还原和选择积分法在微弹性理论问题中的应用

IF 0.3 Q4 MECHANICS

Moscow University Mechanics Bulletin Pub Date : 2024-05-13 DOI:10.3103/S002713302470002X

A. V. Romanov

{"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}

引用次数: 0

摘要

摘要本文利用拉格朗日变分原理、里兹法和砖族"'线性'"元素的分片多项式形状函数，获得了张量块刚度矩阵形式的简化和选择性积分技术，以防止弹性微波理论中几乎不可压缩、各向同性和中心对称材料的锁定效应。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Application of the Reduced and Selected Integration Method in Problems of Micropolar Elasticity Theory

查看原文本刊更多论文

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.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Moscow University Mechanics Bulletin MECHANICS-

CiteScore

0.60

自引率

0.00%

发文量

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.