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Chin. Phys. B, 2020, Vol. 29(5): 054301    DOI: 10.1088/1674-1056/ab81f7

Location of micro-cracks in plates using time reversed nonlinear Lamb waves

Yaoxin Liu(刘尧鑫)1, Aijun He(何爱军)3, Jiehui Liu(刘杰惠)1, Yiwei Mao(毛一葳)1, Xiaozhou Liu(刘晓宙)1,2
1 Key Laboratory of Modern Acoustics, Institute of Acoustics and School of Physics, Nanjing University, Nanjing 210093, China;
2 Key Laboratory of Acoustics, Institute of Acoustics, Chinese Academy of Sciences, Beijing 100190, China;
3 School of Electronic Science and Engineering, Nanjing University, Nanjing 210023, China
Abstract  A promising tool to detect micro-cracks in plate-like structures is used for generating higher harmonic Lamb waves. In this paper, a method combining nonlinear S0 mode Lamb waves with time reversal to locate micro-cracks is presented and verified by numerical simulations. Two different models, the contact acoustic nonlinearity (CAN) model and the Preisach-Mayergoyz (PM) model, are used to simulate a localized damage in a thin plate. Pulse inversion method is employed to extract the second and fourth harmonics from the received signal. Time reversal is performed to compensate the dispersion of S0 mode Lamb waves. Consequently, the higher harmonics generated from the damaged area can be refocused on their source. By investigating the spatial distribution of harmonic wave packets, the location of micro-cracks will be revealed. The numerical simulations indicate that this method gives accurate locations of the damaged area in a plate. Furthermore, the PM model is proved to be a suitable model to simulate the micro-cracks in plates for generation of higher harmonics.
Keywords:  Lamb waves      higher harmonics      time reversal      damage location  
Received:  05 December 2019      Revised:  12 February 2020      Accepted manuscript online: 
PACS:  43.25.Dc (Nonlinear acoustics of solids)  
  43.40.Le (Techniques for nondestructive evaluation and monitoring, acoustic emission)  
  43.60.Tj (Wave front reconstruction, acoustic time-reversal, and phase conjugation)  
Fund: Project supported by the National Key Research and Development Program of China (Grant No. 2016YFF0203000), the State Key Program of the National Natural Science Foundation of China (Grant No. 11834008), the National Natural Science Foundation of China (Grant No. 11774167), the Fund from the State Key Laboratory of Acoustics, Chinese Academy of Sciences (Grant No. SKLA201809), the Science Fund from the Key Laboratory of Underwater Acoustic Environment, Chinese Academy of Sciences (Grant No. SSHJ-KFKT-1701), and the Natural Science Fund for AQSIQ Technology Research and Development Program, China (Grant No. 2017QK125).
Corresponding Authors:  Xiaozhou Liu     E-mail:

Cite this article: 

Yaoxin Liu(刘尧鑫), Aijun He(何爱军), Jiehui Liu(刘杰惠), Yiwei Mao(毛一葳), Xiaozhou Liu(刘晓宙) Location of micro-cracks in plates using time reversed nonlinear Lamb waves 2020 Chin. Phys. B 29 054301

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