Dispersion anomalies of shear horizontal guided waves in two- and three-layered plates

Journal of the Acoustical Society of America

Volumn 118, Issue 5, 2005, Pages 2850-2859

  Alshits, V I ^a   Deschamps, M ^b   Lyubimov, V N ^a  

^a SHUBNIKOV INSTITUTE OF CRYSTALLOGRAPHY   (Russian Federation)

^b UNIVERSITÉ DE BORDEAUX   (France)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; BOUNDARY VALUE PROBLEMS; DISPERSION (WAVES);

LAMB WAVES; SHEAR HORIZONTAL GUIDED WAVES; TRANSVERSE ISOTROPY; TWO-LAYERED PLATES;

SHEAR WAVES;

ACOUSTICS; ANISOTROPY; ARTICLE; ELASTICITY; MATERIALS; MATHEMATICAL ANALYSIS; MATHEMATICAL PARAMETERS; PRIORITY JOURNAL; SHEAR RATE; SOUND TRANSMISSION; VELOCITY;

EID: 27744507621     PISSN: 00014966     EISSN: None     Source Type: Journal    
DOI: 10.1121/1.2046807     Document Type: Article

References (34)

1. I. A. Viktorov, Rayleigh and Lamb Waves: Physical Theory and Applications (Plenum, New York, 1967).
2. L. M. Brekhovskikh, Waves in Layered Media (Academic, New York, 1980).
3. B. A. Auld, Acoustic Fields and Waves in Solids (Krieger, Malabar, FL, 1990).
4. A. H. Nayfeh, Wave Propagation in Layered Anisotropic Media (North-Holland, Amsterdam, 1995).
5. D. E. Chimenti, "Guided waves in plates and their use in materials characterization," Appl. Mech. Rev. 50, 247-284 (1997).
6. T. C. T. Ting and P. Chadwick, "Harmonic waves in periodically layered anisotropic composites," in Symposium of Wave Propagation in Structural Composites, edited by A. K. Mal and T. C. T. Ting (ASME, New York, 1988), Vol. 90, pp. 69-79.
7. A. H. Nayfeh, "The general problem of elastic wave propagation in multilayered anisotropic media," J. Acoust. Soc. Am. 89, 1521-1531 (1991).
8. A. Norris, "Low frequency wave propagation in periodically layered anisotropic elastic solids," in Modern Theory of Anisotropic Elasticity and Applications, edited by J. J. Wu, T. C. T. Ting, and D. M. Barnett (SIAM, Philadelphia, 1991), Chap. 17, pp. 255-262.
9. A. M. B. Braga and G. Herrmann, "Floquet waves in anisotropic periodically layered composites," J. Acoust. Soc. Am. 91, 1211-1227 (1992).
10. A. L. Shuvalov, "On the theory of wave propagation in anisotropic plates," Proc. R. Soc. London, Ser. A 456, 2197-2222 (2000).
11. n(k)," Wave Motion 37, 273-292 (2003).
12. A. L. Shuvalov, O. Poncelet, and M. Deschamps, "General formalism for plane guided waves in transversely inhomogeneous anisotropic plates," Wave Motion 40, 413-426 (2004).
13. V. I. Alshits and G. A. Maugin, "Dynamics of multilayers: Elastic waves in an anisotropic graded or stratified plate," Wave Motion 41, 357-394 (2005).
14. R. D. Mindlin, "Waves and vibrations in isotropic, elastic plates," in Structural Mechanics, edited by J. N. Goodier and N. Hoff (Pergamon, New York, 1960), pp. 199-232.
15. V. I. Alshits, J. Lothe, and V. N. Lyubimov, "Surface and exceptional body elastic waves in a plate of a hexagonal crystal," Sov. Phys. Crystallogr. 28, 378-380 (1983).
16. G. A. Maugin, "Elastic surface waves with transverse horizontal polarization," Adv. Appl. Mech. 23, 373-434 (1983).
17. V. I. Alshits and V. N. Lyubimov, "Anomalous dispersion of surface elastic waves in an anisotropic plate," Sov. Phys. Crystallogr. 33, 163-166 (1988).
18. S. I. Rokhlin and Y. J. Wang, "Equivalent boundary conditions for thin orthotropic layer between two solids: Reflection, refraction, and interface waves," J. Acoust. Soc. Am. 91, 1875-1887 (1992).
19. A. Freedman, "The variation, with the Poisson ratio, of Lamb modes in a free plate," J. Sound Vib. 137, 209-266 (1990).
20. Q. Zhu and W. G. Mayer, "On the crossing points of Lamb wave velocity dispersion curves," J. Acoust. Soc. Am. 93, 1893-1895 (1993).
21. A. Freedman, "Comment on 'On the crossing points of Lamb wave velocity dispersion curves' [J. Acoust. Soc. Am. 93, 1893-1895 (1993)],"
22. J. Acoust. Soc. Am. 98, 2363-2364 (1995).
23. V. I. Alshits, W. Gierulski, V. N. Lyubimov, and A. Radowicz, "Resonance excitation of quasi-Rayleigh waves in plates on soft or hard substrates," Crystallogr. Rep. 42, 20-27 (1997).
24. V. I. Alshits, V. N. Lyubimov, and A. Radowicz, "Quasi-Rayleigh waves in sandwich structures: Dispersion equation, eigenmodes, and resonance reflection," Crystallogr. Rep. 45, 457-465 (2000).
25. V. I. Alshits and V. N. Lyubimov, "Anomalous dispersion of SH acoustic waves in a piezoelectric sandwich structure," Phys. Solid State 45, 832-835 (2003).
26. M. Castaings and B. Hosten, "Transfer matrix of multilayered absorbing and anisotropic media. Measurements and simulations of ultrasonic wave propagation through composite materials," J. Acoust. Soc. Am. 94, 1488-1495 (1993).
27. M. J. S. Lowe, "Matrix techniques for modeling ultrasonic waves in multilayered media," IEEE Trans. Ultrason. Ferroelectr. Freq. Control 42, 525-542 (1995).
28. L. Wang and S. I. Rokhlin, "Stable reformulation of transfer matrix method for wave propagation in layered anisotropic media," Ultrasonics 39, 413-424 (2001).
29. E. R. Green, "Channelling of high-frequency elastic waves in laminated plates," Wave Motion 35, 247-255 (2002).
30. B. A. Auld, D. E. Chimenti, and P. J. Shull, "Shear horizontal wave propagation in periodically layered composites," IEEE Trans. Ultrason. Ferroelectr. Freq. Control 43, 319-325 (1996).
31. A. N. Stroh, "Steady state problems in anisotropic elasticity," J. Math. Phys. 41, 77-103 (1962).
32. V. I. Alshits and J. Lothe, "Comments on the relation between surface wave theory and the theory of reflection," Wave Motion 3, 297-310 (1981).
33. V. N. Lyubimov and V. I. Alshits, "Brewster reflections of elastic waves in hexagonal crystals," Sov. Phys. Crystallogr. 27, 512-516 (1982).
34. E. V. Nolde, L. A. Prikazchikova, and G. A. Rogerson, "Dispersion of small amplitude waves in a pre-stressed, compressible elastic plate," J. Elast. 75, 1-29 (2004).