不可压缩非格林弹性圆柱环的圆周剪切力

IF 1.7 4区工程技术 Q3 MATERIALS SCIENCE, MULTIDISCIPLINARY Mathematics and Mechanics of Solids Pub Date : 2023-12-14 DOI:10.1177/10812865231207401

R. Bustamante, K. Rajagopal, Oscar Orellana

{"title":"不可压缩非格林弹性圆柱环的圆周剪切力","authors":"R. Bustamante, K. Rajagopal, Oscar Orellana","doi":"10.1177/10812865231207401","DOIUrl":null,"url":null,"abstract":"The circumferential shear of a nonlinear isotropic incompressible elastic annulus is studied using the neo-Hookean, Ogden constitutive relations in addition to a new constitutive relation for the Hencky strain in terms of the Cauchy stress. The predictions of the three constitutive relations to the specific boundary value problem are delineated. In view of the predictions being quite distinct between the new constitutive relation studied and that for the Ogden constitutive relation, it would be worthwhile to carry out an experiment to determine the efficacy of the models.","PeriodicalId":49854,"journal":{"name":"Mathematics and Mechanics of Solids","volume":"2017 9","pages":""},"PeriodicalIF":1.7000,"publicationDate":"2023-12-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Circumferential shear for an incompressible non-Green elastic cylindrical annulus\",\"authors\":\"R. Bustamante, K. Rajagopal, Oscar Orellana\",\"doi\":\"10.1177/10812865231207401\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The circumferential shear of a nonlinear isotropic incompressible elastic annulus is studied using the neo-Hookean, Ogden constitutive relations in addition to a new constitutive relation for the Hencky strain in terms of the Cauchy stress. The predictions of the three constitutive relations to the specific boundary value problem are delineated. In view of the predictions being quite distinct between the new constitutive relation studied and that for the Ogden constitutive relation, it would be worthwhile to carry out an experiment to determine the efficacy of the models.\",\"PeriodicalId\":49854,\"journal\":{\"name\":\"Mathematics and Mechanics of Solids\",\"volume\":\"2017 9\",\"pages\":\"\"},\"PeriodicalIF\":1.7000,\"publicationDate\":\"2023-12-14\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mathematics and Mechanics of Solids\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://doi.org/10.1177/10812865231207401\",\"RegionNum\":4,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATERIALS SCIENCE, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematics and Mechanics of Solids","FirstCategoryId":"5","ListUrlMain":"https://doi.org/10.1177/10812865231207401","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATERIALS SCIENCE, MULTIDISCIPLINARY","Score":null,"Total":0}

引用次数: 0

摘要

研究了非线性各向同性不可压缩弹性环面的圆周剪切力，使用了新胡肯和奥格登构成关系，以及一种新的以考奇应力表示的亨茨基应变构成关系。这三种构成关系对特定边界值问题的预测结果得到了描述。鉴于所研究的新构成关系与奥格登构成关系的预测结果截然不同，因此值得进行实验来确定模型的有效性。

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

微信好友朋友圈 QQ好友复制链接

本刊更多论文

Circumferential shear for an incompressible non-Green elastic cylindrical annulus

The circumferential shear of a nonlinear isotropic incompressible elastic annulus is studied using the neo-Hookean, Ogden constitutive relations in addition to a new constitutive relation for the Hencky strain in terms of the Cauchy stress. The predictions of the three constitutive relations to the specific boundary value problem are delineated. In view of the predictions being quite distinct between the new constitutive relation studied and that for the Ogden constitutive relation, it would be worthwhile to carry out an experiment to determine the efficacy of the models.

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

Mathematics and Mechanics of Solids 工程技术-材料科学：综合

CiteScore

4.80

自引率

19.20%

发文量

159

审稿时长

1 months

期刊介绍： Mathematics and Mechanics of Solids is an international peer-reviewed journal that publishes the highest quality original innovative research in solid mechanics and materials science. The central aim of MMS is to publish original, well-written and self-contained research that elucidates the mechanical behaviour of solids with particular emphasis on mathematical principles. This journal is a member of the Committee on Publication Ethics (COPE).