## 留言板

 引用本文: 苗雨, 王元汉. 三维弹性问题无网格分析的奇异杂交边界点方法[J]. 应用数学和力学, 2006, 27(5): 597-604.
MIAO Yu, WANG Yuan-han. Meshless Analysis for Three-Dimensional Elasticity With Singular Hybrid Boundary Node Method[J]. Applied Mathematics and Mechanics, 2006, 27(5): 597-604.
 Citation: MIAO Yu, WANG Yuan-han. Meshless Analysis for Three-Dimensional Elasticity With Singular Hybrid Boundary Node Method[J]. Applied Mathematics and Mechanics, 2006, 27(5): 597-604.

• 中图分类号: O241

## Meshless Analysis for Three-Dimensional Elasticity With Singular Hybrid Boundary Node Method

• 摘要: 提出了一种求解三维线弹性问题的奇异杂交边界点方法．将修正变分原理与移动最小二乘法结合起来，利用了前者的降维优势和后者的无网格特性．使用刚体位移法处理方法中的强奇异积分，提出了一种自适应的积分方案，解决了原有的杂交边界点方法中存在的“边界层效应”．在该方法中，将基本解的源点直接布在边界上，避免了在正则化杂交边界点法中不确定参数的选取．三维弹性力学问题算例体现了这些特点．结果表明该方法与已知的精确解符合较好，同时研究了影响该方法精度的一些参数．
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##### 出版历程
• 收稿日期:  2004-12-03
• 修回日期:  2006-02-10
• 刊出日期:  2006-05-15

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