Geodesic
Tridimensional waves at the interface of two elastic media on contact without friction
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 3 (2016), pp. 79-83.

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The question of presence of Stoneley’s surface waves in three-dimensional statement is considered. Conditions are given at the interface of two half-space corresponding to the contact of two half-space without friction. The investi- gated problems are simplified by the introduction of potential function with analogue of the plane deformation problems. The characteristic equation is obtained concerning the phase speed of the surface wave, for which the special cases are considered.
Keywords: surface wave, boundary conditions, contact without friction. 
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S. V. Sarkisyan. Tridimensional waves at the interface of two elastic media on contact without friction. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 3 (2016), pp. 79-83. http://geodesic.mathdoc.fr/item/UZERU_2016_3_a13/

[1] R. Stoneley, “Elastic Waves on the Surface of Separition of Two Solids”, Proccedings of the Royal Society, S.A., 106:A73 (1924), 416–428 | DOI

[2] V.G. Gogoladze, “Reflection and Refraction of Elastic Waves. The General Theory of Boundary Waves”, Proceedings of the Seismological Institute of the Academy of Siences of the USSR, 1947, no. 125, 1–48 (in Russian) | MR

[3] L. Cagniard, Reflection and Refraction of Progressive Seismic Waves, Mc-GrawHill, NY, 1962, 281 pp.

[4] J.D. Achenbach, H.J. Epstein, “Dynamic Interaction of a Layer and a Half-Space”, Proc. Amer. Soc. Civil Eng. Mech. J. Eng. Mech., 93:5 (1967), 27–42

[5] V.T. Grichenko, V.V. Meleshko, Harmonic Waves in Elastic Bodies, Naukova Dumka, Kiev, 1981, 283 pp. (in Russian)

[6] J. Miklowitž, The Theory of Elastic Waves and Waveguides, North-Holland, Amsterdam–NY–Oxford, 1984, 618 pp. | MR

[7] M.V. Belubekyan, “On the Stounly Waves Existence Condition under the Slider Contact”, Proceedings of National Academy of Sciences of Armenia. Mechanics, 43:4 (1990), 52–56 (in Russian)

[8] M.V. Belubekyan, “Surface Waves in Elastic Media”, The Problems of Mechanics of Deformable Solids, Collection of Articles, Inst. of Mechanics of NAS RA, Yer., 1997, 79–100

[9] S.A. Ambartsumian, M.V. Belubekyan, K.B. Kazarian, “Magnetoelastic Surface Waves at the Interface of Conductive Media”, Mezhvuz. Sbornik Nauch. Tr., 4, YSU Press, Yer., 1986, 5–10 (in Russian)

[10] V.M. Belubekyan, M.V. Belubekyan, “Three-Dimensional Problem of Reyleight Wave Propagation”, Reports of NAS RA, 105:4 (2005), 362–369 (in Russian)

[11] J.K. Knowles, “A Note on Surface Waves”, J. of Geophysical Research, 21:22 (1966), 5480–5481 | DOI

[12] S.V. Sargsyan, A.V. Melkonyan, “On Three-Dimensional Problem of Wave Propagation Stoneley”, The Problems of Mechanics of Deformable Solids, Collection of Articles Dedicated to the 90th Anniversary of Academician Ambartsumian S.A., Inst. of Mechanics of NAS RA, Yer., 2012, 245–249 (in Russian)

[13] S.V. Sargsyan, A.V. Melkonyan, “Three-Dimensional Problem of Wave Propagation Stoneley”, Proceedings of International Conference “Topical Problems of Continuum Mechanics”, Dedicated to the 100th Anniversary of Academician N. Kh. Arutyunyan, v. 2, Yer., 2012, 273–276 (in Russian)

[14] V. Nowatckii, Theory of Elasticity, Mir, M., 1975, 872 pp. (in Russian) | MR