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Recent advances in semi-analytical scattering models for NDT simulation

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TLDR
In this paper, the SOV method based on the exact analytical model for the scattering from a cylindrical cavity has been extended in 3D to account for field variations along the cylinder.
Abstract
For several years, CEA-LIST and partners have been developing ultrasonic simulation tools with the aim of modelling non-destructive evaluation. The existing ultrasonic modules allow us to simulate fully real ultrasonic inspection scenarios in a range of applications which requires the computation of the propagated beam, as well as its interaction with flaws. To fulfil requirements of an intensive use (for parametric studies), the choice has been made to adopt mainly analytical approximate or exact methods to model the scattering of ultrasound by flaws. The applied analytical theories (Kirchhoff and Born approximations, GTD, SOV...) were already described in previous GDR communication. Over the years, this "semi-analytical" approach has been enriched by adaptations and improvements of the existing models or by new models, in order to extend the applicability of the simulation tools. This paper is devoted to the following recent advances performed in the framework of this approach: The SOV method based on the exact analytical model for the scattering from a cylindrical cavity has been extended in 3D to account for field variations along the cylinder. This new 3D model leads to an improvement in simulation of small side-drilled holes. Concerning the geometrical theories of diffraction (GTD), subroutines for calculation of the 2D wedge diffraction coefficients (for bulk or Rayleigh incident waves) have been developed by the Waves and Fields Group and uniform corrections (UAT and UTD) are under investigation. Modelling of the contribution of the head wave and creeping wave to the echoes arising from a wedge. Numerous experimental validations of the developed models are provided. New possibilities offered by these new developments are emphasized.

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Citations
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Journal ArticleDOI

Quantitative simulation of ultrasonic time of flight diffraction technique in 2D geometries using Huygens-Fresnel diffraction model: Theory and experimental comparison

TL;DR: An analytical approach for simulation of ultrasonic diffracted wave signals from cracks in two-dimensional geometries based on a novel Huygens-Fresnel Diffraction Model (HFDM), able to evaluate back-wall signal amplitude and lateral wave signal amplitude, quantitatively is presented.
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Stochastic simulation of the high-frequency wave propagation in a random medium

TL;DR: In this article, a stochastic model is proposed to simulate the propagation of an acoustic wave in a random medium characterized by weak velocity fluctuations, where the wave field becomes itself a random field.
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Detection, characterization and sizing of hydrogen induced cracking in pressure vessels using phased array ultrasonic data processing

TL;DR: In this article, an optimized Phased Array ultrasonic inspection technique for the detection and sizing of hydrogen induced cracking (HIC) type flaws used as reference for comparison is presented.
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Multifidelity model-assisted probability of detection via Cokriging

TL;DR: The results show that a two-level Cokriging metamodel is capable of yielding estimations of the HF model that are globally accurate within 1% of the standard deviation of the testing points.
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Efficient Model-Assisted Probability of Detection and Sensitivity Analysis for Ultrasonic Testing Simulations Using Stochastic Metamodeling

TL;DR: In this article, a polynomial chaos expansions (PCE) method was proposed to improve the computational efficiency of NDT systems. But the results showed that the probability of detection (POD) metrics of interests can be controlled within 1% accuracy relative to using the physics model directly.
References
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Book

Ultrasonic Nondestructive Evaluation Systems: Models and Measurements

TL;DR: In this article, the authors present a comprehensive model of an ultrasonic measurement system, including Fourier analysis, linear system theory, and wave propagation and scattering theory, using MATLAB examples and exercises.
Book

Uniform Stationary Phase Method

TL;DR: Asymptotic contribution of critical point in a one-dimensional integral to diffraction and wave propagation special functions coefficients of special function expansion in Chebyshev polynomials was studied in this article.
Journal ArticleDOI

Pencil method in elastodynamics: application to ultrasonic field computation

TL;DR: It is shown how a systematic use of a matrix representation for the wave front curvature and for its transformations simplifies the handling of arbitrary pencils and, consequently, the field computations.
Book ChapterDOI

Modelling of scattering of ultrasounds by flaws for NDT

TL;DR: In this paper, the authors describe the methods used to model the beam-to-fault interaction in CEA-List and partners in the aim of simulating non-destructive evaluation.
Journal ArticleDOI

An integrated model to simulate the scattering of ultrasounds by inclusions in steels.

TL;DR: The modified Born approximation, called "doubly distorted wave (D(2)W) Born approximation" allowing to deal with various inclusion shapes, has been selected to be implemented in the CIVA software and evaluated by comparison with Ying and Truell's exact analytical solution.
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