Hostname: page-component-78c5997874-t5tsf Total loading time: 0 Render date: 2024-11-15T11:14:14.032Z Has data issue: false hasContentIssue false
  • English
  • Français

Calculations of the Meniscus Force and the Contact Force Formed in the Microcontacts of a Rough Surface and a Smooth, Rigid Surface with a Thin Water Film

Published online by Cambridge University Press:  05 May 2011

J. F. Lin  and
S. C. Chen
J. F. Lin*
Affiliation:
Department of Mechanical Engineering, National Cheng Kung University, Tainan, Taiwan 70101, R.O.C.
S. C. Chen*
Affiliation:
Department of Mechanical Engineering, National Cheng Kung University, Tainan, Taiwan 70101, R.O.C.
*
*Professor, corresponding author
**Graduate student
Get access

Abstract

A present model is developed to calculate the adhesion meniscus force due to a rough surface with surface asperity in contact with a smooth, rigid flat covered by a thin water film. The original thickness of this film before surface contacts is dependent upon the relative humidity in the air. Microcontact deformations of surface asperities in the elastic, elastoplastic, and fully plastic regimes are included in the present model under a normal load. The new water film thickness under the condition of microcontact deformations is considered changing with the normal load, and it is obtained from the equation developed on the basis of the volume conservation principle for the new film thickness and the water film volume displaced by the asperities heights dipping in the film. The meniscus profile is also calculated from the balance of the surface tension force and the pressure difference force across the meniscus profile if the new film thickness is available. Water film thickness and the meniscus force are increased by decreasing the mean separation of two contact surfaces, or increasing the relative humidity, or increasing the plastic index. A significant difference in the meniscus force is found between the present model and the model of the literature, which is enhanced by either decreasing the mean separation, or raising the plasticity index, or increasing the relative humidity. The effects of the meniscus force on the load capacity are also evaluated at different mean separations, relative humidity and plasticity indices.

Keywords

MeniscusMicrocontactHumidity
Type
Articles
Information
Journal of Mechanics , Volume 24 , Issue 1 , March 2008 , pp. 1 - 11
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2008

