{"title":"Effective properties of randomly distributed poroelastic cylinders in a poroelastic matrix","authors":"","doi":"10.1016/j.jsv.2024.118670","DOIUrl":null,"url":null,"abstract":"<div><p>Many media (such as geological formations or osseous tissues) are composites made up of at least two basic materials which can themselves obey complex constitutive laws. Such composites exhibit a wide range of mechanical properties that are essential to estimate using relatively simplified formulas. Here, wave propagation in a random heterogeneous medium (the composite) consisting of a distribution of parallel poroelastic cylinders in a poroelastic matrix is considered. The cylinders and the matrix are Biot’s porous media saturated with fluid. Expressions for the three effective wavenumbers (fast, slow and shear) are provided in the low frequency range using the Conoir and Norris multiple scattering formula accounting for wave conversions, up to the order of <span><math><msubsup><mrow><mi>n</mi></mrow><mrow><mn>0</mn></mrow><mrow><mn>2</mn></mrow></msubsup></math></span> (<span><math><msub><mrow><mi>n</mi></mrow><mrow><mn>0</mn></mrow></msub></math></span> is the number of cylinders per unit area). Basing upon this effective wavenumbers, quantities such as mass densities, bulk and shear poroelastic moduli, and diffusion coefficient are estimated at the static limit.</p></div>","PeriodicalId":17233,"journal":{"name":"Journal of Sound and Vibration","volume":null,"pages":null},"PeriodicalIF":4.3000,"publicationDate":"2024-08-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Sound and Vibration","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0022460X24004322","RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ACOUSTICS","Score":null,"Total":0}
引用次数: 0
Abstract
Many media (such as geological formations or osseous tissues) are composites made up of at least two basic materials which can themselves obey complex constitutive laws. Such composites exhibit a wide range of mechanical properties that are essential to estimate using relatively simplified formulas. Here, wave propagation in a random heterogeneous medium (the composite) consisting of a distribution of parallel poroelastic cylinders in a poroelastic matrix is considered. The cylinders and the matrix are Biot’s porous media saturated with fluid. Expressions for the three effective wavenumbers (fast, slow and shear) are provided in the low frequency range using the Conoir and Norris multiple scattering formula accounting for wave conversions, up to the order of ( is the number of cylinders per unit area). Basing upon this effective wavenumbers, quantities such as mass densities, bulk and shear poroelastic moduli, and diffusion coefficient are estimated at the static limit.
期刊介绍:
The Journal of Sound and Vibration (JSV) is an independent journal devoted to the prompt publication of original papers, both theoretical and experimental, that provide new information on any aspect of sound or vibration. There is an emphasis on fundamental work that has potential for practical application.
JSV was founded and operates on the premise that the subject of sound and vibration requires a journal that publishes papers of a high technical standard across the various subdisciplines, thus facilitating awareness of techniques and discoveries in one area that may be applicable in others.