Two Elastodynamic Incremental Models: The Incremental Theory of Diffraction and a Huygens Method

Darmon, Michel; Djakou, Audrey Kamta; Chehade, Samar; Potel, Catherine; Fradkin, L.

doi:10.1109/tuffc.2019.2904334

Cited by 3 publications

(4 citation statements)

References 18 publications

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“…These oscillations may be due to interference between waves scattered from each edge and their corners, the latter being better predicted by FEM than by the PTD model. The PTD model used here relies on the incremental Huygens model to account for the finite edge extension [16,26,53,54]. The second numerical comparison in the previous P45° TOFD configuration (Figure 2a) consists of studying the effect of the flaw height on maximal flaw echo amplitude for the 25 mm extent crack (extension large enough to include the beam width).…”

Section: Longitudinal Wavesmentioning

confidence: 99%

Section: Longitudinal Wavesmentioning

confidence: 99%

“…A GTD solution has also recently been proposed for wedge scattering [10][11][12]. Several system models based on KA [3] or GTD [13,14] were conceived first for 2D configurations and then developed in 3D for KA [1,5] and for GTD [15], then using an incremental Huygens model [16]. Strategies were then created to take into account both reflection and edge diffraction.…”

Section: Introductionmentioning

confidence: 99%

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An Experimental and Theoretical Comparison of 3D Models for Ultrasonic Non-Destructive Testing of Cracks: Part I, Embedded Cracks

2022

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Ultrasonic Non-Destructive Testing (NDT) methods are broadly used for detection and characterization/imaging of cracks. Simulation is of great interest for designing such NDT methods. To model the ultrasonic 3D response of a crack, ultrasonic high frequency asymptotic (semi-analytical) models (such as the Physical Theory of Diffraction—PTD) are known to provide accurate predictions for most classical NDT configurations, and 3D numerical models have also emerged more recently. The aim of this paper is to carry out for the first time an experimental and theoretical comparison of 3D models for ultrasonic NDT of embedded cracks in 3D configurations. Semi-analytical models and a hybrid 3D FEM strategy—combining high-order spectral Finite Elements Method (FEM) for flaw scattering and an asymptotic ray model for beam propagation—have been compared. Both numerical validations and comparisons between simulation and experiments prove the effectiveness of PTD in numerous configurations but validate and demonstrate the improvement provided by the 3D hybrid code, notably for small flaws compared to the wavelength and for shear waves.

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Section: Longitudinal Wavesmentioning

confidence: 99%

Section: Longitudinal Wavesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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An Experimental and Theoretical Comparison of 3D Models for Ultrasonic Non-Destructive Testing of Cracks: Part I, Embedded Cracks

2022

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“…To overcome limitations of GTD in terms of discontinuities and shape of the diffracting edge, the incremental theory of diffraction [34] has been suggested, calculating the diffracted field as a superposition of incremental field contributions from points along the edge. The incremental model has been further developed [35] for applications in ultrasonic nondestructive testing.…”

Section: Introductionmentioning

confidence: 99%

A Universal Filter Approximation of Edge Diffraction for Geometrical Acoustics

Kirsch

Ewert

2023

IEEE/ACM Trans. Audio Speech Lang. Process.

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Sound propagation in urban and indoor environments often involves diffraction at corners, finite objects and openings, resulting in perceptually relevant frequencydependent attenuation. Geometrical acoustics (GA) have become a de-facto standard for prediction and simulation of sound propagation and real-time virtual acoustics, including effects of edge diffraction. However, methods to account for edge diffraction often assume infinite edges, such as the uniform theory of diffraction or are computationally involved, such as the Biot-Tolstoy-Medwin-Svensson (BTMS) method. Particularly for interactive auralization, an efficient approximation of edge diffraction is desirable. Here, an extension of GA to account for diffraction with simple-to-derive parameters and a time-domain recursive filter implementation is suggested. This universal diffraction filter approximation (UDFA) describes diffraction from infinite and finite wedges using a combination of first-order and (fractional) half-order low-pass filters to account for the frequency-dependent attenuation of the diffracted incident and reflected sound field. The physically-based UDFA exactly matches asymptotic solutions for infinite wedges and provides approximations for finite wedges. It is demonstrated that firstorder diffraction from flat finite objects like a plate or an aperture can be described by combining the filters for each edge. To account for effects of higher-order diffraction, an additional heuristic filter extension is suggested.

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3D elastic plane-wave diffraction by a stress-free wedge for incident skew angles below the critical angle in diffraction

Chehade

Darmon

Lebeau

2021

Journal of Computational Physics

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Two Elastodynamic Incremental Models: The Incremental Theory of Diffraction and a Huygens Method

Cited by 3 publications

References 18 publications

An Experimental and Theoretical Comparison of 3D Models for Ultrasonic Non-Destructive Testing of Cracks: Part I, Embedded Cracks

An Experimental and Theoretical Comparison of 3D Models for Ultrasonic Non-Destructive Testing of Cracks: Part I, Embedded Cracks

A Universal Filter Approximation of Edge Diffraction for Geometrical Acoustics

3D elastic plane-wave diffraction by a stress-free wedge for incident skew angles below the critical angle in diffraction

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