Article Article
Nonlinear Properties Analysis of Metallic Fatigue Damage Process Based on the Combined Nonlinear Parameter

To effectively extract the nonlinear properties of fatigue crack extension and evaluate the fatigue damage of metallic specimens, the chaos and fractal theory is applied to analyze the nonlinear output signal in a nonlinear ultrasonic experiment. A combined nonlinear parameter using the Lyapunov exponent, Kolmogorov entropy, and correlation dimension is proposed to evaluate the nonlinearity of fatigue damage. The nonlinear ultrasonic experiment is carried out on specimens with different stages of fatigue life, wherein the ultrasonic nonlinear output signal is collected and its combined nonlinear parameters are calculated. With the increase of fatigue damage in metallic specimens, the combined nonlinear parameter increases monotonically and tends to become saturated when a macroscopic crack appears, which indicates that complexity and randomness gradually increase during the accumulation of fatigue damage. According to microcrack propagation, the combined nonlinear parameter is very sensitive to the evolution of fatigue damage in metallic specimens, especially earlier fatigue damage. The relationship between the combined nonlinear parameter and the fatigue damage of specimens is established, which can provide an effective analytical method for evaluating fatigue damage and predicting the service life of specimens.

DOI: https://doi.org/10.32548/2021.me-04159

References

Chen, T.-L., P.-W. Que, Q. Zhang, and Q.-K. Liu, 2005, “Ultrasonic Signal Identification by Empirical Mode Decomposition and Hilbert Transform,” Review of Scientific Instruments, Vol. 76, No. 8, https://doi.org/10.1063 /1.2006367

Cohen, M.E., and D.L. Hudson, 1999, “Chaos Time Series Analysis,” Wiley Encyclopedia of Electrical and Electronics Engineering, https://doi.org /10.1002/047134608X.W2469

Foong, C.-H., E. Pavlovskaia, M. Wiercigroch, and W.F. Deans, 2003, “Chaos Caused by Fatigue Crack Growth,” Chaos, Solitons & Fractals, Vol. 16, No. 5, pp. 651–659, https://doi.org/10.1016/S0960-0779(02)00449-6

Hu, Y., and T. Chen, 2013, “Phase-Space Reconstruction Technology of Chaotic Attractor Based on C-C Method: Phase-Space Reconstruction Technology of Chaotic Attractor Based on C-C Method,” Journal of Electronic Measurement and Instrument, Vol. 26, pp. 425–430, https://doi.org /10.3724/SP.J.1187.2012.00425

Kim, J.-Y., L.J. Jacobs, and J. Qu, 2006, “Experimental Characterization of Fatigue Damage in a Nickel-Base Superalloy Using Nonlinear Ultrasonic Waves,” The Journal of the Acoustical Society of America, Vol. 120, No. 3, https://doi.org/10.1121/1.2221557

Lee, T.H., and K.Y. Jhang, 2009, “Experimental Investigation of Nonlinear Acoustic Effect at Crack,” NDT & E International, Vol. 42, No. 8, pp. 757–764, https://doi.org/10.1016/j.ndteint.2009.07.004

Lv, J., J. Lu, and S. Zhang, 2006, Chaotic Time Series Analysis and Its Application, Wuhan University Press, Wuhan, China (in Chinese)

Mao, H., Y. Zhang, H. Mao, and Z. Huang, 2016, “Chaotic Characteristics Analysis of Simulation Signal of Second Harmonic Generation Effect,” Proceeding of the 2016 International Conference on Advanced Electronic Science and Technology (AEST 2016), pp. 362–367, https://doi.org/10.2991/aest-16.2016.47

Matlack, K.H., H.A. Bradley, S. Thiele, J.-Y. Kim, J.J. Wall, H.J. Jung, J. Qu, and L.J. Jacobs, 2015, “Nonlinear Ultrasonic Characterization of Precipitation in 17-4PH Stainless Steel,” NDT & E International, Vol. 71, pp. 8–15, https://doi.org/10.1016/j.ndteint.2014.11.001

Nussbaumer, H.J., 1981, Fast Fourier Transform and Convolution Algorithms, Springer-Verlag Berlin Heidelberg, https://doi.org/10.1007 /978-3-662-00551-4

