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Current Mechanics and Advanced Materials

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ISSN (Print): 2666-1845
ISSN (Online): 2666-1853

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Research Article

Elastic Guided Waves in Bistable Composite Structures - Experimental and Numerical Investigation

Author(s): D.M. Saad, S. Mustapha*, A. Firouzian-Nejad and A. Abdul Aziz

Volume 2, Issue 1, 2022

Published on: 06 September, 2021

Article ID: e281021196177 Pages: 20

DOI: 10.2174/2666184501666210906115257

Abstract

Background: Bistable composite laminates are emerging as smart structures in automotive and aerospace applications. However, the behavior of the wave propagation within such laminates has not been investigated, which hinders their implementation in Structural Health Monitoring (SHM) and Non-Destructive Evaluation (NDE).

Objective: As a result, this manuscript examines the propagation behavior of guided waves in bistable composite structures. By understanding the effect of pre-stressing in bistable composite laminates on the characteristics of propagating waves, such as velocity and amplitude, a more knowledgeable decision about their applications in flaw detection and assessment can be made.

Methods: The fundamental symmetric (S0) and anti-symmetric (A0) Lamb wave modes were investigated during propagation in two bistable composite laminates, [0/90]T and [02/902]T, and were assessed experimentally and numerically using ABAQUS. For the tested frequencies, which ranged from 60 kHz to 250 kHz, the behavior of the propagating wave was evaluated for both stable configurations and across two different actuators that were lined up with the fiber directions. Signal processing techniques were thus extensively used to enhance the measured signals and identify both the group velocities and the amplitudes’ trend of the S0 and A0 wave modes.

Results: Our results showed that there is a minimal variation (typically below 1%) in the amplitude and velocity of the A0 and S0 modes when the composite plates switch between the first stable configuration and the second stable configuration in both composite plates. These results were numerically validated by replicating the bi-stability of the composites. The numerical data were in relatively close agreement (10% average error) with the experimental values and trends. Furthermore, the bistable effect was examined in detail relative to a reference numerical flat (monostable) plate. Although the bistable effect induced a notable amount of internal residual stress, this did not significantly impact the propagating wave modes, with a maximum difference of about 2% when comparing wave velocities.

Conclusion: The effect on the wave propagation behavior along different directions of both stable configurations was shown to be minimal. These results, which were validated numerically, clear the ambiguity on the usage of these laminates in experimental health monitoring.

Keywords: Fundamental lamb wave modes, guided waves, finite element analysis, bistable composite laminates, prestressing.

