Abstract
Most cracks do not grow straight due to the inhomogeneity of material properties. Furthermore, quantifying structural damage using Lamb waves is difficult due to uncertain crack shape. Here, we present a newly developed finite element model to simulate the propagation of Lamb waves in a cracked plate to quantify the influence of crack size and orientation on the characteristics of Lamb wave propagation. This model includes a piezoelectric actuator and sensor to generate and receive the tone-burst signals of Lamb wave. The damping coefficient of the finite element model was calibrated with the experimental data of plates without a crack. The Lamb wave propagation simulations were performed with various crack sizes, crack orientations, and distances between the actuator and sensor. Our model was utilized to investigate the influence of crack orientation on damage quantification based on the signal phase change and normalized amplitude. We successfully evaluated the effect of the incident angle of the crack, crack size, and distance between the sensors on the change of the plate wave signal characteristics. The signal characteristics obtained from our novel finite element model can be used to develop a quantification model to estimate the crack size, direction, and distance from the sensor.
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Abbreviations
- S(t):
-
SIN function
- W(t):
-
Hanning window function
- y(t):
-
Tone burst signal
- d mij φ :
-
Piezoelectric coefficient matrix
- ε ij :
-
Strain vector
- q m :
-
Electric displacement matrix
- C T :
-
Transverse wave speed
- λ min :
-
Shortest wave length
- L :
-
Element size
- C L :
-
Longitudinal wave speed
- Δt :
-
Time step of analysis
- f :
-
Center frequency of lamb wave
- t :
-
Total signal time of lamb wave
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Acknowledgments
This research was supported by the Ministry of Trade, Industry and Energy (MOTIE) and Korea Institute for Advancement of Technology (KIAT) through the Project of Global Human Resources Cultivation for Innovative Growth (Project No.: P0008751).
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Seyeon Kim received her B.E. degree in the Department of Mechanical Engineering in 2019 from Keimyung University, Daegu, South Korea. She is currently pursuing her Ph.D. in the Department of Mechanical Engineering at the same university. Her research interests include reliability-based design optimization and nuclear technology.
Nam-Ho Kim is currently a Professor of Mechanical and Aerospace Engineering at the University of Florida. He graduated with a Ph.D. in the Department of Mechanical Engineering from the University of lowa in 1999 and worked at the Center for Computer-Aided Design as a postdoctoral associate until 2001. His research area is structural design optimization, design sensitivity analysis, design under uncertainty, structural health monitoring, nonlinear structural mechanics, and structural-acoustics. He has published three books and more than one hundred refereed journal and conference papers in the above areas.
Sanghoon Lee is currently an Associate Professor of Mechanical Engineering at Keimyung University, Daegu, South Korea. He graduated with a Ph.D. in the Department of Mechanical Engineering from the Korea Advanced Institute of Science and Technology in 2006 and worked at the Korea Atomic Energy Research Institute as a Senior Researcher until 2015. His research areas are design optimization, design under uncertainty, and waste package design and safety evaluation. He has been published in more than 60 journals and conference papers in the above areas.
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Kim, S., Kim, N.H. & Lee, S. Study on Lamb wave propagation in a cracked plate using numerical simulations. J Mech Sci Technol 37, 4217–4225 (2023). https://doi.org/10.1007/s12206-023-0737-6
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DOI: https://doi.org/10.1007/s12206-023-0737-6