Acta Mechanica Solida Sinica

, Volume 32, Issue 6, pp 767–784 | Cite as

Numerical Analysis of the Nonlinear Interactions Between Lamb Waves and Microcracks in Plate

  • Hongtao Lv
  • Jingpin JiaoEmail author
  • Bin Wu
  • Cunfu HeEmail author


In this paper, three-dimensional finite-element modeling is conducted to investigate the nonlinear interactions between Lamb waves and microcracks. The simulation research focuses on the influence of microcrack orientation on the propagation direction of generated sum-frequency Lamb waves. The simulation results show that the resonant conditions based on classical nonlinear theory are valid for such interactions, leading to the generation of transmitted and reflected sum-frequency S0 waves (SFSWs). Moreover, the propagation directions of these two SFSWs exhibit different trends with respect to the orientations of microcracks. The transmitted SFSW can be used to detect microcracks, whereas the reflected one can be used to measure their orientations.


Nonlinear ultrasonic Lamb wave mixing Resonant condition Microcrack Finite-element method 



This work was supported by the National Key Research and Development Program of China (Grant No. 2016YFF0203002) and National Natural Science Foundation of China (Grant Nos. 11572010, 11572011).


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Copyright information

© The Chinese Society of Theoretical and Applied Mechanics 2019

Authors and Affiliations

  1. 1.Department of Mechanical Engineering and Applied Electronics TechnologyBeijing University of TechnologyBeijingChina

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