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Embedded optical fiber Bragg grating sensor in a nonuniform strain field: Measurements and simulations

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This paper investigates the use of embedded optical fiber Bragg gratings to measure strain near a stress concentration within a solid structure. Due to the nature of a stress concentration (i.e., the strong nonuniformity of the strain field), the assumption that the grating spectrum in reflection remains a single peak with a constant bandwidth is not valid. Compact tension specimens including a controlled notch shape are fabricated, and optical fiber Bragg gratings with different gage lengths are embedded near the notch tip. The form of the spectra in transmission varies between gages that are at different distances from the notch tip under given loading conditions. This variation is shown to be due to the difference in the distribution of strain along the gage length. By using the strain field measured using electronic speckle pattern interferometry on the specimen surface and a discretized model of the grating, the spectra in transmission are then calculated analytically. For a known strain distribution, it is then shown that one can determine the magnitude of the applied force on the specimen. Thus, by considering the nonuniformity of the strain field, the optical fiber Bragg gage functions well as an embedded strain gage near the stress concentration.

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  1. Measures, R., “Smart Composite Structures with Embedded Sensors,”Composites Eng.,2,597–618 (1992).

    Google Scholar 

  2. Butter, C.D. andHocker, G.B., “Fiber Optic Strain Gauge,”Appl. Opt.,17,2867–2869 (1978).

    Google Scholar 

  3. Miller, M., Case, S., Carmen, G., Schmid, C.A., May, R.G., andClaus, R.D., “Validation of Axial Strain Transfer from a Composite Laminate to Embedded Optical Fiber Sensors,”Proc. SPIE,1798,19–29 (1992).

    Google Scholar 

  4. Pak, Y., “Longitudinal Shear Transfer in Fiber Optic Sensors,”Smart Mat. Struct.,1,57–62 (1992).

    Google Scholar 

  5. Piggott, M.R., “Interface Properties of Fiber-reinforced Polymers,”Composite Applications: The Role of Matrix, Fiber, and Interface, T. Vigo andB. Kinzig, eds. VCH, New York, 230–251 (1992).

    Google Scholar 

  6. Sirkis, J. andLu, I., “On Interphase Modeling for Optical Fiber Sensors Embedded in Unidirectional Composite Systems,”Adapt. Struct. Mat. Sys.,35,419–426 (1993).

    Google Scholar 

  7. Huang, S., Ohn, M., LeBlanc, M., andMeasures, R., “Continuous Arbitrary Strain Profile Measurements with Fiber Bragg Gratings,”Smart Mat. Struct.,7,248–256 (1998).

    Google Scholar 

  8. Limberger, H.G., Fonjallaz, P.Y., andSalathé, R.P., “Spectral Characterization of Photoinduced High Efficient Bragg Gratings in Standard Telecommunication Fibers,”Electr. Lett.,29,47–48 (1993).

    Google Scholar 

  9. Volanthen, M., Geiger, H., Cole, M.J., andDakin, J.P., “Measurement of Arbitrary Strain Profiles within Fibre Gratings,”Electr. Lett.,32,1028–1029 (1996).

    Google Scholar 

  10. Bennion, I., Williams, J.A.R., Zhang, L., Sugden, K., andDoran, N.J., “UV-written In-fibre Bragg Gratings,”Opt. Quant. Electr.,28,93–135 (1996).

    Google Scholar 

  11. Davis, M., Bellemore, D., Putnam, M., andKersey, A., “High Strain Monitoring in Composite-wrapped Concrete Cylinders Using Embedded Fiber Bragg Grating Arrays,”Proc. SPIE,2721,114–123 (1996).

    Google Scholar 

  12. Simonsen, H., Paetsch, R., and Dunphy, J., “Fiber Bragg Grating Sensor Demonstration in Glass-fiber Reinforced Polyester Composite,” Proceedings of the First European Conference on Smart Structures And Materials, 73–76 (1992).

  13. Erdogan, T., “Fiber Grating Spectra,”J. Lightwave Tech.,15,1277–1294 (1997).

    Article  Google Scholar 

  14. Yamada, M. andSakuda, K., “Analysis of Almost-periodic Distributed Feedback Slab Waveguides via a Fundamental Matrix Approach,”Appl. Opt.,26,3474–3478 (1987).

    Google Scholar 

  15. Carmen, G. andSendeckyj, G., “Review of the Mechanics of Embedded Optical Sensors,”J. Composites Tech. Res.,17,183–193 (1995).

    Google Scholar 

  16. Jones, R. andWykes, C., Holographic and Speckle Interferometry, Cambridge University Press, New York (1989).

    Google Scholar 

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Peters, K., Studer, M., Botsis, J. et al. Embedded optical fiber Bragg grating sensor in a nonuniform strain field: Measurements and simulations. Experimental Mechanics 41, 19–28 (2001).

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