{"title":"外延应力双层结构的表面不稳定性和分层","authors":"I. Colin, J. Grilhé","doi":"10.1080/01418610208240055","DOIUrl":null,"url":null,"abstract":"Abstract The possibility for a localized roughness to develop has been investigated at the intersection of the interface and the free surface of an epitaxially stressed bilayer. After a general derivation of the elastic energy variation due to a localized fluctuation of the surface described by a function h, the stability of the free surface with respect to two particular fluctuations has been characterized as a function of the lattice mismatch between the two layers. The formation of cracks from the localized roughness is finally discussed.","PeriodicalId":114492,"journal":{"name":"Philosophical Magazine A","volume":"82 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2002-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":"{\"title\":\"Surface instability and delamination of epitaxially stressed bilayers\",\"authors\":\"I. Colin, J. Grilhé\",\"doi\":\"10.1080/01418610208240055\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract The possibility for a localized roughness to develop has been investigated at the intersection of the interface and the free surface of an epitaxially stressed bilayer. After a general derivation of the elastic energy variation due to a localized fluctuation of the surface described by a function h, the stability of the free surface with respect to two particular fluctuations has been characterized as a function of the lattice mismatch between the two layers. The formation of cracks from the localized roughness is finally discussed.\",\"PeriodicalId\":114492,\"journal\":{\"name\":\"Philosophical Magazine A\",\"volume\":\"82 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2002-09-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"4\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Philosophical Magazine A\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1080/01418610208240055\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Philosophical Magazine A","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1080/01418610208240055","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Surface instability and delamination of epitaxially stressed bilayers
Abstract The possibility for a localized roughness to develop has been investigated at the intersection of the interface and the free surface of an epitaxially stressed bilayer. After a general derivation of the elastic energy variation due to a localized fluctuation of the surface described by a function h, the stability of the free surface with respect to two particular fluctuations has been characterized as a function of the lattice mismatch between the two layers. The formation of cracks from the localized roughness is finally discussed.
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