Application of Ultrasonic Coda Wave Interferometry for Micro-cracks Monitoring in Woven Fabric Composites

  • Pascal PomarèdeEmail author
  • Lynda Chehami
  • Nico F. Declercq
  • Fodil Meraghni
  • Junliang Dong
  • Alexandre Locquet
  • D. S. Citrin


The consequences of a four-point bending test, up to 12 mm, are examined by emitting 1 MHz ultrasonic guided waves in woven carbon fiber reinforced polymer specimens, using coda wave interferometry (CWI), revealing a potential use for nondestructive evaluation. It is known that CWI is more sensitive to realistic damage than the conventional method based on the first arriving time of flight in geophysical, or in civil engineering applications such as concrete structures. However, in composite materials CWI is not well established because of the involved structural complexity. In this paper, CWI is investigated for monitoring the occurrence of realistic defects such as micro-cracks in a woven carbon fiber composite plate. The micro-cracks are generated by a four-point bending test. The damage state is stepwise enhanced by gradually increasing the load level, until failure initiation. The damage is monitored, after each loading, using ultrasound. It is demonstrated that CWI is a powerful tool to detect damage, even low levels, in the sample. Two damage indicators based on CWI, i.e. signals correlation coefficient and relative velocity change, are investigated and appear to be complimentary. Under significant loading levels, the normalized cross-correlation coefficient between the waveforms recorded in the damaged and in the healthy sample (reference at 0 mm), decreases sharply; this first indicator is therefore useful for severe damage detection. It is also demonstrated, by means of a second indicator, that the relative velocity change between a baseline signal taken at zero loading, and the signals taken at various loadings, is linear as a function of the loading, until a critical level is reached; therefore this second indicator, is useful for low damage level detection. The obtained evolution of the relative velocity measurement is supported by relative comparison to the evolution of the bending modulus in function of displacement. The relative velocity change exhibits the same evolution as the bending modulus with loading. It could be used to indicate when the material stiffness has decreased significantly. The research is done in the framework of composite manufacturing quality control and appears to be a promising inspection technique.


Coda wave Non-destructive evaluation Composite materials Ultrasonic waves 



The authors acknowledge Vincent Tournat for his scientific discussions. This work is supported by the Région Grand Est.


