{"title":"MATHEMATICAL MODELING OF THEORY PROBLEMS ELASTICITY BY THE METHOD OF BOUNDARY EQUATIONS","authors":"D. N. Nizomov, A.I. Dadaboev","doi":"10.37538/0039-2383.2022.5.29.32","DOIUrl":null,"url":null,"abstract":"The article describes the features of mathematical modeling of a two-dimensional static problem of elasticity theory by the method of boundary integral equations. The resulting equations make it possible to investigate the stress-strain state of a plane problem under various external influences. As a result of applying the spline approximation of the boundary parameters, the system of integral equations is transformed into a system of linear algebraic equations with unknown displacement and stress components.","PeriodicalId":273885,"journal":{"name":"STRUCTURAL MECHANICS AND ANALYSIS OF CONSTRUCTIONS","volume":"856 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"STRUCTURAL MECHANICS AND ANALYSIS OF CONSTRUCTIONS","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.37538/0039-2383.2022.5.29.32","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
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Abstract
The article describes the features of mathematical modeling of a two-dimensional static problem of elasticity theory by the method of boundary integral equations. The resulting equations make it possible to investigate the stress-strain state of a plane problem under various external influences. As a result of applying the spline approximation of the boundary parameters, the system of integral equations is transformed into a system of linear algebraic equations with unknown displacement and stress components.
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