| 改进型无网格Galerkin法与有限元法的耦合及其应用研究 |
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| 引用本文： | 任学军.改进型无网格Galerkin法与有限元法的耦合及其应用研究[J].安徽建筑工业学院学报,2010(5). |
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| 作者姓名： | 任学军 |
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| 作者单位： | 合肥工业大学建筑设计研究院; |
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| 摘 要： | 采用改进型无网格Galerkin法与有限元(IEFG-FE)耦合的方法来计算裂纹问题。改进型无网格伽辽金法是基于一种改进的移动最小二乘(ani mproved moving least-squares,I MLS)近似。I MLS近似比现有的MLS近似有更高的计算效率和精度,且不会导致系统方程产生病态。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,避免系统方程产生病态,而且还克服了无网格Galerkin法耗时较多的缺点。本文运用线弹性断裂力学理论,采用加权正交基函数对有限板单边裂纹的应力强度因子和受拉单边斜裂纹矩形板进行了分析。数值计算结果表明:该方法是一种具有收敛快、精度高、简便有效的通用方法,在工程中具有广阔的应用前景。
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| 关 键 词： | IMLS IEFG IEFG-FE 应力强度因子 |
Study on the application of a coupled improved element-free Galerkin-finite element method |
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| REN Xue-jun.Study on the application of a coupled improved element-free Galerkin-finite element method[J].Journal of Anhui Institute of Architecture(Natural Science),2010(5). |
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| Authors: | REN Xue-jun |
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| Affiliation: | REN Xue-jun (Institute of Architectural Design,Hefei University,Hefei 230009,China) |
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| Abstract: | It is proposed that fracture problems is calculated with a coupled improved element-free Galerkin-finite element method.The improved element-free Galerkin method is based on an improved moving least-squares(IMLS) approximation.The IMLS approximation has greater computational efficiency and precision than the existing moving least-squares(MLS) approximation,and does not lead to an ill-conditioned system of equations.The technique not only treats essential boundary conditions easily,but also improves computat... |
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| Keywords: | improved moving least-squares approximation(IMLS) improved element-free Galerkin method(IEFG) improved element-free Galerkin-finite element method(IEFG-FE) stress intensity factors |
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