关于确定最优残余应力场的一个问题

Diagnostics, Resource and Mechanics of materials and structures Pub Date : 2021-02-01 DOI:10.17804/2410-9908.2021.1.055-063

V. V. Struzhanov

{"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}

引用次数: 0

摘要

得到了一个算子方程，其解为一个内禀(残余)应力张量，使刚性弹性体在预定区域内的应力水平降为零。证明了该方程的算子是一个收缩算子，因此该方程可以用逐次逼近法求解。给出了一个例子。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

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.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Diagnostics, Resource and Mechanics of materials and structures

自引率

0.00%

发文量