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Diffraction of an antiplane shear (SH-) wave by an edge crack in a semi-infinite elastic medium is studied here. Asymptotic expansions for the scattered field both near and far from the crack are obtained for the case when the wavelength is large compared to the length of the crack. Near-field expansion is used to compute the dynamic stress-intensity factor at the tip of the crack. Also, the far-field expansion gives the scattered displacement amplitude, which is useful in ultrasonic nondestructive evaluation.
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S. K. Datta (1979) studied this question.
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