Abstract
The scaling subtraction method (SSM) is a non-destructive measurement approach used to extract nonlinear features from the elastic response of a structure. As such it can be used for damage detection purposes by identifying nonlinearities that may result from the presence of micro cracks or inclusions in granular and metallic materials. The effectiveness of such a technique to detect the presence of damage modes typical of laminated composite materials has not been yet assessed. With the purpose of filling this gap, in this paper the SSM is applied to inspect two laminated composite plates with different sizes, impact positions and sensor arrangement. Intact and damaged specimens are tested under harmonic excitations of different amplitude and frequency (the latter selected among the ultrasonic natural frequencies of the two plates). For each excitation case the recorded vibration signals are subtracted from the linearly rescaled reference signals and the SSM nonlinear indicators are calculated. The sensitivity of the method to the presence of damage is assessed in different sensor-receiver scenarios as well as for different excitation frequency and amplitude levels. Finite element numerical investigations are also performed to make comparisons with the experimental results.
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References
Worden, K., Farrar, C.R., Haywood, J., Todd, M.: A review of nonlinear dynamics applications to structural health monitoring. Struct. Control Health Monit. 15(4), 540–567 (2008). doi:10.1002/stc.215
Nagy, P.B.: Fatigue damage assessment by nonlinear ultrasonic materials characterization. Ultrasonics 36, 375–381 (1998). doi:10.1016/S0041-624X(97)00040-1
Ciampa, F., Onder, E., Barbieri, E., Meo, M.: Detection and modelling of nonlinear elastic response in damaged composite structures. J. Nondestruct. Eval. 33(4), 515–521 (2014). doi:10.1007/s10921-014-0247-7
Van Den Abeele, K.A., Johnson, P.A., Sutin, A.: Nonlinear elastic wave spectroscopy (NEWS) techniques to discern material damage, part I: nonlinear wave modulation spectroscopy (NWMS). Res. Nondestruct. Eval. 12(1), 17–30 (2000). doi:10.1007/s001640000002
Van Den Abeele, K.A., Johnson, P.A., Sutin, A.: Nonlinear elastic wave spectroscopy (NEWS) techniques to discern material damage, part II: single-mode nonlinear resonance acoustic spectroscopy. Res. Nondestruct. Eval. 12(1), 31–42 (2000). doi:10.1080/09349840009409647
Scalerandi, M., Gliozzi, A.S., Bruno, C.L.E., Masera, D., Bocca, P.: A scaling method to enhance detection of a nonlinear elastic response. Appl. Phys. Lett. 92, 101912 (2008). doi:10.1063/1.2890031
Scalerandi, M., Gliozzi, A.S., Bruno, C.L., Van Den Abeele, K.: Nonlinear acoustic time reversal imaging using the scaling subtraction method. J. Phys. D 41(21), 215404 (2008). doi:10.1088/0022-3727/41/21/215404
Bruno, C.L., Gliozzi, A.S., Scalerandi, M., Antonaci, P.: Analysis of elastic nonlinearity using the scaling subtraction method. Phys. Rev. B 79(6), 064108 (2009). doi:10.1103/PhysRevB.79.064108
Antonaci, P., Bruno, C.L., Gliozzi, A.S., Scalerandi, M.: Monitoring evolution of compressive damage in concrete with linear and nonlinear ultrasonic methods. Cem. Concr. Res. 40(7), 1106–1113 (2010). doi:10.1016/j.cemconres.2010.02.017
Antonaci, P., Formia, A., Gliozzi, A.S., Scalerandi, M., Tulliani, J.M.: Diagnostic application of nonlinear ultrasonics to characterize degradation by expansive salts in masonry systems. NDT&E Int. 55, 57–63 (2013). doi:10.1016/j.ndteint.2013.01.013
