Abstract
The reflection of a free-surface Rayleigh wave from the edge of a half-plane crack in an unbounded isotropic elastic solid is considered. The time-harmonic surface wave, propagating on one face of the crack, is obliquely incident on the edge so that the problem is three-dimensional. Application of a displacement representation theorem reduces solution of the problem to solution of an integral equation, which is solved by application of Laplace transform methods and the Wiener-Hopf technique. The transformed displacement has a simple pole corresponding to the reflected surface waves, and the residues are determined. The amplitudes and phases of the reflected surface waves on both faces of the crack have been calculated numerically, and are plotted as functions of the angle of incidence. Energies of the reflected waves are also shown in graphs.
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