Abstract
In the present paper three-dimensional problem of propagation of elastic waves in a waveguide is considered, when several different boundary conditions are realized on the surfaces of the waveguide. We then establish the conditions where surface waves are permissible.
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References
Love, A.: Mathematical theory of elasticity, 676p (Russian translation). Moscow ONTI (1935)
Meleshko, V.V., Bondarenko, A.A., Dolgiy, S., van Heist, G.J.F.: Elastic waveguides: history and the state of the art. Pidstryhach Institute of Applied Problems of Mechanics and Mathematics. Math. Methods Phys.-Mech. Fields (L’viv) 51(2), 86–104 (2008). (In Russian)
Belubekyan, V.M., Belubekyan, M.V.: Three-dimensional problem of Rayleight wave propagation. Rep. Armenian NAS 105(4), 362–369 (2005). (In Russian)
Ardazishvili, R.V.: Three-dimensional surface wave for mixed boundary conditions on the surface. In: College of “Mechanics”, Yerevan State University publications, pp. 74–78 (2013) (In Russian)
Sarkisyan, S.V.: Three-dimensional problem of waves propagation in half-space with an elastically restrained boundary. In: Proceedings of Armenian National Sc. Academy, Mechanics, vol. 70, No. 2, pp. 74–83 (2017) (In Russian)
Belubekyan, V.M., Mheryan, D.H.: Three-dimensional problem of the surface waves propagation in transversely isotropic elastic medium. In: Proceedings of Armenian National Sc. Academy, Mechanics, vol. 59, No. 2, pp. 3–9 (2006) (In Russian)
Belubekyan, M.V., Mheryan, D.H.: Three dimensional problem of surface wave propagation in elastic half-space with the properties of cube symmetry. In: Proceedings of Armenian National Sc. Academy, Mechanics, vol. 61, No. 1, pp. 23–29 (2008) (In Russian)
Sarkisyan, S.V., Melkonyan, A.V.: On the three-dimensional problem of Stoneley wave propagation. In: Problems of Deformable Solid Body, pp. 245–249. Institute of Mechanics of Armenian National Sc., Academy (2012) (In Russian)
Nowacki, W.: Theory of Elasticity, 872p (Russian translation). Mir publishers, Moscow (1975)
Knowles, L.K.: A note on surface waves. J. Geophys. Res. 21(22), 5480–5481 (1966)
Aghalovyan, L.A., Gevorgyan, R.S.: Non classical boundary-value problems of anisotropic layered beams, Plates and Shells. In: Publishing House of the National Academy of Sciences of Armenia, 468p. Yerevan (2005) (In Russian)
Agalovyan, L.A.: Asymptotic Theory of Anisotropic Plates and Shells, 360p. New Jersey, Singapore (2015)
Belubekyan, M.V.: On the condition planar localized vibrations appearance in the vicinity of the free edge of a thin rectangular plate. Proc. YSU 51(1), 42–45 (2017)
Vardanov, A.H.: Solution of a problem of natural oscillations of a finite plate with fastened base and method of Levinson. In: Proceedings of Armenian NAS, Mechanics, vol. 63, No. 4, pp. 23–30 (2010)
Belubekyan, M.V., Sargsyan, S.V.: Three-dimensional problem of Rayleigh waves in a half-space with restrained boundary. In: ZAMM, pp. 1623–1631 (2018)
Sumbatyan, M.A., Scalia, A.: Foundations of Diffraction with Applications to Mechanics and Acoustics, 328p. Fizmatlit publishers, Moscow (2013)
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Belubekyan, M.V., Belubekyan, V.M. (2019). Three-Dimensional Problems of Harmonic Wave Propagation in an Elastic Layer. In: Sumbatyan, M. (eds) Wave Dynamics, Mechanics and Physics of Microstructured Metamaterials. Advanced Structured Materials, vol 109. Springer, Cham. https://doi.org/10.1007/978-3-030-17470-5_9
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DOI: https://doi.org/10.1007/978-3-030-17470-5_9
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