Antonaci, P., Bruno, C.L., Gliozzi, A.S., Scalerandi, M.: Evolution of damage-induced nonlinearity in proximity of discontinuities in concrete. Int. J. Solid. Struct. 47(11–12), 1603–1610 (2010). doi:10.1016/j.ijsolstr.2010.02.025
Antonaci, P., Bruno, C.L., Scalerandi, M., Tondolo, F.: Effects of corrosion on linear and nonlinear elastic properties of reinforced concrete. Cem. Concr. Res. 51, 96–103 (2013). doi:10.1016/j.cemconres.2013.04.006
Scalerandi, M., Griffa, M., Antonaci, P., Wyrzykowski, M., Lura, P.: Nonlinear elastic response of thermally damaged consolidated granular media. J. Appl. Phys. 113(15) (2013). doi:10.1063/1.4801801
Ulrich, T.J., Johnson, P.A., Sutin, A.: Imaging nonlinear scatterers applying the time reversal mirror. J. Acoust. Soc. Am. 119(3), 1514–1518 (2006). doi:10.1121/1.2168413
Tracy, J.J., Pardoen, G.C.: Effect of delamination on the flexural stiffness of composite laminates. Thin-Walled Struct. 6(5), 371–383 (1988)
Toyama, N., Takatsubo, J.: Lamb wave method for quick inspection of impact-induced delamination in composite laminates. Compos. Sci. Technol. 64(9), 1293–1300 (2004). doi:10.1016/j.compscitech.2003.10.011
Cantwell, W.J., Morton, J.: Detection of impact damage in CFRP laminates. Compos. Struct. 3(3), 241–257 (1985). doi:10.1016/0263-8223(85)90056-X
Bull, D.J., Helfen, L., Sinclair, I., Spearing, S.M., Baumbach, T.: A comparison of multi-scale 3D X-ray tomographic inspection techniques for assessing carbon fibre composite impact damage. Compos. Sci. Technol. 75, 55–61 (2013). doi:10.1016/j.compscitech.2012.12.006
Seltzer, R., González, C., Muñoz, R., LLorca, J., Blanco-Varela, T.: X-ray microtomography analysis of the damage micromechanisms in 3D woven composites under low-velocity impact. Composites Part A 45, 49–60 (2013). doi:10.1016/j.compositesa.2012.09.017
Meo, M., Polimeno, U., Zumpano, G.: Detecting damage in composite material using nonlinear elastic wave spectroscopy methods. Appl. Compos. Mater. 15(3), 115–126 (2008). doi:10.1007/s10443-008-9061-7
Ryu, C.H., Park, S.H., Kim, D.H., Jhang, K.Y., Kim, H.S.: Nondestructive evaluation of hidden multi-delamination in a glass-fiber-reinforced plastic composite using terahertz spectroscopy. Compos. Struct. (2015). doi:10.1016/j.compstruct.2015.09.055
Solodov, I., Rahammer, M., Derusova, D., Busse, G.: Highly-efficient and noncontact vibro-thermography via local defect resonance. Quant. InfraRed Thermogr. J. 12(1), 98–111 (2015). doi:10.1080/17686733.2015.1026018
Pieczonka, Ł., Szwedo, M.: Vibrothermography. In: Stepinski, T., Uhl, T., Staszewski, W.J. (eds.) Advanced Structural Damage Detection: From Theory to Engineering Applications, pp. 233–261. Wiley, New York (2013). doi:10.1002/9781118536148
Pieczonka, Ł., Aymerich, F., Brozek, G., Szwedo, M., Staszewski, W.J., Uhl, T.: Modelling and numerical simulations of vibrothermography for impact damage detection in composites structures. Struct. Control Health Monit. 20(4), 626–638 (2013). doi:10.1002/stc.1483
Garnier, C., Pastor, M.L., Eyma, F., Lorrain, B.: The detection of aeronautical defects in situ on composite structures using non destructive testing. Compos. Struct. 93(5), 1328–1336 (2011). doi:10.1016/j.compstruct.2010.10.017
Aggelis, D.G., Barkoula, N.M., Matikas, T.E., Paipetis, A.S.: Acoustic structural health monitoring of composite materials: damage identification and evaluation in cross ply laminates using acoustic emission and ultrasonics. Compos. Sci. Technol. 72(10), 1127–1133 (2012). doi:10.1016/j.compscitech.2011.10.011
