Forward and Inverse Studies on Scattering of Rayleigh Wave at Surface Flaws
Source abstract
Abstract
The Rayleigh wave has been frequently applied in geological seismic inspection and ultrasonic non-destructive testing, due to its low attenuation and dispersion. A thorough and effective utilization of Rayleigh wave requires better understanding of its scattering phenomenon. The paper analyzes the scattering of Rayleigh wave at the canyon-shaped flaws on the surface, both in forward and inverse aspects. Firstly, we suggest a modified boundary element method (BEM) incorporating the far-field displacement patterns into the traditional BEM equation set. Results show that the modified BEM is an efficient and accurate approach for calculating far-field reflection coefficients. Secondly, we propose an inverse reconstruction procedure for the flaw shape using reflection coefficients of Rayleigh wave. By theoretical deduction, it can be proved that the objective function of flaw depth d(x1) is approximately expressed as an inverse Fourier transform of reflection coefficients in wavenumber domain. Numerical examples are given by substituting the reflection coefficients obtained from the forward analysis into the inversion algorithm, and good agreements are shown between the reconstructed flaw images and the geometric characteristics of the actual flaws.
Source: crossref · Quality: baseline
Research context
OpenAlex topics: Ultrasonics and Acoustic Wave Propagation · Seismic Waves and Analysis · Geophysical Methods and Applications
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
State Key Laboratory of Mechanics and Control of Mechanical Structures/College of Aerospace Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
Funding
National Natural Science Foundation of China · Program for New Century Excellent Talents in Universities · Natural Science Foundation of Jiangsu Province · the Fundamental Research Funds for Central Universities · a project Funded by the Priority Academic Program Development of Jiangsu Higher Education Institutions
References (37)
Show source-provided references
1. Graff, K.F. (1975). Wave Motion in Elastic Solids, Oxford Univerisity Press. [1st ed.].
2. Achenbach, J.D. (1975). Wave Propagation in Elasic Solids, North-Holland.
3. Thompson, D.O. Characterization of surface wave scattering by surface breaking cracks. Proceedings of the ARPA/AFML Review of Progress in Quantitative NDE.
4. Acoustic emission from a surface-breaking crack under cyclic loading10.1007/s00707-007-0525-x ↗
5. Two-dimensional scattering and diffraction of p- and sv-waves around a semi-circular canyon in an elastic half-space: An analytic solution via a stress-free wave function10.1016/j.soildyn.2014.02.005 ↗
6. Rayleigh wave interaction with surface-breaking cracks10.1063/1.2435803 ↗
7. Rayleigh wave propagation for the detection of near surface discontinuities: Finite element modeling10.1023/A:1026307909788 ↗
8. Finite element modeling of the interaction of laser-generated ultrasound with a surface-breaking notch in an elastic plate10.1016/j.optlastec.2009.11.012 ↗
9. Effect of surface topography on the diffraction of P, SV and Rayleigh waves
10. Time-domain response of a semi-circular canyon for incident SV, P and Rayleigh waves calculated by the discrete wavenumber boundary element method10.1785/BSSA0780041415 ↗
11. Ranguelov, B., and Housner, G. (1992, January 19–24). Seismic response of alluvial valleys for incident p, s and Rayleigh waves: A boundary integral formulation. Proceedings of the 10th World Conference of Earthquake Engineering, Lotterdam, The Netherland.
12. Rayleigh-wave scattering by shallow cracks using the indirect boundary element method10.1088/1742-2132/6/3/002 ↗
13. Three-dimensional modeling of elastic guided waves excited by arbitrary sources in viscoelastic multilayered plates10.1016/j.wavemoti.2014.08.007 ↗
14. Boundary element modeling for defect characterization potential in a wave guide10.1016/S0020-7683(03)00097-0 ↗
15. An elastodynamic hybrid boundary element study for elastic guided wave interactions with a surface breaking defect10.1016/S0020-7683(99)00142-0 ↗
16. On time-domain two-dimensional site response analysis of topographic structures by BEM
17. Diffraction of Rayleigh wave by simple surface irregularity using boundary element method10.1088/1742-2132/12/3/365 ↗
18. Rayleigh wave correction for the bem analysis of two-dimensional elastodynamic problems in a half-space10.1002/nme.1039 ↗
19. Three-dimensional transient half-space dynamics using the dual reciprocity boundary element method10.1016/j.enganabound.2007.10.004 ↗
20. Detection of small surface-breaking fatigue cracks in steel using scattering of Rayleigh waves10.1016/S0963-8695(00)00080-3 ↗
21. Surface defect detection in stiffened plate structures using Rayleigh-like waves10.1016/j.ndteint.2009.04.006 ↗
22. Lee, F.W., Chai, H.K., and Lim, K.S. (2016). Assessment of reinforced concrete surface breaking crack using Rayleigh wave measurement. Sensors, 16.10.3390/s16030337 ↗
23. Focused Rayleigh wave EMAT for characterisation of surface-breaking defects10.1016/j.ndteint.2016.03.002 ↗
24. Characterizing concrete surface notch using Rayleigh wave phase velocity and wavelet parametric analyses10.1016/j.conbuildmat.2016.08.145 ↗
25. Effect of near-surface topography on high-frequency Rayleigh-wave propagation10.1016/j.jappgeo.2015.02.028 ↗
26. Estimation of near-surface shear-wave velocity by inversion of Rayleigh waves10.1190/1.1444578 ↗
27. Feasibility of detecting near-surface feature with Rayleigh-wave diffraction10.1016/j.jappgeo.2006.12.002 ↗
28. Detection of near-surface cavities by generalized s-transform of Rayleigh waves10.1016/j.jappgeo.2016.03.041 ↗
29. Application of 2D elastic Rayleigh waveform inversion to ultrasonic laboratory and field data10.3997/1873-0604.2016027 ↗
30. Monitoring near-surface depth profile of residual stress in weakly anisotropic media by Rayleigh-wave dispersion10.1016/j.wavemoti.2017.10.008 ↗
31. Inverse problem for shape reconstruction of plate-thinning by guided SH-waves10.2320/matertrans.I-M2012823 ↗
32. Wang, B., Qian, Z., and Hirose, S. (2015). Inverse shape reconstruction of inner cavities using guided SH-waves in a plate. Shock Vib., 2015.10.1155/2015/195682 ↗
33. Shape reconstruction of plate thinning using reflection coefficients of ultrasonic Lamb waves: A numerical approach10.2355/isijinternational.52.1320 ↗
34. Schmerr, L.W. (1998). Fundamentals of Ultrasonic Nondestructive Evaluation, Plenum Publishing Corporation.10.1007/978-1-4899-0142-2 ↗
35. Achenbach, J.D. (2003). Reciprocity in Elastodynamics, Cambridge University Press.10.1017/CBO9780511550485 ↗
36. Pike, R., and Sabatier, P. (2002). General theory of elastic wave scattering. Scattering: Scattering and Inverse Scattering in Pure and Applied Science, Academic Press.
37. Beskos, D.E. (1987). Elastodynamics. Boundary Element Methods in Mechanics, Volume 3 in Computational Methods in Mechanics, North-Holland.