[1]
M.W. Hyer, "Some observations on the cured shape of thin unsymmetric laminates", J. Compos. Mater., vol. 15, no. 2, pp. 175-194, 1981.
[http://dx.doi.org/10.1177/002199838101500207]
[2]
S. Daynes, C.G. Diaconu, K.D. Potter, and P.M. Weaver, "Bistable prestressed symmetric laminates", J. Compos. Mater., vol. 44, no. 9, pp. 1119-1137, 2010.
[http://dx.doi.org/10.1177/0021998309351603]
[3]
A. Firouzian-Nejad, S. Mustapha, S. Ziaei-Rad, and M. Ghayour, "Characterization of bi-stable pure and hybrid composite laminates - an experimental investigation of the static and dynamic responses", J. Compos. Mater., vol. 53, no. 5, pp. 653-667, 2018.
[http://dx.doi.org/10.1177/0021998318789241]
[4]
C. Graczykowski, A. Orłowska, and R. Sridaran Venkat, The concept of smart prestressed composites. Numerical modelling and experimental evaluation.SMART 2013. Rome, 2013.
[5]
F. Nicassio, G. Scarselli, F. Pinto, F. Ciampa, O. Iervolino, and M. Meo, "Low energy actuation technique of bistable composites for aircraft morphing", Aerosp. Sci. Technol., vol. 75, pp. 35-46, 2018.
[http://dx.doi.org/10.1016/j.ast.2017.12.040]
[6]
C.R. Bowen, H.A. Kim, and A.I.T. Salo, "Active composites based on bistable laminates", Procedia Eng., vol. 75, pp. 140-144, 2014.
[http://dx.doi.org/10.1016/j.proeng.2013.11.030]
[7]
S. Mustapha, L. Ye, X. Dong, and M.M. Alamdari, "Evaluation of barely visible indentation damage (BVID) in CF/EP sandwich composites using guided wave signals", Mech. Syst. Signal Process., vol. 76-77, pp. 497-517, 2016.
[http://dx.doi.org/10.1016/j.ymssp.2016.01.023]
[8]
S. Mustapha, and L. Ye, "Propagation behaviour of guided waves in tapered sandwich structures and debonding identification using time reversal", Wave Motion, vol. 57, pp. 154-170, 2015.
[http://dx.doi.org/10.1016/j.wavemoti.2015.03.010]
[9]
S. Mustapha, L. Ye, D. Wang, and Y. Lu, "Debonding detection in composite sandwich structures based on guided waves", AIAA J., vol. 50, no. 8, pp. 1697-1706, 2012.
[http://dx.doi.org/10.2514/1.J051274]
[10]
A. Bagheri, K. Li, and P. Rizzo, "Reference-free damage detection by means of wavelet transform and empirical mode decomposition applied to Lamb waves", J. Intell. Mater. Syst. Struct., vol. 24, no. 2, pp. 194-208, 2013.
[http://dx.doi.org/10.1177/1045389X12460433]
[11]
S. Mustapha, and L. Ye, "Leaky and non-leaky behaviours of guided waves in CF/EP sandwich structures", Wave Motion, vol. 51, no. 6, pp. 905-918, 2014.
[http://dx.doi.org/10.1016/j.wavemoti.2014.03.004]
[12]
L. Ge, X. Wang, and C. Jin, "Numerical modeling of PZT-induced Lamb wave-based crack detection in plate-like structures", Wave Motion, vol. 51, no. 6, pp. 867-885, 2014.
[http://dx.doi.org/10.1016/j.wavemoti.2014.03.002]
[13]
J.L. Rose, "A Baseline and Vision of Ultrasonic Guided Wave Inspection Potential", J. Press. Vessel Technol., vol. 124, no. 3, pp. 273-282, 2002.
[http://dx.doi.org/10.1115/1.1491272]
[14]
D.E. Chimenti, "Guided Waves in plates and their use in materials characterization", Appl. Mech. Rev., vol. 50, no. 5, pp. 247-284, 1997.
[http://dx.doi.org/10.1115/1.3101707]
[15]
Z. Su, L. Ye, and Y. Lu, "Guided lamb waves for identification of damage in composite structures: a review", J. Sound Vibrat., vol. 295, no. 3, pp. 753-780, 2006.
[http://dx.doi.org/10.1016/j.jsv.2006.01.020]
[16]
A.H. Nayfeh, Wave propagation in layered anisotropic media: With application to composites., vol. 39. Elsevier, 1995.
[17]
