Scattering of an incident grazing longitudinal ultrasonic wave pulse by a traction-free ribbon-typecrack in solid is theoretically analyzed.An exact series solution of the scattered field is obtained byiteration.Each term of the series corresponds roughly to one of the rescattering processes by the respectivecrack tips.The first two terms,which combine to form the second order approximate solution,are dis-cussed in detail.This 2nd-order solution includes scattered cylindrical longitudinal waves,cylindricalshear waves,head waves and surface waves on the crack surfaces,and it gives good description of theearly-time wave field.
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