 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 11223 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8011
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| In English (Mech. Solids): | | 3212 |
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| D. D. Zakharov, "Flexural edge waves in laminated anisotropic media," Mech. Solids. 41 (2), 26-35 (2006) |
| Year |
2006 |
Volume |
41 |
Number |
2 |
Pages |
26-35 |
| Title |
Flexural edge waves in laminated anisotropic media |
| Author(s) |
D. D. Zakharov (Moscow) |
| Abstract |
Rayleigh-type flexural waves localized near the edge of a thin
anisotropic laminate (plate) are studied. General-type anisotropy of
the layers is allowed for, with symmetric or non-symmetric laminate
structure across its thickness. For both types of the laminate structure,
oscillatory decay of propagating waves is observed. It is shown
that for a symmetrically structured laminate, the power flux can
change in sign and standing waves can appear for some particular
anisotropy types. The reason for which the Leontovich-Lighthill
theorem does not hold is discussed. |
| References |
| 1. | Yu. K. Konenkov, "On the Rayleigh
type bending wave," Akust. Zh., Vol. 6, pp. 124-126, 1960. |
| 2. | A. S. Zilbergleit and I. B. Suslova, "Contact bending waves in thin
plates," Akust. Zh., Vol. 29, No. 2, pp. 186-191, 1983. |
| 3. | M. V. Belubekyan and I. A. Engibaryan, "Waves localized
along the free edge of a plate with cubic symmetry," Izv. AN. MTT [Mechanics of Solids], No. 6,
pp. 139-143, 1996. |
| 4. | P. Chadwick and G. D. Smith, "Foundations of the theory of
surface waves in anisotropic elastic materials," In: Advances in
Appl. Mechanics, Vol. 17, pp. 303-376, Academic Press, New York,
1977. |
| 5. | A. N. Norris, "Flexural edge waves," J. Sound and Vibration,
Vol. 174, No. 4, pp. 571-573, 1994. |
| 6. | D. D. Zakharov and W. Becker, "Rayleigh type bending waves
in anisotropic media," J. Sound and Vibration, Vol. 261, No. 5,
pp. 805-818, 2003. |
| 7. | I. Thompson, I. D. Abrahams, and A. N. Norris, "On the
existence of flexural edge waves on thin orthotropic plates," J.
Acoust. Soc. Am., Vol. 112, pp. 1756-1765, 2002. |
| 8. | Y. B. Fu, "Existence and uniqueness of edge waves in a
generally anisotropic elastic plate," Q. J. Mech. Appl. Math.,
Vol. 56, pp. 605-616, 2003. |
| 9. | D. D. Zakharov, "Analysis of the acoustical edge flexural
mode in a plate using refined asymptotics," J. Acoust. Soc. Am.,
Vol. 116, pp. 872-878, 2004. |
| 10. | D. D. Zakharov, "Two-dimensional dynamic equations of a
thin asymmetrically laminated generally anisotropic elastic plate,"
Doklady RAN, Vol. 336, No. 5, pp. 378-380, 1994. |
| 11. | S. G. Lekhnitskii, Anisotropic Plates [in Russian],
Gostekhizdat, Moscow, 1957. |
| 12. | D. D. Zakharov and W. Becker, "2D problems of thin
asymmetric laminates," ZAMP, Vol. 51, No. 4, pp. 49-66, 2000. |
| 13. | D. D. Zakharov, "Statement of the boundary-value static
problems for thin asymmetrically laminated anisotropic plates and
their solution using the functions of a complex variable," PMM [Applied Mathematics and Mechanics],
No. 59, No. 4, pp. 615-623, 1995. |
| 14. | D. D. Zakharov, "Generalized orthogonality relations for the
eigenfunctions in three-dimensional problems of elastic layer
dynamics," Izv. AN SSSR. MTT [Mechanics of Solids], No. 6, pp. 62-68, 1988. |
|
| Received |
12 March 2003 |
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