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2020 | OriginalPaper | Chapter

Measurement of Elastic Nonlinearities Using the Fundamental Edge Wave Mode

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Abstract

Measurement of the nonlinear elastic properties of materials represents a great interest in engineering and materials science. Changes of these properties are often related to mechanical damage and applied stresses, which are paramount for maintaining integrity and safety of structures. Current ultrasonic techniques typically utilise bulk, Lamb, or Rayleigh waves to measure material nonlinearities, however, spatial and velocity dispersion make this a very difficult task, and the use of several (empirical) correction factors is usually required. In this work we suggest using the fundamental edge wave mode – a natural analogue of the classical Rayleigh wave propagating in a finite thickness plate – for the purpose of measuring elastic nonlinearities. Edge waves naturally avoid spatial dispersion as they are guided by the apex of a plate, thus avoiding the need for correction factors. Additionally, the fundamental edge wave mode can propagate long distances without significant attenuation under certain conditions. The outcomes of this study demonstrate that the measurement of material nonlinearities is achievable using the fundamental edge wave mode. A linear trend between the nonlinearity parameter and propagation distance is experimentally observed, which is predicated by theoretical studies. Therefore, potential applications of the fundamental edge wave mode are very promising for the evaluation of mechanical damage and measurement of applied or residual stresses.

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Literature
1.
go back to reference Matlack, K.H., Kim, J.-Y., Jacobs, L.J., Qu, J.: Experimental characterization of efficient second harmonic generation of Lamb wave modes in a nonlinear elastic isotropic plate. J. Appl. Phys. 109, 014905 (2011)CrossRef Matlack, K.H., Kim, J.-Y., Jacobs, L.J., Qu, J.: Experimental characterization of efficient second harmonic generation of Lamb wave modes in a nonlinear elastic isotropic plate. J. Appl. Phys. 109, 014905 (2011)CrossRef
2.
go back to reference Matlack, K.H., Kim, J.-Y., Jacobs, L.J., Qu, J.: Review of second harmonic generation measurement techniques for material state determination in metals. J. Nondestr. Eval. 34, 273 (2014)CrossRef Matlack, K.H., Kim, J.-Y., Jacobs, L.J., Qu, J.: Review of second harmonic generation measurement techniques for material state determination in metals. J. Nondestr. Eval. 34, 273 (2014)CrossRef
3.
go back to reference Zuo, P., Zhou, Y., Fan, Z.: Numerical and experimental investigation of nonlinear ultrasonic Lamb waves at low frequency. Appl. Phys. Lett. 109(2), 021902 (2016)CrossRef Zuo, P., Zhou, Y., Fan, Z.: Numerical and experimental investigation of nonlinear ultrasonic Lamb waves at low frequency. Appl. Phys. Lett. 109(2), 021902 (2016)CrossRef
4.
go back to reference Pruell, C., Kim, J.-Y., Qu, J., Jacobs, L.J.: Evaluation of plasticity driven material damage using Lamb waves. Appl. Phys. Lett. 92(23), 231911 (2007)CrossRef Pruell, C., Kim, J.-Y., Qu, J., Jacobs, L.J.: Evaluation of plasticity driven material damage using Lamb waves. Appl. Phys. Lett. 92(23), 231911 (2007)CrossRef
5.
go back to reference Li, W., Cho, Y., Achenbach, J.D.: Detection of thermal fatigue in composites by second harmonic Lamb waves. Smart Mater. Struct. 21(8), 085019 (2012)CrossRef Li, W., Cho, Y., Achenbach, J.D.: Detection of thermal fatigue in composites by second harmonic Lamb waves. Smart Mater. Struct. 21(8), 085019 (2012)CrossRef
6.
go back to reference de Lima, W.J.N., Hamilton, M.F.: Finite-amplitude waves in isotropic elastic plates. J. Sound Vib. 265(4), 819–839 (2003)CrossRef de Lima, W.J.N., Hamilton, M.F.: Finite-amplitude waves in isotropic elastic plates. J. Sound Vib. 265(4), 819–839 (2003)CrossRef
7.
go back to reference Wilde, M.V., Golub, M.V., Eremin, A.A.: Experimental and theoretical investigation of transient edge waves excited by a piezoelectric transducer bonded to the edge of a thick elastic plate. J. Sound Vib. 441, 26–49 (2019)CrossRef Wilde, M.V., Golub, M.V., Eremin, A.A.: Experimental and theoretical investigation of transient edge waves excited by a piezoelectric transducer bonded to the edge of a thick elastic plate. J. Sound Vib. 441, 26–49 (2019)CrossRef
9.
go back to reference Hughes, J.M., Kotousov, A., Ng, C.-T.: Generation of higher harmonics with the fundamental edge wave mode. Appl. Phys. Lett. 116, 101904 (2020)CrossRef Hughes, J.M., Kotousov, A., Ng, C.-T.: Generation of higher harmonics with the fundamental edge wave mode. Appl. Phys. Lett. 116, 101904 (2020)CrossRef
10.
go back to reference Shaw, E.A.G.: On the resonant vibrations of thick barium titanate disks. J. Acoust. Soc. Am. 28(1), 38–50 (1956)CrossRef Shaw, E.A.G.: On the resonant vibrations of thick barium titanate disks. J. Acoust. Soc. Am. 28(1), 38–50 (1956)CrossRef
11.
go back to reference Gazis, D.G., Mindlin, R.D.: Extensional vibrations and waves in a circular disk and a semi-infinite plate. J. Appl. Mech. 27(3), 541–547 (1960)MathSciNetCrossRef Gazis, D.G., Mindlin, R.D.: Extensional vibrations and waves in a circular disk and a semi-infinite plate. J. Appl. Mech. 27(3), 541–547 (1960)MathSciNetCrossRef
12.
go back to reference Kube, C.M., Arguelles, A.P.: Ultrasonic harmonic generation from materials with up to cubic nonlinearity. J. Acoust. Soc. Am. 142(2), 224–230 (2017)CrossRef Kube, C.M., Arguelles, A.P.: Ultrasonic harmonic generation from materials with up to cubic nonlinearity. J. Acoust. Soc. Am. 142(2), 224–230 (2017)CrossRef
13.
go back to reference Hughes, J.M., Vidler, J., Ng, C.-T., Khanna, A., Mohabuth, M., Rose, L.F.R., Kotousov, A.: Comparative evaluation of in situ stress monitoring with Rayleigh waves. Struct. Health Monit. 18(1), 205–215 (2019)CrossRef Hughes, J.M., Vidler, J., Ng, C.-T., Khanna, A., Mohabuth, M., Rose, L.F.R., Kotousov, A.: Comparative evaluation of in situ stress monitoring with Rayleigh waves. Struct. Health Monit. 18(1), 205–215 (2019)CrossRef
14.
go back to reference Hughes, J.M., Vidler, J., Khanna, A., Mohabuth, M., Kotousov, A., Ng, C.-T.: Measurement of residual stresses in rails using Rayleigh waves. In: SIF18 Conference, Perth (2019) Hughes, J.M., Vidler, J., Khanna, A., Mohabuth, M., Kotousov, A., Ng, C.-T.: Measurement of residual stresses in rails using Rayleigh waves. In: SIF18 Conference, Perth (2019)
Metadata
Title
Measurement of Elastic Nonlinearities Using the Fundamental Edge Wave Mode
Authors
James Martin Hughes
Andrei Kotousov
Ching-Tai Ng
Copyright Year
2020
DOI
https://doi.org/10.1007/978-3-030-47883-4_23

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