Theoretical investigation of nonlinear ultrasonic wave modulation spectroscopy at crack interface

Kober, Jan; Převorovský, Zdeněk

doi:10.1016/j.ndteint.2013.09.001

Cited by 34 publications

(13 citation statements)

References 37 publications

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“…Present scientific and industrial needs require the use of acoustic measurement systems with a high sensitivity to different material properties, such as cracks and micro-cracks [1,2], fatigue [3,4], ageing [5,6], and bonding state [7,8,9,10]. Nonlinear ultrasonics enable investigators to fulfill this requirement when linear ultrasonic techniques become inefficient or are insensitive to particular material properties [11].…”

Section: Introductionmentioning

confidence: 99%

A study of the noncollinear ultrasonic-wave-mixing technique under imperfect resonance conditions

2015

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Geometrical and material property changes cause deviations in the resonant conditions used for noncollinear wave mixing. These deviations are predicted and observed using the SV(ω1)+L(ω2)→L(ω1+ω2) interaction, where SV and L are the shear vertical and longitudinal waves, respectively, and ω1, ω2 are their frequencies. Numerical predictions, performed for the scattered secondary field in the far field zone, show three field features of imperfect resonance conditions: (1) rotation of a scattered beam, (2) decrease in the beam amplitude, and (3) beam splitting. The response of the nonlinear ultrasonic wave mixing technique is verified experimentally in two ways: (1) detection of a kissing bond between two polyvinyl chloride (PVC) plates, and (2) detection of subsurface micro-cracks in polymethyl methacrylate (PMMA). A predominant decrease in nonlinear wave energy is observed in both experiments. Beam rotation and splitting is observed in the kissing-bond experiment, while a minor increase in the nonlinear wave energy up to 100% is observed in the micro-cracked PMMA specimen.

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Section: Introductionmentioning

confidence: 99%

A study of the noncollinear ultrasonic-wave-mixing technique under imperfect resonance conditions

2015

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“…The first term on the right side of Equation (2) represent the classical nonlinearity,while the second term correspond to its non-classical counterpart. At high strain amplitudes (e.g., ε>10 −6 ), the effect of non-classical nonlinearity could be dominant [2,3]. Therefore, it wasreasonable to ignore the classical nonlinearity in this case (i.e., β = δ = ··· = 0).B ya pplying the stress-strain relationship in Equation (1),the 1-D wave propagation in aconical bar with insignificantly varying cross-section could be described by modifying the wave equation as…”

Section: Theory and Methodsmentioning

confidence: 99%

“…This phenomenon makes amajor contribution to the nonlinear acoustic responses in nondestructive testing (NDT) [1,2,3], and is named as non-classical nonlinearity.T he hysteretic characteristics between stress and strain usually cause distinctive wave distortion and harmonic generation locally in the damaged region. In contrast to the classical nonlinearity or propagation nonlinearity,o nly oddorder harmonic components would be generated, while their amplitudes could be proportional to the square of the fundamental component.…”

Section: Introductionmentioning

confidence: 99%

Solutions of Non-Classical Nonlinear Acoustics Wave Equation in a Conical Bar with Micro-Cracks

Teng¹,

Guo²,

Luo³

et al. 2016

Acta Acustica united with Acustica

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Non-classical nonlinear acoustic wave (NNAW) plays an important role in the evaluation of micro-cracked solids. In the present work, the characteristics of NNAW in aconical bar embedded with micro-cracks wasinvestigated by modifying the stress-strain relationship with hysteresis and discrete memory characteristics. Considering the variation of the bar'scross section to be insignificant, aone-dimensional model wasdeveloped and the general wave equation wasmodified accordingly.Analytical analysis of the model wasthen achievedvia the perturbation theory,w hich showed that accurate prediction of the crack location could be accomplished by analyzing the longitudinal displacement fields across the cracked area. Numerical simulations were carried out to demonstrate the effectivity of the model. The results showed that: (a) the presence of the micro-cracks induced non-classical nonlinear wave distortion, while the longitudinal strain wasdiscontinuous on the twosides of the crack; (b) only the odd-order harmonics were generated, whose displacement amplitudes were highly related to the position and width of the micro-cracked region, and wasa lso dependent on the strength parameter of the non-classical nonlinearity; (c) the displacement amplitudes of the third harmonic components wasl arger than other higher order harmonics, and could be employed to discern and locate the micro-cracked region.

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“…There are, however, many literature sources that deal with the aspects of nonlinearities involved in the VAM, both theoretically and numerically. 14,15,18,[34][35][36] Theoretical considerations related to nonlinear mechanisms involved in the VAM are discussed in Refs. 14, 15, 18 and more recently in Ref.…”

Section: Modelingmentioning

confidence: 99%

Nonlinear vibroacoustic wave modulations for structural damage detection: an overview

et al. 2015

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Abstract. We present an overview of research developments related to the nonlinear vibroacoustic modulation technique used for structural damage detection. The method of interest is based on nonlinear interactions of a low-frequency pumping wave and a high-frequency probing wave. These two waves are introduced to monitored structures simultaneously. Then the presence of damage is exhibited by additional frequency components that result from nonlinear damage-wave interactions. A vast amount of research has been performed in this area over the last two decades. We aim to present the state-of-the-art of these developments. The major focus is on monitoring approaches, modeling aspects, actuation/sensing, signal processing, and application examples.

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Theoretical investigation of nonlinear ultrasonic wave modulation spectroscopy at crack interface

Cited by 34 publications

References 37 publications

A study of the noncollinear ultrasonic-wave-mixing technique under imperfect resonance conditions

A study of the noncollinear ultrasonic-wave-mixing technique under imperfect resonance conditions

Solutions of Non-Classical Nonlinear Acoustics Wave Equation in a Conical Bar with Micro-Cracks

Nonlinear vibroacoustic wave modulations for structural damage detection: an overview

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