Experimental Validation of Transient Spectral Finite Element Simulation Tools Dedicated to Guided Wave-Based Structural Health Monitoring

Mesnil, Olivier; Recoquillay, Arnaud; Druet, Tom; Serey, Valentin; Hoang, Huu Tinh; Impériale, Alexandre; Demaldent, Édouard

doi:10.1115/1.4050708

Cited by 9 publications

(11 citation statements)

References 23 publications

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“…In this section, we derive a sufficient condition on the time step that insures stability of the fully discrete scheme (16). To do so, we adapt energy arguments followed for instance in Reference 17 or 27, which boils down to two steps.…”

Section: Stability Analysis Of the Fully Discrete Schemementioning

confidence: 99%

“…13 The simplicity and performances of this approach still makes it a landmark for efficient numerical wave propagation modeling, and is present in various legacy codes. [14][15][16] The mortar unknowns are treated with an implicit time-scheme so that the stability condition of the overall numerical procedure is independent of the layer thickness and its effective parameters. This method supports (by construction) non-conform meshes, and we are able to adapt it to support fluid-solid coupling.…”

Section: Introductionmentioning

confidence: 99%

“…For these volume propagators, even though we believe that our approach could apply to more recent space discretization procedures, for example, DG methods, we consider exclusively conform spectral finite elements 13 . The simplicity and performances of this approach still makes it a landmark for efficient numerical wave propagation modeling, and is present in various legacy codes 14‐16 . The mortar unknowns are treated with an implicit time‐scheme so that the stability condition of the overall numerical procedure is independent of the layer thickness and its effective parameters.…”

Section: Introductionmentioning

confidence: 99%

“…the state vector associated to the discrete dynamics (16). Assuming that Δt < Δt, the transition operator T n|1…”

mentioning

confidence: 99%

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An energy preserving time scheme based on the mortar element method for effective transmission conditions between fluid and solid domains in transient wave propagation problems

Impériale

2023

Numerical Meth Engineering

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We are interested in providing an efficient numerical scheme to represent wave propagation in time domain for configurations where a fluid domain and a solid domain are separated by a thin coating layer. Various computational challenges and bottlenecks occur in this context: incorporating fluid–solid coupling, enabling non‐conform space discretization when wavelengths greatly differ from the fluid and the solid domain, and rendering robust time discretization w.r.t. the thin layer thickness. In order to address these issues, the proposed approach combines the mortar element method with so‐called effective transmission conditions, where the effect of the coating layer is incorporated through spring—mass coefficients at the interface between the fluid and solid domain. Using discrete energy arguments, we are able to prove that the associated fully discrete scheme is stable upon a stability condition independent of the thin coating layer. Moreover, we provide an efficient time marching algorithm leading to significantly improved performances, illustrated in 2D and 3D configurations linked to ultrasonic testing experiments modeling.

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Section: Stability Analysis Of the Fully Discrete Schemementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

“…the state vector associated to the discrete dynamics (16). Assuming that Δt < Δt, the transition operator T n|1…”

mentioning

confidence: 99%

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An energy preserving time scheme based on the mortar element method for effective transmission conditions between fluid and solid domains in transient wave propagation problems

Impériale

2023

Numerical Meth Engineering

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“…However, the generation cost of the experimental database is prohibitive as a large number of samples are required. Therefore, a Spectral Finite Elelement (SFE) simulation method [21,22] is used in this work to generate a dataset of GWI samples. The GWI configuration is the same as previously described.…”

Section: Model Trainingmentioning

confidence: 99%

Defect Sizing Using Convolution Neural Network Applied to Guided Wave Imaging

Kulakovskyi¹,

Mesnil²,

Chapuis³

et al. 2019

Structural Health Monitoring 2019

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The lightweight aluminum alloys are extensively used in the aerospace industry. These materials are used for constructing complex structures such as aircraft fuselage due to their excellent strength-to-weight ratio, stiffness, and corrosion resistance. However, defects such as corrosion or fractures can appear because of thermo-mechanical aging in a hostile working environment or impact forces due to the improper use of these structures. In light of this, Guided Waves (GWs)-based Structural Health Monitoring (SHM) system can be considered as a promising solution for the structural integrity screening, maintenance costs reduction and prolongation of the service time of these materials.In general, a sparse array of PZT transducers can be used for GWs exciting and sensing, and GWs Imaging (GWI) algorithms, such as Excitelet, can be used to process the measured signals. This imaging technique allows computing high-resolution images that represent the integrity of the structure, where each pixel of the image is mapped to the elementary portion of the structure and carries a Damage Index (DI) value. While defect presence and location can be determined from visual inspection of the image by naked eye, the defect sizing is a more complex problem due to non-linear behaviour of DI values regarding the defect size and its location.This paper proposes an approach for defect size evaluation. It relies on the extensive GWI database generated by means of Spectral Finite Elements modelling method implemented in CIVA and Convolution Neural Network (CNN) trained on numerical data. The CNN is used to build an accurate inversion model that takes GWI sample as input and determines the size of the defect. The model is tested on the simulated data and validated by means of experiment in aluminum plate.

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An implicit–explicit time discretization for elastic wave propagation problems in plates

Methenni,

Imperiale,

Imperiale

2023

Numerical Meth Engineering

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We propose a new implicit–explicit scheme to address the challenge of modeling wave propagation within thin structures using the time‐domain finite element method. Compared to standard explicit schemes, our approach renders a time marching algorithm with a time step independent of the plate thickness and its associated discretization parameters (mesh step and order of approximation). Relying on the standard three dimensional elastodynamics equations, our strategy can be applied to any type of material, either isotropic or anisotropic, with or without discontinuities in the thickness direction. Upon the assumption of an extruded mesh of the plate‐like geometry, we show that the linear system to be solved at each time step is partially lumped thus efficiently treated. We provide numerical evidence of an adequate convergence behavior, similar to a reference solution obtained using the well‐known leapfrog scheme. Further numerical investigations show significant speed up factors compared to the same reference scheme, proving the efficiency of our approach for the configurations of interest.

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Experimental Validation of Transient Spectral Finite Element Simulation Tools Dedicated to Guided Wave-Based Structural Health Monitoring

Cited by 9 publications

References 23 publications

An energy preserving time scheme based on the mortar element method for effective transmission conditions between fluid and solid domains in transient wave propagation problems

An energy preserving time scheme based on the mortar element method for effective transmission conditions between fluid and solid domains in transient wave propagation problems

Defect Sizing Using Convolution Neural Network Applied to Guided Wave Imaging

An implicit–explicit time discretization for elastic wave propagation problems in plates

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