G. Allaire, L. Cavallina, Nobuhito Miyake, Tomoyuki Oka, Toshiaki Yachimura
{"title":"结构拓扑优化的均匀化方法:新旧","authors":"G. Allaire, L. Cavallina, Nobuhito Miyake, Tomoyuki Oka, Toshiaki Yachimura","doi":"10.4036/iis.2019.b.01","DOIUrl":null,"url":null,"abstract":"These are the lecture notes of a short course on the homogenization method for topology optimization of structures, given by Gr\\'egoire Allaire, during the \"GSIS International Summer School 2018\" at Tohoku University (Sendai, Japan). The goal of this course is to review the necessary mathematical tools of homogenization theory and apply them to topology optimization of mechanical structures. The ultimate application, targeted in this course, is the topology optimization of structures built with lattice materials. Practical and numerical exercises are given, based on the finite element free software FreeFem++.","PeriodicalId":91087,"journal":{"name":"Interdisciplinary information sciences","volume":"1 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2019-01-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.4036/iis.2019.b.01","citationCount":"11","resultStr":"{\"title\":\"The Homogenization Method for Topology Optimization of Structures: Old and New\",\"authors\":\"G. Allaire, L. Cavallina, Nobuhito Miyake, Tomoyuki Oka, Toshiaki Yachimura\",\"doi\":\"10.4036/iis.2019.b.01\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"These are the lecture notes of a short course on the homogenization method for topology optimization of structures, given by Gr\\\\'egoire Allaire, during the \\\"GSIS International Summer School 2018\\\" at Tohoku University (Sendai, Japan). The goal of this course is to review the necessary mathematical tools of homogenization theory and apply them to topology optimization of mechanical structures. The ultimate application, targeted in this course, is the topology optimization of structures built with lattice materials. Practical and numerical exercises are given, based on the finite element free software FreeFem++.\",\"PeriodicalId\":91087,\"journal\":{\"name\":\"Interdisciplinary information sciences\",\"volume\":\"1 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-01-27\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.4036/iis.2019.b.01\",\"citationCount\":\"11\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Interdisciplinary information sciences\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.4036/iis.2019.b.01\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Interdisciplinary information sciences","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.4036/iis.2019.b.01","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The Homogenization Method for Topology Optimization of Structures: Old and New
These are the lecture notes of a short course on the homogenization method for topology optimization of structures, given by Gr\'egoire Allaire, during the "GSIS International Summer School 2018" at Tohoku University (Sendai, Japan). The goal of this course is to review the necessary mathematical tools of homogenization theory and apply them to topology optimization of mechanical structures. The ultimate application, targeted in this course, is the topology optimization of structures built with lattice materials. Practical and numerical exercises are given, based on the finite element free software FreeFem++.
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