W.T. Thomson, "Transmission of elastic waves through a stratified solid medium", J. Appl. Phys., vol. 21, no. 2, pp. 89-93, 1950.
[http://dx.doi.org/10.1063/1.1699629]
[18]
L. Knopoff, "A matrix method for elastic wave problems", Bull. Seismol. Soc. Am., vol. 54, no. 1, pp. 431-438, 1964.
[19]
L. Wang, and S.I. Rokhlin, "Stable reformulation of transfer matrix method for wave propagation in layered anisotropic media", Ultrasonics, vol. 39, no. 6, pp. 413-424, 2001.
[20]
S. Chaki, and G. Bourse, "Stress level measurement in prestressed steel strands using acoustoelastic effect", Exp. Mech., vol. 49, no. 5, p. 673, 2008.
[http://dx.doi.org/10.1007/s11340-008-9174-9]
[21]
G-Y. Li, Q. He, R. Mangan, G. Xu, C. Mo, J. Luo, M. Destrade, and Y. Cao, "Guided waves in pre-stressed hyperelastic plates and tubes: application to the ultrasound elastography of thin-walled soft materials", J. Mech. Phys. Solids, vol. 102, pp. 67-79, 2017.
[http://dx.doi.org/10.1016/j.jmps.2017.02.008]
[22]
R.A. Toupin, and B. Bernstein, "Sound waves in deformed perfectly elastic materials. Acoustoelastic effect", J. Acoust. Soc. Am., vol. 33, no. 2, pp. 216-225, 1961.
[http://dx.doi.org/10.1121/1.1908623]
[23]
J. Liu, and J.X. Zhou, "Propagation of lamb waves in a pre-stressed plate", Appl. Mech. Mater., vol. 66-68, pp. 413-418, 2011.
[http://dx.doi.org/10.4028/www.scientific.net/AMM.66-68.413]
[24]
K. Peddeti, and S. Santhanam, "Dispersion curves for lamb wave propagation in prestressed plates using a semi-analytical finite element analysis", J. Acoust. Soc. Am., vol. 143, no. 2, pp. 829-840, 2018.
[http://dx.doi.org/10.1121/1.5023335] [PMID: 29495706]
[25]
M. Mohabuth, A. Kotousov, and C-T. Ng, "Large acoustoelastic effect for Lamb waves propagating in an incompressible elastic plate", J. Acoust. Soc. Am., vol. 145, no. 3, pp. 1221-1229, 2019.
[http://dx.doi.org/10.1121/1.5092604] [PMID: 31067922]
[26]
B. Dubuc, A. Ebrahimkhanlou, and S. Salamone, "The effect of applied stress on the phase and group velocity of guided waves in anisotropic plates", J. Acoust. Soc. Am., vol. 142, no. 6, p. 3553, 2017.
[http://dx.doi.org/10.1121/1.5016969] [PMID: 29289065]
[27]
D.S. Hughes, and J.L. Kelly, "Second-order elastic deformation of solids", Phys. Rev., vol. 92, no. 5, pp. 1145-1149, 1953.
[http://dx.doi.org/10.1103/PhysRev.92.1145]
[28]
R.F.S. Hearmon, "‘Third-order’ elastic coefficients", Acta Crystallogr., vol. 6, no. 4, pp. 331-340, 1953.
[http://dx.doi.org/10.1107/S0365110X53000909]
[29]
S. Takahashi, and R. Motegi, "Measurement of third-order elastic constants and applications to loaded structural materials", Springerplus, vol. 4, no. 1, p. 325, 2015.
[http://dx.doi.org/10.1186/s40064-015-1019-2] [PMID: 26180745]
[30]
W.P. Mason, and R.N. Thurston, Physical acoustics principles and methods., vol. 17. Academic Press: New York, 1984.
[31]
M. Ponschab, D.A. Kiefer, and S.J. Rupitsch, "Towards an inverse characterization of third order elastic constants using guided waves", 2019 IEEE International Ultrasonics Symposium (IUS), pp. pp. 1264-1268, 2019.
[http://dx.doi.org/10.1109/ULTSYM.2019.8926294]
[32]
B. Scholtes, 6 - assessment of residual stresses.Structural and residual stress analysis by nondestructive methods., Elsevier Science B.V.: Amsterdam, 1997, pp. 590-636.
[http://dx.doi.org/10.1016/B978-044482476-9/50020-7]
[33]
