Takashi Matsushima , René Chambon , Denis Caillerie
{"title":"第二梯度模型作为微结构模型的特例:大应变有限元分析","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":"{\"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}","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}
Second gradient models as a particular case of microstructured models: a large strain finite elements analysis
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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