Rayleigh wave

An Asymptotic Model for the Far-Field of Rayleigh Wave in Multilayered Plate

Authors: Wilde M. V., Kossovich L. Y.

An asymptotic model is proposed, which allows to calculate farfield of Rayleigh wave in an infinite multilayered plate subjected to non-stationary surface load. The model is derived by using of the standard asymptotic techniques. As a result, a system of two onedimensional integro-differential equations (head system) is obtained, which describes the propagation of Rayleigh waves along the plate surfaces. For the decaying wave fields in layers the boundary problems for elliptic equations are obtained.

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

Authors: Ardazishvili R. V., Wilde M. V., Kossovich L. Y.

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.

Antisymmetric Higher Order Edge Waves in Plates

Authors: Wilde M. V., Kossovich L. Y.

This paper is concerned with the propagation of surface waves localized near the edge of plate (edge waves). Antisymmetric waves in a plate subject to traction free boundary conditions are considered. To study higher order edge waves three-dimensional equations of theory of elasticity are used. Asymptotic analysis is performed, which shows that there are an infinite spectrum of higher order edge waves. For the large values of wave number asymptotics of phase velocities are obtained.