Micro-crack detection of nonlinear Lamb wave propagation in three-dimensional plates with mixed-frequency excitation

doi:10.1088/1674-1056/ab5931

Abstract We propose a nonlinear ultrasonic technique by using the mixed-frequency signals excited Lamb waves to conduct micro-crack detection in thin plate structures. Simulation models of three-dimensional (3D) aluminum plates and composite laminates are established by ABAQUS software, where the aluminum plate contains buried crack and composite laminates comprises cohesive element whose thickness is zero to simulate delamination damage. The interactions between the S₀ mode Lamb wave and the buried micro-cracks of various dimensions are simulated by using the finite element method. Fourier frequency spectrum analysis is applied to the received time domain signal and fundamental frequency amplitudes, and sum and difference frequencies are extracted and simulated. Simulation results indicate that nonlinear Lamb waves have different sensitivities to various crack sizes. There is a positive correlation among crack length, height, and sum and difference frequency amplitudes for an aluminum plate, with both amplitudes decreasing as crack thickness increased, i.e., nonlinear effect weakens as the micro-crack becomes thicker. The amplitudes of sum and difference frequency are positively correlated with the length and width of the zero-thickness cohesive element in the composite laminates. Furthermore, amplitude ratio change is investigated and it can be used as an effective tool to detect inner defects in thin 3D plates.

Keywords: nonlinear Lamb wave mixed-frequency micro-cracks amplitude ratio

Received: 20 October 2019
Revised: 17 November 2019
Accepted manuscript online:

PACS:	43.20.+g	(General linear acoustics)
	43.35.+d	(Ultrasonics, quantum acoustics, and physical effects of sound)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 61571222, 61602235, and 11474160) and the Six Talent Peaks Project of Jiangsu Province, China.

Corresponding Authors: Yi-Feng Li
E-mail: lyffz4637@163.com

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Wei-Guang Zhu(祝伟光), Yi-Feng Li(李义丰), Li-Qiang Guan(关立强), Xi-Li Wan(万夕里), Hui-Yang Yu(余辉洋), Xiao-Zhou Liu(刘晓宙) Micro-crack detection of nonlinear Lamb wave propagation in three-dimensional plates with mixed-frequency excitation 2020 Chin. Phys. B 29 014302

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Micro-crack detection of nonlinear Lamb wave propagation in three-dimensional plates with mixed-frequency excitation

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