The scattering of elastic waves by a rectangular crack in a half-space of arbitrary aniso-tropy is considered. The scattering problem is formulated as a hypersingular integral equation for the crack-opening-displacement by means of the half-space Green's tensor, which is solved by expanding in a double series of Chebyshev functions. Models of transmitting and receiving transducers give a complete model of ultrasonic testing. A few numerical examples are given.
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