A More General Capillary Adhesion Model Including Shape Index: Single-Asperity and Multi-Asperity Cases

REFERENCES

• Álvarez-Asencio, R., Pan, J., Thormann, E., and Rutland, M.W. (2013), “Tribological Properties Mapping: Local Variation in Friction Coefficient and Adhesion,” Tribology Letters, 50(3), pp 387–395.
   Web of Science ®Google Scholar
• Bouchebout, S., Bolopion, A., Abrahamians, J.O., and Régnier, S. (2012), “An Overview of Multiple DoF Magnetic Actuated Micro-Robots,” Journal of Micro-Nano Mechatronics, 7, pp 97–113.
   Google Scholar
• Israelachvili, J.N. (1991), Intermolecular and Surface Forces, Academic Press: San Diego, CA.
   Google Scholar
• Chen, S.C. and Lin, J.F. (2008), “Detailed Modeling of the Adhesion Force between an AFM Tip and a Smooth Flat Surface under Different Humidity Levels,” Journal of Micromechanics and Microengineering, 18, p 115006.
   Web of Science ®Google Scholar
• Pakarinen, O.H., Foster, A.S., Paajanen, M., Kalinainen, T., Katainen J., Makkonen, I., Lahtinen J., and Nieminen, R.M. (2005), “Towards an Accurate Description of the Capillary Force in Nanoparticle-Surface Interactions,” Modelling and Simulation in Material Science and Engineering, 13, pp 1175–1186.
   Web of Science ®Google Scholar
• Lambert, P. and Delchambre, A. (2005), “Parameters Ruling Capillary Forces at the Submillimetric Scale,” Langmuir, 21(21), pp 9537–9543.
   PubMed Web of Science ®Google Scholar
• Maugis, D. (1992), “Adhesion of Spheres: The JKR-DMT Transition Using a Dugdale Model,” Journal of Colloid and Interface Science, 150(1), pp 243–269.
   Web of Science ®Google Scholar
• Johnson, K.L. (1998), “Mechanics of Adhesion,” Tribology International, 31(8), pp 413–418.
   Web of Science ®Google Scholar
• Xue, X. and Polycarpou, A.A. (2007), “An Improved Meniscus Surface Model for Contacting Rough Surfaces,” Journal of Colloid and Interface Science, 311(1), pp 203–211.
   PubMed Web of Science ®Google Scholar
• Boneschanscher, M.P., van der Lit, J., Sun, Z., Swart, I., Liljeroth, P., and Vanmaekelbergh, D. (2012), “Quantitative Atomic Resolution Force Imaging on Epitaxial Grapheme with Reactive and Nonreactive AFM Probes,” ACS Nano, 6(11), pp 10216–10221.
   PubMed Web of Science ®Google Scholar
• Xie, H., Lambert, P., and Régnier, S. (2011), “Analysis of Nanoscale Mechanical Grasping under Ambient Conditions,” Journal of Micromechanics and Microengineering, 21, p 045009.
   Web of Science ®Google Scholar
• Wang, Y., Mo, Y., Zhu, M., and Bai, M. (2010), “Wettability and Nanotribological Property of Multiply Alkylated Cyclopentanes (MACs) on Silicon Substrate,” Tribology Transactions, 53(2), pp 219–213.
   Web of Science ®Google Scholar
• Grierson, D.S., Liu, J., Carpick, R.W., and Turner, K.T. (2013), “Adhesion of Nanoscale Asperities with Power-Law Profiles,” Journal of Mechanics and Physics of Solids, 61(2), pp 597–610.
   Web of Science ®Google Scholar
• Chen, S.H. and Soh, A.K. (2008), “The Capillary Force in Micro- and Nano-Indentation with Different Indenter Shapes,” International Journal of Solids and Structure, 45(10), pp 3122–3137.
   Web of Science ®Google Scholar
• Butt, H.J. and Kappl, M. (2009), “Normal Capillary Forces,” Advances in Colloid and Interface Science, 146(1–2), pp 48–60.
   PubMed Web of Science ®Google Scholar
• Chau, A., Régnier, S., Delchambre, A., and Lambert, P. (2010) “Theoretical and Experimental Study of the Influence of AFM Tip Geometry and Orientation on Capillary Force,” Journal of Adhesion Science Technology, 24, pp 2499–2510.
