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Dynamic Modeling and Simulation of Rough Cylindrical Micro/Nanoparticle Manipulation with Atomic Force Microscopy

Published online by Cambridge University Press:  07 October 2014

Moharam H. Korayem*
Affiliation:
Robotic Research Laboratory, Center of Excellence in Experimental Solid Mechanics and Dynamics, School of Mechanical Engineering, Iran University of Science and Technology, PO Box 18846, Tehran, Iran
Hedieh Badkoobeh Hezaveh
Affiliation:
Robotic Research Laboratory, Center of Excellence in Experimental Solid Mechanics and Dynamics, School of Mechanical Engineering, Iran University of Science and Technology, PO Box 18846, Tehran, Iran
Moein Taheri
Affiliation:
Robotic Research Laboratory, Center of Excellence in Experimental Solid Mechanics and Dynamics, School of Mechanical Engineering, Iran University of Science and Technology, PO Box 18846, Tehran, Iran
*
*Corresponding Author. hkorayem@iust.ac.ir
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Abstract

In this paper, the process of pushing rough cylindrical micro/nanoparticles on a surface with an atomic force microscope (AFM) probe is investigated. For this purpose, the mechanics of contact involving adhesion are studied first. Then, a method is presented for estimating the real area of contact between a rough cylindrical particle (whose surface roughness is described by the Rumpf and Rabinovich models) and a smooth surface. A dynamic model is then obtained for the pushing of rough cylindrical particles on a surface with an AFM probe. Afterwards, the process is simulated for different particle sizes and various roughness dimensions. Finally, by reducing the length of the cylindrical particle, the simulation condition is brought closer to the manipulation condition of a smooth spherical particle on a rough substrate, and the simulation results of the two cases are compared. Based on the simulation results, the critical force and time of manipulation diminish for rough particles relative to smooth ones. Reduction in the aspect ratio at a constant cross-section radius and the radius of asperities (height of asperities based on the Rabinovich model) results in an increase in critical force and time of manipulation.

