| 弹性力学中一种新的边界轮廓法 |
| |
| 引用本文： | 周慎杰,曹志远.弹性力学中一种新的边界轮廓法[J].固体力学学报,1999,20(4):335-342. |
| |
| 作者姓名： | 周慎杰 曹志远 |
| |
| 作者单位： | [1]山东工业大学化学工程系 [2]同济大学工程力学系 |
| |
| 基金项目： | 山东省自然科学基金!( 批准号: Q95A0202) |
| |
| 摘 要： | 利用基本解的特性，将面力积分方程化成仅含有Ｃａｕｃｈｙ主值积分的形式，基于这种边界积分方程，提出了一种新的边界轮廓法，对于三维问题，该方法只须计算沿边界单元界线的线积分，对二维问题，则只需计算边界单元两点的热函数之差，无须进行数值积分计算，实例计算说明该方法是有效的。
|
| 关 键 词： | 边界元法 边界轮廓法 弹性力学 |
A NEW BOUNDARY CONTOUR METHOD FOR LINEAR ELASTICITY |
| |
| Zhou Shenjie,Cao Zhiyuan,Sun Shuxun.A NEW BOUNDARY CONTOUR METHOD FOR LINEAR ELASTICITY[J].Acta Mechnica Solida Sinica,1999,20(4):335-342. |
| |
| Authors: | Zhou Shenjie Cao Zhiyuan Sun Shuxun |
| |
| Institution: | Zhou Shenjie 1 Cao Zhiyuan 2 Sun Shuxun 1 |
| |
| Abstract: | Presents a new boundary contour method. This method is based on the traction boundary integral equation. The hypersingular traction boundary integral equation with a strongly singular form is derived. The formulations of the boundary contour method based on this equation is derived for linear elasticity. The implementation for two dimensional problems with quadratic boundary elements is presented. Numerical solutions for illustrative examples are compared with analytical solutions. Numerical results are uniformly accurate. |
| |
| Keywords: | boundary element method boundary contour method traction boundary integral equation |
| 本文献已被 CNKI 维普 等数据库收录！ |
