Abstract
Guided waves are increasingly used for Non-Destructive Testing (NDT) of structures; their attractions include speed of inspection and their ability to penetrate inaccessible regions. However developments of guided wave methods are relatively complex because of the existence of multiple frequency-dispersive modes. Successful development depends on a thorough knowledge of which modes may propagate in a structure, their velocity-frequency dispersion relations, and their profiles of stresses and displacements. The authors have developed a general purpose computer model which they have used for a wide variety of studies during the past ten years or so. The paper describes the function of the model in outline, and illustrates its use on some NDT applications.
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References
Alleyne, D. and P. Cawley: 1992, ‘Optimization of Lamb wave inspection techniques’. NDT & E Int. 25, 11–22.
Alleyne, D. and P. Cawley: 1997, ‘Long range propagation of Lamb waves in chemical plant pipework’. Mater. Eval. 55, 504–508.
Alleyne, D., B. Pavlakovic, M. Lowe, and P. Cawley: 2001, ‘Rapid, long range inspection of chemical plant pipework using guided waves’. Insight 43, 93–96, 101.
Aristegui, C., M. Lowe, and P. Cawley: 2001, ‘Guided waves in fluid-filled pipes surriunded by different fluids’. Ultrasonics 39, 367–375.
Beard, M., M. Lowe, and P. Cawley: 2001, ‘Inspection of rock bolts using guided ultrasonic waves’. In: D. Thompson and D. Chimenti (eds.): Review of Progress in Quantitative NDE, Vol. 20. pp. 1156–1163.
Berliner, M. and R. Solecki: 1996, ‘Wave propagation in fulid-loaded, transversely isotropic cylinders. Part I. Analytical formulation’. J. Acoust. Soc. am. 99, 1841–1847.
Bernard, A., M. Lowe, and M. Deschamps: 2001, ‘Guided waves energy velocity in absorbing and non-absorbing plates’. J. Acoust. Soc. am. 110, 186–196.
Chimenti, D.: 1997, ‘Guided waves in plates and their use in materials characterization’. Applied Mechanical Review 50, 247–284.
Chimenti, D. and A. Nayfeh: 1990, ‘Ultrasonic reflection and guided wave propagation in biaxially laminated composite plates’. J. Acoust. Soc. am. 87, 1409–1415.
Dalton, R., P. Cawley, and M. Lowe: 2001, ‘The potential of guided waves for monitoring large areas of metallic aircraft fuselage structure’. J. Nondestruct. Eval 20, 29–46.
Dunkin, J.: 1965, ‘Computation of modal solutions in layered, elastic media at high frequencies’. Bulletin of the Seismological Society 55, 335–358.
Gazis, D.: 1959a, ‘Three dimensional investigation of the propagation of waves in hollow circular cylinders. I. Analytical foundation’. J. Acoust. Soc. am. 31, 568–578.
Gazis, D. C.: 1959b, ‘Three-Dimensional Investigation of the Propagation of Waves in Hollow Circular Cylinders. II. Numerical Results’. J. Acoust. Soc. am. 31(5), 573–578.
Haskell, N.: 1953, ‘The dispersion of surface waves on multi-layered media’. Bulletin of the American Seismological Society 43, 17–34.
Hosten, B. and M. Castings: 1993, ‘An acoustic method to predict the effective elastic constants of orthotropic and symmetric laminates’ In: D. Thompson and D. Chimenti (eds.): Review of Progress in Quantitative NDE. pp. 1201–1207.
Knopoff, L.: 1964, ‘A matrix method for elastic wave problems’. Bulletin of the Seismological Society of America 54, 431–438.
Kwun, H., G. Burkhardt, and C. Teller: 2002, ‘Propagation of Lamb waves in anisotropic and absorbing plates: theoretical derivation and experiments’. In: D. Thompson and D. Chimenti (eds.): Review of Progress in Quantitative NDE, Vol. 21. p. in press.
Lamb, H.: 1917, ‘On waves in an elastic plate’. In: Proc. R. Soc. London, Ser. A. pp. 114–128.
Long, R., K. Vine, M. Lowe, and P. Cawley: 2001, ‘Monitoring acoustic wave propagation in buried cast iron water pipes’. In: D. Thompson and D. Chimenti (eds.): Review of Progress in Quantitative NDE, Vol. 20. pp. 1202–1209.
Lowe, M.: 1995, ‘Matrix techniques for modeling ultrasonic waves in mutilayered media’. IEEE Trans. Ultrason. Ferroelectr. Freq. Control 42, 525–542.
Lowe, M., D. Alleyne, and P. Cawley: 1998, ‘Defect detection in pipes using guided waves’. Ultrasonics 36, 147–154.
Lowe, M. and P. Cawley: 1994, ‘The applicability of plate wave techniques for the inspection of adhesive and diffusion bonded joints’. J. Nondestruct. Eval 13, 185–199.
