Mindlin plate theory for damage detection: Imaging of flexural inhomogeneities

Journal of the Acoustical Society of America

Volumn 127, Issue 2, 2010, Pages 754-763

  Rose, L R Francis ^a   Wang, Chun H ^b  

^a DEFENCE SCIENCE AND TECHNOLOGY ORGANISATION   (Australia)

^b RMIT UNIVERSITY   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

BENDING STIFFNESS; COMPUTATIONALLY EFFICIENT; EIGENSYSTEM; FAR-FIELD SCATTERING; FILTERED BACKPROPAGATION; FOURIER DIFFRACTION THEOREMS; IN-SITU; INHOMOGENEITIES; LOCALIZED DAMAGE; MINDLIN PLATE THEORY; MODE COUPLING; PLATE WAVES; PLATE-LIKE STRUCTURE; ROTARY INERTIAS; SCATTERED FIELD; SCATTERING OPERATORS; SHEAR STIFFNESS; SPATIAL FOURIER TRANSFORM; STRUCTURAL DAMAGES; SYNTHETIC DATA;

BORN APPROXIMATION; DAMAGE DETECTION; FOURIER TRANSFORMS; IMAGE RECONSTRUCTION; MATHEMATICAL OPERATORS; STIFFNESS; STRUCTURAL ANALYSIS;

MINDLIN PLATES;

EID: 76349092065     PISSN: 00014966     EISSN: None     Source Type: Journal    
DOI: 10.1121/1.3277217     Document Type: Article

References (40)

