Comparative Study of Several Methods for the Calculation of Ultrasonic Guided Waves in Composites

Kamal, Ayman; Grésil, Matthieu; Giurgiutiu, Victor

doi:10.2514/6.2013-1901

Cited by 8 publications

(7 citation statements)

References 26 publications

(39 reference statements)

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“…The propagation velocities of these modes are dispersive and are calculated by the stiffness transfer matrix method (STMM), described in [ 40 ]. This methodology is very convenient for multilayered media, as it condenses the system into four equations, eliminating all other intermediate interfaces.…”

Section: Methodsmentioning

confidence: 99%

“…The system in Equation (2) only presents a non-trivial solution when its determinant has a null value; therefore, it can be treated as an eigenvalue problem to obtain the values of

, resulting in a six-order equation with only even coefficients [ 40 , 41 ]. Therefore,

…”

Section: Methodsmentioning

confidence: 99%

“…Values for the parameters

, and

can be found in [ 40 ]. Defining a stress displacement vector

, the relation for wave propagation in each each layer is:

…”

Section: Methodsmentioning

confidence: 99%

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Evaluating Structural Details’ Influence on Elastic Wave Propagation for Composite Structures via Ray Tracing

Sánchez Iglesias,

Fernández López

2023

Sensors

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This study presents a novel method based on ray tracing for analyzing wave propagation in composites specifically tailored for structural health monitoring applications. This method offers distinct advantages over the commonly used finite element method mainly in computational resource utilization, which has become a limiting factor for these kinds of analyses. The ray tracing method is evaluated against a number of example cases representing structural details such as thickness changes, stringers, or simulated damage, and the significance of ray tracing to study wave propagation under these conditions and how it can serve as a valuable tool for structural health monitoring are highlighted. This model has been developed as part of a complete SHM framework with the intention of being an efficient and simple way to calculate wave propagation and therefore it could be used as a way to determine relevant damage indicators or train an artificial intelligence model.

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Section: Methodsmentioning

confidence: 99%

“…The system in Equation (2) only presents a non-trivial solution when its determinant has a null value; therefore, it can be treated as an eigenvalue problem to obtain the values of

, resulting in a six-order equation with only even coefficients [ 40 , 41 ]. Therefore,

…”

Section: Methodsmentioning

confidence: 99%

See 1 more Smart Citation

Evaluating Structural Details’ Influence on Elastic Wave Propagation for Composite Structures via Ray Tracing

Sánchez Iglesias,

Fernández López

2023

Sensors

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“…GW dispersion analysis software packages became available for GW velocities and attenuation [25][26][27]. GW analysis methods for anisotropic materials and structures were developed [4,[28][29][30][31][32][33][34][35][36], and GW in non-linear solids started to provide a new NDE approach, especially for detecting fatigue damage [37][38][39]. The uses of laser devices enabled, for example, detailed evaluation of composite damages and GW fields generated by fatigue cracks [40,41].…”

Section: Introductionmentioning

confidence: 99%

“…A recent review gathered available bulk-wave and GW attenuation studies [14], which illuminate the scarcity of attenuation data, especially for the transverse waves and Lamb waves. Some of the studies cited above are exceptions and compared calculated and measured attenuation for carbon-fiber reinforced composite (CFRP) sheets [31,34,35]. When the attenuation coefficients of bulk waves of the same (or similar) material are available, GW attenuation coefficients can be calculated using Viktorov's parametric equations [19].…”

Section: Introductionmentioning

confidence: 99%

Experimental Determination of Lamb-Wave Attenuation Coefficients

Ono

2022

Applied Sciences

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This work determined the attenuation coefficients of Lamb waves of ten engineering materials and compared the results with calculated Lamb-wave attenuation coefficients, α–S and α–A. The Disperse program and a parametric method based on Disperse results were used for calculations. Bulk-wave attenuation coefficients, αL and αT, were required as input parameters to the Disperse calculations. The calculated α–S and α–A values were found to be dominated by the αT contribution. Often α–Ao coincided with αT. The values of αL and αT were previously obtained or newly measured. Attenuation measurement relied on Lamb-wave generation by pulsed excitation of ultrasonic transducers and on surface-displacement detection with point contact receivers. The frequency used ranged from 10 kHz to 1 MHz. A total of 14 sheet and plate samples were evaluated. Sample materials ranged from steel, Al, and silicate glass with low attenuation to polymers and a fiber composite with much higher attenuation. Experimentally obtained Lamb-wave attenuation coefficients, α–S and α–A, for symmetric and asymmetric modes, were mostly for the zeroth mode. Plots of α–So and α–Ao values against frequency were found to coincide reasonably well to theoretically calculated curves. This study confirmed that the Disperse program predicts Lamb-wave attenuation coefficients for elastically isotropic materials within the limitation of the contact ultrasonic techniques used. Further refinements in experimental methods are needed, as large deviations often occurred, especially at low and high frequencies. Methods of refinement are suggested. Displacement measurements were quantified using Rayleigh wave calibration. For signals below 300 kHz, 1-mV receiver output corresponded to 1-pm displacement. Peak displacements after 200-mm propagation were found to range from 10 pm to 1.5 nm. With the use of signal averaging, the point-contact sensor was capable of detecting 1-pm displacement with 40 dB signal-to-noise ratio and had equivalent noise of 4.3 fm/√Hz. Approximate expressions for α–So and α–Ao were obtained, and an empirical correlation was found between bulk-wave attenuation coefficients, i.e., αT = 2.79 αL, for over 150 materials.

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