On propagation characteristics of ultrasonic guided waves in layered fluid-saturated porous media using spectral method.

IF 2.1 2区 物理与天体物理 Q2 ACOUSTICS
Hongyan Zhang, Linfeng Wang, Xin Chen, Jian Li, Yiwei Liu, Haichao Liu, Yang Liu
{"title":"On propagation characteristics of ultrasonic guided waves in layered fluid-saturated porous media using spectral method.","authors":"Hongyan Zhang, Linfeng Wang, Xin Chen, Jian Li, Yiwei Liu, Haichao Liu, Yang Liu","doi":"10.1121/10.0034232","DOIUrl":null,"url":null,"abstract":"<p><p>Fluid-saturated porous media plays an increasingly important role in emerging fields such as lithium batteries and artificial bones. Accurately solving the governing equations of guided wave is the key to the successful application of ultrasonic guided wave nondestructive testing technology in fluid-saturated porous media. This paper derives the Lamb wave equation in layered fluid-saturated porous materials based on Biot theory and proposes the spectral method suitable for solving complex wave equations. The spectral method reconstructs the fundamental wave equations in the form of a matrix eigenvalue problem using spectral differentiation matrices. It introduces boundary conditions by replacing corresponding rows in the wave equation matrix with stress or displacement in matrix form. For complex differential equations, such as the governing equations of guided waves in porous media, the spectral method has the significant advantages of faster computation speed, less root loss, and easier encoding process. The spectral method is used to calculate the acoustic field characteristics under different boundary conditions and environments of the layer fluid-saturated porous media. Results show that the surface treatment details and environment of fluid-saturated porous materials play an important role in the propagation of guided waves.</p>","PeriodicalId":17168,"journal":{"name":"Journal of the Acoustical Society of America","volume":"156 5","pages":"3021-3032"},"PeriodicalIF":2.1000,"publicationDate":"2024-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of the Acoustical Society of America","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1121/10.0034232","RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"ACOUSTICS","Score":null,"Total":0}
引用次数: 0

Abstract

Fluid-saturated porous media plays an increasingly important role in emerging fields such as lithium batteries and artificial bones. Accurately solving the governing equations of guided wave is the key to the successful application of ultrasonic guided wave nondestructive testing technology in fluid-saturated porous media. This paper derives the Lamb wave equation in layered fluid-saturated porous materials based on Biot theory and proposes the spectral method suitable for solving complex wave equations. The spectral method reconstructs the fundamental wave equations in the form of a matrix eigenvalue problem using spectral differentiation matrices. It introduces boundary conditions by replacing corresponding rows in the wave equation matrix with stress or displacement in matrix form. For complex differential equations, such as the governing equations of guided waves in porous media, the spectral method has the significant advantages of faster computation speed, less root loss, and easier encoding process. The spectral method is used to calculate the acoustic field characteristics under different boundary conditions and environments of the layer fluid-saturated porous media. Results show that the surface treatment details and environment of fluid-saturated porous materials play an important role in the propagation of guided waves.

用频谱法研究超声导波在层状流体饱和多孔介质中的传播特性。
流体饱和多孔介质在锂电池和人工骨骼等新兴领域发挥着越来越重要的作用。准确求解导波治理方程是超声导波无损检测技术在流体饱和多孔介质中成功应用的关键。本文基于 Biot 理论推导了层状流体饱和多孔材料中的 Lamb 波方程,并提出了适用于求解复杂波方程的频谱法。频谱法利用频谱微分矩阵以矩阵特征值问题的形式重构基波方程。它通过用矩阵形式的应力或位移替换波方程矩阵中的相应行来引入边界条件。对于复杂微分方程,如多孔介质中的导波治理方程,频谱法具有计算速度快、根损失少、编码过程简单等显著优势。利用频谱法计算了层流体饱和多孔介质在不同边界条件和环境下的声场特性。结果表明,流体饱和多孔材料的表面处理细节和环境对导波的传播起着重要作用。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 求助全文
来源期刊
CiteScore
4.60
自引率
16.70%
发文量
1433
审稿时长
4.7 months
期刊介绍: Since 1929 The Journal of the Acoustical Society of America has been the leading source of theoretical and experimental research results in the broad interdisciplinary study of sound. Subject coverage includes: linear and nonlinear acoustics; aeroacoustics, underwater sound and acoustical oceanography; ultrasonics and quantum acoustics; architectural and structural acoustics and vibration; speech, music and noise; psychology and physiology of hearing; engineering acoustics, transduction; bioacoustics, animal bioacoustics.
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信