Influence of a delamination on Lamb wave excitation by a nearby piezoelectric transducer

Abstract

This article presents the results of theoretical and experimental investigations of characteristic changes of Lamb wave excitation and scattering by a strip-like horizontal delamination in a layered elastic waveguide for Lamb waves induced by a piezoelectric wafer active sensor. The boundary integral equation method is used to describe wave propagation in an infinite layered waveguide with a delamination, while the frequency domain spectral element method is employed to model the dynamic behaviour of the piezoelectric wafer active sensor, which allows to simulate debonding between the piezoelectric wafer active sensor and the waveguide. Experimental investigations of the dynamic interaction of the piezoelectric wafer active sensor with a layered plate containing a horizontal delamination is conducted for several damage scenarios, showing a good agreement with the results obtained using the developed mathematical model. The obtained mathematical model is employed to analyse alteration of the piezo-induced Lamb waves including modes’ decomposition due to delamination. The conversion and/or conservation of the Lamb waves on account of a delamination is investigated. The electro-mechanical impedance of the piezoelectric transducer and the stress intensity factors of a delamination are analysed in dependence on the delamination location.

Keywords

Piezoelectric actuators delamination Lamb waves hybrid approach mode conversion eigenfrequencies crack opening displacement stress intensity factor

Get full access to this article

View all access options for this article.

References

Boström

(2003) Review of hypersingular integral equation method for crack scattering and application to modeling of ultrasonic nondestructive evaluation. Applied Mechanics Reviews 56: 383–405.

Elwalwal

Mahzan

Abdalla

(2017) Crack inspection using guided waves (GWS)/structural health monitoring (SHM): review. Journal of Applied Sciences 17: 415–428.

Eremin

Golub

Glushkov

, et al. (2019) Identification of delamination based on the Lamb wave scattering resonance frequencies. NDT & E International 103: 145–153.

Farrar

Worden

(2013) Structural Health Monitoring A Machine Learning Perspective. Hoboken, NJ: John Wiley & Sons.

Giurgiutiu

(2007) Structural Health Monitoring with Piezoelectric Wafer Active Sensors. London: Elsevier Academic Press.

Glushkov

Glushkova

Eremin

(2011) Forced wave propagation and energy distribution in anisotropic laminate composites. Journal of the Acoustical Society of America 129(5): 2923–2934.

Glushkov

Glushkova

(2001) On the efficient implementation of the integral equation method in elastodynamics. Journal of Computational Acoustics 9(3): 889–898.

Glushkov

Glushkova

Golub

, et al. (2009) Resonance blocking of travelling waves by a system of cracks in an elastic layer. Acoustical Physics 55: 8–16.

Glushkov

Glushkova

(1996) Diffraction of elastic waves by three-dimensional cracks of arbitrary shape in a plane. Journal of Applied Mathematics and Mechanics 60: 277–283.

10.

Golub

Doroshenko

(2019) Boundary integral equation method for simulation scattering of elastic waves obliquely incident to a doubly periodic array of interface delaminations. Journal of Computational Physics 376: 675–693.

11.

Golub

Shpak

(2019) Semi-analytical hybrid approach for the simulation of layered waveguide with a partially debonded piezoelectric structure. Applied Mathematical Modelling 65: 234–255.

12.

Golub

Eremin

Shpak

, et al. (2019) Lamb wave scattering, conversion and resonances in an elastic layered waveguide with a surface-bonded rectangular block. Applied Acoustics 155: 442–452.

13.

Golub

Zhang

Wang

(2011) SH-wave propagation and resonance phenomena in a periodically layered composite structure with a crack. Journal of Sound and Vibration 330(13): 3141–3154.

14.

, et al. (2008) Quantitative assessment of through-thickness crack size based on Lamb wave scattering in aluminium plates. NDT & E International 41(1): 59–68.

15.

Maio

Ricci

Memmolo

, et al. (2018) Application of laser doppler vibrometry for ultrasonic velocity assessment in a composite panel with defect. Composite Structures 184: 1030–1039.

16.

Mitra

Gopalakrishnan

(2016) Guided wave based structural health monitoring: a review. Smart Materials and Structures 25(5): 053001.

17.

Mueller

(2017) Inspection of Piezoelectric Transducers Used for Structural Health Monitoring Systems. PhD Thesis, University of Siegen, Siegen.

18.

Mueller

Fritzen

(2017) Inspection of piezoceramic transducers used for structural health monitoring. Materials 10(1): 71.

19.

Okabe

Fujibayashi

Shimazaki

, et al. (2010) Delamination detection in composite laminates using dispersion change based on mode conversion of Lamb waves. Smart Materials and Structures 19: 115013.

20.

Ostiguy

Quaegebeur

Masson

(2017) Comparison of model-based damage imaging techniques for transversely isotropic composites. Structural Health Monitoring 16(4): 428–443.

21.

Park

Yun

Inman

(2008) Structural health monitoring using electro-mechanical impedance sensors. Fatigue & Fracture of Engineering Materials & Structures 31: 714–724.

22.

Priolo

Carlione

Seriani

(1994) Numerical simulation of interface waves by high-order spectral modeling techniques. The Journal of the Acoustical Society of America 95(2): 681–693.

23.

Salawu

(1997) Detection of structural damage through changes in frequency: a review. Engineering Structures 19(9): 718–723.

24.

Shen

Cesnik

(2019) Nonlinear scattering and mode conversion of Lamb waves at breathing cracks: an efficient numerical approach. Ultrasonics 94: 202–217.

25.

Shi

Liu

Zhou

, et al. (2016) Spectral element method for band-structure calculations of 3D phononic crystals. Journal of Physics D: Applied Physics 49(45): 455102.

26.

Tian

Leckey

(2015) Delamination detection and quantification on laminated composite structures with Lamb waves and wavenumber analysis. Journal of Intelligent Material Systems and Structures 26(13): 1723–1738.

27.

Tua

Quek

Wang

(2005) Detection of cracks in cylindrical pipes and plates using piezo-actuated lamb waves. Smart Materials and Structures 14(6): 1325–1342.

28.

Vivar-Perez

Duczek

Gabbert

(2014) Analytical and higher order finite element hybrid approach for an efficient simulation of ultrasonic guided waves I: 2D-analysis. Smart Structures and Systems 13(4): 587–614.

29.

Voyiadjis

(1993) Damage in Composite Materials. Amsterdam and New York: Elsevier.

30.

Yelve

Mitra

Mujumdar

(2017) Detection of delamination in composite laminates using lamb wave based nonlinear method. Composite Structures 159: 257–266.

31.

Zagrai

Doyle

Gigineishvili

, et al. (2010) Piezoelectric wafer active sensor structural health monitoring of space structures. Journal of Intelligent Material Systems and Structures 21: 921–940.