1. L. R. F. Rose and C. H. Wang, " Mindlin plate theory for damage detection: Source solutions.," J. Acoust. Soc. Am. JASMAN 0001-4966 116, 154-171 (2004). 10.1121/1.1739482 (Pubitemid 38915994)
2. J. C. P. McKeon and M. K. Hinders, " Parallel projection and crosshole Lamb wave contact scanning tomography.," J. Acoust. Soc. Am. JASMAN 0001-4966 106, 2568-2577 (1999). 10.1121/1.428088 (Pubitemid 29523071)
3. E. V. Malyarenko and M. K. Hinders, " Fan beam and double crosshole Lamb wave tomography for mapping flaws in aging aircraft structures.," J. Acoust. Soc. Am. JASMAN 0001-4966 108, 1631-1639 (2000). 10.1121/1.1289663 (Pubitemid 30776082)
4. E. V. Malyarenko and M. K. Hinders, " Ultrasonic Lamb wave diffraction tomography.," Ultrasonics ULTRA3 0041-624X 39, 269-281 (2001). 10.1016/S0041-624X(01)00055-5 (Pubitemid 32427599)
5. K. R. Leonard, E. V. Malyarenko, and M. K. Hinders, " Ultrasonic Lamb wave tomography.," Inverse Probl. INPEEY 0266-5611 18, 1795-1808 (2002). 10.1088/0266-5611/18/6/322
6. K. R. Leonard and M. K. Hinders, " Multi-mode Lamb wave tomography with arrival time sorting.," J. Acoust. Soc. Am. JASMAN 0001-4966 117, 2028-2038 (2005). 10.1121/1.1867792 (Pubitemid 40570462)
7. M. Lemistre and D. Balageas, " Structural health monitoring system based on diffracted Lamb wave analysis by multiresolution processing.," Smart Mater. Struct. SMSTER 0964-1726 10, 504-511 (2001). 10.1088/0964-1726/10/ 3/312
8. T. Grahn, " Lamb wave scattering from a circular partly through-thickness hole in a plate.," Wave Motion WAMOD9 0165-2125 37, 63-80 (2003). 10.1016/S0165-2125(02)00051-3 (Pubitemid 35431902)
9. A. N. Norris and C. Vemula, " Scattering of flexural waves on thin plates.," J. Sound Vib. JSVIAG 0022-460X 181, 115-125 (1995). 10.1006/jsvi.1995.0129
10. C. Vemula and A. N. Norris, " Flexural wave propagation and scattering on thin plates using Mindlin theory.," Wave Motion WAMOD9 0165-2125 26, 1-12 (1997). 10.1016/S0165-2125(97)00016-4
11. T. D. Mast, A. I. Nachman, and R. C. Waag, " Focusing and imaging using eigenfunctions of the scattering operator.," J. Acoust. Soc. Am. JASMAN 0001-4966 102, 715-725 (1997). 10.1121/1.419898 (Pubitemid 27332792)
12. F. Lin, A. I. Nachman, and R. C. Waag, " Quantitative imaging using a time-domain eigenfunctions method.," J. Acoust. Soc. Am. JASMAN 0001-4966 108, 899-912 (2000). 10.1121/1.1285919 (Pubitemid 30694856)
13. A. N. Norris, " A direct inverse scattering method for imaging obstacles with unknown surface conditions.," IMA J. Appl. Math. IJAMDM 0272-4960 61, 267-290 (1998). 10.1093/imamat/61.3.267
14. A. C. Kak and M. Slaney, Principles of Computerized Tomographic Imaging (IEEE, New York, 1988), Chap., free download at http://www.slaney.org/pct/pct- toc.html (Last viewed 11/17/09).
15. A. H. Rohde, " Lamb wave diffraction tomography for imaging material inhomogeneities in isotropic plates.," Ph.D. thesis, University of Queensland, Brisbane, Australia (2007).
16. A. H. Rohde, M. Veidt, L. R. F. Rose, and J. Homer, " A computer simulation study of imaging flexural inhomogeneities using plate-wave diffraction tomography.," Ultrasonics ULTRA3 0041-624X 48, 6-15 (2008). 10.1016/j.ultras.2007.09.002 (Pubitemid 351288396)
17. J. D. Achenbach, Wave Propagation in Elastic Solids (North-Holland, Amsterdam, 1973).
18. K. Aki and P. G. Richards, Quantitative Seismology (Freeman, San Francisco, CA, 1980), Vol. 1.
19. R. D. Mindlin and J. Yang, An Introduction to the Mathematical Theory of Vibrations of Elastic Plates (World Scientific, Singapore, 2007).
20. The Collected Papers of Raymond D. Mindlin, edited by, H. Deresiewicz, M. P. Bieniek, and, F. L. DiMaggio, (Springer-Verlag, New York, 1989).
21. J. L. Rose, Ultrasonic Waves in Solid Media (Cambridge University Press, New York, 1999).
22. J. L. Rose, " A baseline and vision of ultrasonic guided wave inspection potential.," J. Pressure Vessel Technol. JPVTAS 0094-9930 124, 273-282 (2002). 10.1115/1.1491272 (Pubitemid 35202386)
23. S. J. Norton, " Generation of separate density and compressibility images in tissue.," Ultrason. Imaging ULIMD4 0161-7346 5, 240-252 (1983). 10.1016/0161-7346(83)90004-4
24. A. J. Devaney, " Variable density acoustics tomography.," J. Acoust. Soc. Am. JASMAN 0001-4966 78, 120-130 (1985). 10.1121/1.392574 (Pubitemid 15063963)
25. A. Witten, J. Tuggle, and R. C. Waag, " A practical approach to ultrasonic imaging using diffraction tomography.," J. Acoust. Soc. Am. JASMAN 0001-4966 83, 1645-1652 (1988). 10.1121/1.395919
26. C. H. Wang and L. R. F. Rose, " Wave reflection and transmission in beams containing delamination and inhomogeneity.," J. Sound Vib. JSVIAG 0022-460X 264, 851-872 (2003). 10.1016/S0022-460X(02)01193-8
27. C. H. Wang and F. K. Chang, " Scattering of plate waves by a cylindrical inhomogeneity.," J. Sound Vib. JSVIAG 0022-460X 282, 429-451 (2005). 10.1016/j.jsv.2004.02.023 (Pubitemid 40583900)
28. P. M. Morse and K. U. Ingard, Theoretical Acoustics (Princeton University Press, Princeton, NJ, 1968), Chap..
29. R. Wu and K. Aki, " Scattering characteristics of elastic waves by an elastic heterogeneity.," Geophysics GPYSA7 0016-8033 50, 582-595 (1985). 10.1190/1.1441934
30. J. P. Lefebvre, " A linearised inverse problem: Acoustical impedance tomography of biological media.," in Electromagnetic and Acoustic Scattering: Detection and Inverse Problem, edited by, C. Bourrely, P. Chiappetta, and, B. Torresani, (World Scientific, Singapore, 1988).
31. A. J. Devaney and G. Beylkin, " Diffraction tomography using arbitrary transmitter and receiver surfaces.," Ultrason. Imaging ULIMD4 0161-7346 6, 181-193 (1984). 10.1016/0161-7346(84)90025-7
32. R. K. Mueller, M. Kaveh, and G. Wade, " Reconstructive tomography and applications to ultrasonics.," Proc. IEEE IEEPAD 0018-9219 67, 567-587 (1979). 10.1109/PROC.1979.11284
33. A. J. Devaney, " A filtered backpropagation algorithm for diffraction tomography.," Ultrason. Imaging ULIMD4 0161-7346 4, 336-350 (1982). 10.1016/0161-7346(82)90017-7 (Pubitemid 13169103)
34. T. D. Mast, A. I. Nachman, D. L. Liu, and R. C. Waag, " Quantitative imaging with eigenfunctions of the scattering operator.," in 1997 IEEE International Ultrasonics Symposium Proceedings, Toronto, Canada (1997), IEEE Catalog No. 97CH36118-2, pp. 1507-1510.
35. C. H. Wang, J. T. Rose, and F. -K. Chang, " A synthetic time-reversal imaging method for structural health monitoring.," Smart Mater. Struct. SMSTER 0964-1726 13, 415-423 (2004). 10.1088/0964-1726/13/2/020
36. A. J. Devaney and M. Dennison, " Inverse scattering in inhomogeneous background media.," Inverse Probl. INPEEY 0266-5611 19, 855-870 (2003). 10.1088/0266-5611/19/4/305
37. M. L. Dennison and A. J. Devaney, " Inverse scattering in inhomogeneous background media: II. Multi-frequency case and SVD formulation.," Inverse Probl. INPEEY 0266-5611 20, 1307-1324 (2004). 10.1088/0266-5611/20/4/018
38. A. H. Rohde, L. R. F. Rose, M. Veidt, and C. H. Wang, " Two inversion strategies for plate wave diffraction tomography.," Mater. Forum MFOREM 0883-2900 33, 489-495 (2009).
39. 0 from a rectangular notch in a plate.," J. Acoust. Soc. Am. JASMAN 0001-4966 112, 2612-2622 (2002). 10.1121/1.1512702 (Pubitemid 37033838)
40. M. Brandfass, A. D. Lanterman, and K. F. Warnick, " A comparison of the Colton-Kirsch inverse scattering methods with linearised tomographic inverse scattering.," Inverse Probl. INPEEY 0266-5611 17, 1797-1816 (2001). 10.1088/0266-5611/17/6/316 (Pubitemid 34012929)