Mixing of two collinear Rayleigh waves in an isotropic nonlinear elastic half-space

Morlock, Merlin; Kim, Jin‐Yeon; Jacobs, Laurence J.; Qu, Jianmin

doi:10.1063/1.4864882

Cited by 3 publications

(3 citation statements)

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“…The primary distinction between SHG and the latter two examples is that SHG focuses entirely on relating the harmonics generated from a monochromatic input to the nonlinearity of the material, whereas wave mixing and parametric array excitation seeks to exploit the material nonlinearity to produce output waves at sum and/or difference frequencies from multiple monochromatic inputs. Despite some advantages (super-directivity of outputs and temporal isolation from inputs), the latter techniques are experimentally challenging for Rayleigh wave-based applications [11].…”

Section: Introductionmentioning

confidence: 99%

Diffraction, attenuation, and source corrections for nonlinear Rayleigh wave ultrasonic measurements

et al. 2015

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This research considers the effects of diffraction, attenuation, and the nonlinearity of generating sources on measurements of nonlinear ultrasonic Rayleigh wave propagation. A new theoretical framework for correcting measurements made with air-coupled and contact piezoelectric receivers for the aforementioned effects is provided based on analytical models and experimental considerations. A method for extracting the nonlinearity parameter β11 is proposed based on a nonlinear least squares curve-fitting algorithm that is tailored for Rayleigh wave measurements. Quantitative experiments are conducted to confirm the predictions for the nonlinearity of the piezoelectric source and to demonstrate the effectiveness of the curve-fitting procedure. These experiments are conducted on aluminum 2024 and 7075 specimens and a β11(7075)/β11(2024) measure of 1.363 agrees well with previous literature and earlier work. The proposed work is also applied to a set of 2205 duplex stainless steel specimens that underwent various degrees of heat-treatment over 24h, and the results improve upon conclusions drawn from previous analysis.

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Section: Introductionmentioning

confidence: 99%

Diffraction, attenuation, and source corrections for nonlinear Rayleigh wave ultrasonic measurements

et al. 2015

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“…Researches about collinear MRWs have been comprehensively studied [24,25]. The possibility of generating MRWs has been demonstrated [26], and the related theories have been proposed as well [27]. The above collinear MRWs are all generated by two fundamental waves propagating in opposite directions.…”

Section: Introductionmentioning

confidence: 99%

Evaluation of material surface properties using one-way collinear mixing Rayleigh waves

Lai

et al. 2023

Smart Mater. Struct.

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Nonlinear Rayleigh waves are useful for material surface damage detection. Traditional non-destructive testing (NDT) techniques based on higher harmonics of Rayleigh waves are inevitably interfered with by the nonlinearity of measurement systems. To overcome this disadvantage, an approach based on one-way collinear mixing Rayleigh waves (MRWs) is proposed to evaluate the material surface properties. A wedge with two different incidence angles for the excitations of transverse and longitudinal waves is designed to generate one-way collinear MRWs. The one-way collinear MRWs can be generated on the whole surface of the material, and propagate along the propagation way under one excitation. Numerical simulations of one-way collinear MRWs under different surface properties, which are characterized using different third-order elastic constants, are studied on a semi-infinite aluminium. Experiments are also conducted on the aluminium specimen, whose surface is corroded by hydrochloric acid so as to change the material surface properties. Both numerical and experimental results show that the one-way collinear MRWs are generated effectively, and the defined relative acoustic nonlinearity parameter increases with the propagation distance as well as the severity of the material surface damages. The results verify the effectiveness of the proposed MRW-based method and prove that it would be a promising NDT technique for the accurate evaluation of material surface properties.

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“…Jiao et al [23] employed a collinear wave mixing of two longitudinal waves to detect a single micro-crack. Jacobs et al [24] analytically investigated the nonlinear mixing mechanism of two collinear Rayleigh waves in isotropic nonlinear elastic solids. Sun et al [25] derived the resonant condition for one-way mixing of nonlinear Lamb waves to identify mode triplets.…”

Section: Introductionmentioning

confidence: 99%

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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Mixing of two collinear Rayleigh waves in an isotropic nonlinear elastic half-space

Cited by 3 publications

References 0 publications

Diffraction, attenuation, and source corrections for nonlinear Rayleigh wave ultrasonic measurements

Diffraction, attenuation, and source corrections for nonlinear Rayleigh wave ultrasonic measurements

Evaluation of material surface properties using one-way collinear mixing Rayleigh waves

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

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