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

作　　者：Wei-Guang Zhu Yi-Feng Li Li-Qiang Guan Xi-Li Wan Hui-Yang Yu Xiao-Zhou Liu 祝伟光;李义丰;关立强;万夕里;余辉洋;刘晓宙(College of Computer Science and Technology,Nanjing Tech University,Nanjing 211800,China;Key Laboratory of Modern Acoustics,Ministry of Education,Nanjing University,Nanjing 210093,China;Key Laboratory of Modern Acoustics,Ministry of Education,Institute of Acoustics and School of Physics,Nanjing University,Nanjing 210093,China)

机构地区：[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

出　　处：《Chinese Physics B》2020年第1期336-345,共10页中国物理B（英文版）

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

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.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 

分 类 号：O426.9[理学—声学] O346.1[理学—物理]