Determination of thickness and elastic constants of aluminum plates from full-field wavelength measurements of single-mode narrowband Lamb waves

Journal of the Acoustical Society of America

Volumn 124, Issue 3, 2008, Pages 1477-1489

  Deán, J Luis ^a   Trillo, Cristina ^a   Doval, Ángel F ^a   Fernández, Joś L ^a  

^a UNIVERSITY OF VIGO   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTICS; ALUMINA; ALUMINUM; CURVE FITTING; ELASTIC CONSTANTS; INTERFEROMETRY; LIGHT METALS; TWO DIMENSIONAL; ULTRASONIC WAVES;

ACCURATE MEASUREMENTS; ACOUSTIC FREQUENCIES; ACOUSTIC WAVELENGTH; ALUMINUM PLATES; DIFFERENT FREQUENCIES; DIFFERENT MODES; DISPERSION CURVES; DISPLACEMENT FIELDS; ELECTRONIC SPECKLE PATTERN INTERFEROMETRY; ERROR FUNCTIONS; EXPERIMENTAL DATA; EXPERIMENTAL MEASUREMENTS; FULL-FIELD; LAMB MODES; LAMB WAVES; NARROW BANDS; OUT-OF PLANE; PLATE SURFACES; SINGLE MODES; THREE PARAMETERS; TWO-DIMENSIONAL MAP; UNKNOWN PARAMETERS; WAVELENGTH MEASUREMENTS; WEDGE ANGLES;

PARAMETER ESTIMATION;

ALUMINUM;

ACOUSTICS; ARTICLE; DISPERSION; ELASTICITY; INTERFEROMETRY; MATHEMATICAL ANALYSIS; PRIORITY JOURNAL; THICKNESS; ULTRASOUND; WAVEFORM;

ALUMINUM; ELASTICITY; FOURIER ANALYSIS; INTERFEROMETRY; MODELS, CHEMICAL; MONTE CARLO METHOD; MOTION; REPRODUCIBILITY OF RESULTS; SIGNAL PROCESSING, COMPUTER-ASSISTED; SOUND; TIME FACTORS; ULTRASONICS; UNCERTAINTY;

EID: 52449113418     PISSN: 00014966     EISSN: None     Source Type: Journal    
DOI: 10.1121/1.2945707     Document Type: Article

References (44)

