{"title":"水平层状固体中的圆柱瑞利波","authors":"Binwu Yu, Ji Wang, Zhanyu Bu","doi":"10.1134/S0025654423602367","DOIUrl":null,"url":null,"abstract":"<p>The model of horizontal layered structure in elastic solids has a wide range of applications in our real-world scientific research. To explore the propagation characteristics of cylindrical Rayleigh waves in a horizontally layered structure, we decompose the displacement using the Helmholtz decomposition method in the cylindrical coordinate system in order to use potential functions to describe the displacement and stress of the medium. Following this, the paper employs the transfer matrix method to derive the dynamic equations of axisymmetric Rayleigh waves in a horizontally layered elastic solid. After that, the equations are solved to obtain the Rayleigh wave dispersion curves and displacement expressions with Bessel function under these conditions. Lastly, through the calculations of four representative numerical examples, this paper verifies the consistency of the algorithm in calculating cylindrical Rayleigh wave dispersion curves and its agreement with experimental measurements, while demonstrating the characteristics of cylindrical Rayleigh wave displacement.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"59 1","pages":"331 - 344"},"PeriodicalIF":0.6000,"publicationDate":"2024-06-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The Cylindrical Rayleigh Waves in Horizontal Layered Solids\",\"authors\":\"Binwu Yu, Ji Wang, Zhanyu Bu\",\"doi\":\"10.1134/S0025654423602367\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>The model of horizontal layered structure in elastic solids has a wide range of applications in our real-world scientific research. To explore the propagation characteristics of cylindrical Rayleigh waves in a horizontally layered structure, we decompose the displacement using the Helmholtz decomposition method in the cylindrical coordinate system in order to use potential functions to describe the displacement and stress of the medium. Following this, the paper employs the transfer matrix method to derive the dynamic equations of axisymmetric Rayleigh waves in a horizontally layered elastic solid. After that, the equations are solved to obtain the Rayleigh wave dispersion curves and displacement expressions with Bessel function under these conditions. Lastly, through the calculations of four representative numerical examples, this paper verifies the consistency of the algorithm in calculating cylindrical Rayleigh wave dispersion curves and its agreement with experimental measurements, while demonstrating the characteristics of cylindrical Rayleigh wave displacement.</p>\",\"PeriodicalId\":697,\"journal\":{\"name\":\"Mechanics of Solids\",\"volume\":\"59 1\",\"pages\":\"331 - 344\"},\"PeriodicalIF\":0.6000,\"publicationDate\":\"2024-06-04\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mechanics of Solids\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://link.springer.com/article/10.1134/S0025654423602367\",\"RegionNum\":4,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MECHANICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mechanics of Solids","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1134/S0025654423602367","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MECHANICS","Score":null,"Total":0}
The Cylindrical Rayleigh Waves in Horizontal Layered Solids
The model of horizontal layered structure in elastic solids has a wide range of applications in our real-world scientific research. To explore the propagation characteristics of cylindrical Rayleigh waves in a horizontally layered structure, we decompose the displacement using the Helmholtz decomposition method in the cylindrical coordinate system in order to use potential functions to describe the displacement and stress of the medium. Following this, the paper employs the transfer matrix method to derive the dynamic equations of axisymmetric Rayleigh waves in a horizontally layered elastic solid. After that, the equations are solved to obtain the Rayleigh wave dispersion curves and displacement expressions with Bessel function under these conditions. Lastly, through the calculations of four representative numerical examples, this paper verifies the consistency of the algorithm in calculating cylindrical Rayleigh wave dispersion curves and its agreement with experimental measurements, while demonstrating the characteristics of cylindrical Rayleigh wave displacement.
期刊介绍：
Mechanics of Solids publishes articles in the general areas of dynamics of particles and rigid bodies and the mechanics of deformable solids. The journal has a goal of being a comprehensive record of up-to-the-minute research results. The journal coverage is vibration of discrete and continuous systems; stability and optimization of mechanical systems; automatic control theory; dynamics of multiple body systems; elasticity, viscoelasticity and plasticity; mechanics of composite materials; theory of structures and structural stability; wave propagation and impact of solids; fracture mechanics; micromechanics of solids; mechanics of granular and geological materials; structure-fluid interaction; mechanical behavior of materials; gyroscopes and navigation systems; and nanomechanics. Most of the articles in the journal are theoretical and analytical. They present a blend of basic mechanics theory with analysis of contemporary technological problems.
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