A refinement of the Kirchhoff approximation to the scattered elastic fields

Zernov, V.; Fradkin, Larissa; Darmon, Michel

doi:10.1016/j.ultras.2011.09.008

Cited by 33 publications

(28 citation statements)

References 13 publications

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“…These results are compared to another approach where the diffracted field appearing in (13), and satisfying (11), is approximated using the physical theory of diffraction (PTD). 32,33 As expected, we observe two contributions, the earliest corresponds to the interaction of the incident longitudinal wave with the flaw, while the second corresponds to the interaction with the incident transversal wave. The two diffraction models give very similar results, especially for the first echo, however the numerical diffraction model incorporates further contributions that can be identified as surface waves propagating on the flaw.…”

Section: Numerical Resultssupporting

confidence: 81%

Coupling Strategies Between Asymptotic and Numerical Models with Application to Ultrasonic Non-Destructive Testing of Surface Flaws

Impériale

Leymarie

Fortuna

et al. 2019

J. Theor. Comp. Acout.

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Modeling for ultrasonic testing is an important tool in industrial sectors concerned with advanced inspection methods. A significant amount of effort has been directed to building hybrid methods, which try to encompass advantages of both asymptotic and numerical methods. In our work, we consider a hybrid coupling method based upon reciprocity relations. By deriving specific formulations for the incident and diffracted fields, we apply this strategy to the case of surface and near-surface flaws. We illustrate this coupling strategy in some canonical 2D and 3D ultrasonic testing configurations.

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Section: Numerical Resultssupporting

confidence: 81%

Coupling Strategies Between Asymptotic and Numerical Models with Application to Ultrasonic Non-Destructive Testing of Surface Flaws

Impériale

Leymarie

Fortuna

et al. 2019

J. Theor. Comp. Acout.

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“…6) and PTD (Ref. 3) have been reported before; in the leading order when the scatterer is a half-plane PTD is identical to UAT. 3 Due to the integral nature of the method, PTD appears to be computationally expensive, especially when the scatterers are large.…”

Section: Introductionmentioning

confidence: 58%

“…However, the diffracted fields are not always well described. 2,3 In the absence of interaction with other waves, the best description of diffracted fields is obtained via the Geometrical Theory of Diffraction (GTD). 4 This postulates existence of rays diffracted from the structure irregularities such as edge or tip, additional to the incident and reflected rays and also gives a recipe for calculating the amplitudes carried by these rays.…”

Section: Introductionmentioning

confidence: 99%

The Uniform geometrical Theory of Diffraction for elastodynamics: Plane wave scattering from a half-plane

Djakou

Darmon

Fradkin³

et al. 2015

The Journal of the Acoustical Society of America

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Diffraction phenomena studied in electromagnetism, acoustics, and elastodynamics are often modeled using integrals, such as the well-known Sommerfeld integral. The far field asymptotic evaluation of such integrals obtained using the method of steepest descent leads to the classical Geometrical Theory of Diffraction (GTD). It is well known that the method of steepest descent is inapplicable when the integrand's stationary phase point coalesces with its pole, explaining why GTD fails in zones where edge diffracted waves interfere with incident or reflected waves. To overcome this drawback, the Uniform geometrical Theory of Diffraction (UTD) has been developed previously in electromagnetism, based on a ray theory, which is particularly easy to implement. In this paper, UTD is developed for the canonical elastodynamic problem of the scattering of a plane wave by a half-plane. UTD is then compared to another uniform extension of GTD, the Uniform Asymptotic Theory (UAT) of diffraction, based on a more cumbersome ray theory. A good agreement between the two methods is obtained in the far field.

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“…In CIVA, the field radiated by the probe is computed by applying the so-called pencil-model [1], the elastodynamic (for acoustics see [2], [3]) PTD (Physical Theory of Diffraction ) system model [4], [5] is then applied to predict the response of notches and the SOV (Separation Of Variables) model [6] is used for the SDH responses used as reference. The comparison between simulated and experimental results are presented and discussed.…”

Section: Introductionmentioning

confidence: 99%

Results of the 2016 UT modeling benchmark proposed by the French Atomic Energy Commission (CEA) obtained with models implemented in CIVA software

Toullelan¹,

Chatillon²,

Raillon³

et al. 2017

AIP Conference Proceedings

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A refinement of the Kirchhoff approximation to the scattered elastic fields

Cited by 33 publications

References 13 publications

Coupling Strategies Between Asymptotic and Numerical Models with Application to Ultrasonic Non-Destructive Testing of Surface Flaws

Coupling Strategies Between Asymptotic and Numerical Models with Application to Ultrasonic Non-Destructive Testing of Surface Flaws

The Uniform geometrical Theory of Diffraction for elastodynamics: Plane wave scattering from a half-plane

Results of the 2016 UT modeling benchmark proposed by the French Atomic Energy Commission (CEA) obtained with models implemented in CIVA software

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