2009, 160p.
2. Chizhik S.A., Wierzcholski K., Trushko A.V., Zhytkova M.A., Miszczak A. Properties of Cartilage on Micro- and Nanolevel. Advances in Tribology, 2010, 2010, Article ID 243150, 8 pages.
3. Koval’chyk Yu. I., Shyrokov V. V., Modeling of Temperature Flashes under the Conditions of Periodic Contact of Friction Surfaces. Materials Science 3-2005, 41(2), P. 192–201.
4. Koval’chyk Yu. I., Simulation of Wave Processes under Conditions of Friction of Rough Surfaces (Review). Materials Science, 2003, 39(4), P. 584–595.
5. Faghri A., Zhang Y., Howell J., Advanced Heat and Mass Transfer. Columbia, MO: Global Digital Press., 2010, 550 p.
6. Zhang U.L, Keblinski P., Wang J-S., Li B. L. Interfacial thermal transport in atomic junctions. Phys.Rev.B., 2011, 83, P. 064303-1-8.
7. Meilakhs A. P., Eidelman E. D. New model of heat transport across the metal-insulator interface by the example of boundaries in a diamond-copper composite. JETP Letters, 2013, 97(1), P. 38–40.
8. Landauer R. Spatial variation of currents and fields due to localized scatterers in metallic conduction. IBM Journal of Research and Development, 1957, 1, P. 223–231.
9. Buttiker M., Imry Y., Landauer R., Pinhas S. Generalized-channel conductance formula with application to small rings. Phys. Rev. B., 1895, 31, P. 6207–6219.
Review
For citations:
Eidelman E.D. Estimation of the contact area of solids by electrothermal analogy. Nanosystems: Physics, Chemistry, Mathematics. 2015;6(4):547-550. https://doi.org/10.17586/2220-8054-2015-6-4-547-550
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