In the present work, we report a microbridge testing method for a bilayer microbridge beam initially buckled by a residual compressive resultant force and a residual moment. A theoretical formula is derived in closed form with the consideration of substrate deformation. Measuring the profile of the initial buckling, one can evaluate the Young's modulus and residual stress of each layer of the bilayer beam. Alternatively, the Young's modulus and residual stress can be evaluated also from the loaddeflection curve of the microbridge. Experimentally, Si3N4(200 nm)/SiO2(400 nm) microbridge samples were fabricated on a silicon wafer by the micromachining technique. The Young's modulus and residual stress were determined from the microbridge test to be 35 ± 2 GPa and –380 ± 20 MPa for the silicon oxide layer and 250 ± 7 GPa and 470 ± 15 MPa for the silicon nitride layer.
Similar content being viewed by others
References
Wang X.S., Li J.L., Zhang T.Y. (2006), J. Micromech. Microeng. 16:122–33
Guckel H., Randazzo T., Burns D.W. (1985), J. Appl. Phys. 57:1671–75
Fang W., Wickert J.A. (1994), J. Micromech. Microeng. 4:116–22
Kobrinsky M.J., Deutsch E.R., Senturia S.D. (2000), J. Microelectromech. Syst. 9:361–68
Cao Z.Q., Zhang T.Y., Zhang X. (2005), J. Appl. Phys. 97:1–9
Zhang T.Y., Su Y.J., Qian C.F., Zhao M.H., Chen L.Q. (2000), Acta Mater. 48:2843–57
Huang B., Zhang T.Y. (2006), J. Micromech. Microeng. 16:133–42
Hirth J.P., Lothe J. (1982). Theory of Dislocations. John Wiley, New York, NY
Vlassak J.J., Nix W.D. (1992), J. Mater. Res. 7:3242–49
Tabata G.O., Kawahata K., Sugiyama S., Igarashi I. (1989), Sens. Actuators. 20:135–41
Hong S., Weihs T.P., Bravman J.C., Nix W.D. (1990), J. Electron. Mater. 19:903–09
Robic J.Y., Leplan H., Payleau Y., Rafin B. (1996), Thin Solid Films 291:34–39
Denhoff M.W. (2003), J. Micromech. Microeng. 13:686–92
Cardinale G.F., Tustison R.W. (1992), Thin Solid Films 207 (1-2):126–30
Timoshenko S., Woinowsky-Krieger S. (1959). Theory of Plates and Shells. McGraw-Hill, New York, NY
Author information
Authors and Affiliations
Corresponding author
Additional information
This article is based on a presentation given in the symposium entitled “Deformation and Fracture from Nano to Macro: A Symposium Honoring W.W. Gerberich's 70th Birthday,” which occurred during the TMS Annual Meeting, March 12–16, 2006, in San Antonio, Texas, and was sponsored by the Mechanical Behavior of Materials and Nanomechanical Behavior Committees of TMS.
Rights and permissions
About this article
Cite this article
Wang, XS., Zhang, TY. Microbridge Tests on Bilayer Thin Films. Metall Mater Trans A 38, 2273–2282 (2007). https://doi.org/10.1007/s11661-007-9179-5
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11661-007-9179-5