Abstract:When the circumferential scanning for thickwalled pipe is carried out with ultrasonic time of flight diffraction (TOFD), the ray path of lateral wave is inconsistent with the curved surface, which leads to the quantitative errors of length and angle for inclined cracks. To achieve deep crack detection, the probe center spacing (PCS) may be increased, which further increases the measurement errors. In this paper, considering the geometrical relationship among the curvature radius of pipe outer wall, PCS and crack tip depth, the accurate quantification study of the inclined cracks in thickwalled pipes is conducted. The quantitative formulas for the crack length and inclined angle are deduced for the detection of thickwalled pipes with circumferential scanning of TOFD, and the measurement errors before and after optimization are compared. The simulation results show that the quantitative errors of crack length and inclined angle are reduced by 010 mm and 158°, respectively for the crack with crack length of 40 mm and inclined angle of 10°~50° in the carbon steel pipe with wall thickness of 300 mm and curvature radius of outer wall of 1480 mm. Experiment on a carbon steel pipe specimen was conducted. In the experiment, the quantitative errors of crack length and inclined angle are reduced from 030 mm and 274° down to 027 mm and 028°, respectively for the crack with crack length of 40 mm and inclined angle of 30°. The proposed method is suitable for the quantitative detection of inclined cracks in pipes with different curvature radii, and has wide application fields.