A Boundary Element Model for Structural Health Monitoring Based on the S0 Lamb Wave Mode


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The aim of this paper was to carry out numerical simulations of structural health monitoring applications for plate structures using the boundary element method (BEM). The fundamental symmetric Lamb mode (S0) is chosen for the SHM applications. The propagation, reflection and diffraction of the S0 mode Lamb wave are modelled using a boundary element formulation based on the plane stress theory. Piezoelectric (PZT) actuators are mounted on plate surfaces to excite the S0 mode wave. A semi-analytical method is adopted to couple the PZT actuators and the host plate. Numerical results show that BEM is a very efficient simulation method for the structural health monitoring of plates.



Edited by:

Luis Rodríguez-Tembleque, Jaime Domínguez and Ferri M.H. Aliabadi




J. Li et al., "A Boundary Element Model for Structural Health Monitoring Based on the S0 Lamb Wave Mode", Key Engineering Materials, Vol. 774, pp. 625-631, 2018

Online since:

August 2018




* - Corresponding Author

[1] Willberg C, Duczek S, Vivar-Perez JM, Ahmad Z. Simulation methods for guided wave-based structural health monitoring: a review. Applied Mechanics Reviews. 2015;67:010803.

DOI: https://doi.org/10.1115/1.4029539

[2] Sharif-Khodaei Z, Ghajari M, Aliabadi M. Determination of impact location on composite stiffened panels. Smart Materials and Structures. 2012;21:105026.

DOI: https://doi.org/10.1088/0964-1726/21/10/105026

[3] Katsikeros CE, Labeas G. Development and validation of a strain-based structural health monitoring system. Mechanical Systems and Signal Processing. 2009;23:372-83.

DOI: https://doi.org/10.1016/j.ymssp.2008.03.006

[4] Zou F. A Boundary Element Method for Modelling Piezoelectric Transducer based Structural Health Monitoring: Imperial College London; (2015).

[5] Zou F, Benedetti I, Aliabadi M. A boundary element model for structural health monitoring using piezoelectric transducers. Smart Materials and Structures. 2013;23:015022.

DOI: https://doi.org/10.1088/0964-1726/23/1/015022

[6] Lu Y, Ye L, Su Z, Yang C. Quantitative assessment of through-thickness crack size based on Lamb wave scattering in aluminium plates. NDT & e International. 2008;41:59-68.

DOI: https://doi.org/10.1016/j.ndteint.2007.07.003

[7] Diligent O, Grahn T, Boström A, Cawley P, Lowe MJ. The low-frequency reflection and scattering of the S 0 Lamb mode from a circular through-thickness hole in a plate: Finite element, analytical and experimental studies. The Journal of the Acoustical Society of America. 2002;112:2589-601.

DOI: https://doi.org/10.1121/1.1512292

[8] Durbin F. Numerical inversion of Laplace transforms: an efficient improvement to Dubner and Abate's method. The Computer Journal. 1974;17:371-6.

DOI: https://doi.org/10.1093/comjnl/17.4.371

[9] Fedelinski P, Aliabadi M, Rooke D. The Laplace transform DBEM for mixed-mode dynamic crack analysis. Computers & structures. 1996;59:1021-31.

DOI: https://doi.org/10.1016/0045-7949(95)00347-9

[10] Portela A, Aliabadi M, Rooke D. The dual boundary element method: effective implementation for crack problems. International journal for numerical methods in engineering. 1992;33:1269-87.

DOI: https://doi.org/10.1002/nme.1620330611

[11] Banks HT, Smith RC, Wang Y. Smart material structures: modeling, estimation, and control: John Wiley & Son Ltd; (1996).

[12] Lu Y, Ye L, Su Z, Huang N. Quantitative evaluation of crack orientation in aluminium plates based on Lamb waves. Smart Materials and Structures. 2007;16:(1907).

DOI: https://doi.org/10.1088/0964-1726/16/5/047

[13] Li J, Khodaei ZS, Aliabadi M. Spectral BEM for the Analysis of Wave Propagation and Fracture Mechanics. Journal of Multiscale Modelling. 2017;8:1740007.

DOI: https://doi.org/10.1142/s1756973717400078