Balageas, D., Maldague, X., Burleigh, D., Vavilov, V.P., Oswald-Tranta, B., Roche, J.M., Pradere, C., Carlomagno, G.M.: Thermal (IR) and other NDT techniques for improved material inspection. J. Nondestruct. Eval. 35(1), 1–17 (2016). doi:10.1007/s10921-015-0331-7
Zou, Y., Tong, I., Steven, G.P.: Vibration-based model dependent damage (delamination) identification and health monitoring for composite structures: a review. J. Sound Vib. 230, 357–378 (2000). doi:10.1006/jsvi.1999.2624
Montalvao, D., Maia, N.M.M., Ribeiro, A.M.R.: A review of vibration-based structural health monitoring with special emphasis on composite materials. Shock Vib. Digest 38(4), 295–326 (2006). doi:10.1177/0583102406065898
Ooijevaar, T.H., Warnet, L.L., Loendersloot, R., Akkerman, R., Tinga, T.: Impact damage identification in composite skin-stiffener structures based on modal curvatures. Struct. Control Health Monit. 23(2), 198–217 (2016). doi:10.1002/stc.1754
Pérez, M.A., Gil, L., Oller, S.: Impact damage identification in composite laminates using vibration testing. Compos. Struct. 108, 267–276 (2014). doi:10.1016/j.compstruct.2013.09.025
Yuan, S., Wang, L., Peng, G.: Neural network method based on a new damage signature for structural health monitoring. Thin-Walled Struct. 43(4), 553–563 (2005). doi:10.1016/j.tws.2004.10.003
Ullah, I., Sinha, J.K., Pinkerton, A.: Vibration-based delamination detection in a composite plate. Mech. Adv. Mater. Struct. 20(7), 536–551 (2013). doi:10.1080/15376494.2011.643275
Pieczonka, Ł., Staszewski, W.J., Uhl, T.: Investigation of nonlinear vibro-acoustic wave modulation mechanisms in composite laminates. Key Eng. Mater. 569, 96–102 (2013). doi:10.4028/www.scientific.net/KEM.569-570.96
Klepka, A., Pieczonka, Ł., Staszewski, W.J., Aymerich, F.: Composites Part B 65, 99–108 (2014). doi:10.1016/j.compositesb.2013.11.003
Chen, B.Y., Soh, S.K., Lee, H.P., Tay, T.E., Tan, V.B.: A vibro-acoustic modulation method for the detection of delamination and kissing bond in composites. J. Compos. Mater. 50(22), 3089–3104 (2016). doi:10.1177/0021998315615652
Le Bas, P.-Y., Remillieux, M.C., Pieczonka, L., Ten Cate, J.A., Anderson, B.E., Ulrich, T.J.: Damage imaging in a laminated composite plate using an air-coupled time reversal mirror. Appl. Phys. Lett. 107(18), 184102 (2015). doi:10.1063/1.4935210
Klepka, A., Strączkiewicz, M., Pieczonka, Ł., Staszewski, W.J., Gelman, L., Aymerich, F., Uhl, T.: Triple correlation for detection of damage-related impact damage detection in laminated composites by non-linear vibro-acoustic wave modulations nonlinearities in composite structures. Nonlinear Dynam. 81(1–2), 453–468 (2015). doi:10.1007/s11071-015-2004-6
Frau, A., Pieczonka, Ł., Porcu, M.C., Staszewski, W.J., Aymerich, F.: Analysis of elastic nonlinearity for impact damage detection in composite laminates. J. Phys. Conf. Ser. 628(1), 012103 (2015). doi:10.1088/1742-6596/628/1/012103
Acknowledgements
The authors gratefully acknowledge Mr. Marco Ibba for doing some numerical simulations relevant to the present investigation during his master’s thesis.
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Porcu, M.C., Pieczonka, L., Frau, A. et al. Assessing the Scaling Subtraction Method for Impact Damage Detection in Composite Plates. J Nondestruct Eval 36, 33 (2017). https://doi.org/10.1007/s10921-017-0413-9
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DOI: https://doi.org/10.1007/s10921-017-0413-9