Comparison of ultrasonic attenuation within two- and three-dimensional polycrystalline media

Bai, Xue; Tié, Bing; Schmitt, Jean-Hubert; Aubry, Denis

doi:10.1016/j.ultras.2019.105980

Cited by 18 publications

(19 citation statements)

References 34 publications

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“…The rough surface of AM parts can thus exhibit a kind of periodicity and elementary egg-shaped irregularities [142]. Finite element models [143] are likely to be the best solution to both model the bulk macrostructure of such components and their surface roughness-such models have been recently used to model scattering in virtual simulated microstructures of polycrystalline materials either with equiaxed grains [144][145][146] or transverse isotropic as in austenitic welds [147]. The increasing power brought by the spectral finite elements (SEM) method is noticeable [148][149][150] in terms of calculation time and could be very useful for roughness with complex shape irregularities; SEM has recently been used for modeling ultrasonic propagation in granular materials, such as concrete [151].…”

Section: Summary Discussion and Perspectivesmentioning

confidence: 99%

Acoustic Scattering Models from Rough Surfaces: A Brief Review and Recent Advances

Darmon

Dorval

Baqué³

2020

Applied Sciences

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This paper proposes a brief review of acoustic wave scattering models from rough surfaces. This review is intended to provide an up-to-date survey of the analytical approximate or semi-analytical methods that are encountered in acoustic scattering from random rough surfaces. Thus, this review focuses only on the scattering of acoustic waves and does not deal with the transmission through a rough interface of waves within a solid material. The main used approximations are classified here into two types: the two historical approximations (Kirchhoff approximation and the perturbation theory) and some sound propagation models more suitable for grazing observation angles on rough surfaces, such as the small slope approximation, the integral equation method and the parabolic equation. The use of the existing approximations in the scientific literature and their validity are highlighted. Rough surfaces with Gaussian height distribution are usually considered in the models hypotheses. Rather few comparisons between models and measurements have been found in the literature. Some new criteria have been recently determined for the validity of the Kirchhoff approximation, which is one of the most used models, owing to its implementation simplicity.

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Section: Summary Discussion and Perspectivesmentioning

confidence: 99%

Acoustic Scattering Models from Rough Surfaces: A Brief Review and Recent Advances

Darmon

Dorval

Baqué³

2020

Applied Sciences

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“…Assuming single-phase, untextured and weakly-scattering polycrystals, explicit formulas of attenuation can be derived for problems in two and three space dimensions [16] by using the unified theory of Stanke and Kino [12] based on a general formulation established by Karal and Keller [13]. These developments are constructed upon the search for the expected wave solution of an ensemble of possible inhomogeneous media u(x, ω) , where • denotes an ensemble averaging operator.…”

Section: Analytical Modeling Of the Attenuationmentioning

confidence: 99%

“…By invoking the Born approximation, closed forms of the attenuation coefficient were obtained, which give good comparisons with Stanke and Kino's model for both Rayleigh and stochastic regions but fail in the geometric region [15]. Recently, using the framework proposed by Stanke and Kino, explicit formulas of the attenuation coefficient in both two and three-dimensional cases were developed for untextured polycrystals with equiaxed grains with cubic symmetry [16]. A rigorous analysis of the dimensionality of the grain scattering-induced attenuation within those media was then carried out.…”

Section: Introductionmentioning

confidence: 99%

“…First, Section 2 is devoted to theoretical aspects to give a coherent framework. The attenuation coefficient formulas derived in [16] for two and three-dimensional problems are recalled and extended to a generic two-point correlation function. It is then shown that for bimodal microstructures made of equiaxed grains, this function leads to an additive decomposition of the attenuation coefficient.…”

Section: Introductionmentioning

confidence: 99%

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Multi-parameter optimization of attenuation data for characterizing grain size distributions and application to bimodal microstructures

Renaud¹,

Tié²,

Mouronval³

et al. 2021

Preprint

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In this paper, the effect on the ultrasonic attenuation of the grain size heterogeneity in polycrystals is analyzed. First, new analytical developments allowing the extension of the unified theory of Stanke and Kino to general grain size distributions are presented. It is then shown that one can additively decompose the attenuation coefficient provided that groups of grains are defined. Second, the study is specialized to a bimodal distribution of the grain size for which microstructures are numerically modeled by means of the software Neper. The additive partition of the attenuation coefficient into contributions coming from large and small grains motivates the derivation of an optimization procedure for characterizing the grain size distribution. The aforementioned approach, which is based on a least squares minimization, is at last presented and illustrated on both analytical and numerical attenuation data. It is thus shown that the method provides satisfying approximations of volume fractions of large grains and modal equivalent diameters from the frequency-dependent attenuation coefficient.

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“…Over the past years, grain-scale finite element simulations have become an increasingly popular tool for modelling wave propagation in polycrystals. Of interest here are both investigations into the fundamental phenomena, such as attenuation [22][23][24][25][26] and backscatter [27], and application-oriented solutions, such as those dedicated to austenitic steel welds [28,29]. The numerical capacity also allowed incorporating highly-detailed material examinations into FE modelling of ultrasound [14,30], which will be further developed in this paper.…”

Section: Introductionmentioning

confidence: 99%

How does grazing incidence ultrasonic microscopy work? A study based on grain-scale numerical simulations

et al. 2021

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Comparison of ultrasonic attenuation within two- and three-dimensional polycrystalline media

Cited by 18 publications

References 34 publications

Acoustic Scattering Models from Rough Surfaces: A Brief Review and Recent Advances

Acoustic Scattering Models from Rough Surfaces: A Brief Review and Recent Advances

Multi-parameter optimization of attenuation data for characterizing grain size distributions and application to bimodal microstructures

How does grazing incidence ultrasonic microscopy work? A study based on grain-scale numerical simulations

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