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无网格迦辽金法及其在固体力学中的应用
引用本文:韩文花,徐俊.无网格迦辽金法及其在固体力学中的应用[J].上海电力学院学报,2012,28(1):89-92.
作者姓名:韩文花  徐俊
作者单位:上海电力学院电力与自动化工程学院,上海200090
基金项目:国家自然科学基金(51107080); 上海市教育委员会科研创新项目(09YZ340),上海市教育委员会重点学科建设项目(J51301)
摘    要:介绍了无网格法的研究历史和发展现状,以及移动最小二乘(MLS)法的基本原理,给出了EFG全局弱式控制方程,再将二维无网格伽辽金法应用于固体力学典型问题——悬臂梁问题,并将其结果与其解析解对比.仿真实验结果表明,EFG法能很好地处理固体力学中的有关问题.

关 键 词:无网格法  移动最小二乘法  EFG法  悬臂梁  固体力学
收稿时间:7/4/2011 12:00:00 AM

Element Free Galerkinmethod and Its Application on Solid Mechanics
HAN Wen-hua and XU Jun.Element Free Galerkinmethod and Its Application on Solid Mechanics[J].Journal of Shanghai University of Electric Power,2012,28(1):89-92.
Authors:HAN Wen-hua and XU Jun
Affiliation:(School of Electric Power and Automation Engineering,Shanghai University of Electric Power, Shanghai 200090, China)
Abstract:The research history and current state of Mesh-free methods are firstly introduced. The principle of MLS method is described emphatically. Then derivational process of EFG method controlling equation of weak form is given. Finally two dimensional EFG methods are applied to typical problem of solid mechanics, that is, cantilever. EFG's results are compared with analytical solutions. Simulation experimental results show that EFG method is fairly good to handle problems in solid mechanics.
Keywords:mesh-free method  MLS method  EFG method  cantilever  solid mechanics
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