Abstract
Acoustic emission (AE) hits from uniaxial compression tests of andesite rock samples were processed with the continuous wavelet transform (CWT). The quest for frequency bands with minimum entropy values arrived at 150 and 250 kHz as those related to macro-fracture mechanisms. A preprocessing algorithm was developed in order to attenuate the influence of reflected signals at the inner interfaces of the material. It is based on the detection of abrupt phase changes of the CWT coefficients. Entropy calculations performed with the hits already processed permitted a reliable study of the AE entropy evolution in the relevant frequency bands and its relationship with the corresponding cumulative AE energy evolution.
This is a preview of subscription content, access via your institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsReferences
Huq, F., Liu, J., Tonge, A.L., Graham-Brady, L.: A micromechanics based model to predict micro-crack coalescence in brittle materials under dynamic compression. Eng. Fract. Mech. (2019). https://doi.org/10.1016/J.ENGFRACMECH.2019.106515
Zitto, M.E., Piotrkowski, R., Gallego, A., Sagasta, F., Benavent-Climent, A.: Damage assessed by wavelet scale bands and b-value in dynamical tests of a reinforced concrete slab monitored with acoustic emission. Mech. Syst. Signal Process. (2015). https://doi.org/10.1016/J.YMSSP.2015.02.006
Sagasta, F., Zitto, M.E., Piotrkowski, R., Benavent-Climent, A., Suarez, E., Gallego, A.: Acoustic emission energy b-value for local damage evaluation in reinforced concrete structures subjected to seismic loadings. Mech. Syst. Signal Process. (2018). https://doi.org/10.1016/j.ymssp.2017.09.022
Filipussi, D., Piotrkowski, R., Ruzzante, J.: Characterization of a crack by the acoustic emission signal generated during propagation. Procedia Mater. Sci. (2012). https://doi.org/10.1016/j.mspro.2012.06.036
Amiri, M., Modarres, M.: An entropy-based damage characterization. Entropy (2014). https://doi.org/10.3390/e16126434
Imanian, A., Modarres, M.: A thermodynamic entropy-based damage assessment with applications to prognostics and health management. Struct. Health Monit. (2018). https://doi.org/10.1177/1475921716689561
Vaughn, N., Kononov, A., Moore, B., Rougier, E., Viswanathan, H., Hunter, A.: Statistically informed upscaling of damage evolution in brittle materials. Theor. Appl. Fract. Mech. (2019). https://doi.org/10.1016/J.TAFMEC.2019.04.012
Kang, Y., Liu, H., Aziz M., Kassim, K.A.: A wavelet transform method for studying the energy distribution characteristics of microseismicities associated rock failure. J. Traffic Transp. Eng. (Engl. Ed.) (2019). https://doi.org/10.1016/J.JTTE.2018.03.007
Grosse, C., Ohtsu, M. (eds.): Acoustic Emission Testing. Springer, Heidelberg (2008)
Ono, K. : Acoustic Emission. In: Rossing T.D. (ed.) Springer Handbook of Acoustics. Springer Handbooks. Springer, New York (2014)
Piotrkowski, R., Castro, E., Gallego, A.: Wavelet power, entropy and bispectrum applied to AE signals for damage identification and evaluation of corroded galvanized steel. Mech. Syst. Signal Process. (2009). https://doi.org/10.1016/j.ymssp.2008.05.006
Piotrkowski, R., Gallego, A., Castro, E., García-Hernandez, M.T., Ruzzante, J.E.: Ti and Cr nitride coating/steel adherence assessed by acoustic emission wavelet analysis. NDT & E Int. (2005). https://doi.org/10.1016/J.NDTEINT.2004.09.002
Meyer, Y., Ryan, R.: Wavelets: algorithms & applications. Society for Industrial and Applied Mathematics, Philadelphia (1993)
Filipussi, D., Muszkats, J., Sassano, M., Zitto, M., Piotrkowski, R.: Fractura de roca andesita y análisis espectral de señales de emisión acústica. Tecnura. 23(61), 45–56 (2019)
Muszkats, J.P., Filipussi, D., Zitto, M.E., Sassano, M., Piotrkowski, R.: Detection of fracture regimes in andesite rock via the energy evolution of acoustic emission signals in relevant frequency bands. In: Ceballos, L., Gariboldi, C., Roccia, B. (eds.) VII Congreso de Matemática Aplicada, Computacional e Industrial, pp. 489–492. ASAMACI, Río Cuarto, Córdoba (2019)
Rao, M.V.M.S., Prasanna Lakshmi, K.J.: Analysis of b-value and improved b-value of acoustic emissions accompanying rock fracture. Curr. Sci. (2005). https://doi.org/10.2307/24110936
Mahmoudi, A., Mohammadi, B.: On the evaluation of damage-entropy model in cross-ply laminated composites. Eng. Fract. Mech. (2019). https://doi.org/10.1016/J.ENGFRACMECH.2019.106626
Truffet, L.: Shannon entropy reinterpreted. Rep. Math. Phys. (2017). https://doi.org/10.1016/S0034-4877(18)30050-8
Dobovišek, A., Markovič, R., Brumen, M., Fajmut, A.: The maximum entropy production and maximum Shannon information entropy in enzyme kinetics. Phys. A Stat. Mech. Appl. (2018). https://doi.org/10.1016/J.PHYSA.2017.12.111
Chai, M., Zhang, Z. Duan, Q.: A new qualitative acoustic emission parameter based on Shannon’s entropy for damage monitoring. Mech. Syst. Signal Process. (2018). https://doi.org/10.1016/J.YMSSP.2017.08.007
Bressan, G., Barnaba, C., Gentili, S., Rossi, G.: Information entropy of earthquake populations in northeastern Italy and western Slovenia. Phys. Earth Planet. Inter. (2000). https://doi.org/10.1016/J.PEPI.2017.08.001
Filipussi, D.A., Guzmán, C.A., Xargay, H.D., Hucailuk, C., Torres, D.N.: Study of acoustic emission in a compression test of andesite rock. Procedia Mater. Sci. (2015). https://doi.org/10.1016/J.MSPRO.2015.04.037
Boggess, A., Narcowich, F.J.: A First Course in Wavelets with Fourier Analysis, 2nd edn. Wiley, Hoboken (2009)
Torrence C., Compo G.P.: A practical guide to wavelet analysis. Bull. Am. Meteorol. Soc. (1998). https://doi.org/10.1175/1520-0477(1998)079<0061:APGTWA>2.0.CO;2
López Pumarega, M.I., Armeite, M., Ruzzante, J.E., Piotrkowski, R.: Relation between amplitude and duration of acoustic emission signals. Rev. Quant. Nondestruct. Eval. 22, 1431–1438 (2003)
Acknowledgements
The present work received financial support and is part of the Program UBACyT 20020160100038BA.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2021 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this paper
Cite this paper
Muszkats, J.P., Zitto, M.E., Sassano, M., Piotrkowski, R. (2021). Application of Wavelet Transform to Damage Detection in Brittle Materials via Energy and Entropy Evaluation of Acoustic Emission Signals. In: Muszkats, J.P., Seminara, S.A., Troparevsky, M.I. (eds) Applications of Wavelet Multiresolution Analysis. SEMA SIMAI Springer Series(), vol 4. Springer, Cham. https://doi.org/10.1007/978-3-030-61713-4_5
Download citation
DOI: https://doi.org/10.1007/978-3-030-61713-4_5
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-61712-7
Online ISBN: 978-3-030-61713-4
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)