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This paper describes a method of simulating the ultrasonic longitudinal wave (P-wave) propagation in titanium alloy. The two-dimensional geometric model of polycrystalline titanium alloy is established using the Voronoi algorithm. Then, the model was imported into COMSOL software for grid division and parameter setting. The continuous observation of P-wave propagation was realized after adding the physical field of sound pressure and the boundary condition. Further, the first and second transmitted P-wave obtained the ultrasonic attenuation spectrum (UAS). The inverse method determines the average grain size (AGS) by fitting the UAS. It was found that the AGS D ¯ = 47.5 μm of the titanium alloy was obtained by the least square fitting method, and the relative error between the inverse value of AGS and the set value in the model approached 5%.
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Zhao et al. (2024) studied this question.
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