Optimization of coupled Lamb wave parameters for defect detection in anisotropic composite three-layer with Kelvin-Voigt viscoelasticity using Legendre polynomial method

Dahmen, Souhail; Glorieux, Christ

doi:10.1016/j.compstruct.2021.114158

Cited by 3 publications

(2 citation statements)

References 28 publications

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“…56 In literature, the KV model is increasingly adopted to compute the 3D dispersion curves in ðf ,k r ,k i Þ domain no matter which numerical method is used. 23,34 In contrast with this tendency, the two case studies in this paper demonstrate that the HR involved models predict more accurate attenuation than the KV involved models in comparison with the experimental data. This fact reveals that choosing a damping model to represent the viscoelasticity of composite materials is application dependent.…”

Section: Discussion and Future Work Discussioncontrasting

confidence: 67%

“…15 Some alternative approaches turn to establish the approximated DEs but are solved by efficient root-searching algorithms such as the Newton-Raphson method and eigenvalue decomposition method. The representatives are the approaches based on Legendre polynomials [22][23][24] and higher-order plate theory. [25][26][27] Furthermore, discrete numerical methods are widely applied as well to solve the problem of complex waves in multilayered viscoelastic plates due to their easy implementation.…”

Section: Introductionmentioning

confidence: 99%

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Prediction of frequency and spatially dependent attenuation of guided waves propagating in mounted and unmounted A380 parts made up of anisotropic viscoelastic composite laminates

Guo

Rébillat

Mechbal

2022

Structural Health Monitoring

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Monitoring damage in composite structures using guided wave-based techniques is particularly effective due to their excellent ability to propagate over relatively long distance and hence to cover a large area with few testing time and equipment. The industrialization of this method is highly tributary of the number and placement of the active elements. Yet, the optimal sensorization of a structure relies on the decrease in amplitude of guided waves over propagation distance. A reliable prediction of attenuation of guided waves is still a challenge especially for anisotropic viscoelastic composite materials which exhibit complex changes of attenuation with propagation direction and thus a spatial dependency of attenuation. In this paper, the damped global matrix method (dGMM), having stable and efficient merits, is developed to predict the frequency and spatially dependent attenuation of waves propagating in anisotropic composite materials. dGMM integrates three damping models (Hysteretic, Kelvin-Voigt, and Biot models) into the conventional undamped GMM to consider viscoelasticity of composite laminates. The proposed dGMM is first theoretically validated by numerical comparison with the semi-analytical finite element method. In addition, two industrial case studies, parts of an A380 nacelle at scale one, are employed to experimentally validate the proposed attenuation prediction method. The first one is a fan cowl structure and the second one is an inner fixed structure, both either unmounted or mounted on an actual instrumented A380 plane. This makes the validation extremely valuable for both the scientific and industrial communities. The proposed attenuation prediction method thus paves the way to optimally deploy sensor network for structural health monitoring of anisotropic viscoelastic composite structures.

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Section: Discussion and Future Work Discussioncontrasting

confidence: 67%

Section: Introductionmentioning

confidence: 99%

Prediction of frequency and spatially dependent attenuation of guided waves propagating in mounted and unmounted A380 parts made up of anisotropic viscoelastic composite laminates

Guo

Rébillat

Mechbal

2022

Structural Health Monitoring

View full text Add to dashboard Cite

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A new guided mode so-called minimum group velocity in viscoelastic sandwich plates: A parametric numerical study

Dahmen,

Othmani,

Merchel

et al. 2024

Composite Structures

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Chebyshev Polynomials of Sixth Kind for Solving Nonlinear Fractional PDEs with Proportional Delay and Its Convergence Analysis

Sadri

Aminikhah

2022

Journal of Function Spaces

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This work devotes to solving a class of delay fractional partial differential equations that arises in physical, biological, medical, and climate models. For this, a numerical scheme is implemented that applies operational matrices to convert the main problem into a system of algebraic equations; then, solving the resultant system leads to an approximate solution. The two-variable Chebyshev polynomials of the sixth kind, as basis functions in the proposed method, are constructed by the one-variable ones, and their operational matrices are derived. Error bounds of approximate solutions and their fractional and classical derivatives are computed. With the aid of these bounds, a bound for the residual function is estimated. Three illustrative examples demonstrate the simplicity and efficiency of the proposed method.

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Optimization of coupled Lamb wave parameters for defect detection in anisotropic composite three-layer with Kelvin-Voigt viscoelasticity using Legendre polynomial method

Cited by 3 publications

References 28 publications

Prediction of frequency and spatially dependent attenuation of guided waves propagating in mounted and unmounted A380 parts made up of anisotropic viscoelastic composite laminates

Prediction of frequency and spatially dependent attenuation of guided waves propagating in mounted and unmounted A380 parts made up of anisotropic viscoelastic composite laminates

A new guided mode so-called minimum group velocity in viscoelastic sandwich plates: A parametric numerical study

Chebyshev Polynomials of Sixth Kind for Solving Nonlinear Fractional PDEs with Proportional Delay and Its Convergence Analysis

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