基于 Cosserat 弹性理论的纤维增强固体模型中的准凸性

IF 1.7 4区工程技术 Q3 MATERIALS SCIENCE, MULTIDISCIPLINARY

Mathematics and Mechanics of Solids Pub Date : 2024-01-02 DOI:10.1177/10812865231217640

M. Shirani, Mircea Bîrsan, D. Steigmann

{"title":"基于 Cosserat 弹性理论的纤维增强固体模型中的准凸性","authors":"M. Shirani, Mircea Bîrsan, D. Steigmann","doi":"10.1177/10812865231217640","DOIUrl":null,"url":null,"abstract":"The quasiconvexity inequality associated with energy minimizers is derived in the context of a nonlinear Cosserat elasticity theory for fiber-reinforced elastic solids in which the intrinsic flexural and torsional elasticities of the fibers are taken into account explicitly. The derivation accounts for non-standard kinematic constraints, associated with the materiality of the embedded fibers, connecting the deformation gradient and the Cosserat rotation field.","PeriodicalId":49854,"journal":{"name":"Mathematics and Mechanics of Solids","volume":"142 24","pages":""},"PeriodicalIF":1.7000,"publicationDate":"2024-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Quasiconvexity in a model of fiber-reinforced solids based on Cosserat elasticity theory\",\"authors\":\"M. Shirani, Mircea Bîrsan, D. Steigmann\",\"doi\":\"10.1177/10812865231217640\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The quasiconvexity inequality associated with energy minimizers is derived in the context of a nonlinear Cosserat elasticity theory for fiber-reinforced elastic solids in which the intrinsic flexural and torsional elasticities of the fibers are taken into account explicitly. The derivation accounts for non-standard kinematic constraints, associated with the materiality of the embedded fibers, connecting the deformation gradient and the Cosserat rotation field.\",\"PeriodicalId\":49854,\"journal\":{\"name\":\"Mathematics and Mechanics of Solids\",\"volume\":\"142 24\",\"pages\":\"\"},\"PeriodicalIF\":1.7000,\"publicationDate\":\"2024-01-02\",\"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/10.1177/10812865231217640\",\"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/10.1177/10812865231217640","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

与能量最小化相关的准凸不等式是在纤维增强弹性固体的非线性 Cosserat 弹性理论背景下推导出来的，其中明确考虑了纤维的内在弯曲和扭转弹性。该推导考虑了与嵌入纤维的材料性相关的非标准运动学约束，将变形梯度和 Cosserat 旋转场联系起来。

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

Quasiconvexity in a model of fiber-reinforced solids based on Cosserat elasticity theory

The quasiconvexity inequality associated with energy minimizers is derived in the context of a nonlinear Cosserat elasticity theory for fiber-reinforced elastic solids in which the intrinsic flexural and torsional elasticities of the fibers are taken into account explicitly. The derivation accounts for non-standard kinematic constraints, associated with the materiality of the embedded fibers, connecting the deformation gradient and the Cosserat rotation field.

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).