{"title":"非等温过程弹性微极理论中的拉格朗日变分原理","authors":"A. V. Romanov","doi":"10.3103/S0027133023040052","DOIUrl":null,"url":null,"abstract":"<p>In this paper, a variational principle of Lagrange, the Ritz\nmethod, and piecewise polynomial serendipity shape functions are\nused to obtain a stiffness matrix and a system of linear algebraic\nequations in the micropolar theory of elasticity for anisotropic,\nisotropic, and centrally symmetric material in case of a\nnonisothermal process.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"78 4","pages":"114 - 118"},"PeriodicalIF":0.3000,"publicationDate":"2023-11-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On the Variational Principle of Lagrange in the Micropolar Theory of Elasticity at Nonisothermal Processes\",\"authors\":\"A. V. Romanov\",\"doi\":\"10.3103/S0027133023040052\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>In this paper, a variational principle of Lagrange, the Ritz\\nmethod, and piecewise polynomial serendipity shape functions are\\nused to obtain a stiffness matrix and a system of linear algebraic\\nequations in the micropolar theory of elasticity for anisotropic,\\nisotropic, and centrally symmetric material in case of a\\nnonisothermal process.</p>\",\"PeriodicalId\":710,\"journal\":{\"name\":\"Moscow University Mechanics Bulletin\",\"volume\":\"78 4\",\"pages\":\"114 - 118\"},\"PeriodicalIF\":0.3000,\"publicationDate\":\"2023-11-13\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Moscow University Mechanics Bulletin\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://link.springer.com/article/10.3103/S0027133023040052\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MECHANICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Moscow University Mechanics Bulletin","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.3103/S0027133023040052","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MECHANICS","Score":null,"Total":0}
On the Variational Principle of Lagrange in the Micropolar Theory of Elasticity at Nonisothermal Processes
In this paper, a variational principle of Lagrange, the Ritz
method, and piecewise polynomial serendipity shape functions are
used to obtain a stiffness matrix and a system of linear algebraic
equations in the micropolar theory of elasticity for anisotropic,
isotropic, and centrally symmetric material in case of a
nonisothermal process.
期刊介绍：
Moscow University Mechanics Bulletin is the journal of scientific publications, reflecting the most important areas of mechanics at Lomonosov Moscow State University. The journal is dedicated to research in theoretical mechanics, applied mechanics and motion control, hydrodynamics, aeromechanics, gas and wave dynamics, theory of elasticity, theory of elasticity and mechanics of composites.
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