Arnaud de Gayffier , Germaine Nefussi , Pierre Gilormini
{"title":"Transformations cycliques planes en hypoélasticité","authors":"Arnaud de Gayffier , Germaine Nefussi , Pierre Gilormini","doi":"10.1016/S1251-8069(98)80196-6","DOIUrl":null,"url":null,"abstract":"<div><p>Hypo-elasticity is a basic constituent of elastoplasticity. It is considered here in the framework of plane cyclic deformation. The variations of the stress components are studied depending on the objective derivative employed. Their value remains bounded in the general case with the Jaumann derivative. In contrast, the Green-Naghdi derivative leads to a linear increase with the number of cycles.</p></div>","PeriodicalId":100304,"journal":{"name":"Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics-Physics-Chemistry-Astronomy","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"1998-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S1251-8069(98)80196-6","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics-Physics-Chemistry-Astronomy","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S1251806998801966","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 2
Abstract
Hypo-elasticity is a basic constituent of elastoplasticity. It is considered here in the framework of plane cyclic deformation. The variations of the stress components are studied depending on the objective derivative employed. Their value remains bounded in the general case with the Jaumann derivative. In contrast, the Green-Naghdi derivative leads to a linear increase with the number of cycles.
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