  1. 1.
    Malpot, A., Touchard, F., Bergamo, S.: Effect of relative humidity on mechanical properties of a woven thermoplastic composite for automotive application. Polym. Test. 48, 160–168 (2015)CrossRefGoogle Scholar
  2. 2.
    Pomarède, P., Meraghni, F., Peltier, L., Delalande, S., Declercq, N.F.: Damage evaluation in woven glass reinforced polyamide 6.6/6 composites using ultrasound phase-shift analysis and X-ray tomography. J. Nondestruct. Eval. (2018).
  3. 3.
    Eckel, S., Meraghni, F., Pomarède, P., Declercq, N.F.: Investigation of damage in composites using nondestructive nonlinear acoustic spectroscopy. Exp. Mech. 57(2), 207–217 (2016)CrossRefGoogle Scholar
  4. 4.
    Yaacoubi, S., Chehami, L., Aouini, M., Declercq, N.F.: Ultrasonic guided waves for reinforced plastics safety. Reinf. Plast. 61, 87–91 (2017)CrossRefGoogle Scholar
  5. 5.
    Cole, W.F., Armstrong, K.B., Bevan, L.G.: Care and Repair of Advanced Composites. SAE International, Warrendale (2005)Google Scholar
  6. 6.
    Dong, J., Kim, B., Locquet, A., McKeon, P., Declercq, N., Citrin, D.S.: Nondestructive evaluation of forced delamination in glass fiber-reinforced composites by terahertz and ultrasonic waves. Composites B 79, 667–675 (2015)CrossRefGoogle Scholar
  7. 7.
    Gholizadeh, S.: A review of non-destructive testing methods of composite materials. Procedia Struct. Integr. 1, 50–57 (2016)CrossRefGoogle Scholar
  8. 8.
    Marguères, P., Meraghni, F., Benzeggagh, M.L.: Comparison of stiffness measurements and damage investigation techniques for a fatigued and post-impact fatigued GFRP composite obtained by RTM process. Composites A 31(2), 151–163 (2000)CrossRefGoogle Scholar
  9. 9.
    Marguères, P., Meraghni, F.: Damage induced anisotropy and stiffness reduction evaluation in composite materials using ultrasonic wave transmission. Composites A 45, 134–144 (2013)CrossRefGoogle Scholar
  10. 10.
    Snieder, R.: The theory of coda wave interferometry. Pure Appl. Geophys. 163(2–3), 455–473 (2006)CrossRefGoogle Scholar
  11. 11.
    Benward, B., Saker, M.: Music in Theory and Practice, vol. II. McGraw-Hill Education, New York (2009)Google Scholar
  12. 12.
    Poupinet, G., Ellsworth, W.L., Frechet, J.: Monitoring velocity variations in the crust using earthquake doublets: an application to the Calveras Fault, California. J. Geophys. Res. 89(B7), 5719–5731 (1984)CrossRefGoogle Scholar
  13. 13.
    Frjd, P., Ulriksen, P.: Amplitude and phase measurements of continuous diffuse fields for structural health monitoring of concrete structures. NDT & E Int. 77, 35–41 (2016)CrossRefGoogle Scholar
  14. 14.
    Becker, J., Jacobs, L.J., Qu, J.: Characterization of cement-based materials using diffuse ultrasound. J. Eng. Mech. 129(12), 1478–1484 (2003)CrossRefGoogle Scholar
  15. 15.
    Aki, K., Chouet, B.: Origin of coda waves: source, attenuation, and scattering effects. J. Geophys. Res. 80(23), 3322–3342 (1975)CrossRefGoogle Scholar
  16. 16.
    Sthler, S.C., Sens-Schnfelder, C., Niederleithinger, E.: Monitoring stress changes in a concrete bridge with coda wave interferometry. J. Acoustical Soc. Am. 129(4), 1945–1952 (2011)CrossRefGoogle Scholar
  17. 17.
    Zhu, Q., Binetruy, C., Burtin, C.: Internal stress determination in a polymer composite by coda wave interferometry. IOP Conf. Ser. Mater. Sci. Eng. 137, 012040 (2016)CrossRefGoogle Scholar
  18. 18.
    Zhang, Y., Abraham, O., Tournat, V., Le Duff, A., Lascoup, B., Loukili, A., Grondin, F., Durand, O.: Validation of a thermal bias control technique for coda wave interferometry (CWI). Ultrasonics 53(3), 658–664 (2012)CrossRefGoogle Scholar
  19. 19.
    Livings, R., Dayal, V., Barnard, D.: Coda wave interferometry for the measurement of thermally induced ultrasonic velocity variations in CFRP laminates. AIP Conf. Proc. (2016).
  20. 20.
    Salkind, M.: Fatigue of composites. In: Composites Materials: Testing and Design (Second Conference), pp. 143–169. ASTM International (1972)Google Scholar
  21. 21.
    Jin, L., Niu, Z., Jin, B.C., Sun, B., Gu, B.: Comparisons of static bending and fatigue damage between 3D angle-interlock and 3D orthogonal woven composites. J. Reinf. Plast. Compos. 31(14), 935–945 (2012)CrossRefGoogle Scholar
  22. 22.
    Karayaka, M., Kurath, P.: Deformation and failure behavior of woven composite laminates. J. Eng. Mater. Technol. 116(2), 222 (1994)CrossRefGoogle Scholar
  23. 23.
    Michaels, J.E., Michaels, T.E.: Detection of structural damage from the local temporal coherence of diffuse ultrasonic signals. IEEE Trans. Ultrason. Ferroelectr. Freq. Control 52(10), 1769–1782 (2005)CrossRefGoogle Scholar
  24. 24.
    Lobkis, O., Weaver, R.: Coda-wave interferometry in finite solids: recovery of p-to-s conversion rates in an elastodynamic billiard. Phys. Rev. Lett. 90(25), 254302-1(4) (2003)CrossRefGoogle Scholar
  25. 25.
    Larose, E., Hall, S.: Monitoring stress related velocity variation in concrete with a \(2\times 10^{-5}\) relative resolution using diffuse ultrasound. J. Acoust. Soc. Am. 125(4), 1853–1856 (2009)CrossRefGoogle Scholar
  26. 26.
    Zhang, Y.: Controle de santé des matériaux et des structures par analyse de la coda ultrasonore. PhD Thesis, Université de Maine (2013)Google Scholar

Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  • Pascal Pomarède
    • 1
    • 2
    Email author
  • Lynda Chehami
    • 2
    • 3
  • Nico F. Declercq
    • 2
    • 3
  • Fodil Meraghni
    • 1
    • 2
  • Junliang Dong
    • 2
    • 4
  • Alexandre Locquet
    • 2
    • 4
  • D. S. Citrin
    • 2
    • 4
  1. 1.Arts et Métiers ParisTech, LEM3 UMR CNRS 7239MetzFrance
  2. 2.Georgia Tech-CNRS UMI 2958, Georgia Tech LorraineMetzFrance
  3. 3.G.W. Woodruff School of Mechanical EngineeringGeorgia Institute of TechnologyAtlantaUSA
  4. 4.School of Electrical and Computer EngineeringGeorgia Institute of TechnologyAtlantaUSA

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