Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 31097
A FE-Based Scheme for Computing Wave Interaction with Nonlinear Damage and Generation of Harmonics in Layered Composite Structures

Authors: R. K. Apalowo, D. Chronopoulos


A Finite Element (FE) based scheme is presented for quantifying guided wave interaction with Localised Nonlinear Structural Damage (LNSD) within structures of arbitrary layering and geometric complexity. The through-thickness mode-shape of the structure is obtained through a wave and finite element method. This is applied in a time domain FE simulation in order to generate time harmonic excitation for a specific wave mode. Interaction of the wave with LNSD within the system is computed through an element activation and deactivation iteration. The scheme is validated against experimental measurements and a WFE-FE methodology for calculating wave interaction with damage. Case studies for guided wave interaction with crack and delamination are presented to verify the robustness of the proposed method in classifying and identifying damage.

Keywords: layered structures, Wave Finite Element, nonlinear ultrasound, finite element, wave interaction with nonlinear damage

Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 116


[1] R. Soleimanpour and C.-T. Ng, “Locating delaminations in laminated composite beams using nonlinear guided waves,” Engineering Structures, vol. 131, pp. 207–219, 2017.
[2] Y. Shen and V. Giurgiutiu, “Predictive modelling of nonlinear wave propagation for structural health monitoring with piezoelectric wafer active sensors,” Journal of Intelligent Material Systems and Structures, vol. 25, pp. 506–520, 2014.
[3] X. Wan, Q. Zhang, G. Xu, and P. W. Tse, “Numerical simulation of nonlinear lamb waves used in a thin plate for detecting buried micro-cracks,” Sensors, vol. 14, no. 5, pp. 8528–8546, 2014.
[4] B. R. Mace, D. Duhamel, M. J. Brennan, and L. Hinke, “Finite element prediction of wave motion in structural waveguides,” The Journal of the Acoustical Society of America, vol. 117, no. 5, pp. 2835–2843, 2005.
[5] J. M. Mencik and M. N. Ichchou, “Multi-mode propagation and diffusion in structures through finite elements,” European Journal of Mechanics-A/Solids, vol. 24, no. 5, pp. 877–898, 2005.
[6] V. Thierry, L. Brown, and D. Chronopoulos, “Multi-scale wave propagation modelling for two-dimensional periodic textile composites,” Composites Part B: Engineering, vol. 150, pp. 144–156, 2018.
[7] T. Ampatzidis, R. K. Leach, C. Tuck, and D. Chronopoulos, “Band gap behaviour of optimal one-dimensional composite structures with an additive manufactured stiffener,” Composites Part B: Engineering, vol. 153, pp. 26–35, 2018.
[8] D. Chronopoulos, “Design optimization of composite structures operating in acoustic environments,” Journal of Sound and Vibration, vol. 355, pp. 322–344, 2015.
[9] S. Cantero-Chinchilla, J. Chiach´ıo, M. Chiach´ıo, D. Chronopoulos, and A. Jones, “A robust bayesian methodology for damage localization in plate-like structures using ultrasonic guided-waves,” Mechanical Systems and Signal Processing, vol. 122, pp. 192–205, 2019.
[10] R. Apalowo and D. Chronopoulos, “A wave-based numerical scheme for damage detection and identification in two-dimensional composite structures,” Composite Structures, vol. 214, pp. 164–182, 2019.
[11] D. Chronopoulos, “Wave steering effects in anisotropic composite structures: Direct calculation of the energy skew angle through a finite element scheme,” Ultrasonics, vol. 73, pp. 43–48, 2017.
[12] R. Apalowo, D. Chronopoulos, and G. Tanner, “Wave interaction with defects in pressurised composite structures,” Journal of Nondestructive Evaluation, vol. 37, no. 3, p. 48, 2018.
[13] R. Apalowo, D. Chronopoulos, M. Ichchou, Y. Essa, and F. Martin De La Escalera, “The impact of temperature on wave interaction with damage in composite structures,” Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, vol. 231, no. 16, pp. 3042–3056, 2017.
[14] R. K. Apalowo, D. Chronopoulos, and M. Malik, “The influence of temperature on wave scattering of damaged segments within composite structures,” in MATEC Web of Conferences, vol. 211. EDP Sciences, 2018, p. 19005.
[15] D. Chronopoulos, C. Droz, R. Apalowo, M. Ichchou, and W. Yan, “Accurate structural identification for layered composite structures, through a wave and finite element scheme,” Composite Structures, vol. 182, pp. 566–578, 2017.
[16] I. ANSYS, ANSYS 14.0 User’s Help, 2014.
[17] J. M. Renno and B. R. Mace, “Calculation of reflection and transmission coefficients of joints using a hybrid element/wave and finite element approach,” Journal of Sound and Vibration, vol. 332, pp. 2149–2164, 2013.
[18] J. Nienwenhui, J. Neumann, D. Greve, and I. Oppenheim, “Generation and detection of guided waves using pzt wafer transducers,” IEEE transactions on ultrasonics, ferroelectrics, and frequency control, vol. 52, no. 11, pp. 2103–2111, 2005.