Abstract
Numerical simulations on the propagation of bulk waves in elastic solids with randomly distributed micro-cracks by the one-way collinear mixing method are performed to investigate the behavior of the resonant wave. The results show that the resonant wave can be generated due to the effect of micro-cracks, and the position and the size of micro-crack zone can be detected by the time signal of the resonant wave. Based on statistical analysis from numerous results of random micro-crack models, we find that the acoustic nonlinear parameter increases linearly with the micro-crack density and the size of micro-crack zone, which is also related to the frequency of resonant wave and friction coefficient of micro-crack surfaces. This study numerically reveals that the one way mixing method can be employed to quantitatively identify and characterize micro-cracks in elastic solids.
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