One-way Lamb mixing method in thin plates with randomly distributed micro-cracks

Ding, Xin; Zhao, Youxuan; Shui, Guoshuang; Hu, Ning

doi:10.1016/j.ijmecsci.2019.105371

Cited by 37 publications

(19 citation statements)

References 43 publications

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“…Generally, the nonlinearity of ultrasonic wave propagation in an elastic solid with microcrack comes from three main sources: the elastic nonlinearity of material [ 9 ], the geometric nonlinearity [ 10 ], and the contact acoustic nonlinearity (CAN) (or the boundary nonlinearity of contact) [ 11 ]. In the field of NDE, there are mainly five techniques for nonlinear ultrasonic detection: vibration acoustic modulation [ 12 ], nonlinear wave modulation spectroscopy technique [ 13 , 14 ], nonlinear resonance technique [ 15 ], second-harmonic generation [ 16 ] and wave-mixing technique [ 17 , 18 ]. The second-harmonic generation based technique has already been studied numerically, analytically, and experimentally to detect the fatigue damage [ 19 , 20 , 21 ].…”

Section: Introductionmentioning

confidence: 99%

Characterization of Microcrack Orientation Using the Directivity of Secondary Sound Source Induced by an Incident Ultrasonic Transverse Wave

Wang

Zhao

et al. 2020

Materials

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In this paper, characterization of the orientation of a microcrack is quantitatively investigated using the directivity of second harmonic radiated by the secondary sound source (SSS) induced by the nonlinear interaction between an incident ultrasonic transverse wave (UTW) and a microcrack. To this end, a two-dimensional finite element (FE) model is established based on the bilinear stress–strain constitutive relation. Under the modulation of contact acoustic nonlinearity (CAN) to the incident UTW impinging on the microcrack examined, the microcrack itself is treated as a SSS radiating the second harmonic. Thus, the directivity of the second harmonic radiated by the SSS is inherently related to the microcrack itself, including its orientation. Furthermore, the effects of the stiffness difference between the compressive and tensile phases in the bilinear stress–strain model, and the UTW driving frequency, as well as the radius of the sensing circle on the SSS directivity are discussed. The FE results show that the directivity pattern of the second harmonic radiated by the SSS is closely associated with the microcrack orientation, through which the microcrack orientation can be characterized without requiring a baseline signal. It is also found that the SSS directivity varies sensitively with the driving frequency of the incident UTW, while it is insensitive to the stiffness difference between the compressive and tensile phases in the bilinear stress–strain model and the radius of the sensing circle. The results obtained here demonstrate that the orientation of a microcrack can be characterized using the directivity of the SSS induced by the interaction between the incident UTW and the microcrack.

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Section: Introductionmentioning

confidence: 99%

Characterization of Microcrack Orientation Using the Directivity of Secondary Sound Source Induced by an Incident Ultrasonic Transverse Wave

Wang

Zhao

et al. 2020

Materials

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“…When the size of the micro-crack region, the resonant frequency and the friction coefficient remain the same, the ANP increases linearly with the crack density. A previous study [30] indicated that the effect of N and a on crack density is consistent. Considering the assumption of low frequency, parameter a needs to remain unchanged.…”

Section: Numerical Resultsmentioning

confidence: 67%

“…The commercial FEM software ABAQUS (Version 6.14, Dassault Systèmes Simulia Corp., Providence, RI, USA) was adopted to establish the FEM models with randomly distributed micro-cracks. A similar micro-crack modelling method presented by Zhao et al [ 20 , 30 , 54 ] was employed to simulate the two-way collinear wave mixing in the micro-crack damage region.…”

Section: Numerical Simulationsmentioning

confidence: 99%

“…Li et al [ 29 ] studied the acoustic nonlinear behavior from third-order Lamb-mixing harmonics. Hu et al [ 30 , 31 ] investigated the one-way collinear mixing of A 0 and S 0 mode Lamb waves with quadratic nonlinearity and randomly distributed micro-cracks. In addition, the non-collinear ultrasonic wave mixing technique [ 32 , 33 , 34 , 35 , 36 , 37 ] has also been studied by some researchers.…”

Section: Introductionmentioning

confidence: 99%

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Experimental and Numerical Investigation of the Micro-Crack Damage in Elastic Solids by Two-Way Collinear Mixing Method

Liu

Zhao

Zhang

et al. 2021

Sensors

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This study experimentally and numerically investigated the nonlinear behavior of the resonant bulk waves generated by the two-way collinear mixing method in 5052 aluminum alloy with micro-crack damage. When the primary longitudinal and transverse waves mixed in the micro-crack damage region, numerical and experimental results both verified the generation of resonant waves if the resonant condition ωL/ωT=2κ/(κ−1) was satisfied. Meanwhile, we found that the acoustic nonlinearity parameter (ANP) increases monotonously with increases in micro-crack density, the size of the micro-crack region, the frequency of resonant waves and friction coefficient of micro-crack surfaces. Furthermore, the micro-crack damage in a specimen generated by low-temperature fatigue experiment was employed. It was found that the micro-crack damage region can be located by scanning the specimen based on the two-way collinear mixing method.

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“…When two waves propagate in a nonlinear medium, their interaction occurs in a wave mixing zone, where mutual wave interactions result in combinational harmonics at the sum and difference frequencies [25][26][27][28][29][30][31][32][33]. If the two primary waves satisfy certain resonance conditions, the mixed wave is also a propagating wave, and its maximum amplitude is proportional to the size of the mixing zone and the distance travelled [19,25].…”

Section: Introductionmentioning

confidence: 99%

Monitoring prestress in plates by sideband peak count-index (SPC-I) and nonlinear higher harmonics techniques

Wang

Pau

Zhang

et al. 2023

Preprint

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Propagating guided waves in a homogeneous, isotropic, prestressed, hyperelastic plate show nonlinear characteristics that depend on the state of initial prestress. These nonlinear phenomena include higher harmonic generation, occurring when Lamb wave modes of different frequencies (ωa and ωb) are allowed to mix within the material generating secondary waves at frequencies 2ωa, 2ωb, and ωa± ωb. Further, if prescribed internal-resonance conditions are satisfied, the amplitude of secondary waves increases in space, providing a response quantity which is dependent on prestress and easy to be observed. Using the finite element method, in this paper we investigate the time and space evolution of higher harmonics arising in one-way wave mixing. The influence of prestress on the response is elucidated, observing the nonlinear parameter β. It is further shown that the nonlinear ultrasonic technique called Sideband Peak Count-Index (SPC-I) can provide an effective monitoring tool for prestress.

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One-way Lamb mixing method in thin plates with randomly distributed micro-cracks

Cited by 37 publications

References 43 publications

Characterization of Microcrack Orientation Using the Directivity of Secondary Sound Source Induced by an Incident Ultrasonic Transverse Wave

Characterization of Microcrack Orientation Using the Directivity of Secondary Sound Source Induced by an Incident Ultrasonic Transverse Wave

Experimental and Numerical Investigation of the Micro-Crack Damage in Elastic Solids by Two-Way Collinear Mixing Method

Monitoring prestress in plates by sideband peak count-index (SPC-I) and nonlinear higher harmonics techniques

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