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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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References

REFERENCES

1.Gao, P.X., Song, J.H., Liu, J., and Wang, Z.L.: Nanowire piezoelectric nanogenerators on plastic substrates as flexible power sources for nanodevices. Adv. Mater. 19, 67 (2007).CrossRefGoogle Scholar
2.Han, X., Jing, G., Zhang, X., Ma, R., Song, X., Xu, J., Liao, Zh., Wang, N., and Yu, D.: Bending-induced conductance increase in individual semiconductor nanowires and nanobelts. Nano Res. 2(7), 553 (2009).CrossRefGoogle Scholar
3.He, R. and Yang, P.: Giant piezoresistance effect in silicon nanowires. Nat. Nanotechnol. 1, 42 (2006).CrossRefGoogle ScholarPubMed
4.He, H. Jr., Hsin, C.L., Liu, J., Chen, L.J., and Wang, Z.L.: Piezoelectric gated diode of a single ZnO nanowire. Adv. Mater. 19, 781 (2007).CrossRefGoogle Scholar
5.Kwon, S-S., Hong, W-K., Jo, G., Maeng, J., Kim, T-W., Song, S., and Lee, T.: Piezoelectric effect on the electronic transport characteristics of ZnO nanowire field-effect transistors on bent flexible substrates Adv. Mater. 20, 4557 (2008).CrossRefGoogle Scholar
6.Qin, Y., Wang, X. and Wang, Z. L.: Microfibre–nanowire hybrid structure for energy scavenging. Nature, 451, 809 (2008).CrossRefGoogle ScholarPubMed
7.He, R., Feng, X.L., Roukes, M.L., and Yang, P.: Self-transducing silicon nanowire electromechanical systems at room temperature. Nano Lett. 8(6), 1756 (2008).CrossRefGoogle ScholarPubMed
8.Parkinson, P., Lloyd-Hughes, J., Gao, Q., Tan, H., Jagadish, C., Johnston, M.B., and Herz, L.M.: Transient terahertz conductivity of GaAs nanowires. Nano Lett. 7, 2162 (2007).CrossRefGoogle Scholar
9.Hsu, J-H. and Chang, S-H.: Mechanical manipulation of hexagonal phase boron nitride nanowires on the silicon substrate utilizing atomic force microscope, in The 6th IEEE Conference on Nanotechnology (IEEE-NANO2006), 2006, pp. 558–561.Google Scholar
10.Desai, A. and Haque, M.: Influence of electromechanical boundary conditions on elasticity of zinc oxide nanowires. Appl. Phys. Lett. 90, 033102 (2007).CrossRefGoogle Scholar
11.Zhu, Y., Qin, Q., Gu, Y., and Wang, Z.L.: Friction and shear strength at the nanowire-substrate interfaces. Nanoscale Res. Lett. 5(2), 291 (2010).CrossRefGoogle Scholar
12.Falvo, M.R., Steele, J., Taylor, R.M., and Superfine, R.: Evidence of commensurate contact and rolling motion: AFM manipulation studies of carbon nanotubes on HOPG. Tribol. Lett. 9, 73 (2000).CrossRefGoogle Scholar
13.Bordag, M., Ribayrol, A., Conache, G., Fröberg, L.E., Gray, S., Samuelson, L., Montelius, L., and Pettersson, H.: Shear stress measurements on InAs nanowires by AFM manipulation. Small 3(8), 1398 (2007).CrossRefGoogle ScholarPubMed
14.Conache, G., Gray, S.M., Ribayrol, A., Fröberg, L.E., Samuelson, L., Pettersson, H., and Montelius, L.: Friction measurements of InAs nanowires on silicon nitride by AFM manipulation. Small 5(2), 203 (2009).CrossRefGoogle ScholarPubMed
15.Chen, J., Conache, G., Pistol, M., Gray, S., Borgstrom, M., Xu, H., Samuelson, L., and Håkanson, U.: Probing strain in bent semiconductor nanowires with Raman spectroscopy. Nano Lett. 10, 1280 (2010).CrossRefGoogle Scholar
16.Conache, G., Ribayrol, A., Fröberg, L.E., Borgström, M.T., Samuelson, L., Montelius, L., Pettersson, H., and Gray, S.M.: Bias-controlled friction of InAs nanowires on a silicon nitride layer studied by atomic force microscopy. Phys. Rev. B 82, 035403 (2010).CrossRefGoogle Scholar
17.Strus, M., Lahiji, R., Ares, P., Lopez, V., Raman, A., and Reifenberger, R.: Strain energy and lateral friction force distributions of carbon nanotubes manipulated into shapes by atomic force microscopy. Nanotechnology 20, 385709 (2009).CrossRefGoogle ScholarPubMed
18.Timoshenko, S. and Goodier, J.N.: Theory of Elasticity, 2nd ed. (McGraw-Hill Book Company, 1951), pp. 316–342.Google Scholar
19.Landau, L. and Lifshitz, E.: Theory of Elasticity, Vol. 7, 3rd ed. (Butterworth-Heinemann, Oxford, 1986), pp. 70–76.Google Scholar
20.Zhu, Z., Chen, T-L., Gu, Y., Warren, J., and Osgood, R.M.: Zinc oxide nanowires grown by vapor-phase transport using selected metal catalysts: A comparative study. J. Chem. Mater. 17, 4227 (2005).CrossRefGoogle Scholar
21.Polyakov, B., Dorogin, L., Vlassov, S., Kink, I., Lohmus, A., Romanov, A., and Lohmus, R.: Real-time measurements of sliding friction and elastic properties of ZnO nanowires inside a scanning electron microscope. Solid State Commun. 151, 1244 (2011).CrossRefGoogle Scholar
22.Wang, Z.: Piezopotential gated nanowire devices: Piezotronics and piezo-phototronics. Nano Today 5, 540 (2010).CrossRefGoogle Scholar