| 边界奇异权方法在无网格伽辽金方法中的应用 |
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| 引用本文： | 刘永辉,赵国群,王卫东,李辉平.边界奇异权方法在无网格伽辽金方法中的应用[J].山东大学学报(工学版),2003,33(6):597-600. |
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| 作者姓名： | 刘永辉 赵国群 王卫东 李辉平 |
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| 作者单位： | 山东大学,材料科学与工程学院模具工程技术研究中心,山东,济南,250061 |
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| 基金项目： | 教育部跨世纪优秀人才计划基金资助项目 |
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| 摘 要： | 根据变分原理 ,采用边界奇异权方法满足本质边界条件 ,推导出二维弹性问题的无网格伽辽金方法的离散方程 ;通过在求解应力应变的过程中使用非奇异权函数 ,解决了奇异点上应力应变的计算问题 .数值计算结果表明该方法不仅形式简单、易于实施 ,而且具有稳定性好和精度高的特点
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| 关 键 词： | 无网格伽辽金方法 移动的最小二乘 权函数 本质边界条件 边界奇异权法 |
| 文章编号： | 1672-3961(2003)06-0597-04 |
| 修稿时间： | 2002年10月8日 |
Application of boundary singular kernel method in element free Galerkin method |
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| LIU Yong-hui,ZHAO Guo-qun,WANG Wei-dong,LI Hui-ping.Application of boundary singular kernel method in element free Galerkin method[J].Journal of Shandong University of Technology,2003,33(6):597-600. |
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| Authors: | LIU Yong-hui ZHAO Guo-qun WANG Wei-dong LI Hui-ping |
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| Abstract: | Based on variational principle for which bou ndary singular kernel met hod is proposed to impose essential boundary conditions, the 2D elastic stiffnes s equation of element free Galerkin method is obtained. In order to calculate th e stresses and strains at singular nodes, a strategy is presented and its validi ty is justified by the following numerical example. Numerical examples also show that the presented method is not only simple and logical but also exhibits very high stability and accuracy. |
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| Keywords: | element free Galerkin method moving least square we ight funct ion essential boundary conditions boundary singular kernel |
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