{"title":"Rayleigh Wave Propagation in Micropolar Layered Media with Perfect and Slip Interfaces","authors":"Santanu Manna, Deepak, Manasa Bhat","doi":"10.1007/s10659-025-10143-7","DOIUrl":null,"url":null,"abstract":"<div><p>This study investigates the dispersion of Rayleigh waves propagating in fiber-reinforced medium over a compressible porous semi-infinite medium under the influence of micropolar elasticity. Perfect and slip boundary conditions are applied on the interface of stratum and substrate to yield the dispersion relation. The model incorporates one of the most effective scheme, the Finite Difference Scheme (FDS) to compute the phase velocities and group velocities of Rayleigh waves. Stability condition of FDS has been derived for the phase velocity and group velocity. The effects of porosity, reinforcement, and micropolarity on Rayleigh waves propagation are studied graphically. A higher mode of the dispersion curve is also analyzed with respect to welded (perfect) and slip boundary conditions.</p></div>","PeriodicalId":624,"journal":{"name":"Journal of Elasticity","volume":"157 3","pages":""},"PeriodicalIF":1.4000,"publicationDate":"2025-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Elasticity","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1007/s10659-025-10143-7","RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"ENGINEERING, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
This study investigates the dispersion of Rayleigh waves propagating in fiber-reinforced medium over a compressible porous semi-infinite medium under the influence of micropolar elasticity. Perfect and slip boundary conditions are applied on the interface of stratum and substrate to yield the dispersion relation. The model incorporates one of the most effective scheme, the Finite Difference Scheme (FDS) to compute the phase velocities and group velocities of Rayleigh waves. Stability condition of FDS has been derived for the phase velocity and group velocity. The effects of porosity, reinforcement, and micropolarity on Rayleigh waves propagation are studied graphically. A higher mode of the dispersion curve is also analyzed with respect to welded (perfect) and slip boundary conditions.
期刊介绍：
The Journal of Elasticity was founded in 1971 by Marvin Stippes (1922-1979), with its main purpose being to report original and significant discoveries in elasticity. The Journal has broadened in scope over the years to include original contributions in the physical and mathematical science of solids. The areas of rational mechanics, mechanics of materials, including theories of soft materials, biomechanics, and engineering sciences that contribute to fundamental advancements in understanding and predicting the complex behavior of solids are particularly welcomed. The role of elasticity in all such behavior is well recognized and reporting significant discoveries in elasticity remains important to the Journal, as is its relation to thermal and mass transport, electromagnetism, and chemical reactions. Fundamental research that applies the concepts of physics and elements of applied mathematical science is of particular interest. Original research contributions will appear as either full research papers or research notes. Well-documented historical essays and reviews also are welcomed. Materials that will prove effective in teaching will appear as classroom notes. Computational and/or experimental investigations that emphasize relationships to the modeling of the novel physical behavior of solids at all scales are of interest. Guidance principles for content are to be found in the current interests of the Editorial Board.
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