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Chin. Phys. B, 2019, Vol. 28(7): 074301    DOI: 10.1088/1674-1056/28/7/074301

Lamb waves topological imaging combining with Green's function retrieval theory to detect near filed defects in isotropic plates

Hui Zhang(张辉)1, Hai-Yan Zhang(张海燕)1, Meng-Yun Xu(徐梦云)1, Guo-Peng Fan(范国鹏)1, Wen-Fa Zhu(朱文发)1, Xiao-Dong Chai(柴晓冬)2
1 Shanghai Institute for Advanced Communication and Data Science, School of Communication and Information Engineering, Shanghai University, Shanghai 200444, China;
2 School of Urban Railway Transportation, Shanghai University of Engineering Science, Shanghai 201620, China

A method of combining Green's function retrieval theory and ultrasonic array imaging using Lamb waves is presented to solve near filed defects in thin aluminum plates. The defects are close to the ultrasonic phased array and satisfy the near field calculation formula. Near field acoustic information of defects is obscured by the nonlinear effects of initial wave signal in a directly acquired response using the full matrix capture mode. A reconstructed full matrix of inter-element responses is produced from cross-correlation of directly received ultrasonic signals between sensor pairs. This new matrix eliminates the nonlinear interference and restores the near-field defect information. The topological imaging method that was developed in recent ultrasonic inspection is used for displaying the scatterers. The experiments are conducted on both thin aluminum plates containing two and four defects, respectively. The results show that these defects are clearly identified when using a reconstructed full matrix. The spatial resolution is equal to about one wavelength of the selectively excited mode and the identifiable defect is about one fifth of the wavelength. However, in a conventional directly captured image, the images of defects overlap together and cannot be distinguished. The proposed method reduces the background noise and allows for effective topological imaging of near field defects.

Keywords:  Lamb waves      topological imaging      cross-correlation      Green's function  
Received:  07 March 2019      Revised:  22 April 2019      Accepted manuscript online: 
PACS:  43.20.+g (General linear acoustics)  
  43.35.+d (Ultrasonics, quantum acoustics, and physical effects of sound)  

Project supported by the National Natural Science Foundation of China (Grant Nos. 11674214 and 11874255).

Corresponding Authors:  Hai-Yan Zhang     E-mail:

Cite this article: 

Hui Zhang(张辉), Hai-Yan Zhang(张海燕), Meng-Yun Xu(徐梦云), Guo-Peng Fan(范国鹏), Wen-Fa Zhu(朱文发), Xiao-Dong Chai(柴晓冬) Lamb waves topological imaging combining with Green's function retrieval theory to detect near filed defects in isotropic plates 2019 Chin. Phys. B 28 074301

[31] Sun F, Zeng Z M, Jin S J and Chen S L 2013 J. Sys. Simu. 25 1108 (in Chinese)
[1] Wilcox P D and Zhang J 2018 IEEE Trans. Ultrason. Ferroelectr. Freq. Control 65 600
[32] Lee J R, Chia C C, Park C Y and Jeong H 2012 Opt. Laser Technol. 44 1507
[2] Hu H, Ye C, Wang X and Xu N 2018 J. Instru. 13 P07004
[3] Tseng C W, Chang Y F and Wang C Y 2018 J. Mater. Civ. Eng. 30 04017256
[4] Lin S B, Shams S, Choi H J and Azari H 2018 NDT E Int. 98 101
[5] Zhang H Y, Yang J, Fan G P, Zhu W F and Chai X D 2017 Acta Phys. Sin. 66 214301 (in Chinese)
[6] Mori N, Biwa S and Kusaka T 2019 Ultrasonics 91 19
[7] Lubeigt E, Mensah S, Rakotonarivo S and Chaix J F 2017 Ultrasonics 76 145
[8] Bonnet M and Guzina B B 2004 Int. J. Numer. Meth. Eng. 61 2344
[9] Guzina B and Bonnet M 2004 Quart. J. Mech. Appl. Mat. 57 161
[10] Gallego R and Rus G 2004 Comp. Mech. 33 154
[11] Dominguez N, Gibiat V and Esquerre Y 2005 Wave Motion 42 31
[12] Yuan H, Bracq G and Liu Q 2016 Inv. Prob. Sci. Eng. 24 92
[13] Dominguez N and Gibiat V 2010 Ultrasonics 50 367
[14] Rodriguez S, Sahuguet P and Gibiat V 2012 Ultrasonics 52 1010
[15] Rodriguez S, Deschamps M, Castaings M and Ducasse E 2014 Ultrasonics 54 1880
[16] Rodriguez S, Castaing M, Deschamps M and Ducasses E 2014 7th European Workshop on Structural Health Monitoring, July 8-11, 2014 Nantes, France
[17] Fan C G, Pan M C, Luo F L and Drinkwater B W 2014 IEEE Trans. Ultrason. Ferroelectr. Freq. Control 61 2067
[18] Potter J N, Wilcox P D and Croxford A J 2018 Ultrasonics 82 44
[19] Michel C 2006 Pure Appl. Geophys. 163 475
[20] Nikolai M S, Michel C, Laurent S and Michael H R 2005 Science 307 1615
[21] Roel S 2004 Phys. Rev. E 69 046610
[22] Yang Y, Xiao L, Qu W Z and Lu Y 2017 Ultrasonics 81 187
[23] Duroux A, Sabra K G, Ayers J and Ruzzene M 2010 J. Acoust. Soc. Am. 127 3311
[24] Chehami L, De Rosny J, Prada C, Moulin E and Assaad J 2015 IEEE Trans. Ultrason. Ferroelectr. Freq. Control 62 1544
[25] Sabra K G and Huston S 2011 J. Acoust. Soc. Am. 129 2991
[26] Snieder R 2006 Phys. Rev. E 74 046620
[27] Velichko A and Croxford A J 2018 Proc. R. Soc. A 474 20180451
[28] Holmes C, Drinkwater B W and Wilcox P D 2005 NDT E Int. 38 701
[29] Ross M L and Jennifer E M 2013 J. Acoust. Soc. Am. 133 1525
[30] Hosoya N, Yoshinaga A, Kanda A and Kajiwara I 2018 Int. J. Mech. Sci. 140 486
[31] Sun F, Zeng Z M, Jin S J and Chen S L 2013 J. Sys. Simu. 25 1108 (in Chinese)
[32] Lee J R, Chia C C, Park C Y and Jeong H 2012 Opt. Laser Technol. 44 1507
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