ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS |
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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 |
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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.
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Received: 05 December 2019
Revised: 12 February 2020
Accepted manuscript online:
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PACS:
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43.25.Dc
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(Nonlinear acoustics of solids)
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43.40.Le
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(Techniques for nondestructive evaluation and monitoring, acoustic emission)
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43.60.Tj
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(Wave front reconstruction, acoustic time-reversal, and phase conjugation)
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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: xzliu@nju.edu.cn
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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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[1] |
Pruell C, Kim J Y, Qu J and Jacobs L J 2009 Smart Mater. Struct. 18 35003
|
[2] |
Li W, Cho Y and Achenbach J D 2012 Smart Mater. Struct. 21 85019
|
[3] |
Rauter N and Lammering R 2015 Mech. Adv. Mater. Struct. 22 44
|
[4] |
Li W, Xu Y, Hu N and Deng M 2020 Meas. Sci. Technol. 31 14001
|
[5] |
Deng M 1996 Acta Acust. 21 429 (in Chinese)
|
[6] |
Deng M 1997 Acta Acust. 22 182 (in Chinese)
|
[7] |
Deng M 2003 J. Appl. Phys. 94 4152
|
[8] |
De Lima W J N and Hamilton M F 2003 J. Sound Vib. 265 819
|
[9] |
Müller M F, Kim J Y, Qu J and Jacobs L J 2010 J. Acoust. Soc. Am. 127 2141
|
[10] |
Wan X, Zhang Q, Xu G and Tse P W 2014 Sensors 14 8528
|
[11] |
Shen Y and Giurgiutiu V 2014 J. Intell. Mater. Syst. Struct. 25 506
|
[12] |
Kim J Y, Jacobs L J, Qu J and Littles J W 2006 J. Acoust. Soc. Am. 120 1266
|
[13] |
Pruell C, Kim J Y, Qu J and Jacobs L J 2007 Appl. Phys. Lett. 91 231911
|
[14] |
Liu Y, Li Z and Zhang W 2010 Nondestruct. Test. Eval. 25 25
|
[15] |
Wan X, Peter W T, Chen J, Xu G and Zhang Q 2018 Ultrasonics 82 57
|
[16] |
Zhu W, Xiang Y, Liu C J, Deng M and Xuan F Z 2018 J. Appl. Phys. 123 104902
|
[17] |
Rauter N and Lammering R 2015 Smart Mater. Struct. 24 45027
|
[18] |
Li W B, Deng M X and Xiang Y X 2017 Chin. Phys. B 26 114302
|
[19] |
Park H W, Kim S B and Sohn H 2009 Wave Motion 46 451
|
[20] |
Yelve N P, Mitra M and Mujumdar P M 2017 Compos. Struct. 159 257
|
[21] |
Van Den Abeele K, Carmeliet J, Ten Cate J A and Johnson P A 2000 J. Res. Nondestruct. Eval. 12 31
|
[22] |
Goursolle T, CalléS, Dos Santos S and Bou Matar O 2007 J. Acoust. Soc. Am. 122 3220
|
[23] |
Vanaverbeke S and Van Den Abeele K 2007 J. Acoust. Soc. Am. 122 58
|
[24] |
Mayergoyz I D 1985 J. Appl. Phys. 57 3803
|
[25] |
Zhu J, Zhang Y and Liu X 2014 Wave Motion 51 146
|
[26] |
Liu Y, Kim J Y, Jacobs L J, Qu J and Li Z 2012 J. Appl. Phys. 111 53511
|
[27] |
Nienwenhui J H, Neumann J J, Greve D W and Oppenheim I J 2005 IEEE Trans. Ultrason. Ferroelectr. Freq. Control 52 2103
|
[28] |
Wilkening W, Krueger M and Ermert H 2000 2000 IEEE Proc. Ultrasonics Symposium, an International Symposium (Cat. No. 00CH37121), October 22-25, 2000, San Juan, Puerto Rico, Vol. 2 p. 1559
|
[29] |
Zhang L, Zhang Y, Liu X and Gong X 2014 Chin. Phys. B 23 104301
|
[30] |
Giurgiutiu V 2005 J. Intell. Mater. Syst. Struct. 16 291
|
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