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Modeling of kinetic and static friction between an elastically bent nanowire and a flat surface

Published online by Cambridge University Press:  04 November 2011

Leonid M. Dorogin ,
Boris Polyakov ,
Andrejs Petruhins ,
Sergei Vlassov ,
Rünno Lõhmus ,
Ilmar Kink  and
Alexey E. Romanov
Leonid M. Dorogin*
Affiliation:
Institute of Physics, University of Tartu, Tartu 51014, Estonia
Boris Polyakov
Affiliation:
Institute of Physics, University of Tartu, Tartu 51014, Estonia; and Institute of Solid State Physics, University of Latvia, LV-1063, Riga, Latvia
Andrejs Petruhins
Affiliation:
Institute of Solid State Physics, University of Latvia, LV-1063, Riga, Latvia
Sergei Vlassov
Affiliation:
Institute of Physics, University of Tartu, Tartu 51014, Estonia
Rünno Lõhmus
Affiliation:
Institute of Physics, University of Tartu, Tartu 51014, Estonia
Ilmar Kink
Affiliation:
Institute of Physics, University of Tartu, Tartu 51014, Estonia
Alexey E. Romanov
Affiliation:
Institute of Physics, University of Tartu, Tartu 51014, Estonia; and Ioffe Physical Technical Institute, Russian Academy of Sciences, 194021 St. Petersburg, Russia
*
a)Address all correspondence to this author. e-mail [email protected]
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Abstract

Friction forces for a nanowire (NW) elastically bent on flat substrate were investigated both theoretically and experimentally. Models based on elastic beam theory were proposed considering balance of external, frictional, and elastic forces along the NW. The distributed friction force was determined for two cases: (i) the NW was uniformly dragged at its midpoint and bent by kinetic friction forces and (ii) the NW was held in a bent state by static friction forces. The first case considers a uniform distribution of kinetic friction along the NW and enables the measurement of the friction force from the elastically deformed NW profile. The second case exploits the interplay between static friction and elastic forces inside the NW to find the distributed friction force. An original method for the measurement of frictional forces in both cases while maintaining total force and momentum equilibrium was introduced and demonstrated for ZnO NWs on a Si wafer. Averaged kinetic and static friction forces were compared for the same individual NW.

Keywords

NanoscaleTribologyElastic properties
Type
Articles
Information
Journal of Materials Research , Volume 27 , Issue 3: Focus Issue: Advances in Mechanics of One-Dimensional Micro/Nanomaterials , 14 February 2012 , pp. 580 - 585
Copyright
Copyright © Materials Research Society 2011

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