{"title":"正交各向异性介质下微极弹性理论的拉格朗日变分原理","authors":"A. V. Romanov","doi":"10.3103/S0027133023010041","DOIUrl":null,"url":null,"abstract":"<p>In this paper, the variational principle of Lagrange, the Ritz\nmethod and piecewise polynomial serendipity shape functions are\nused to obtain the stiffness matrix and a system of linear\nalgebraic equations in the micropolar theory of elasticity for\northotropic and centrally symmetric material.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"78 1","pages":"23 - 28"},"PeriodicalIF":0.3000,"publicationDate":"2023-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On the Variational Principle of Lagrange of the Micropolar Elasticity Theory in the Case of Orthotropic Medium\",\"authors\":\"A. V. Romanov\",\"doi\":\"10.3103/S0027133023010041\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>In this paper, the variational principle of Lagrange, the Ritz\\nmethod and piecewise polynomial serendipity shape functions are\\nused to obtain the stiffness matrix and a system of linear\\nalgebraic equations in the micropolar theory of elasticity for\\northotropic and centrally symmetric material.</p>\",\"PeriodicalId\":710,\"journal\":{\"name\":\"Moscow University Mechanics Bulletin\",\"volume\":\"78 1\",\"pages\":\"23 - 28\"},\"PeriodicalIF\":0.3000,\"publicationDate\":\"2023-06-13\",\"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/S0027133023010041\",\"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/S0027133023010041","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 of the Micropolar Elasticity Theory in the Case of Orthotropic Medium
In this paper, the variational principle of Lagrange, the Ritz
method and piecewise polynomial serendipity shape functions are
used to obtain the stiffness matrix and a system of linear
algebraic equations in the micropolar theory of elasticity for
orthotropic and centrally symmetric material.
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.