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光滑节点域有限元法 被引量：2

Node-based smoothed cells based on finite element method
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摘要 本研究采用与有限元法(finite element method,FEM)相对照的方式,论述了光滑节点域有限元法(node-based smoothed finite element method,NS-FEM)节点域的形成方式,光滑应变矩阵的求解步骤以及光滑有限元形函数的计算方法。利用matlab对典型算例进行编程分析,结果表明NS-FEM计算刚度矩阵偏软,位移和应变能为解的上限,应力、应变和应变能具有良好的计算精度且不会产生体积锁定现象等。 The new theories of node-based smoothed finite element method （NS-FEM） were discussed by means of comparison with the traditional finite element method （FEM）, which proposed formation of the node-based smoothed cells, computational methods of the smoothed strain matrix and the shape functions for NS-FEM. The analyses of typical examples were conducted by matlab, and the results showed that the NS-FEM＇ s calculation of stiffness matrix was softer than FEM＇ s, and the displacement and strain energy were the upper limit of solution. Meanwhile, there were higher ac- curacy of numerical solutions for stress, strain and strain energy, and it would not produce volume lock phenomenon.
作者 王建明 樊现行 裴信超 曹雁超
机构地区 山东大学机械工程学院
出处 《山东大学学报（工学版）》 CAS 北大核心 2013年第2期54-61,共8页 Journal of Shandong University（Engineering Science）
基金 国家高技术发展研究计划(863计划)资助项目(2012AA040910)
关键词 有限元法 光滑节点域有限元法 光滑节点域 光滑应变矩阵 光滑有限元形函数 finite element method node-based smoothed finite element method node-based smoothed cells smoothedstrain matrix shape functions for smoothed finite element method
分类号 O326 [理学—一般力学与力学基础]
  • 相关文献

参考文献18

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共引文献14

同被引文献51

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引证文献2

二级引证文献4

山东大学学报（工学版）
2013年 第2期

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