{"title":"橡胶结构数值模拟的等几何分析","authors":"S. Lejeunes, D. Eyheramendy","doi":"10.1201/9780429324710-60","DOIUrl":null,"url":null,"abstract":": In this work, we propose to discuss about the interrest of the Isogeometric Analysis as a computational framework for the numerical simulation of rubber structures with a multi-field approach. We show that we can construct stable approximations for hyperelastic problems using the same approach as that used for finite-elements. We also show that the extension to thermo-mechanical problems is very simple. Using simple numerical examples and the same variationnal formulation, we compare the numerical performance of IGA and FE.","PeriodicalId":10574,"journal":{"name":"Constitutive Models for Rubber XI","volume":"11 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2019-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Isogeometric analysis for the numerical simulation of rubber structures\",\"authors\":\"S. Lejeunes, D. Eyheramendy\",\"doi\":\"10.1201/9780429324710-60\",\"DOIUrl\":null,\"url\":null,\"abstract\":\": In this work, we propose to discuss about the interrest of the Isogeometric Analysis as a computational framework for the numerical simulation of rubber structures with a multi-field approach. We show that we can construct stable approximations for hyperelastic problems using the same approach as that used for finite-elements. We also show that the extension to thermo-mechanical problems is very simple. Using simple numerical examples and the same variationnal formulation, we compare the numerical performance of IGA and FE.\",\"PeriodicalId\":10574,\"journal\":{\"name\":\"Constitutive Models for Rubber XI\",\"volume\":\"11 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-06-07\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Constitutive Models for Rubber XI\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1201/9780429324710-60\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Constitutive Models for Rubber XI","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1201/9780429324710-60","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Isogeometric analysis for the numerical simulation of rubber structures
: In this work, we propose to discuss about the interrest of the Isogeometric Analysis as a computational framework for the numerical simulation of rubber structures with a multi-field approach. We show that we can construct stable approximations for hyperelastic problems using the same approach as that used for finite-elements. We also show that the extension to thermo-mechanical problems is very simple. Using simple numerical examples and the same variationnal formulation, we compare the numerical performance of IGA and FE.