تخمین دقیق طول ترک در ورق فولادی با ادغام شبیه سازی آباکوس و امواج صوتی آرایه فازی

This study investigates the estimation of crack lengths in steel plates using ABAQUS simulations and acoustic analysis through the Pressure of Reflection (PoR) and phased array techniques. An oblique crack at a 45-degree angle is defined in ABAQUS with a fine mesh of 0.002 for high-resolution results, employing the explicit library and the acoustic element family. Acoustic pressure data are extracted and averaged across selected nodes, focusing on significant readings. A pressure threshold of 0.003 Pa identifies high-amplitude readings, allowing extraction of timestamps for the first and last significant peaks. Crack length is estimated by calculating the time interval between these pressure points and multiplying it by the speed of longitudinal sound, derived from the material's bulk modulus and density.
Fast Fourier Transform (FFT) is used to convert time-domain pressure data into the frequency domain, identifying dominant frequencies for crack lengths ranging from 1 cm to 28 cm. Peak frequencies are plotted to illustrate their relationship with crack dimensions, highlighting the influence of crack size on acoustic responses. The comparison of actual and measured crack lengths yielded a Root Mean Square Error (RMSE) of 0.0797 and an average error of 1.1216%, indicating a high degree of accuracy. This research demonstrates the effectiveness of using PoR and phased array methods for optimal wave interactions with cracks, showcasing the potential of acoustic techniques in assessing structural integrity for non-destructive testing.