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Chin. Phys. B, 2016, Vol. 25(12): 124304    DOI: 10.1088/1674-1056/25/12/124304
SPECIAL TOPIC—Acoustics Prev   Next  

Quantitative damage imaging using Lamb wave diffraction tomography

Hai-Yan Zhang(张海燕)1, Min Ruan(阮敏)1, Wen-Fa Zhu(朱文发)1,2, Xiao-Dong Chai(柴晓冬)2
1. 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

In this paper, we investigate the diffraction tomography for quantitative imaging damages of partly through-thickness holes with various shapes in isotropic plates by using converted and non-converted scattered Lamb waves generated numerically. Finite element simulations are carried out to provide the scattered wave data. The validity of the finite element model is confirmed by the comparison of scattering directivity pattern (SDP) of circle blind hole damage between the finite element simulations and the analytical results. The imaging method is based on a theoretical relation between the one-dimensional (1D) Fourier transform of the scattered projection and two-dimensional (2D) spatial Fourier transform of the scattering object. A quantitative image of the damage is obtained by carrying out the 2D inverse Fourier transform of the scattering object. The proposed approach employs a circle transducer network containing forward and backward projections, which lead to so-called transmission mode (TMDT) and reflection mode diffraction tomography (RMDT), respectively. The reconstructed results of the two projections for a non-converted S0 scattered mode are investigated to illuminate the influence of the scattering field data. The results show that Lamb wave diffraction tomography using the combination of TMDT and RMDT improves the imaging effect compared with by using only the TMDT or RMDT. The scattered data of the converted A0 mode are also used to assess the performance of the diffraction tomography method. It is found that the circle and elliptical shaped damages can still be reasonably identified from the reconstructed images while the reconstructed results of other complex shaped damages like crisscross rectangles and racecourse are relatively poor.

Keywords:  Lamb waves      diffraction tomography      damage identification      Fourier diffraction theorem  
Received:  05 July 2016      Revised:  07 August 2016      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. 11474195, 11274226, 11674214, and 51478258).

Corresponding Authors:  Hai-Yan Zhang, Wen-Fa Zhu     E-mail:;

Cite this article: 

Hai-Yan Zhang(张海燕), Min Ruan(阮敏), Wen-Fa Zhu(朱文发), Xiao-Dong Chai(柴晓冬) Quantitative damage imaging using Lamb wave diffraction tomography 2016 Chin. Phys. B 25 124304

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