Nonlinearity in high amplitude focused waves in solids for crack detection using time reversal techniques

2019 ◽  
Vol 145 (3) ◽  
pp. 1755-1755
Author(s):  
Brian E. Anderson ◽  
Sarah M. Young ◽  
Marcel Remillieux ◽  
Pierre-Yves Le Bas ◽  
Timothy J. Ulrich
2019 ◽  
Vol 146 (4) ◽  
pp. 3057-3057
Author(s):  
Carla B. Wallace ◽  
Brian E. Anderson
Keyword(s):  

2008 ◽  
Vol 43 (3) ◽  
pp. 170-177 ◽  
Author(s):  
T. Goursolle ◽  
S. Dos Santos ◽  
O. Bou Matar ◽  
S. Callé

Author(s):  
Junzhen Wang ◽  
Yanfeng Shen

Abstract This paper presents a numerical study on nonlinear Lamb wave time reversing for fatigue crack detection. An analytical framework is initially presented, modeling Lamb wave generation, propagation, wave crack linear and nonlinear interaction, and reception. Subsequently, a 3D transient dynamic coupled-field finite element model is constructed to simulate the pitch-catch procedure in an aluminum plate using the commercial finite element software (ANSYS). The excitation frequency is carefully selected, where only single Lamb wave mode will be generated by the Piezoelectric Wafer Active Sensor (PWAS). The fatigue cracks are modelled nucleating from both sides of a rivet hole. In addition, contact dynamics are considered to capture the nonlinear interactions between guided waves and the fatigue cracks, which would induce Contact Acoustic Nonlinearity (CAN) into the guided waves. Then the conventional and virtual time reversal methods are realized by finite element simulation. Advanced signal processing techniques are used to extract the distinctive nonlinear features. Via the Fast Fourier Transform (FFT) and time-frequency spectral analysis, nonlinear superharmonic components are observed. The reconstructed signals attained from the conventional and virtual time reversal methods are compared and analyzed. Finally, various Damage Indices (DIs), based on the difference between the reconstructed signal and the excitation waveform as well as the amplitude ratio between the superharmonic and the fundamental frequency components are adopted to evaluate the fatigue crack severity. The DIs could provide quantitative diagnostic information for fatigue crack detection. This paper finishes with summary, concluding remarks, and suggestions for future work.


2013 ◽  
Vol 134 (1) ◽  
pp. EL52-EL56 ◽  
Author(s):  
Pierre-Yves Le Bas ◽  
T. J. Ulrich ◽  
Brian E. Anderson ◽  
J. James Esplin
Keyword(s):  

2019 ◽  
Vol 145 (5) ◽  
pp. 3195-3207 ◽  
Author(s):  
Sarah M. Young ◽  
Brian E. Anderson ◽  
Matthew L. Willardson ◽  
Paige E. Simpson ◽  
Pierre-Yves Le Bas

Author(s):  
Zexing Yu ◽  
Fei Du ◽  
Chao Xu

Abstract Lamb wave is considered as an appropriate approach to detect the cracks in structures. This paper combines an efficient time-domain spectral finite element with time reversal method to develop an efficient breathing crack detection method. In this regard, Gauss-Lobatto-Legendre quadrature rules and penalty function method are carried out to construct an effective and accurate approach. Comparing the computation scales and results of this method and traditional finite element method, the validity and superiority of the proposed model is stressed. The reconstructed signals of two scenarios, intact and impaired structures, are captured. It is concluded that, this approach is capable of detecting breathing cracks. In addition, the influences of the relative depth of the notch and incident region are studied. This research may provide the guidance for experiment configuration and the further study.


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