   Web of Science ®Google Scholar
• Hariri, A., Zu, J., and Mard, R.B. (2007), “Modeling of Wet Stiction in Microelectromechanical Systems (MEMS),” Journal of Microelectromechanical Systems, 16(5), pp 1276–1285.
   Web of Science ®Google Scholar
• Persson, B.N. J. (2008), “Capillary Adhesion between Elastic Solids with Randomly Rough Surfaces,” Journal of Physics: Condensed Matter, 20, p 315007.
   Web of Science ®Google Scholar
• You, S. and Wan, M.P. (2013), “Mathematical Models for the Van der Waals Force and Capillary Force between a Rough Particle and Surface,” Langmuir, 29(29), pp 9104–9117.
   PubMed Web of Science ®Google Scholar
• Greenwood, J.A. (1984), “A Unified Theory of Surface Roughness,” Proceedings of the Royal Society of London A, 393(1804), pp 133–157.
   Google Scholar
• Prokopovich, P. and Perni, S. (2010), “Multiasperity Contact Adhesion Model for Universal Asperity Height and Radius of Curvature Distributions,” Langmuir, 26(22), pp 17028–17036.
   PubMed Web of Science ®Google Scholar
• Jackson, R.L. and Green, I. (2011), “On the Modeling of Elastic Contact between Rough Surfaces,” Tribology Transactions, 54, pp 300–314.
   Web of Science ®Google Scholar
• Zheng, Z. and Yu, J. (2007), “Using the Dugdale Approximation to Match a Specific Interaction in the Adhesive Contact of Elastic Objects,” Journal of Colloid and Interface Science, 310(1), pp 27–34.
   PubMed Web of Science ®Google Scholar
• Attard, P. and Parker, J.L. (1992), “Deformation and Adhesion of Elastic Bodies in Contact,” Physical Review A, 46, pp 7959–7971.
   PubMed Web of Science ®Google Scholar
• Greenwood, J.A. (1997), “Adhesion of Elastic Spheres,” Proceedings of the Royal Society of London A, 453, pp 1277–1297.
   Google Scholar
• Feng, J.Q. (2000), “Contact Behavior of Spherical Elastic Particles: A Computational Study of Particle Adhesion and Deformations,” Colloids and Surfaces A: Physicochemical and Engineering Aspects, 172(1–3), pp 175–198.
   Web of Science ®Google Scholar
• Butt, H.J. (2008), “Capillary Forces: Influence of Roughness and Heterogeneity,” Langmuir, 24, pp 4715–4721.
   PubMed Web of Science ®Google Scholar
• Johnson, K.L. (1985), Contact Mechanics, Cambridge University Press: Cambridge, UK.
   Google Scholar
• Maugis, D. and Gauthier-Manuel B. (1994), “JKR-DMT Transition in the Presence of a Liquid Meniscus,” Journal of Adhesion Science and Technology, 8(11), pp 1311–1322.
   Web of Science ®Google Scholar
• Greenwood, J.A. and Willamson, J.B. P. (1966), “Contact of Nominally Flat Surfaces,” Proceedings of the Royal Society of London A, 295, pp 300–319.
   Google Scholar
• Fuller, K.N. G. and Tabor, D. (1975), “The Effect of Surface Roughness on the Adhesion of Elastic Solids,” Proceedings of the Royal Society of London A, 345, pp 327–342.
   Google Scholar
• Maugis, D. (1996), “On the Contact and Adhesion of Rough Surfaces,” Journal of Adhesion Science and Technology, 10(2), pp 161–175.
   Web of Science ®Google Scholar
• Wang, L., Rong, W., Shao, B., and Sun, L. (2013), “Adhesive Elastic Contact of Rough Surfaces with Power-Law Axisymmetric Asperities,” Journal of Tribology, 134(3), 032101.
   Web of Science ®Google Scholar
• de Boer, M.P., Clews, P.J., Smith, B.K., and Michalske, T.A. (1998), “Adhesion of Polysilicon Microbeams in Controlled Humidity Ambients,” Materials Research Society Proceedings, 518, pp 131–136.
   Google Scholar
• de Boer, M.P., Knapp, J.A., Mayer, T.M., and Michalske, T.A. (1999), “The Role of Interfacial Properties on MEMS Performance and Reliability,” SPIE Proceedings, 3825, pp 2–15.
   Google Scholar