{"title":"接触问题的拓扑导数","authors":"J. Sokołowski, A. Zochowski","doi":"10.1109/MMAR.2011.6031346","DOIUrl":null,"url":null,"abstract":"Formulae for the first order expansions of the Steklov-Poincaré operators in the case of the Laplace operator and of the elasticity boundary value problems in singularly perturbed domains in ℝ3 are presented. Such expansions are required for the evaluation of topological derivatives of the energy shape functionals.","PeriodicalId":440376,"journal":{"name":"2011 16th International Conference on Methods & Models in Automation & Robotics","volume":"14 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2011-09-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Topological derivatives for contact problems in ℝ3\",\"authors\":\"J. Sokołowski, A. Zochowski\",\"doi\":\"10.1109/MMAR.2011.6031346\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Formulae for the first order expansions of the Steklov-Poincaré operators in the case of the Laplace operator and of the elasticity boundary value problems in singularly perturbed domains in ℝ3 are presented. Such expansions are required for the evaluation of topological derivatives of the energy shape functionals.\",\"PeriodicalId\":440376,\"journal\":{\"name\":\"2011 16th International Conference on Methods & Models in Automation & Robotics\",\"volume\":\"14 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2011-09-29\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2011 16th International Conference on Methods & Models in Automation & Robotics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/MMAR.2011.6031346\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2011 16th International Conference on Methods & Models in Automation & Robotics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/MMAR.2011.6031346","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Topological derivatives for contact problems in ℝ3
Formulae for the first order expansions of the Steklov-Poincaré operators in the case of the Laplace operator and of the elasticity boundary value problems in singularly perturbed domains in ℝ3 are presented. Such expansions are required for the evaluation of topological derivatives of the energy shape functionals.
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