{"title":"极坐标系统中的无穷小和有限变形","authors":"","doi":"10.22337/2587-9618-2023-19-1-204-211","DOIUrl":null,"url":null,"abstract":"The deformation problem of elasticity theory with regard to nonlinear deformations is examined. The expressions of deformations through displacements in the orthogonal curvilinear coordinate system are recorded. The relations for finite deformations in cylindrical and polar coordinate systems are derived. Physical relations for finite deformations and corresponding generalized stresses are recorded. \n ","PeriodicalId":36116,"journal":{"name":"International Journal for Computational Civil and Structural Engineering","volume":"12 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2023-03-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"INFINITESIMAL AND FINITE DEFORMATIONS IN THE POLAR COORDINATE SYSTEM\",\"authors\":\"\",\"doi\":\"10.22337/2587-9618-2023-19-1-204-211\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The deformation problem of elasticity theory with regard to nonlinear deformations is examined. The expressions of deformations through displacements in the orthogonal curvilinear coordinate system are recorded. The relations for finite deformations in cylindrical and polar coordinate systems are derived. Physical relations for finite deformations and corresponding generalized stresses are recorded. \\n \",\"PeriodicalId\":36116,\"journal\":{\"name\":\"International Journal for Computational Civil and Structural Engineering\",\"volume\":\"12 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-03-29\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal for Computational Civil and Structural Engineering\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.22337/2587-9618-2023-19-1-204-211\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"Engineering\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal for Computational Civil and Structural Engineering","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.22337/2587-9618-2023-19-1-204-211","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Engineering","Score":null,"Total":0}
INFINITESIMAL AND FINITE DEFORMATIONS IN THE POLAR COORDINATE SYSTEM
The deformation problem of elasticity theory with regard to nonlinear deformations is examined. The expressions of deformations through displacements in the orthogonal curvilinear coordinate system are recorded. The relations for finite deformations in cylindrical and polar coordinate systems are derived. Physical relations for finite deformations and corresponding generalized stresses are recorded.
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