1. Nondestructive Testing Handbook, edited by, A. S. Birks, R. E. Green, and, P. McIntire, (American Society for Nondestructive Testing, Columbus, OH, 1991).
2. K. F. Graff, Wave Motion in Elastic Solids (Dover, New York, 1975).
3. I. A. Viktorov, Rayleigh and Lamb Waves (Plenum, New York, 1967).
4. C. B. Scruby and L. E. Drain, Laser Ultrasonics: Techniques and Applications (Hilger, Bristol, 1990), pp. 148-222.
5. T. D. Mast and G. A. Gordon, " Quantitative flaw reconstruction from ultrasonic surface wavefields measured by electronic speckle pattern interferometry.," IEEE Trans. Ultrason. Ferroelectr. Freq. Control 48, 432-444 (2001).
6. J. L. Fernández, A. F. Doval, C. Trillo, J. L. Deán, and J. C. López, " Video ultrasonics by pulsed TV holography: A new capability for non-destructive testing of shell structures.," International Journal of Optomechatronics 1, 122-153 (2007).
7. R. J. Dewhurst, C. Edwards, A. D. W. McKie, and S. B. Palmer, " Estimation of the thickness of thin metal sheet using laser generated ultrasound.," Appl. Phys. Lett. 51, 1066-1068 (1987).
8. R. Zhang, M. Wan, and W. Cao, " Parameter measurement of thin elastic layers using low-frequency multi-mode ultrasonic Lamb waves.," IEEE Trans. Instrum. Meas. 50, 1397-1403 (2001).
9. B. Culshaw, G. Pierce, and P. Jun, " Non-contact measurement of the mechanical properties of materials using an all-optical technique.." IEEE Sens. J. 3, 62-70 (2003).
10. W. Gao, C. Glorieux, and J. Thoen, " Laser ultrasonic study of Lamb waves: Determination of the thickness and velocities of a thin plate.," Int. J. Eng. Sci. 41, 219-228 (2003).
11. M. Lematre, Y. Benmehrez, G. Bourse, J. W. Xu, and M. Ourak, " Determination of elastic parameters in isotropic plates by using acoustic microscopy measurements and an optimization method.," NDT & E Int. 35, 493-502 (2002).
12. A. S. Murfin and R. J. Dewhurst, " Estimation of wall thinning in mild steel using laser ultrasound Lamb waves and a non-steady-state photo-emf detector.," Ultrasonics 40, 777-781 (2002).
13. X. Chen and M. Wan, " Parameter measurement of the cylindrically curved thin layer using low-frequency circumferential Lamb waves.," Ultrasonics 43, 357-364 (2005).
14. Y. H. Kim, S.-J. Song, S.-D. Kwon, Y.-M. Cheong, and H.-K. Jung, " Determination of ultrasonic wave velocities and phase velocity dispersion curves of an Inconel 600 plate using resonant ultrasound spectroscopy and leaky Lamb waves.," Ultrasonics 42, 551-555 (2004).
15. D. Clorennec, C. Prada, and D. Royer, " Local and noncontact measurements of bulk acoustic wave velocities in thin isotropic plates and shells using zero group velocity Lamb modes.," J. Appl. Phys. 101, 034908 (2007).
16. W. P. Rogers, " Elastic property measurement using Rayleigh-Lamb waves.," Res. Nondestruct. Eval. 6, 185-208 (1995).
17. A. Safaeinili, O. I. Lobkis, and D. E. Chimenti, " Quantitative materials characterization using air-coupled leaky Lamb waves.," Ultrasonics 34, 393-396 (1996).
18. J. L. Fernández, J. L. Deán, C. Trillo, and A. F. Doval, " Elastic constants determination by direct measurement of the beat wavelength between A0 and S0 Lamb modes with pulsed TV holography.," Opt. Lasers Eng. 45, 618-630 (2007).
19. Y. Hayashi, S. Ogawa, H. Cho, and M. Takemoto, " Non-contact estimation of thickness and elastic properties of metallic foils by the wavelet transform of laser-generated Lamb waves.," NDT & E Int. 32, 21-27 (1999).
20. S. E. Bobbin, J. W. Wagner, and R. C. Cammarata, " Determination of the flexural modulus of thin films from measurement of the first arrival of the symmetric Lamb wave.," Appl. Phys. Lett. 59, 1544-1546 (1991).
21. J. A. Rogers, L. Dhar, and K. A. Nelson, " Noncontact determination of transverse isotropic elastic moduli in polyimide thin films using a laser based ultrasonic method.," Appl. Phys. Lett. 65, 312-314 (1994).
22. T.-T. Wu and Y.-H. Liu, " On the measurement of anisotropic elastic constants of fiber-reinforced composite plate using ultrasonic bulk wave and laser generated Lamb wave.," Ultrasonics 37, 405-412 (1999).
