Takashi Matsushima , René Chambon , Denis Caillerie
{"title":"Second gradient models as a particular case of microstructured models: a large strain finite elements analysis","authors":"Takashi Matsushima , René Chambon , Denis Caillerie","doi":"10.1016/S1287-4620(00)00110-1","DOIUrl":null,"url":null,"abstract":"<div><p>Second gradient models are usually non local. Recently local second gradient models have been developed. They can be seen as a particular case of microstructured media which obey a kinematic constraint. It is then easy to build up a large strain finite element method useful for 1D as well as for 2D or 3D problems. A one-dimensional example is finally given.</p></div>","PeriodicalId":100303,"journal":{"name":"Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics-Physics-Astronomy","volume":"328 2","pages":"Pages 179-186"},"PeriodicalIF":0.0000,"publicationDate":"2000-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S1287-4620(00)00110-1","citationCount":"29","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics-Physics-Astronomy","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S1287462000001101","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 29
Abstract
Second gradient models are usually non local. Recently local second gradient models have been developed. They can be seen as a particular case of microstructured media which obey a kinematic constraint. It is then easy to build up a large strain finite element method useful for 1D as well as for 2D or 3D problems. A one-dimensional example is finally given.
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