Izvestiya of Saratov University.

Mathematics. Mechanics. Informatics

ISSN 1816-9791 (Print)
ISSN 2541-9005 (Online)

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Ardazishvili R. V., Wilde M. V., Kossovich L. Y. Edge Waves in Plates with Fixed Faces and Various Boundary Conditions on the Front Edge. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2015, vol. 15, iss. 2, pp. 187-192. DOI: 10.18500/1816-9791-2015-15-2-187-193, EDN: TXMFSH

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Edge Waves in Plates with Fixed Faces and Various Boundary Conditions on the Front Edge

Ardazishvili Roman Vyacheslavovich, Saratov State University
Wilde Maria Vladimirovna, Saratov State University
Kossovich Leonid Yurevich, Saratov State University

This paper is concerned with the propagation of surface waves in plates subject to free or mixed boundary conditions on the front edge. Symmetric and antisymmetric waves in plates with fixed faces are considered. Asymptotic analysis is performed, which shows that there is an infinite spectrum of higher order edge waves in plates. Asymptotics of phase velocity are obtained for large values of wave number. It is demonstrated that in the short-wave limit the phase velocity of all higher order edge waves tends to the velocity of Rayleigh wave or shear wave, depending on the boundary conditions on the front edge.

  1. Белубекян М. В. Поверхностные волны в упругих средах // Проблемы механики деформируемого твердого тела / Ин-т механики НАН Армении. Ереван, 1997. С. 79–96.
  2. Kaplunov J. D., Prikazchikov D. A., Rogerson G. A. On three dimesoinal edge waves in pre-stressed incompressible elastic solids // J. Acoust. Soc. Am. 2005. Vol. 118, № 5. P. 2975–2983. DOI:10.1121/1.2062487.
  3. Zernov V., Kaplunov J. D. Three-dimensional edge waves in plates // Proc. R. Soc. Lond. A. 2008. Vol. 464. P. 301–318.
  4. Вильде М. В., Каплунов Ю. Д., Коссович Л. Ю. Краевые и интерфейсные резонансные явления в упругих телах. М. : ФИЗМАТЛИТ, 2010. 280 с.
  5. Ардазишвили Р. В., Вильде М. В., Коссович Л. Ю. Антисимметричные кромочные волны высшего порядка в пластинах // Изв. Сарат. ун-та. Нов. сер. Сер. Математика. Механика. Информатика. 2013. Т. 13, вып. 1. С. 50–56.
  6. Ardazishvili R. V. Three-dimensional surface wave for mixed boundary conditions on the surface // Proceedings of Young Scientists School-Conference MECHANICS-2013. Tsakhkadzor, Armenia, 2013. P. 74–79.