Forced wave propagation and energy distribution in anisotropic laminate composites

Journal of the Acoustical Society of America

Volumn 129, Issue 5, 2011, Pages 2923-2934

  Glushkov, Evgeny ^a   Glushkova, Natalia ^a   Eremin, Artem ^a  

^a KUBAN STATE UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPIC LAMINATES; ASYMPTOTIC EXPRESSIONS; COMPUTER IMPLEMENTATIONS; DIRECTIVITY; ELASTODYNAMIC RESPONSE; ENERGY DISTRIBUTIONS; FAR-FIELD; GREEN MATRICES; GREEN'S MATRICES; INTEGRAL REPRESENTATION; MODAL EXPANSION; RADIATED WAVES; SERIES EXPANSION; SOURCE SIZES; STABLE ALGORITHMS;

STRUCTURE (COMPOSITION); WAVE PROPAGATION;

ANISOTROPY;

EID: 79959575321     PISSN: 00014966     EISSN: None     Source Type: Journal    
DOI: 10.1121/1.3559699     Document Type: Article

References (31)

1. W. T. Thomson, Transmission of elastic waves through a stratified solid medium., J. Appl. Phys. 21, 89-93 (1950).
2. N. A. Haskell, The dispersion of surface waves on multilayered media., Bull. Seismol. Soc. Am. 43, 17-34 (1953).
3. G. I. Petrashen, Propagation of elastic waves in layered isotropic media divided by parallel planes., Uchenye Zapiski Leningradskogo Gosuniversiteta 162, 3-189 (1952) (in Russian).
4. A. H. Nayfeh, The general problem of elastic wave propagation in multilayered anisotropic media., J. Acoust. Soc. Am. 89 (4), 1521-1531 (1991).
5. J. J. Ditri and J. L. Rose, Excitation of guided waves in generally anisotropic layers using finite sources., J. Appl. Mech. 61, 330-338 (1994).
6. M. J. S. Lowe, Matrix techniques for modeling ultrasonic waves in multilayered media., IEEE Trans. Ultrason. Ferroelectr. Freq. Control. 42 (4), 525-542 (1995).
7. E. Moulin, J. Assaad, C. Delebarre, and D. Osmont, Modeling of Lamb waves generated by integrated transducers in composite plates using a coupled finite element-normal modes expansion method., J. Acoust. Soc. Am. 107 (1), 87-94 (2000). (Pubitemid 30039137)
8. L. Wang and F. G. Yuan, Group velocity and characteristic wave curves of Lamb waves in composites: Modeling and experiments., Compos. Sci. Technol. 67 (8), 1370-1384 (2007). (Pubitemid 46381378)
9. K. Balasubramaniam and C. V. Krishnamurthy, Ultrasonic guided wave energy behavior in laminated anisotropic plates., J. Sound Vib. 296, 968-978 (2006). (Pubitemid 44067053)
10. S. I. Rokhlin and L. Wang, Ultrasonic waves in layered anisotropic media: characterization of multidirectional composites., Int. J. Solids Struct. 39, 5529-5545 (2002). (Pubitemid 35326733)
11. A. Velichko and P. D. Wilcox, Modelling the excitation of guided waves in generally anisotropic multi-layered media., J. Acoust. Soc. Am. 121, 60-69 (2007). (Pubitemid 46102754)
12. B. A. Auld, Acoustic Fields and Waves in Solids (Wiley, New York, 1973), Vol. 1, Chap., pp. 191-235.
13. A. Raghavan and C. E. S. Cesnik, Review of guided-wave structural health monitoring., Shock Vib. Dig. 39 (2), 91-114 (2007). (Pubitemid 46279201)
14. A. V. Sveshnikov, The limit absorption principle for a waveguide., Dokl. Akad. Nauk SSSR Sov. Phys. Dokl. 80 (3), 345-347 (1951) (in Russian).
15. I. Tolstoy and E. Usdin, Wave propagation in elastic plates: Low and high mode dispersion., J. Acoust. Soc. Am. 29, 37-42 (1957).
16. C. Prada, D. Clorennec, T. W. Murray, and D. Royer, Influence of the anisotropy on zero-group velocity Lamb modes., J. Acoust. Soc. Am. 126 (2) 620-625 (2009).
17. E. Glushkov, N. Glushkova, M. Golub, and A. Bostrm, Natural resonance frequencies, wave blocking, and energy localization in an elastic half-space and waveguide with a crack., J. Acoust. Soc. Am. 119 (6), 3589-3598 (2006). (Pubitemid 43886334)
18. S. Banerjee, W. Prosser, and A. Mal, Calculation of the response of a composite plate to localized dynamic surface loads using a new wave number integral method., ASME J. Appl. Mech. 72 (1), 18-24 (2005). (Pubitemid 40308591)
19. E. Moulin, S. Grondel, M. Baouahi, and J. Assaad, Pseudo-3D modeling of a surface-bonded Lamb wave source., J. Acoust. Soc. Am. 119, 2575-2578 (2006).
20. H. Bateman and A. Erdélyi, Higher transcendental functions, II (McGraw-Hill, New York, Inc., 1953);
21. Translated into Russian: (Nauka, Moscow, 1966), Chap., Sec. 7.3.1, Eq. 2.
22. V. A. Babeshko, E. V. Glushkov, and N. V. Glushkova, Methods of constructing Green's matrix of a stratified elastic half-space., USSR Comput. Math. Math. Phys. 27 (1), 60-65 (1987).
23. Ye. V. Glushkov, N. V. Glushkova, A. A. Yeremin, and V. V. Mikhas'kiv, The layered element method in the dynamic theory of elasticity., J. Appl. Math. Mech. 73, 449-456 (2009).
24. H. Schmidt and G. Tango, Efficient global matrix appraoch to the computation of synthetic seismograms., Geophys. J. R. Astron. Soc. 84, 331-359 (1986).
25. A. N. Stroh, Steady state problems in anisotropic elasticity., J. Math. Phys. 41, 77-103 (1962).
26. N. A. Umov, The equations of motion of the energy in bodies in Russian, Odessa (1874), in: Selected works (State Publishers of Technical-Theoretical Literature (GITTL), Moscow-Leningrad, 1950); as cited by
27. O.A. Godin, J. Acoust. Soc. Am. 125 (4) (2009), and by
28. A.P. Kiselev, J. Math. Sci. 19 (4), 1372-1375.
29. B. Chapuis, N. Terrien, and D. Royer, Excitation and focusing of Lamb waves in a multilayeredanisotropic plate., J. Acoust. Soc. Am. 127 (1), 198-203 (2010).
30. R. Lammering, A. A. Eremin, E. V. Glushkov, N. V. Glushkova, M. N. Neumann, and B. Hennings, Experimentelle und numerische Untersuchungen zur Ausbreitung von Lambwellen in dunnen Platten., 17 Workshop Physikalische Akustik (Bad Honnef, Germany), 21-22 October 2010.
31. E. Glushkov, N. Glushkova, O. Kvasha and W. Seemann, Integral equation based modeling of the interaction between piezoelectric patch actuators and an elastic substrate., Smart Mater. Struct. 16, 650-664 (2007). (Pubitemid 46804834)