Type
Materials Applications
Copyright
© Microscopy Society of America 2014 

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References

Baney, J.M. & Hui, C.Y. (1997). A cohesive zone model for the adhesion of cylinders. J Adhes Sci Technol 11, 393406.Google Scholar
Barquins, M. (1988). Adherence and rolling kinetics of a rigid cylinder in contact with a natural rubber surface. J Adhes 26(1), 112.Google Scholar
Beach, E.R., Tormoen, G.W., Drelich, J. & Han, R. (2002). Pull-off force measurements between rough surfaces by atomic force microscopy. J Colloid Interface Sci 247, 8499.CrossRefGoogle ScholarPubMed
Bush, A.W., Gibson, R.D. & Thomas, T.R. (1975). Elastic contact of a rough surface. J Wear 35(1), 87111.CrossRefGoogle Scholar
Chaudhary, M.K. & Weaver, T. (1996). Adhesive contact of cylindrical lens and a flat sheet. J Appl Phys 80(1), 3037.CrossRefGoogle Scholar
Chen, S. & Gao, H. (2006). Non-slipping adhesive contact of an elastic cylinder on stretched substrates. In Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 462, pp. 211–228, London.Google Scholar
Cooper, K., Ohler, N., Gupta, A. & Beaudoin, S. (2000). Analysis of contact interactions between a rough deformable colloid and a smooth substrate. J Colloid Interface Sci 222, 6374.Google Scholar
Darwich, S., Mougin, K., Rao, A., Gnecco, E., Jayaraman, S. & Haidara, H. (2011). Manipulation of gold colloidal nanoparticles with atomic force microscopy in dynamic mode: influence of particle–substrate chemistry and morphology, and of operating conditions. Beilstein J Nanotechnol 2, 8598.Google Scholar
Eichenlaub, S., Kumar, G. & Beaudoin, S. (2006). A modeling approach to describe the adhesion of rough, asymmetric particles to surfaces. J Colloid Interface Sci 299, 656664.Google Scholar
Evstigneev, M., Mougin, K. & Reimann, P. (2013). Modeling of nanoparticle manipulation by AFM: Rolling vs. sliding regimes. J EPL 101(6), 66002(5).Google Scholar
Falvo, M.R. & Superfine, R. (2000). Mechanics and friction at the nanometer scale. J Nanoparticle Res 2(4), 237248.Google Scholar
Fereidoon, A.H., Moradi, M. & Sadeghzadeh, S. (2011). Dynamic modeling for nanomanipulation of polystyrene nanorod by atomic force microscope. J Scientia Iranica 18, 808815.Google Scholar
Fuller, K.N.G. & Tabor, D. (1975). The effect of surface roughness on the adhesion of elastic solids. In Proceedings of the Royal Society of London. A. 345, pp. 327–340, London.Google Scholar
Gnecco, E., Rao, A., Mougin, K., Chandrasekar, G. & Meyer, E. (2010). Controlled manipulation of rigid nanorods by atomic force microscopy. J Nanotechnol 21(21), 215702 (5pp).Google Scholar
Greenwood, J.A. & Williamson, J.B.P. (1966). Contact of nominally flat surfaces. In Proceedings of the Royal Society of London. A 295, pp. 300–319, London.Google Scholar
Greenwood, J.A. & Tripp, J.H. (1967). The elastic contact of rough spheres. J Appl Mech 34(1), 153159.Google Scholar
George, M. & Goddard, D.T. (2006). The characterisation of rough particle contacts by atomic force microscopy. J Colloid Interface Sci 299, 665672.Google Scholar
Hou, J., Wu, C., Liu, L., Wang, Z. & Dong, Z. (2010). Modeling and analyzing nano-rod pushing with an AFM. In Proceedings of Nanotechnology (IEEE-NANO), pp. 329–334, Seoul.Google Scholar
Jin, F. & Guo, X. (2010). Non-slipping adhesive contact of a rigid cylinder on an elastic power-law graded half-space. Int J Solids Struct 47, 15081521.CrossRefGoogle Scholar
Johnson, K.L., Kendall, K. & Roberts, A.D. (1971). Surface energy and the contact of elastic solids. In Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, 324, pp. 301–313, London.Google Scholar
Johnson, K.L. (1985). Contact Mechanics. Cambridge: Cambridge University Press.Google Scholar
Korayem, M.H. & Zakeri, M. (2009). Sensitivity analysis of nanoparticles pushing critical conditions in 2-D controlled nanomanipulation based on AFM. J Adv Manuf Technol 41, 714726.Google Scholar
Korayem, M.H. & Zakeri, M. (2011). Dynamic modeling of manipulation of micro/nanoparticles on rough surfaces. J Appl Surf Sci 257(15), 65036513.Google Scholar
Korayem, M.H. & Taheri, M. (2014). Modeling of various contact theories for the manipulation of different biological micro/nanoparticles based on AFM. J Nanopart Res 16, 118.Google Scholar
Li, Q., Rudolph, V. & Peukert, W. (2006). London–van der Waals adhesiveness of rough particles. J Powder Technol 161, 248255.Google Scholar
Maharaj, D. & Bhushan, B. (2014). Nanomanipulation, nanotribology and nanomechanics of Au nanorods in dry and liquid environments using an AFM and depth sensing nanoindenter. J Nanoscale 6(11), 58385852.Google Scholar
Maugis, D. (1996). On the contact and adhesion of rough surfaces. J Adhes Sci Technol 10, 161175.CrossRefGoogle Scholar
Morrow, C., Lovell, M. & Ning, X. (2003). A JKR–DMT transition solution for adhesive rough surface contact. J Phys D: Appl Phys 36, 534540.Google Scholar
Persson, B.N.J. (2001). Theory of rubber friction and contact mechanics. J Chem Phys 115(8), 38403861.Google Scholar
Persson, B.N.J. (2007). Relation between interfacial separation and load: a general theory of contact mechanics. J Phys Rev Lett 99(12), 125502(4).CrossRefGoogle ScholarPubMed
Rabinovich, Y.I., Adler, J.J., Ata, A., Singh, R.K. & Moudgil, B.M. (2000 a). Adhesion between nanoscale rough surfaces: I. Role of asperity geometry. J Colloid Interface Sci 232, 1016.Google Scholar
Rabinovich, Y.I., Adler, J.J., Ata, A., Singh, R.K. & Moudgil, B.M. (2000 b). Adhesion between nanoscale rough surfaces: II. Measurement and comparison with theory. J Colloid Interface Sci 232, 1724.Google Scholar
Rumpf, H. (1990). Particle Technology. London: Chapman & Hall.Google Scholar
Ruths, M. & Israelachvili, J.N. (2007). Surface forces and nanorheology of molecularly thin films. In Springer Handbook of Nanotechnology, Bhushan, B. (Eds.), 2nd revised and extended ed, pp. 107202. Berlin: Springer.Google Scholar
Schwarz, U.D. (2003). A generalized analytical model for the elastic deformation of an adhesive contact between a sphere and a flat surface. J Colloid Interface Sci 261, 99106.Google Scholar
Sitti, M. & Hashimoto, H. (1999). Force controlled pushing of nanoparticles: Modeling and experiments. In International Conference of Advanced Intelligent Mechatronics, pp. 13–20, Atlanta, GA.Google Scholar
Tafazzoli, A. & Sitti, M. (2004). Dynamic behavior and simulation of nanoparticles sliding during nanoprobe-based positioning. In Proceedings of ASME International Mechanical Engineering Congress IMECE’04, Anaheim, CA.Google Scholar
Wu, S., Fu, X., Hu, X. & Hu, X. (2010). Manipulation and behavior modeling of one-dimensional nanomaterials on a structured surface. J Appl Surf Sci 256(14), 47384744.Google Scholar
Zhou, H. & Peukert, W. (2008). Modeling adhesion forces between deformable bodies by FEM and Hamaker summation. J Langmuir 24, 14591468.Google Scholar