Schouten, J.C., F. Takens, and C.M. van den Bleek, 1994, “Maximum-Likelihood Estimation of the Entropy of an Attractor,” Physical Review E, Vol. 49, No. 1, pp. 126–129, https://doi.org/10.1103/PhysRevE.49.126

Seggie, D.A., J.C. Hoddinott, S. Leeman, and E.T. Costa, 1987, “Mapping Ultrasound Pulse-Echo Non-stationarity,” Proceedings SPIE 0768, Pattern Recognition and Acoustical Imaging, https://doi.org/10.1117/12.940273

Shah, A.A., Y. Ribakov, and Ch. Zhang, 2013, “Efficiency and Sensitivity of Linear and Non-linear Ultrasonics to Identifying Micro and Macro-Scale Defects in Concrete,” Materials & Design, Vol. 50, pp. 905–916, https://doi.org/10.1016/j.matdes.2013.03.079

Shayegh, F., S. Sadri, R. Amirfattahi, and K. Ansari-Asl, 2014, “A Model-Based Method for Computation of Correlation Dimension, Lyapunov Exponents and Synchronization from Depth-EEG Signals,” Computer Methods and Programs in Biomedicine, Vol. 113, No. 1, pp. 323–337, https://doi.org/10.1016/j.cmpb.2013.08.014

Shui, G., Y.-S. Wang, and F. Gong, 2013, “Evaluation of Plastic Damage for Metallic Materials Under Tensile Load Using Nonlinear Longitudinal Waves,” NDT & E International, Vol. 55, pp. 1–8, https://doi.org/10.1016 /j.ndteint.2013.01.001

Sun, Z.-Q., C.-Z. Chen, Y.-L. Gu, and H. Liu, 2013, “Incipient Fault Diagnosis of Large Scale Wind Turbine Gearbox Based on Chaos Theory and Sampling Integral Technology,” Journal of Vibration and Shock, Vol. 32, No. 9, pp. 113–117

Takuma, M., N. Shinke, T. Nishiura, and K. Akamatu, 2006, “Acoustic Emission Evaluation Systems of Tool Life for Shearing of Piano and Stainless Steel Wires,” Journal of Acoustic Emission, Vol. 24, pp. 52–66

Wan, C., T. Gang, and B. Liu, 2015, “Nonlinear Ultrasonic Evaluation of Fatigue Life of Aluminum Alloy Welded Joint Based on Pulse-Inversion Technique,” Transactions of The China Welding Institution, No. 2, pp. 27–30

Wang, L., Z. Wang, W. Xie, and X. Song, 2012, “Fractal Study on Collective Evolution of Short Fatigue Cracks Under Complex Stress Conditions,” International Journal of Fatigue, Vol. 45, pp. 1–7, https://doi.org/10.1016 /j.ijfatigue.2012.06.019

Wang, L., Z. Wang, X. Song, K. Wang, and Z. Zhao, 2011, “Study on Behavior of Surface Short Cracks for Low Cycle at High Temperature and Complex Stress State Based on Fractal Theory,” Journal of Mechanical Engineering, Vol. 47, No. 14, pp. 49–53

Wolf, A., J.B. Swift, H.L. Swinney, and J.A. Vastano, 1985, “Determining Lyapunov Exponents from a Time Series,” Physica D: Nonlinear Phenomena, Vol. 16, No. 3, pp. 285–317, https://doi.org/10.1016 /0167-2789(85)90011-9

Wu, B., B.-S. Yan, and C.-F. He, 2011, “Nonlinear Ultrasonic Characterizing Online Fatigue Damage and In Situ Microscopic Observation,” Transactions of Nonferrous Metals Society of China, Vol. 21, No. 12, pp. 2597–2604, https://doi.org/10.1016/S1003-6326(11)61097-2

Zhang, Y., H. Mao, H. Mao, and Z. Huang, 2018, “Fatigue Evaluation of Metallic Components based on Chaotic Characteristics of Second Harmonic Generation Signal,” Journal of Vibroengineering, Vol. 20, No. 6, pp. 2289–2300, https://doi.org/10.21595/jve.2018.18975

 

Metrics
Usage Shares
Total Views
47 Page Views
Total Shares
0 Tweets
47
0 PDF Downloads
0
0 Facebook Shares
Total Usage
47