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1.Gao, C., Tian, X. and Bhushan, B., “A Meniscus Model of Optimization of Texturing and Liquid Lubrication,” Tribo. Trans., 38, 201 (1995).CrossRefGoogle Scholar
2.Israelachvili, J. N., Intermolecular and Surface Forces, 2nd Ed., Academic London (1991).Google Scholar
3.Bhushan, B., Tribology and Mechanics of Magnetic Storage Devices, Wiley, New York (1990).CrossRefGoogle Scholar
4.Bhushan, B., Introduction to Tribology, Wiley, New York (2002).Google Scholar
5.Li, Y., Trauner, D. and Talke, F. E., “Effect of Humidity on Stiction and Friction of the Head/Disk Interface,” IEEE Trans. Magn., 26, 2487 (1990).CrossRefGoogle Scholar
6.Tian, H. and Matsudaira, T., “Effect of Relative Humidity on Friction Behavior of the Head Disk Interface,” IEEE Trans on Magn., 28, 2530 (1992).CrossRefGoogle Scholar
7.Tian, X. and Bhushan, B., “The Micro-Meniscus Effect of a Thin Liquid Film on the Static Friction of Rough Surface,” J. Phys. D, Appl. Phys., 29, 163 (1996).CrossRefGoogle Scholar
8.Bhushan, B. and Dandavate, C., “Thin-Film Friction and Adhesion Studies Using Atomic Force Microscopy,” J. Appl. Phys., 87, 1201 (2000).CrossRefGoogle Scholar
9.Prioli, R., Reigada, D. C. and Freire, F. L. Jr., “The Role of Capillary and Wear Properties of Boron Carbide Films,” J. Appl. Phys., 88, 679 (2000).CrossRefGoogle Scholar
10.Bhushan, B. and Nosonovsky, M., “Scale Effects in Dry and Wet Friction, Wear and Interface Temperature,” Nanotechnology, 15, 749 (2004).CrossRefGoogle Scholar
11.Szoszkiewicz, R., Kulik, A. J., Gremaud, G. and Lekka, M., “Probing Local Water Films by Ultrasonic Force Microscopy,” Appl. Phys. Lett., 86, 123901 (2005).CrossRefGoogle Scholar
12.Greenwood, J. A. and Williamson, J. B. P., “Contact of Nominally Flat Surfaces,” Proc. R. Soc. London, Ser. A295, 300 (1966).Google Scholar
13.Abbott, E. J. and Firestone, F. A., “Specifying Surface Quality,” Mech. Engr., 55, 569 (1933).Google Scholar
14.Chang, W. R., Etsion, I. and Bogy, D. B., “An Elastic- Plastic Model for the Contact of Rough Surfaces,” ASMEJ. Tribol., 110, 50 (1987).CrossRefGoogle Scholar
15.Yan, W. and Komvopoulos, K., “Contact Analysis of Elastic-Plastic Fractal Surfaces,” J. Appl. Phys., 84, 3617(1998).CrossRefGoogle Scholar
16.Zhao, Y., Maietta, D. M. and Chang, L., “An Asperity Microcontact Model from Elastic Deformation to Fully Plastic Flow,” ASMEJ. Tribol., 122, 86 (2000).CrossRefGoogle Scholar
17.Kogut, L. and Etsion, I., “Elastic-Plastic Contact Analysis of a Sphere and a Rigid Flat,” ASME J. Appl. Mech., 69, 657 (2002).CrossRefGoogle Scholar
18.Liou, J. L. and Lin, J. F., ASME J. Appl. Mech., in press (2006).Google Scholar
19.Lin, J. F., Tai, C. K. and Lin, S. L., “Theoretical and Experimental Studies for Nano-Oxidation of Silicon Wafer by AC Atomic Force Microscopy,” J. Appl. Phys., 99,054312(2006).CrossRefGoogle Scholar
20.Dthmani, A. and Kaminsky, C., “Three Dimensional Fractal Analysis of Sheet Metal Surfaces,” Wear, 214, 147 (1998).CrossRefGoogle Scholar
21.Tabor, D., The Hardness of Metals, Oxford University (1951).Google Scholar
22.McCool, J. I., “Comparison of Models for the Contact of Rough Surfaces,” ASME J. of Tribo., 122, 496 (2000).CrossRefGoogle Scholar
23.Bhushan, B. and Dugger, M. T., “Real Contact Area Measurements on Magnetic Rigid Disks,” Wear, 137, 41 (1990).CrossRefGoogle Scholar
24.Fedorchenko, A. I., Wang, A. B., Mashanov, V. I. and Cheng, H. H., “Wrinkling of a Debonded Initially Compressed SI1-XGEX Film,” Journal of Mechanics, 21, 131(2005).CrossRefGoogle Scholar
25.Chen, T. Y., Lee, H. L. and Chou, Y. C., “An Improved Two-Load Method for Whole-Field Complete Photoelastic Fringe Analysis,” Journal of Mechanics, 21, 199(2005).CrossRefGoogle Scholar
26.Lin, H. C. and Dong, S. B., “On the Almansi-Michell Problems for an Inhomogeneous, Anisotropic Cylinder,” Journal of Mechanics, 22, 51 (2006).CrossRefGoogle Scholar
27.Lee, C. F. and Shieh, T. J., “Theory of Endochronic Cyclic Viscoplasticity of Eutectic Tin/Lead Solder Alloy,” Journal of Mechanics, 22, 181 (2006).CrossRefGoogle Scholar
28.Hasheminejad, S. M., “Acoustic Scattering by a Fluid-Encapsulating Spherical Viscoelastic Membrane Including Thermoviscous Effects,” Journal of Mechanics, 21,205(2005).CrossRefGoogle Scholar
29.Lee, C. F., Wang, J. J. and Chung, W. K., “Deformation Kinetics of Steady Creep in Sn /Pb Solder Alloys with Applicamation,” Journal of Mechanics, 21, 217(2005).CrossRefGoogle Scholar
30.Reda Taha, M. M. and Shrive, N. G., “A Model of Damage and Creep Interaction in a Quasi-Brittle Composite Material under Axial Loading,” Journal of Mechanics, 22, 339 (2006).CrossRefGoogle Scholar