Vincent Dorval, Nicolas Leymarie, Alexandre Imperiale, Edouard Demaldent, Pierre-Emile Lhuillier
{"title":"Numerical estimation of ultrasonic phase velocity and attenuation for longitudinal and shear waves in polycrystalline materials.","authors":"Vincent Dorval, Nicolas Leymarie, Alexandre Imperiale, Edouard Demaldent, Pierre-Emile Lhuillier","doi":"10.1016/j.ultras.2024.107517","DOIUrl":null,"url":null,"abstract":"<p><p>Finite element computations offer ways to study the behavior of ultrasonic waves in polycrystals. In particular, the simulation of plane waves propagation through small representative elementary volumes of a microstructure allows estimating velocities and scattering-induced attenuation for an effective homogeneous material. Existing works on this topic have focused mainly on longitudinal waves. The approach presented here relies on generating periodic samples of microstructures in order to accommodate both longitudinal and shear waves. After some discussion on the parametrization of the simulations and the numerical errors, results are shown for several materials. These results are compared to an established theoretical attenuation model that has been adapted to use a fully analytical expression of the two-point correlation function for the polycrystals of interest, and to use velocities corresponding to different reference media. Promising comparisons are obtained for both longitudinal and shear waves when using more representative media, obtained through Hill averaging or a self-consistent approach. This illustrates how the numerical method can assist in developing and validating analytical models for elastic wave propagation in heterogeneous media.</p>","PeriodicalId":23522,"journal":{"name":"Ultrasonics","volume":"148 ","pages":"107517"},"PeriodicalIF":3.8000,"publicationDate":"2024-11-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Ultrasonics","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1016/j.ultras.2024.107517","RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ACOUSTICS","Score":null,"Total":0}
引用次数: 0
Abstract
Finite element computations offer ways to study the behavior of ultrasonic waves in polycrystals. In particular, the simulation of plane waves propagation through small representative elementary volumes of a microstructure allows estimating velocities and scattering-induced attenuation for an effective homogeneous material. Existing works on this topic have focused mainly on longitudinal waves. The approach presented here relies on generating periodic samples of microstructures in order to accommodate both longitudinal and shear waves. After some discussion on the parametrization of the simulations and the numerical errors, results are shown for several materials. These results are compared to an established theoretical attenuation model that has been adapted to use a fully analytical expression of the two-point correlation function for the polycrystals of interest, and to use velocities corresponding to different reference media. Promising comparisons are obtained for both longitudinal and shear waves when using more representative media, obtained through Hill averaging or a self-consistent approach. This illustrates how the numerical method can assist in developing and validating analytical models for elastic wave propagation in heterogeneous media.
期刊介绍:
Ultrasonics is the only internationally established journal which covers the entire field of ultrasound research and technology and all its many applications. Ultrasonics contains a variety of sections to keep readers fully informed and up-to-date on the whole spectrum of research and development throughout the world. Ultrasonics publishes papers of exceptional quality and of relevance to both academia and industry. Manuscripts in which ultrasonics is a central issue and not simply an incidental tool or minor issue, are welcomed.
As well as top quality original research papers and review articles by world renowned experts, Ultrasonics also regularly features short communications, a calendar of forthcoming events and special issues dedicated to topical subjects.