{"title":"关于确定最优残余应力场的一个问题","authors":"V. V. Struzhanov","doi":"10.17804/2410-9908.2021.1.055-063","DOIUrl":null,"url":null,"abstract":"An operator equation is obtained, the solution of which is an intrinsic (residual) stress tensor reducing the stress level to zero in a predetermined region of a rigidly loaded elastic body. It is shown that the operator of this equation is a contraction operator and, therefore, this equation can be solved by the method of successive approximations. An example is given.","PeriodicalId":11165,"journal":{"name":"Diagnostics, Resource and Mechanics of materials and structures","volume":"2008 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2021-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On one problem of determining the optimal residual stress field\",\"authors\":\"V. V. Struzhanov\",\"doi\":\"10.17804/2410-9908.2021.1.055-063\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"An operator equation is obtained, the solution of which is an intrinsic (residual) stress tensor reducing the stress level to zero in a predetermined region of a rigidly loaded elastic body. It is shown that the operator of this equation is a contraction operator and, therefore, this equation can be solved by the method of successive approximations. An example is given.\",\"PeriodicalId\":11165,\"journal\":{\"name\":\"Diagnostics, Resource and Mechanics of materials and structures\",\"volume\":\"2008 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2021-02-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Diagnostics, Resource and Mechanics of materials and structures\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.17804/2410-9908.2021.1.055-063\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Diagnostics, Resource and Mechanics of materials and structures","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.17804/2410-9908.2021.1.055-063","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On one problem of determining the optimal residual stress field
An operator equation is obtained, the solution of which is an intrinsic (residual) stress tensor reducing the stress level to zero in a predetermined region of a rigidly loaded elastic body. It is shown that the operator of this equation is a contraction operator and, therefore, this equation can be solved by the method of successive approximations. An example is given.
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