{"title":"A Variational Principle of Lagrange of the Micropolar Theory of Elasticity in the Case of Transversely Isotropic Medium","authors":"A. V. Romanov","doi":"10.3103/S0027133022040045","DOIUrl":null,"url":null,"abstract":"<p>In this paper, a variational principle of Lagrange in the micropolar theory of elasticity for transversely isotropic and centrally symmetric material is formulated. The Ritz method and piecewise-polynomial serendipity shape functions are used to obtain the components of the tensor-block stiffness matrix and a system of linear equations.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"77 4","pages":"93 - 98"},"PeriodicalIF":0.3000,"publicationDate":"2022-10-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Moscow University Mechanics Bulletin","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.3103/S0027133022040045","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MECHANICS","Score":null,"Total":0}
引用次数: 2
Abstract
In this paper, a variational principle of Lagrange in the micropolar theory of elasticity for transversely isotropic and centrally symmetric material is formulated. The Ritz method and piecewise-polynomial serendipity shape functions are used to obtain the components of the tensor-block stiffness matrix and a system of linear equations.
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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