Lowe, M., R. Challis, and C. Chan: 2000, ‘The transmission of Lamb waves across adhesivley bonded lap joints’. J. Acoust. Soc. Am. 111, 1333–1345.
Lowe, M. and B. Pavlakovic: 2001, ‘DISPERSE User Manual, version 2.0.11d’. Technical report, Imperial College of Science, Technology and Medicine, London,UK; www.me.ic.ac.uk∥namics.
Mirsky, I.: 1965, ‘Wave propagation in transversely isotropic circular cylinders Part I: Theory’. J. Acoust. Soc. am. 37, 1016–1021.
Nagy, P. B. and A. Nayfeh: 1996, ‘Viscosity-induced attenuation of longitudinal guided waves in fluid-loaded rods’. J. Acoust. Soc. am. 100, 1501–1508.
Nayfeh, A.: 1995, ‘Wave propagation in layered anisotropic media with application to composites’. Elsevier.
Nayfeh, A. and D. Chimenti: 1989, ‘Free wave propagation in plates of general anisotropic media’. J. Appl. Mech 556, 881–886.
Nayfeh, A. and P. Nagy: 1996, ‘General study of axisymmetric waves in layered anisotropic fibers and their composites’. J. Acoust. Soc. am. 99, 931–941.
Pavlakovic, B.: 1998, ‘Leaky guided ultrasonic waves in NDT’. Ph.D. thesis, University of London, UK.
Pavlakovic, B. and M. Lowe: 1999, ‘A general purpose approach to calculating the longitudinal and flexural modes of multi-layered, embedded, transversely isotropic cylinders’. In: D. Thompson and D. Chimenti (eds.): Review of Progress in Quantitative NDE, Vol. 18. pp. 239–246.
Pavlakovic, B., M. Lowe, D. Alleyne, and P. Cawley: 1997, ‘DISPERSE: A general purpose program for creating dispersion curves’. In: D. Thompson and D. Chimenti (eds.): Review of Progress in Quantitative NDE, Vol. 16. pp. 185–192.
Pavlakovic, B., M. Lowe, and P. Cawley: 2001, ‘High frequency low loss ultrasonic modes in embedded bars’. J. Appl. Mech 68, 67–75.
Rayleigh, L.: 1885, ‘On waves propagating along the plane of an elastic solid’. Proc. London Math. Soc. 17.
Rose, J., J. Ditri, A. Pilarski, K. Rajana, and F. Carr: 1994, ‘A guided wave inspection technique for nuclear steam generator tubing’. NDT & E Int. 27, 307–310.
Schmidt, H. and F. Jensen: 1985, ‘A full wave solution for propagation in multilayered viscoelastic media with application to Gaussian beam reflection at liquid-solid interfaces’. J. Acoust. Soc. am. 77, 813–825.
Thompson, R., G. Alers, and M. Tennison: 1972, ‘Application of direct electromagnetic Lamb wave generation to gas pipeline inspection’. In: Proceedings of the 1971 IEEE Ultrasonic Symposium. pp. 91–94.
Thomson, W.: 1950, ‘Transmission of elastic waves through a stratified solid medium’. J. Appl. Phys. 21, 89–93.
Vogt, T., M. Lowe, and P. Cawley: 2001, ‘Cure monitoring using ultrasonic guided waves in wires’. In: D. Thompson and D. Chimenti (eds.): Review of Progress in Quantitative NDE, Vol. 20. pp. 1642–1649.
Wilcox, P., M. Lowe, and P. Cawley: 1999, ‘Long range Lamb wave inspection: the effect of dispersion and modal selectivity’. In: D. Thompson and D. Chimenti (eds.): Review of Progress in Quantitative NDE, Vol. 18. pp. 151–158.
Wilcox, P., M. Lowe, and P. Cawley: 2000, ‘Lamb and SH wave transducer arrays for the inspection of large areas of thick plates’. In: D. Thompson and D. Chimenti (eds.): Review of Progress in Quantitative NDE, Vol. 19. pp. 1049–1056.
Wilcox, P., M. Lowe, and P. Cawley: 2001, ‘The effect of dispersion on long range inspection using ultrasonic guided waves’. NDT & E Int. 34, 1–9.
Worlton, D.: 1957, ‘Ultrasonic testing with Lamb waves’. NonDestr. Test. 15, 218–222.
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Lowe, M.J.S., Cawley, P., Pavlakovic, B.N. (2004). A General Purpose Computer Model for Calculating Elastic Waveguide Properties, with Application to Non-Destructive Testing. In: Goldstein, R.V., Maugin, G.A. (eds) Surface Waves in Anisotropic and Laminated Bodies and Defects Detection. NATO Science Series II: Mathematics, Physics and Chemistry, vol 163. Springer, Dordrecht. https://doi.org/10.1007/1-4020-2387-1_14
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DOI: https://doi.org/10.1007/1-4020-2387-1_14
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