| 何沛祥,吴长春,李子然,肖奇志.无网格Galerkin法与非协调元方法的耦合[J].计算力学学报,2004,21(4):455~459 |
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| 无网格Galerkin法与非协调元方法的耦合 |
| Coupling of element-free Galerkin method and incompatible element method |
| 修订日期：2002-11-05 |
| DOI：10.7511/jslx20044080 |
| 中文关键词: 无网格Galerkin法 非协调元 分片检验 不可压缩 |
| 英文关键词:element-free Galerkin method,incompatible element,patch test,incompressible |
| 基金项目:国家自然科学基金(10172078)资助项目. |
| 何沛祥 吴长春 李子然 肖奇志 |
| [1]合肥工业大学土木建筑学院,安徽合肥230009 [2]上海交通大学建筑工程与力学学院,上海200240 [3]中国科学技术大学力学与机械工程系,安徽合肥230027 |
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| 中文摘要: |
| 无网格Galerkin法(EFGM)处理不可压缩问题时不存在自锁现象，有限元方法(FEM)也常被用来与其耦合以方便地施加边界条件和提高计算效率。在有限元方法中使用等参元，EFGM与FEM的耦合方法在处理不可压缩问题时仍然存在自锁现象。本文在有限元方法中，采用非协调元，将无网格kGalerkin法与非协调元耦合，保留了耦合方法的优点，且避免了求解不可压缩问题时的自锁现象。算例显示本文方法在分析平面应变不可压缩问题时能得到合理的结果。 |
| 英文摘要: |
| Incompatible element method is used to couple with element-free Galerkin method(EFGM). EFGM do not exhibit any locking when it is used to analysis the nearly incompressible materials. The finite element method(FEM) is coupled with EFGM so that the essential boundary conditions can be imposed easily and efficiency improved. However, when the isoparametric elements are used in FEM, the coupled method still exhibits locking. Because the incompatible element method do not exhibit any locking, incompatible elements are used in FEM to hold the above-mentioned advantages of the coupled method and avoid locking as well as. Numerical examples show that the method can pass the patch test, the displacement locking and stress instability can be avoided in incompressible calculation and reasonable results can be achieved. |
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