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无网格Galerkin法与有限元耦合新算法

New Algorithm of Coupling Element-Free Galerkin With Finite Element Method

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【作者】 赵光明宋顺成

【Author】 ZHAO Guang_ming~(1,2),SONG Shun_cheng~1(1.Department of Applied Mechanics and Engineering,Southwest Jiaotong University,Chengdu 610031,P.R.China;2.Department of Resource Exploration and Management Engineering,Anhui University of Science and Technology,Huainan,Anhui 232001,P.R.China)

【机构】 西南交通大学应用力学与工程系西南交通大学应用力学与工程系 成都610031安徽理工大学资源开发与管理工程系安徽淮南232001成都610031

【摘要】 通过构造新的斜坡函数,把无网格Galerkin法与有限元耦合算法应用到全域范围,并使其能适应不同连接域内单元结点构成,既满足了本质边界条件实现的需要,又能方便灵活的布置无网格点和有限元法中的单元,满足复杂计算要求.计算结果与理论解比较表明所提出的方法是可行和有效的.

【Abstract】 Through the construction of a new ramp function, the element_free Galerkin method and finite element coupling method were applied to the whole field, and was made fit for the structure of element nodes within the interface regions, both satisfying the essential boundary conditions and deploying meshless nodes and finite elements in a convenient and flexible way, which can meet the requirements of computation for complicated field. The comparison between the results of the present study and the corresponding analytical solutions shows this method is feasible and effective.

  • 【文献出处】 应用数学和力学 ,Applied Mathematics and Mechanics , 编辑部邮箱 ,2005年08期
  • 【分类号】O302
  • 【被引频次】11
  • 【下载频次】349
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