{"title":"线弹性应变下的孤立微观结构","authors":"Kewei Zhang","doi":"10.1098/rspa.2004.1334","DOIUrl":null,"url":null,"abstract":"We show in the geometrically linear multi–well models for material microstructure that ‘scaling’ or distance between the locations of the wells can be a factor to separate microstructures. We give conditions that prevent large–scale microstructures. At the same time, scale preserves local microstructure for wells located close to one another. We also give some quantitative estimates of the scalings needed to separate microstructures.","PeriodicalId":20722,"journal":{"name":"Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2004-10-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":"{\"title\":\"Isolated microstructures on linear elastic strains\",\"authors\":\"Kewei Zhang\",\"doi\":\"10.1098/rspa.2004.1334\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We show in the geometrically linear multi–well models for material microstructure that ‘scaling’ or distance between the locations of the wells can be a factor to separate microstructures. We give conditions that prevent large–scale microstructures. At the same time, scale preserves local microstructure for wells located close to one another. We also give some quantitative estimates of the scalings needed to separate microstructures.\",\"PeriodicalId\":20722,\"journal\":{\"name\":\"Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2004-10-08\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"5\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1098/rspa.2004.1334\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1098/rspa.2004.1334","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Isolated microstructures on linear elastic strains
We show in the geometrically linear multi–well models for material microstructure that ‘scaling’ or distance between the locations of the wells can be a factor to separate microstructures. We give conditions that prevent large–scale microstructures. At the same time, scale preserves local microstructure for wells located close to one another. We also give some quantitative estimates of the scalings needed to separate microstructures.
期刊介绍:
Proceedings A publishes articles across the chemical, computational, Earth, engineering, mathematical, and physical sciences. The articles published are high-quality, original, fundamental articles of interest to a wide range of scientists, and often have long citation half-lives. As well as established disciplines, we encourage emerging and interdisciplinary areas.