{"title":"还原和选择积分法在微弹性理论问题中的应用","authors":"A. V. Romanov","doi":"10.3103/S002713302470002X","DOIUrl":null,"url":null,"abstract":"<p>In this paper, a variational principle of Lagrange, the Ritz method, and piecewise polynomial shape functions of brick family ‘‘linear’’ element are used to obtain reduced and selective integration techniques in a form of the tensor-block stiffness matrices to prevent the locking effect for nearly incompressible, isotropic, and centrally symmetric material of the micropolar theory of elasticity.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"79 1","pages":"1 - 5"},"PeriodicalIF":0.3000,"publicationDate":"2024-05-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Application of the Reduced and Selected Integration Method in Problems of Micropolar Elasticity Theory\",\"authors\":\"A. V. Romanov\",\"doi\":\"10.3103/S002713302470002X\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>In this paper, a variational principle of Lagrange, the Ritz method, and piecewise polynomial shape functions of brick family ‘‘linear’’ element are used to obtain reduced and selective integration techniques in a form of the tensor-block stiffness matrices to prevent the locking effect for nearly incompressible, isotropic, and centrally symmetric material of the micropolar theory of elasticity.</p>\",\"PeriodicalId\":710,\"journal\":{\"name\":\"Moscow University Mechanics Bulletin\",\"volume\":\"79 1\",\"pages\":\"1 - 5\"},\"PeriodicalIF\":0.3000,\"publicationDate\":\"2024-05-13\",\"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/S002713302470002X\",\"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/S002713302470002X","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MECHANICS","Score":null,"Total":0}
Application of the Reduced and Selected Integration Method in Problems of Micropolar Elasticity Theory
In this paper, a variational principle of Lagrange, the Ritz method, and piecewise polynomial shape functions of brick family ‘‘linear’’ element are used to obtain reduced and selective integration techniques in a form of the tensor-block stiffness matrices to prevent the locking effect for nearly incompressible, isotropic, and centrally symmetric material of the micropolar theory of elasticity.
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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