{"title":"On the Maxwell–Eshelby relation in the theory of 6-parameter elastic shells","authors":"Mircea Bîrsan , Milad Shirani","doi":"10.1016/j.mechrescom.2025.104451","DOIUrl":null,"url":null,"abstract":"<div><div>In this work, we first derive jump conditions in addition to the balance laws and boundary conditions for 6-parameter elastic shells with a discontinuity curve. Furthermore, we obtain Hadamard compatibility conditions that must be satisfied by strain measures in the presence of a discontinuity curve. By using energy-minimizing conditions (rank-one convexity conditions), we derive Maxwell–Eshelby relations that must be satisfied.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"148 ","pages":"Article 104451"},"PeriodicalIF":1.9000,"publicationDate":"2025-06-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mechanics Research Communications","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0093641325000849","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MECHANICS","Score":null,"Total":0}
引用次数: 0
Abstract
In this work, we first derive jump conditions in addition to the balance laws and boundary conditions for 6-parameter elastic shells with a discontinuity curve. Furthermore, we obtain Hadamard compatibility conditions that must be satisfied by strain measures in the presence of a discontinuity curve. By using energy-minimizing conditions (rank-one convexity conditions), we derive Maxwell–Eshelby relations that must be satisfied.
期刊介绍:
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