Abstract
Shape of a substrate directly influences the residual stress in thin film coatings. In this study, a method involving Fiber Bragg Grating (FBG) was used to measure residual stress in a film deposited on a cylindrical surface. An FBG has a cylindrical surface and its Bragg wavelength shifts continuously when a film is being deposited on the sensor’s surface. Herein, we calculated the residual strain in the film from the wavelength shift of the Bragg grating by studying the transfer of the residual strain of the cylindrical film to the core of the optical fiber substrate during deposition. By employing the energy method, we derived expressions that related the strain in the core of fiber to the residual strain in single layer films, bilayer films, and multilayer cylindrical films. As an example, we demonstrated a detailed process for testing the stress and the strain distribution across a nickel (Ni) film electrodeposited on the surface of a nickel-phosphorus (Ni-P) alloy-coated optical fiber. The results indicated that the measured strain repeatability was less than 500 μɛ and the strain sensitivity was more than −2 × 10−3 pm/μɛ, when the thickness of the film was less than 5 μm. The negative sign on the strain sensitivity indicated that the tensile strain in the film produced compressive strain in the core of the optical fiber. The FBG sensor system has high test speed, and integrates measurement and signal transmission. This method provides an effective and convenient approach to measure stress in a film deposited on a cylindrical surface.
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References
Noce RD, Barelli N, Marques RFC, Sumodjo PTA, Benedetti AV (2007) The influence of residual stress and crystallite size on the magnetic properties of electrodeposited nanocrystalline Pd–Co alloys. Surf Coat Technol 202(1):107–113. doi:10.1016/j.surfcoat.2007.04.082
Haiss W, Nichols RJ, Sass J-K (1997) In situ monitoring of intrinsic stress changes during copper electrodeposition on Au(111). Surf Sci 388(1–3):141–149. doi:10.1016/S0039-6028(97)00385-3
Janssen GCAM, Abdalla MM, van Keulen F, Pujada BR, van Venrooy B (2009) Celebrating the 100th anniversary of the Stoney equation for film stress: developments from polycrystalline steel strips to single crystal silicon wafers. Thin Solid Films 517(6):1858–1867. doi:10.1016/j.tsf.2008.07.014
Kim CW, Cho KH, Suk HG (2014) A study of the effect of residual stress on magnetic properties of Fe-Ni thin film using a synchrotron X-ray. Phys Met Metallogr 115(13):1338–1341. doi:10.1134/s0031918x14130092
Freund LB, Suresh S (2008) Thin film materials: stress, defect formation and surface evolution. Cambridge University Press, Cambridge, pp. 93–234
He Q, Luo ZX, Chen XY (2008) Comparison of residual stress measurement in thin films using surface micromachining method. Thin Solid Films 516(16):5318–5323. doi:10.1016/j.tsf.2007.07.086
Kang TJ, Kim T, Park S-H, Lee JS, Lee JH, Hahn J-H, Lee H-Y, Kim YH (2014) Room-temperature control of the residual stress gradient in titanium micro-cantilever beams by helium ion implantation. Sensors Actuators A Phys 216:116–122. doi:10.1016/j.sna.2014.04.046
Lan M, Li H, Wang D, Li Y, Xu G (2014) Fabrication of glass fibers uniformly coated with metal films by magnetron sputtering by a two step process involving fixation by a photoresist. Vacuum 110:87–93. doi:10.1016/j.vacuum.2014.09.003
Dragonja U, Tratnik J, Batagelj B (2013) Use of copper-coated fiber as a tunable optical time-delay line in precise timing systems. Opt Quant Electron 45(12):1229–1235. doi:10.1007/s11082-013-9743-8
Song D-R, Jun CS, Do Lim S, Kim BY (2014) Effect of metal coating in all-fiber acousto-optic tunable filter using torsional wave. Opt Express 22(25):30873–30881. doi:10.1364/oe.22.030873
Rao C, Zhang H, Feng Y, Xiao L, Ye Z (2012) Thick metal coating long-period fiber grating. In, 2012. Proc. SPIE 8418, 6th International Symposium on Advanced Optical Manufacturing and Testing Technologies: Design, Manufacturing, and Testing of Smart Structures, Micro- and Nano-Optical Devices, and Systems, 84181Q (15 October 2012); doi:10.1117/12.952476
Rao C, Zhang H, Feng Y, Xiao L, Ye Z (2013) Effect of metalizing nickel on the spectrum of fiber Bragg grating. Opt Eng 52(5):054404–054404. doi:10.1117/1.oe.52.5.054404
Zheng X, Hu W, Zhang N, Gao M (2014) Optical corrosion sensor based on fiber Bragg grating electroplated with Fe-C film. Opt Eng 53(7):077104–077104. doi:10.1117/1.oe.53.7.077104
Korenko B, Rothhardt M, Hartung A, Bartelt H (2015) Novel fiber-optic relative humidity sensor with thermal compensation. IEEE Sensors J 15(10):5450–5454. doi:10.1109/jsen.2015.2444100
Wu R, Zheng B, Fu K, He P, Tan Y (2014) Study on strain transfer of embedded fiber Bragg grating sensors. Opt Eng 53(8):085105–085105. doi:10.1117/1.oe.53.8.085105
Schukar VG, Kusche N, Habel WR (2012) How reliably do fiber Bragg grating patches perform as strain sensors? IEEE Sensors J 12(1):128–132. doi:10.1109/jsen.2011.2139202
Freund LB, Floro JA, Chason E (1999) Extensions of the Stoney formula for substrate curvature to configurations with thin substrates or large deformations. Appl Phys Lett 74(14):1987–1989. doi:10.1063/1.123722
Wang Y, Han B, Kim DW, Bar-Cohen A, Joseph P (2007) Integrated measurement technique for curing process-dependent mechanical properties of polymeric materials using fiber Bragg grating. Exp Mech 48(1):107–117. doi:10.1007/s11340-007-9067-3
Dini JW (1993) ELECTRODEPOSITION_The materials science of coatings and substrates. Noyes Publications, New Jersey, pp. 297–300
Optical Sensing Interrogation sm230 (MICRON OPTICS INTERNATIONAL, 2015), http://www.moiag.com/Australia/DateSheets.htm
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The authors greatly acknowledge the financial support from the National Natural Science Foundation of China (Grant Nos. 81460109 and 61368001) and the Jiangxi province Science & Technology Pillar Program (Grant No. 20142BBE50059).
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Rao, C., Ye, Z., Zhong, H. et al. Fiber Bragg Grating Based Stress Measurement for Films Deposited onto Cylindrical Surfaces. Exp Mech 56, 1577–1583 (2016). https://doi.org/10.1007/s11340-016-0196-4
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DOI: https://doi.org/10.1007/s11340-016-0196-4