Lamb-wave tomography (LWT) offers a powerful nondestructive technique for the health
assessment of large structures as their propagation properties depend on the thickness
and the mechanical properties of the material. Development of a fast and accurate algorithm
for defect detection is of paramount importance in any structural-health-monitoring
(SHM) system. The present study explores the prospects of LWT as a SHM technique with
an accent on developing a suitable algorithm for real-time inspection. Projection data is collected
by electronically scanning an array of ultrasonic sensors arranged in a modified
cross-hole geometry. The data thus collected is investigated to extract energy profile of
the traveling waves. Multiplicative algebraic reconstruction technique (MART) algorithms
are used as a tool for tomographic reconstruction from a set of multiple independent
measurements. The performance of algorithms is evaluated from the point of view of the
cost of algorithm, achievable resolution, and accuracy of results. Experimental results show
that MART is capable of characterizing defects in thin isotropic and composite plates within
a reasonable error band ( 26% normalized, 2.6 RMS) and is suitable for application
to LWT of large structures such as aircraft skins.
1. F. K. Chang. Proceedings of the Second International Workshop on Structural Health Monitoring,
Stanford University, Stanford, CA (1999).
2. W. G. Schwarz, M. E. Read, M. J. Kremer, M. K. Hinders, and B. T. Smith. SPIE Conference on Nondestructive
Evaluation of Aging Aircraft, Airports, and Aerospace Hardware III. SPIE 3586:292 (1999).
3. A. Viktorov. Rayleigh and Lamb Waves. Plenum Press, New York (1970).
4. J. L. Rose. Ultrasonics Waves in Solid Media. Cambridge University Press, Cambridge (1999).
5. J. Krautkramer and H. Krautkramer. Ultrasonic Testing of Materials. Springer-Verlag, Heidelberg,
Germany (1983).
6. D. N. Alleyne and P. Cawley. Proceedings of the Institution of Mechanical Engineers, Pt. E. Journal of
Process Mechanical Engineering 210:217 (1996).
7. A. C. Kak and Malcolm Slaney. Principles of Computerized Tomographic Imaging. IEEE Press (1998).
8. G. T. Herman. Image Reconstruction from Projections: The Fundamentals of Computerized Tomography.
Academic Press, New York (1980).
9. P. Subbarao, P. Munshi, and K. Muralidhar. NDT & E International 30:359 (1997).
10. R. Gordon, R. Bender, and G. T. Herman. J. Theo. Biol. 29:471 (1970).
11. R. Gordon and G. T. Herman. Int. Rev. Cytol. 38:111 (1974).
12. A. Lent. Proc. SPIE Image Analysis and Evaluation, R. Shaw (ed.), 249 (1977).
13. A. Curtis. Cambridge Research, SEG Expanded Abstracts, 17:797, Soc. of Exploration Geophysicists,
Tulsa, OK (1998).
14. E. V. Malyarenko and M. K. Hinders. J. Acoustical Society of America 108:1631 (2000).
15. MATLAB documentation available at www.mathworks.com.
16. S. Khare. Lamb Wave Tomography for Structural Health Monitoring of Aircraft Systems, Indian
Institute of Technology, M.Tech. Thesis (2005).
17. N. Guo and P. Cawley. NDT & E International 29:247 (1996).