Structural Engineering and Mechanics

  • 제80권3호
  • /
  • Pages.243-251
  • /
  • 2021
  • /
  • 1225-4568(pISSN)
  • /
  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Surface crack detection in a thin plate using time reversal analysis of SH guided waves

  • Saitoh, Takahiro (Department of Civil and Environmental Engineering, Gunma University) ;
  • Ishiguro, Asumi (Environmental Engineering Science Course, Gunma University)
  • 투고 : 2020.08.01
  • 심사 : 2021.08.04
  • 발행 : 2021.11.10
⟨ 이전 논문 다음 논문 ⟩

초록

Ultrasonic nondestructive testing with guided waves is applied for the detection of defects in thin plates. The most important advantage of the application of guided waves is the efficient inspection of structures, such as thin plates and pipes. However, owing to the wave dispersion and wave mode excitability in plates, the wave propagation inside them becomes more complex. Thus, in this study, we developed defect detection for thin plate inspection using guided waves by using the time reversal method, which takes advantage of the reciprocity and reversibility characteristics of waves. However, it is difficult to determine the convergence point of time reversal waves, whose point corresponds to the location of the defect. In this study, the topological sensitivity is utilized as the indicator of defect detection for the time reversal method. In this paper, we first explain the problem to be solved for a scattering problem of 2-D SH guided waves. Next, the forward analysis method for demonstrating scattered wave fields is discussed. Afterwards, a brief description of the time reversal method and the topological sensitivity is introduced. Finally, the topological sensitivity obtained from the forward and time reversal analysis results is calculated to detect surface cracks in thin plates.

키워드

과제정보

This work was supported by JSPS KAKENHI (17H03294)", Joint Usage/Research Center for Interdisciplinary Large-scale Information Infrastructures", and High Performance Computing Infrastructure" in Japan (Project ID: jh190073-NAH, jh200052-NAH, and jh210033-NAH).

참고문헌

  1. Bonnet, M. (2006), "Topological sensitivity for 3D elastodynamic and acoustic inverse scattering in the time domain", Comput. Meth. Appl. Mech. Eng., 195(5), 5239-5254. https://doi.org/10.1016/j.cma.2005.10.026.
  2. Datta, S.K., Al-Nassar, Y. and Shah, A.H. (1991), "Lamb wave scattering by a surface breaking crack in a plate", Review of Progress in Quantitative Nondestructive Evaluation, La Jolla, CA, USA, July.
  3. Fink, M. (1992), "Time reversal of ultrasonic fields - Part I: Basic principles", IEEE T. Ultrason Ferr, 39(5), 555-566. https://doi.org/10.1109/58.156174.
  4. Gunawan, A. and Hirose, S. (2004), "Mode-exciting method for lamb wave-scattering analysis", J. Acoust. Soc. Am., 115(3), 996-1005. https://doi.org/10.1121/1.1639330.
  5. Hughes, T.J.R. (2012), The Finite Element Method: Linear Static and Dynamic Finite Element Analysis, Dover Publications, New York, NY, USA.
  6. Kimoto, K., Nakahata, K. and Saitoh, T. (2017), "An elastodynamic computational time-reversal method for shape reconstruction of traction-free scatterers", Wave Motion., 72, 23-40. https://doi.org/10.1016/j.wavemoti.2016.12.007.
  7. Koshiba, M., Karakida S. and Suzuki, M. (1984), "Finite-element analysis of lamb wave scattering in an elastic plate waveguide, IEEE Tran. Sonics Ultrason, 31(1), 18-24. https://doi.org/10.1109/T-SU.1984.31456.
  8. Maruyama, T., Saitoh, T. and Hirose, S. (2017), "Numerical study on sub-harmonic generation due to interior and surface breaking cracks with contact boundary conditions using time-domain boundary element method", Int. J. Solid. Struct., 126-127, 74-89. https://doi.org/10.1016/j.ijsolstr.2017.07.029.
  9. Morikawa, H., Saitoh, T. and Kimoto, K. (2018), "Application of time-reversal method using topological sensitivity for defect detection to ultrasonic phased array testing", J. JPN Soc. Civil Eng., Ser. A2 (Appl. Mech. (AM)), 74(2), 85-93. (in Japanese) https://doi.org/10.2208/jscejam.74.I_85.
  10. Nakahata, K., Amano, Y., Mizota, H. and Nagashima, Y. (2019), "Simulation-aided time reversal analysis for defect reconstruction in anisotropic materials", Insight-Non-Destruct. Test. Cond. Monit., 61(11), 669-675. https://doi.org/10.1784/insi.2019.61.11.669.
  11. Nematzadeh, M. and Fallah-Valukolaee, S. (2017), "Effectiveness of fibers and binders in high-strength concrete under chemical corrosion", Struct. Eng. Mech., 64(2), 243-257. http://doi.org/10.12989/sem.2017.64.2.243.
  12. Rose J.L. (1999), Ultrasonic Waves in Solid Media, Cambridge University Press, Cambridge, Cambridgeshire, UK.
  13. Saitoh, T., Gunawan, A. and Hirose, S. (2003), "Application of fast multipole boundary element method to scattering analysis of SH waves by lap joint", AIP Conf. Proc., 657, 1103-1110. https://doi.org/10.1063/1.1570256.
  14. Saleem, M. (2017), "Study to detect bond degradation in reinforced concrete beams using ultrasonic pulse velocity test method", Struct. Eng. Mech., 64(4), 427-436. http://doi.org/10.12989/sem.2017.64.4.427.
  15. Sigmund, O. and Maute, K. (2013), "Topology optimization approaches", Struct. Multidisc. Optim., 48, 1031-1055. https://doi.org/10.1007/s00158-013-0978-6.
  16. Wang, B. and Hirose, S. (2012), "Inverse problem for shape reconstruction of plate-thinning by guided SH-waves", Mater. Trans., 53(10), 1782-1789. https://doi.org/10.2320/matertrans.I-M2012823.
  17. Zhao, N., Wu, B., Liu, X., Ding, K., Hu, Y. and Bayat, M. (2019), "Quantitative evaluation of through-thickness rectangular notch in metal plates based on lamb waves", Struct. Eng. Mech., 71(6), 751-761. http://doi.org/10.12989/sem.2019.71.6.751.