Surface/sub-surface crack-scattered nonlinear rayleigh waves: A full analytical solution based on elastodynamic reciprocity theorem

Xu, Lei; Wang, Kai; Su, Yiyin; He, Yi; Yang, Jie; Yuan, Shenfang; Su, Zhongqing

doi:10.1016/j.ultras.2021.106578

Cited by 27 publications

(5 citation statements)

References 47 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Ditri [46] used it to model the motion of a leaky circular segment crack. L. Xu also used this idea to model crack displacement in a half-plane under surface wave incidence [47]. Though this method is not suitable for either Crack A or Crack B in this case, a qualitative conclusion can be drawn from early works that the crack center always moves faster than the region where crack starts, and the velocity evolution trend is almost linear.…”

Section: Rigid-ring Dynamic Approximationmentioning

confidence: 99%

Modeling of axisymmetric ultrasonic waves reflected from circumferential cracks in a pipe based on a rigorous analytical theory and implementation on distributed devices

Huan,

Liu,

Liu

et al. 2024

Preprint

View full text Add to dashboard Cite

Inspection of defects in pipelines can be materialized by measuring ultrasonic guided waves the properties of which are conventionally analyzed with complicated finite-element methods (FEM). They require complete geometric discretization and result in large memory consumption in a single analysis, thus are clumsy and inapplicable on distributional devices. This work developed a comprehensive analytical modality to perform rapid assessment of reflection for guided waves in a pipe and used low-cost microprocessors. The mechanism of crack reflection was modeled with the reciprocity theorem and novel rigid-ring dynamic approximation. The analytical approach successfully estimated the coefficient dependence of crack depth with an accuracy comparable to that from FEM. The reflection coefficient dependence of the crack-depth was estimated correctly with up to 0.037 error. The developed algorithm was further implemented on an embedded device for calculation estimation. It shows the complete analytical theory sufficiently reduces computational complexity by orders of magnitude while retaining good accuracy for in-situ pipeline management.

show abstract

Section: Rigid-ring Dynamic Approximationmentioning

confidence: 99%

Modeling of axisymmetric ultrasonic waves reflected from circumferential cracks in a pipe based on a rigorous analytical theory and implementation on distributed devices

Huan,

Liu,

Liu

et al. 2024

Preprint

View full text Add to dashboard Cite

show abstract

“…With respect to modelbased elucidation, perturbation analysis and elastodynamics are the most widely used tools to scrutinize the excitation and propagation of GUWs in intact structures and the damage-induced wave scattering in damaged structures [14][15][16][17][18][19]. Alternatively, GUW-based damage detection has been realized by performing numerical simulation using finite element method [20][21][22][23][24], spectral element method [25][26][27] and boundary element method [28,29]. Experimental validation of GUW-based damage evaluation has also been realized in both metal and composite materials [7,12,19,[30][31][32].…”

Section: Introductionmentioning

confidence: 99%

Wavelet packet energy-based damage detection using guided ultrasonic waves and support vector machine

Lyu

Yang

et al. 2023

Meas. Sci. Technol.

Self Cite

View full text Add to dashboard Cite

Substantial work has shown that the modulation of structural damage on probing guided ultrasonic waves (GUWs) can result in wave components corresponding to different frequencies, causing wave energy transfer from central frequency to other frequency bands. To make use of the damage-induced wave energy transfer in different frequency bands, a data-driven method which combines wavelet packet decomposition (WPD), principal component analysis (PCA) and support vector machine (SVM), is proposed in this study for structural damage identification in both metallic and composite materials. Firstly, WPD is employed to decompose the original signal into different frequency bands, based on which the wave energy at each frequency band can be determined. A wave energy distribution vector is constructed according to the energy proportion of each frequency band. Then, PCA is recalled conducting dimensionality reduction for the energy distribution vectors, in order to improve the computational efficiency for subsequent SVM classification. The compressed energy distribution vectors are used as the input to train an SVM-based classifier for identifying structural damage. To validate the proposed WPD-PCA-SVM method, experiments are performed on both aluminium plate and glass fibre reinforced polymer (GFRP) laminate. According to the experimental results, the embryonic fatigue crack in the metal plate and the anomaly in the GFRP laminate can be identified by the proposed method, with a detection accuracy of 92.86% for aluminium plate and 95.45% for GFRP laminate, respectively, demonstrating the effectiveness of the proposed method for damage detection in both metallic and composite materials.

show abstract

“…With that being said, most of the previous research exploring the interaction of a laser-generated Rayleigh wave with a surface crack for crack identification and characterization, are of a nature of either numerical simulation or experimental investigation, and there is obvious lack of theoretical interrogation to shed light on the interaction of a laser-generated Rayleigh wave with a surface crack, as well as the resultant crack-scattered Rayleigh wavefield. Earlier, the authors of this paper proposed a theoretical model based on elastodynamic reciprocity theorem, to interpret the interaction of narrowband Rayleigh-Lamb waves with non-penetrating fatigue cracks and surface/subsurface cracks [35][36][37]. Closed-form solutions to the magnitude of crack-scattered waves were derived, based on which the severity of a crack can be evaluated quantitatively.…”

Section: Introductionmentioning

confidence: 99%

Frequency-dependent Scattering of Wideband Laser-generated Rayleigh Waves for Vertical Surface Crack Characterization

Su²,

Yang³

et al. 2023

Smart Mater. Struct.

View full text Add to dashboard Cite

Wideband laser-generated Rayleigh waves have been extensively exploited for surface crack characterization, most of which, nonetheless, are of a nature of either numerical simulation or experimental observation. Earlier, an elastodynamic reciprocity theorem-based theoretical model was proposed by the authors [1, 2], aimed at scrutinizing the interaction of narrowband Rayleigh-Lamb waves with a surface or subsurface crack. In this study, the model is expanded to a wideband scenario to analytically explore the interaction of a wideband laser-generated Rayleigh wave with a surface crack, as well as the resultant crack-scattered Rayleigh wavefield. First, under the narrowband scenario, a dimensionless parameter is formulated based on the closed-form solution to the magnitude of the narrowband scattered Rayleigh wavefield, revealing that the scattering effect of a surface crack on the Rayleigh waves is frequency-dependent and there exists a characteristic frequency, at which the crack-scattered Rayleigh wavefield manifests the strongest intensity. Similarly, under the wideband scenario, such dependence can be calibrated by a spectral damage indicator (SDI), which facilitates the evaluation of the severity of the surface crack using the wideband laser-generated Rayleigh wave. Proof-of-concept simulation is performed to verify the model. Quantitative agreement between the analytical and numerical results validates the accuracy of the proposed model and SDI. Experiment is also conducted to demonstrate the effectiveness of the frequency-dependent scattering of wideband laser-generated Rayleigh waves for vertical surface crack characterization.

show abstract

Surface/sub-surface crack-scattered nonlinear rayleigh waves: A full analytical solution based on elastodynamic reciprocity theorem

Cited by 27 publications

References 47 publications

Modeling of axisymmetric ultrasonic waves reflected from circumferential cracks in a pipe based on a rigorous analytical theory and implementation on distributed devices

Modeling of axisymmetric ultrasonic waves reflected from circumferential cracks in a pipe based on a rigorous analytical theory and implementation on distributed devices

Wavelet packet energy-based damage detection using guided ultrasonic waves and support vector machine

Frequency-dependent Scattering of Wideband Laser-generated Rayleigh Waves for Vertical Surface Crack Characterization

Contact Info

Product

Resources

About