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无网格法与有限元法的耦合在线弹性断裂力学中的应用
引用本文:钱德玲,程媛媛,边燕飞.无网格法与有限元法的耦合在线弹性断裂力学中的应用[J].合肥工业大学学报(自然科学版),2009,32(7).
作者姓名:钱德玲  程媛媛  边燕飞
作者单位:合肥工业大学,土木与水利工程学院,安徽,合肥,230009
摘    要:文章采用无网格Galerkin方法与有限元(EFG-FE)耦合的方法来计算裂纹问题,这种耦合的方法不仅解决了无网格Galerkin法力学边界条件施加的难点,而且还克服了无网格Galerkin法耗时较多的缺点;运用线弹性断裂力学理论,分别采用了线性基函数、二次基函数和部分扩展基,对有限板单边裂纹的应力强度因子和受拉中心斜裂纹方形板进行了分析,数值计算结果表明了方法的有效性.

关 键 词:无网格Galerkin法  应力强度因子

Study on the application of a coupled element-free Galerkin-finite element method in linear elastic fracture mechanics
QIAN De-ling,CHENG Yuan-yuan,BIAN Yan-fei.Study on the application of a coupled element-free Galerkin-finite element method in linear elastic fracture mechanics[J].Journal of Hefei University of Technology(Natural Science),2009,32(7).
Authors:QIAN De-ling  CHENG Yuan-yuan  BIAN Yan-fei
Abstract:The fracture problems are calculated with a coupled element-free Galerkin-finite element method. The method not only treats essential boundary conditions easily,but it also improves computation efficiency. Based on the theory of linear elastic fracture mechanics,the linear basis function,quadratic basis function and partially enriched basis function are used to analyze the stress intensity factors and the normalized stress intensity factors of the finite plates with single edge crack and a rectangular plate with a center crack under a distributed load. The numerical calculation results reveal the effectiveness of the present method.
Keywords:EFG-FE  element-free Galerkin(EFG) method  element-free Galerkin-finite element(EFG-FE)  stress intensity factor
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