Hostname: page-component-cd9895bd7-jkksz Total loading time: 0 Render date: 2024-12-24T01:03:26.735Z Has data issue: false hasContentIssue false

Studies on Surface Tension Influenced Critical Gap in Cantilever Microstructures

Published online by Cambridge University Press:  15 July 2015

L.-J. Yang*
Affiliation:
Department of Mechanical and Electromechanical Engineering, Tamkang University, New Taipei, Taiwan
S. Marimuthu
Affiliation:
Department of Mechanical and Electromechanical Engineering, Tamkang University, New Taipei, Taiwan
*
*Corresponding author ([email protected])
Get access

Abstract

This note presents an elasto-capillary model of a cantilever subject to capillary stiction during drying process of removing sacrificial layers in MEMS. Similar to the dynamic analysis of the electrostatic pull-in of electrostatic micro actuators, the cantilever beam tends to be pulled down to the substrate due to the nonlinear capillary force with respect to the gap. The critical one-half gap deformation and the corresponding critical wetting area for pulling down a micro cantilever by surface tension are analytically found herein. The instability situation of a generalized critical deformation for power-law surface force with respect to gap is also predicted accordingly. Some prior MEMS works are exemplified to justify this critical one-half gap deformation for capillary stiction.

Type
Research Article
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2016 

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

REFERENCES

1.de Genes, P.G., “Wetting: Statics and Dynamics,” Reviews of Modern Physics, 57, pp. 827890 (1985).Google Scholar
2.Israelachvili, J.N., Intermolecular and Surface Forces, Academic Press, UK, p. 120 (1985).Google Scholar
3.Madou, M., Fundamentals of Microfabrication, 1st Edition, CRC Press, New York, USA, p. 433 (1997).Google Scholar
4.Mastrangelo, C.H. and Hsu, C.H.A Simple Experimental Technique for the Measurement of the Work of Adhesion of Microstructures,” Proceedings of IEEE Solid-State Sensors and Actuators Workshop, Hilton Head Island, SC, USA, pp. 208212 (1992).Google Scholar
5.Mastrangelo, C.H. and Hsu, C.H., “Mechanical Stability and Adhesion of Microstructures under Capillary Forces — Part I: Basic Theory,” Journal of Microelectromechanical Systems, 2, pp. 3343 (1993).Google Scholar
6.Mastrangelo, C.H. and Hsu, C.H., “Mechanical Stability and Adhesion of Microstructures under Capillary Forces – Part II: Experiments,” Journal of Microelectromechanical Systems, 2, pp.4455 (1993).Google Scholar
7.Tas, N., Sonnenberg, T., Jansen, H., Legtenberg, R. and Elwenspoek, M., “Stiction in Surface Microm-achining,” Journal of Micromechanics and Microengineering, 6, pp. 385397 (1996).Google Scholar
8.Zhao, Y.P., Wang, L.S. and Yu, T.X., “Mechanics of Adhesion in MEMS – A Review,” Journal of Adhesion Science and Technology, 17, pp. 519546 (2003).Google Scholar
9.Wei, Z. and Zhao, Y.P., “Growth of Liquid Bridge in AFM,” Journal of Physics D: Applied Physics, 40, pp. 43684375 (2007).Google Scholar
10.Yang, L.J., Yao, T.J. and Tai, Y.C., “The Marching Velocity of the Capillary Meniscus in a Microchannel,” Journal of Micromechanics and Microengineering, 14, pp. 220225 (2004).Google Scholar
11.Yang, L.J., Liu, K.C. and Lin, W.C., “On Deriving Surface Tension Forces in MEMS,” Journal of Applied Science and Engineering, 17, pp. 223230 (2014).Google Scholar
12.Yang, L.J. and Liu, K.C., “Surface Tension-Driven Micro Valves with Large Rotating Stroke,” Tamkang Journal of Science and Engineering, 10, pp. 141146 (2007).Google Scholar
13.Loke, Y., McKinnon, G.H. and Brette, M.J., “Fabrication and Characterization of Silicon Micro-machined Threshold Accelerometers,” Sensors and Actuators A: Physical, 29, pp. 235240 (1991).CrossRefGoogle Scholar
14.Degani, O., “Pull-in Study of an Electrostatic Torsion Mirror,” Journal of Microelectromechanical Systems, 7, pp. 373379 (1998).CrossRefGoogle Scholar
15.Wang, H.J., “Capillary of Rectangular Micro Grooves and Their Applications to Heat Pipes,” Tamkang Journal of Science and Engineering, 8, pp. 249255 (2005).Google Scholar
16.Gere, G.M. and Timoshenko, S.P., Mechanics of Materials, 2nd Edition, Wadsworth Publishing Co. Inc., Belmont, CA, USA, pp. 736737 (1984).Google Scholar
17.Yang, L.J., Jan, D.L. and Lin, W.C., “Steel-Based Bionic Actuators for Flapping Micro-air-vehicles,” Micro and Nano Letters, 8, pp. 686690 (2013).Google Scholar
18.Bico, J., Roman, B., Moulin, L. and Boudaoud, A., “Elastocapillary Coalescence in Wet Hair,” Nature, 432, p. 690 (2004).Google Scholar
19.Yao, T.J., Yang, X. and Tai, Y.C., “BrF3 Dry Release Technology for Large Freestanding Parylene Microstructures and Electrostatic Actuators,” Sensors and Actuators A: Physical, 97–98, pp. 771775 (2002).Google Scholar
20.van Spengen, W.M., Puers, R. and De Wolf, I., “The Prediction of Stiction Failure in MEMS,” IEEE Transactions on Device and Materials Reliability, 3, pp. 167172 (2003).CrossRefGoogle Scholar
21.Wang, Z., Wang, F.C. and Zhao, Y.P., “Tap Dance of a Water Droplet,” Proceedings of the Royal Society A, 468, pp. 24852495 (2012).Google Scholar