Geodesic
Edge waves in plates with fixed faces and various boundary conditions on~the front edge
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 15 (2015) no. 2, pp. 187-193

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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. 
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     author = {R. V. Ardazishvili and M. V. Wilde and L. Yu. Kossovich},
     title = {Edge waves in plates with fixed faces and various boundary conditions on~the front edge},
     journal = {Izvestiya of Saratov University. Mathematics. Mechanics. Informatics},
     pages = {187--193},
     publisher = {mathdoc},
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     number = {2},
     year = {2015},
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     url = {http://geodesic.mathdoc.fr/item/ISU_2015_15_2_a8/}
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R. V. Ardazishvili; M. V. Wilde; L. Yu. Kossovich. Edge waves in plates with fixed faces and various boundary conditions on~the front edge. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 15 (2015) no. 2, pp. 187-193. http://geodesic.mathdoc.fr/item/ISU_2015_15_2_a8/