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

doi:10.1088/1674-1056/ab5931

中国物理B ›› 2020, Vol. 29 ›› Issue (1): 14302-014302.doi: 10.1088/1674-1056/ab5931

• ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS • 上一篇下一篇

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

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)

1 College of Computer Science and Technology, Nanjing Tech University, Nanjing 211800, China;
2 Key Laboratory of Modern Acoustics, Ministry of Education, Nanjing University, Nanjing 210093, China;
3 Key Laboratory of Modern Acoustics, Ministry of Education, Institute of Acoustics and School of Physics, Nanjing University, Nanjing 210093, China

收稿日期:2019-10-20 修回日期:2019-11-17 出版日期:2020-01-05 发布日期:2020-01-05
通讯作者: Yi-Feng Li E-mail:lyffz4637@163.com
基金资助:
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.

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

Wei-Guang Zhu(祝伟光)¹, Yi-Feng Li(李义丰)^1,2, Li-Qiang Guan(关立强)¹, Xi-Li Wan(万夕里)¹, Hui-Yang Yu(余辉洋)¹, Xiao-Zhou Liu(刘晓宙)³

1 College of Computer Science and Technology, Nanjing Tech University, Nanjing 211800, China;
2 Key Laboratory of Modern Acoustics, Ministry of Education, Nanjing University, Nanjing 210093, China;
3 Key Laboratory of Modern Acoustics, Ministry of Education, Institute of Acoustics and School of Physics, Nanjing University, Nanjing 210093, China

Received:2019-10-20 Revised:2019-11-17 Online:2020-01-05 Published:2020-01-05
Contact: Yi-Feng Li E-mail:lyffz4637@163.com
Supported by:
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.

摘要/Abstract

摘要： 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.

关键词: nonlinear Lamb wave, mixed-frequency, micro-cracks, amplitude ratio

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.

Key words: nonlinear Lamb wave, mixed-frequency, micro-cracks, amplitude ratio

中图分类号: (General linear acoustics)

43.20.+g

43.35.+d (Ultrasonics, quantum acoustics, and physical effects of sound)

祝伟光, 李义丰, 关立强, 万夕里, 余辉洋, 刘晓宙. Micro-crack detection of nonlinear Lamb wave propagation in three-dimensional plates with mixed-frequency excitation[J]. 中国物理B, 2020, 29(1): 14302-014302.

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[J]. Chin. Phys. B, 2020, 29(1): 14302-014302.

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

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

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