23. Y. Mizutani and M. Takemoto, " A simplified elastic stiffness estimation of unidirectional carbon-fiber-reinforced coupon using the in-plane velocity anisotropy of Lamb waves.," Jpn. J. Appl. Phys., Part 1 37, 3110-3115 (1998).
24. C. M. Hernandez, T. W. Murray, and S. Krishnaswamy, " Laser ultrasonic measurement of mechanical properties of nanometer-sized thin film structures.," Res. Nondestruct. Eval. 21, 1187-1192 (2002).
25. Y.-C. Lee and S.-W. Cheng, " Measuring Lamb wave dispersion curves of a bi-layered plate and its application on material characterization of coating.," IEEE Trans. Ultrason. Ferroelectr. Freq. Control 48, 830-837 (2001).
26. O. Behrend, A. Kulik, and G. Gremaud, " Characterization of thin films using numerical inversion of the generalized Lamb wave dispersion relation.," Appl. Phys. Lett. 62, 2787-2789 (1993).
27. M. J. Banet, M. Fuchs, J. A. Rogers, J. H. Reinhold, Jr., J. M. Knecht, M. Rothschild, R. Logan, A. A. Maznev, and K. A. Nelson, " High-precision film thickness determination using a laser-based ultrasonic technique.," Appl. Phys. Lett. 73, 169-171 (1998).
28. M. R. Karim, A. K. Mal, and Y. Bar-Cohen, " Inversion of leaky Lamb wave data by simplex algorithm.," J. Acoust. Soc. Am. 88, 482-491 (1990).
29. J. L. Deán, J. L. Fernández, A. F. Doval, and C. Trillo, " Measurement of Lamb waves dispersion curves under narrowband monomode excitation using TV holography.," Proc. SPIE 6341, 63410B (2006).
30. S. Kenderian, B. B. Djordjevic, and R. E. Green, " Narrow band laser-generated surface acoustic waves using a formed source in the ablative regime.," J. Acoust. Soc. Am. 113, 261-266 (2003).
31. C. Edwards, A. C. Bushell, S. B. Palmer, and H. Nakano, " Laser interference grating for surface wave generation.," Nondestr. Test. Eval. 10, 15-23 (1992).
32. J. Huang, S. Krishnaswamy, and J. D. Achenbach, " Laser generation of narrow-band surface waves.," J. Acoust. Soc. Am. 92, 2527-2531 (1992).
33. K. Yamanaka, O. V. Kolosov, Y. Nagata, T. Koda, H. Nishino, and Y. Tsukahara, " Analysis of excitation and coherent amplitude enhancement of surface acoustic waves by the phase velocity scanning method.," J. Appl. Phys. 74, 6511-6522 (1993).
34. J. A. Rogers and K. A. Nelson, " Study of Lamb acoustic waveguide modes in unsupported polyimide thin films using real-time impulsive stimulated thermal scattering.," J. Appl. Phys. 75, 1534-1556 (1994).
35. K. V. de Rostyne, C. Glorieux, W. Gao, W. Lauriks, and J. Thoen, " Experimental investigation of leaky Lamb modes by an optically induced grating.," IEEE Trans. Ultrason. Ferroelectr. Freq. Control 49, 1245-1253 (2002).
36. J. L. Rose, Ultrasonic Waves in Elastic Media (Cambridge University Press, Cambridge, 2000), pp. 200-240.
37. V. K. Kinra and V. R. Iyer, " Ultrasonic measurement of the thickness, phase velocity, density or attenuation of a thin-viscoelastic plate. Part I: the forward problem.," Ultrasonics 33, 95-109 (1995).
38. V. K. Kinra and V. R. Iyer, " Ultrasonic measurement of the thickness, phase velocity, density or attenuation of a thin-viscoelastic plate. Part II: the inverse problem.," Ultrasonics 33, 111-122 (1995).
39. M. Wan, B. Jiang, and W. Cao, " Direct measurement of ultrasonic velocity of thin elastic layers.," J. Acoust. Soc. Am. 101, 626-628 (1997).
40. A. F. Doval, " A systematic approach to TV holography.," Meas. Sci. Technol. 11, R1-R36 (2000).
41. C. Trillo, A. F. Doval, D. Cernadas, O. López, J. C. López, B. V. Dorrío, J. L. Fernández, and M. Ṕrez-Amor, " Measurement of the complex amplitude of transient surface acoustic waves using double-pulsed TV holography and a two-stage spatial Fourier transform method.," Meas. Sci. Technol. 14, 2127-2134 (2003).
42. C. Trillo, D. Cernadas, A. F. Doval, C. López, B. V. Dorrío, and J. L. Fernández, " Detection of transient surface acoustic waves of nanometric amplitude with double-pulsed TV holography.," Appl. Opt. 42, 1228-1235 (2003).
43. " ISO, Guide to the expression of uncertainty in measurement.," Geneva (1993).
44. W. H. Press, B. P. Flannery, S. A. Teukolsky, and W. T. Vetterling, Numerical Recipes in C (Cambridge University Press, Cambridge, 1988).