不可压缩正交各向异性半空间中的瑞利波

IF 1.2 4区工程技术 Q3 MATERIALS SCIENCE, CHARACTERIZATION & TESTING

Archives of Mechanics Pub Date : 2014-11-06 DOI:10.24423/AOM.1296

P. C. Vinh, N. Linh, V. Anh

{"title":"不可压缩正交各向异性半空间中的瑞利波","authors":"P. C. Vinh, N. Linh, V. Anh","doi":"10.24423/AOM.1296","DOIUrl":null,"url":null,"abstract":"The present paper is concerned with the propagation of Rayleigh waves in an orthotropic elastic half-space coated with a thin orthotropic elastic layer. The halfspace and the layer are both incompressible and they are in welded contact to each other. The main purpose of the paper is to establish an approximate secular equation of the wave. By using the effective boundary condition method an approximate secular equation of third-order in terms of the dimensionless thickness of the layer is derived. It is shown that this approximate secular equation has high accuracy. From it an approximate formula of third-order for the velocity of Rayleigh waves is obtained and it is a good approximation. The obtained approximate secular equation and formula for the velocity will be useful in practical applications.","PeriodicalId":8280,"journal":{"name":"Archives of Mechanics","volume":"66 1","pages":"173-184"},"PeriodicalIF":1.2000,"publicationDate":"2014-11-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"8","resultStr":"{\"title\":\"Rayleigh waves in an incompressible orthotropic half-space coated by a thin elastic layer\",\"authors\":\"P. C. Vinh, N. Linh, V. Anh\",\"doi\":\"10.24423/AOM.1296\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The present paper is concerned with the propagation of Rayleigh waves in an orthotropic elastic half-space coated with a thin orthotropic elastic layer. The halfspace and the layer are both incompressible and they are in welded contact to each other. The main purpose of the paper is to establish an approximate secular equation of the wave. By using the effective boundary condition method an approximate secular equation of third-order in terms of the dimensionless thickness of the layer is derived. It is shown that this approximate secular equation has high accuracy. From it an approximate formula of third-order for the velocity of Rayleigh waves is obtained and it is a good approximation. The obtained approximate secular equation and formula for the velocity will be useful in practical applications.\",\"PeriodicalId\":8280,\"journal\":{\"name\":\"Archives of Mechanics\",\"volume\":\"66 1\",\"pages\":\"173-184\"},\"PeriodicalIF\":1.2000,\"publicationDate\":\"2014-11-06\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"8\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Archives of Mechanics\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://doi.org/10.24423/AOM.1296\",\"RegionNum\":4,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATERIALS SCIENCE, CHARACTERIZATION & TESTING\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Archives of Mechanics","FirstCategoryId":"5","ListUrlMain":"https://doi.org/10.24423/AOM.1296","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATERIALS SCIENCE, CHARACTERIZATION & TESTING","Score":null,"Total":0}

引用次数: 8

摘要

本文研究了瑞利波在涂有薄的正交各向异性弹性层的正交各向异性弹性半空间中的传播。半空间和层都是不可压缩的，它们彼此焊接接触。本文的主要目的是建立波浪的近似长期方程。利用有效边界条件法，导出了以无量纲厚度为单位的三阶近似长期方程。结果表明，该近似长期方程具有较高的精度。由此得到瑞利波速度的三阶近似公式，它是一个很好的近似。所得速度的近似长期方程和公式在实际应用中具有一定的实用价值。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Rayleigh waves in an incompressible orthotropic half-space coated by a thin elastic layer

The present paper is concerned with the propagation of Rayleigh waves in an orthotropic elastic half-space coated with a thin orthotropic elastic layer. The halfspace and the layer are both incompressible and they are in welded contact to each other. The main purpose of the paper is to establish an approximate secular equation of the wave. By using the effective boundary condition method an approximate secular equation of third-order in terms of the dimensionless thickness of the layer is derived. It is shown that this approximate secular equation has high accuracy. From it an approximate formula of third-order for the velocity of Rayleigh waves is obtained and it is a good approximation. The obtained approximate secular equation and formula for the velocity will be useful in practical applications.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Archives of Mechanics 工程技术-材料科学：表征与测试

CiteScore

1.40

自引率

12.50%

发文量

审稿时长

>12 weeks

期刊介绍： Archives of Mechanics provides a forum for original research on mechanics of solids, fluids and discrete systems, including the development of mathematical methods for solving mechanical problems. The journal encompasses all aspects of the field, with the emphasis placed on: -mechanics of materials: elasticity, plasticity, time-dependent phenomena, phase transformation, damage, fracture; physical and experimental foundations, micromechanics, thermodynamics, instabilities; -methods and problems in continuum mechanics: general theory and novel applications, thermomechanics, structural analysis, porous media, contact problems; -dynamics of material systems; -fluid flows and interactions with solids. Papers published in the Archives should contain original contributions dealing with theoretical, experimental, or numerical aspects of mechanical problems listed above. The journal publishes also current announcements and information about important scientific events of possible interest to its readers, like conferences, congresses, symposia, work-shops, courses, etc. Occasionally, special issues of the journal may be devoted to publication of all or selected papers presented at international conferences or other scientific meetings. However, all papers intended for such an issue are subjected to the usual reviewing and acceptance procedure.