H. Mohrbacher, and K. Salama, "The temperature dependence of third-order elastic constants in metal-matrix composites". Review of progress in quantitative nondestructive evaluation: Volumes 12A and 12B., Springer US: Boston, MA, 1993, pp. 2091-2097.
[http://dx.doi.org/10.1007/978-1-4615-2848-7_268]
[34]
P. Rizzo, and F. Scalea, "Effect of frequency on the acoustoelastic response of steel bars", Exp. Tech., vol. 27, pp. 40-43, 2006.
[http://dx.doi.org/10.1111/j.1747-1567.2003.tb00136.x]
[35]
M. Mazzotti, A. Marzani, I. Bartoli, and E. Viola, "Guided waves dispersion analysis for prestressed viscoelastic waveguides by means of the SAFE method", Int. J. Solids Struct., vol. 49, no. 18, pp. 2359-2372, 2012.
[http://dx.doi.org/10.1016/j.ijsolstr.2012.04.041]
[36]
J.S. Thiyagarajan, "Non-destructive testing mechanism for pre-stressed steel wire using acoustic emission monitoring", Materials (Basel), vol. 13, no. 21, p. E5029, 2020.
[http://dx.doi.org/10.3390/ma13215029] [PMID: 33171838]
[37]
A. Firouzian-Nejad, C. Bowen, S. Mustapha, M. Ghayour, and S. Ziaei-Rad, "Bi-stable hybrid composite laminates containing metallic strips - an experimental and numerical investigation", Smart Mater. Struct., vol. 28, no. 5, p. 055030, 2019.
[http://dx.doi.org/10.1088/1361-665X/ab1183]
[38]
M.A. Fakih, S. Mustapha, J. Tarraf, G. Ayoub, and R. Hamade, "Detection and assessment of flaws in friction stir welded joints using ultrasonic guided waves: experimental and finite element analysis", Mech. Syst. Signal Process., vol. 101, pp. 516-534, 2018.
[http://dx.doi.org/10.1016/j.ymssp.2017.09.003]
[39]
V. Giurgiutiu, Chapter 12 - wave propagation SHM with PWAS transducers.Structural health monitoring with piezoelectric wafer active sensors, 2nd Academic Press: Oxford, 2014, pp. 639-706.
[http://dx.doi.org/10.1016/B978-0-12-418691-0.00012-5]
[40]
J.M. Giron-Sierra, Digital filters. Digital Signal Processing with Matlab Examples., vol. 1. Signals and Data, Filtering, Non-stationary Signals, Modulation. Springer Singapore: Singapore, 2017, pp. 239-310.
[http://dx.doi.org/10.1007/978-981-10-2534-1_5]
[41]
Z.Y. Wang, L. Jiang, M.H. Xu, and W.G. Zheng, "Application of wavelet transform in transient signal", Appl. Mech. Mater, pp. 556-562, 4711-4717, 2014.
[42]
K.A. Tiwari, R. Raisutis, and V. Samaitis, "Hybrid signal processing technique to improve the defect estimation in ultrasonic non-destructive testing of composite structures", Sensors (Basel), vol. 17, no. 12, p. 2858, 2017.
[http://dx.doi.org/10.3390/s17122858] [PMID: 29232845]
[43]
J.L. Rose, Ultrasonic guided waves in solid media., Cambridge University Press: West Nyack, 2014.
[http://dx.doi.org/10.1017/CBO9781107273610]
[44]
Z. Su, and L. Ye, Identification of damage using Lamb waves: from fundamentals to applications., vol. 48. Springer: Berlin, 2009.
[http://dx.doi.org/10.1007/978-1-84882-784-4]
[45]
A.D. Anto, S. Mia, and M.A. Hasib, "The influence of number and orientation of ply on tensile properties of hybrid composites", J. Phys. Mater., vol. 2, no. 2, p. 025002, 2019.
[http://dx.doi.org/10.1088/2515-7639/aaff7a]
[46]
A.M.M. Dorado, and D. G., "Composite material characterization using acoustic wave speed measurements", ASNT Annual Conference 2015, 2015.
[47]
S. Pant, J. Laliberte, M. Martinez, B. Rocha, and D. Ancrum, "Effects of composite lamina properties on fundamental Lamb wave mode dispersion characteristics", Compos. Struct., vol. 124, pp. 236-252, 2015.
[http://dx.doi.org/10.1016/j.compstruct.2015.01.017]

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