{"title":"An angular dislocation in an anisotropic medium","authors":"R. Bonnet, S. Neily","doi":"10.1080/09500839.2021.2005266","DOIUrl":null,"url":null,"abstract":"ABSTRACT The elastic field of an angular dislocation determined by Yoffe ([The angular dislocation. Phil. Mag. 5(50) (1960), pp. 161–175]) using isotropic elasticity is a convenient tool for modelling defects in very different materials such as crystalline media or the Earth’s crust deformed by internal shifts. We show that the anisotropy of the medium can be introduced in two ways to solve the same problem, one using an integral formalism and the other the Green’s tensor attached to a homogeneous medium. β’ CuZn brass, which has a strong elastic anisotropy, is treated with the two methods, and the results are compared.","PeriodicalId":19860,"journal":{"name":"Philosophical Magazine Letters","volume":"102 1","pages":"121 - 132"},"PeriodicalIF":1.2000,"publicationDate":"2021-11-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Philosophical Magazine Letters","FirstCategoryId":"88","ListUrlMain":"https://doi.org/10.1080/09500839.2021.2005266","RegionNum":4,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATERIALS SCIENCE, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
ABSTRACT The elastic field of an angular dislocation determined by Yoffe ([The angular dislocation. Phil. Mag. 5(50) (1960), pp. 161–175]) using isotropic elasticity is a convenient tool for modelling defects in very different materials such as crystalline media or the Earth’s crust deformed by internal shifts. We show that the anisotropy of the medium can be introduced in two ways to solve the same problem, one using an integral formalism and the other the Green’s tensor attached to a homogeneous medium. β’ CuZn brass, which has a strong elastic anisotropy, is treated with the two methods, and the results are compared.
期刊介绍：
Philosophical Magazine Letters is the rapid communications part of the highly respected Philosophical Magazine, which was first published in 1798. Its Editors consider for publication short and timely contributions in the field of condensed matter describing original results, theories and concepts relating to the structure and properties of crystalline materials, ceramics, polymers, glasses, amorphous films, composites and soft matter. Articles emphasizing experimental, theoretical and modelling studies on solids, especially those that interpret behaviour on a microscopic, atomic or electronic scale, are particularly appropriate.
Manuscripts are considered on the strict condition that they have been submitted only to Philosophical Magazine Letters , that they have not been published already, and that they are not under consideration for publication elsewhere.
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