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The Quarterly Journal of Mechanics and Applied Mathematics 2003 56(4):605-616; doi:10.1093/qjmam/56.4.605
© 2003 by Oxford University Press
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Existence and Uniqueness of Edge Waves in a Generally Anisotropic Elastic Plate

Y. B. Fu1

( 1 Department of Mathematics, Keele University, Staffordshire ST5 5BG )

We study flexural edge waves propagating along the edge of a semi-infinite, generally anisotropic elastic plate. It is assumed that the plate is described by the classical plate theory and its mid-plane is a plane of material symmetry. We define an edge-impedance matrix M({upsilon}) in terms of which the secular equation determining the edge-wave speed {upsilon} may be written as detM({upsilon}) = 0. Some properties of M({upsilon}) are established and are used to show that whenever an edge wave exists it is unique. A simple procedure is proposed that can be used to test the existence of edge waves and to compute the edge-wave speed.

Received 1 July 2002. Revised 10 February 2003.


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