{"title":"Analysis of dynamic anti-plane characteristics of circular laminated structures with bimaterial media","authors":"Linzhan Wang, Jie Yang, Fenghua Cao, Mingliang Yu","doi":"10.1007/s00707-024-04037-3","DOIUrl":null,"url":null,"abstract":"<div><p>The dynamic response of a double-layered circular region under anti-plane linear loads is investigated using the complex function method. The scattering wave functions for each layer are provided, and the total wave field functions for each layer are formulated through the superposition principle. By establishing an infinite linear equation system with unknown coefficients based on the boundary conditions, finite term truncation is performed to obtain the dynamic stress concentration coefficient of the circular hole defect. Furthermore, a specific example is presented to discuss both the validity of the theory and numerical results regarding this factor.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"235 10","pages":"6157 - 6168"},"PeriodicalIF":2.3000,"publicationDate":"2024-07-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Acta Mechanica","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1007/s00707-024-04037-3","RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MECHANICS","Score":null,"Total":0}
引用次数: 0
Abstract
The dynamic response of a double-layered circular region under anti-plane linear loads is investigated using the complex function method. The scattering wave functions for each layer are provided, and the total wave field functions for each layer are formulated through the superposition principle. By establishing an infinite linear equation system with unknown coefficients based on the boundary conditions, finite term truncation is performed to obtain the dynamic stress concentration coefficient of the circular hole defect. Furthermore, a specific example is presented to discuss both the validity of the theory and numerical results regarding this factor.
期刊介绍:
Since 1965, the international journal Acta Mechanica has been among the leading journals in the field of theoretical and applied mechanics. In addition to the classical fields such as elasticity, plasticity, vibrations, rigid body dynamics, hydrodynamics, and gasdynamics, it also gives special attention to recently developed areas such as non-Newtonian fluid dynamics, micro/nano mechanics, smart materials and structures, and issues at the interface of mechanics and materials. The journal further publishes papers in such related fields as rheology, thermodynamics, and electromagnetic interactions with fluids and solids. In addition, articles in applied mathematics dealing with significant mechanics problems are also welcome.