 | | 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: | | 12854 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4810 |
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| << Previous article | Volume 38, Issue 4 / 2003 | Next article >> |
| R. L. Salganik, "Propagation of a Long Elastic Surface Wave between a Material and a Laminated Structure of Layers Working in Bending," Mech. Solids. 38 (4), 113-120 (2003) |
| Year |
2003 |
Volume |
38 |
Number |
4 |
Pages |
113-120 |
| Title |
Propagation of a Long Elastic Surface Wave between a Material and a Laminated Structure of Layers Working in Bending |
| Author(s) |
R. L. Salganik (Moscow) |
| Abstract |
We consider propagation of a long surface wave along the boundary of contact between a homogeneous isotropic elastic material and an elastic laminated structure the layers of which can slip on each other without friction and resist bending, the influence of loading along the layers on their deflection being negligibly small. This phenomenon is studied in continuous approximation. We obtain an equation for the dispersion law and show that a wave of this kind exists. Asymptotic relations are obtained for the dispersion law in two cases - for the wave close to a Rayleigh wave and for the wave substantially different from the Rayleigh wave. |
| References |
| 1. | L. M. Brekhovskikh and O. A. Godin, Acoustics of Laminated Media [in Russian], Nauka, Moscow, 1989. |
| 2. | I. M. Lifshits, "On heat-transfer properties of chain and laminated structures at low temperatures," Zh. Eksper. Teor. Fiz., Vol. 22, No. 4,
pp. 475-486, 1952. |
| 3. | G. Sonntag, "Die in Schichten gleicher Dicke reibungsfrei geschichtete Halbebene mit periodisch verteilter Randbelastung," Forsch.
Geb. Ingenieurwesens, Bd. 23, H. 1/1, S. 3-8, 1957. |
| 4. | R. L. Salganik, "Continuous approximation for the description of deformation of laminated structures," Izv. AN SSSR. MTT [Mechanics of Solids], No. 3, pp. 48-56, 1987. |
| 5. | R. L. Salganik, "Deformation of a rectilinear laminated
structure regarded as a continuous set of thin plates," Izv. AN SSSR. MTT [Mechanics of Solids], No. 6, pp. 25-33, 1988. |
| 6. | K. B. Ustinov, On the Construction of a Continuous Model of Laminated Elastic Materials. Preprint No. 644 [in Russian], Institute for Problems in Mechanics, Russian Academy of Sciences, Moscow, 1999. |
| 7. | K. B. Ustinov, "On the construction of a continuous model of laminated media," in Proceedings of the 8th All-Union Congress on Theoretical and Applied Mechanics [in Russian], pp. 570-571, Perm, 2001. |
| 8. | S. Prasad and J. Zabinskii, "Super slippery solids," Nature, Vol. 387, No. 6635, pp. 761-763, 1997. |
| 9. | L. D. Landau and E. M. Lifshits, Theoretical Physics. Volume 7.
Theory of Elasticity [in Russian], Nauka, Moscow, 1987. |
| 10. | G. S. Murty, "Wave propagation at an unbounded interface between two elastic half-spaces," J. Acoust. Soc. Amer., Vol. 58, No. 5,
pp. 1094-1095, 1975. |
|
| Received |
07 February 2002 |
| << Previous article | Volume 38, Issue 4 / 2003 | Next article >> |
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