| 关于Williams级数收敛性的研究 |
| |
| 引用本文： | 阎相桢,王枨.关于Williams级数收敛性的研究[J].中国石油大学学报(自然科学版),1989(5). |
| |
| 作者姓名： | 阎相桢 王枨 |
| |
| 作者单位： | 石油大学机械系
(阎相桢)，北京科技大学(王枨) |
| |
| 摘 要： | 本文研究一种有限平面边裂纹应力场的精确解,该解答是在收敛域内的级数表示形式,其表达式与Wiiliams 级数表达式完全等同。讨论了Williams级数的收敛性问题,获得了在有限边界特定载荷作用下Williams 级数解相应Ⅰ型和Ⅱ型边裂纹的收敛区域。提出了Williams 级数形式解并不满足整个有限弹性平面的概念,发现 Williams 级数的收敛域与裂纹长度有关。
|
| 关 键 词： | 收敛性 应力强度因子 Williams级数 弹性断裂力学 |
ON THE CONVERGENCY OF THE WILLIAMS SERIES |
| |
| Yan Xinngzhen Wring chetlg.ON THE CONVERGENCY OF THE WILLIAMS SERIES[J].Journal of China University of Petroleum,1989(5). |
| |
| Authors: | Yan Xinngzhen Wring chetlg |
| |
| Institution: | Dept. of Mechanical Eng. |
| |
| Abstract: | All exact solution for a finite plate with an edge crack is studied. The solution is a series expression within the convergent domain, which is found to be identical to the Williams series. The convergency of the Williams Series is discussed, and the convergency area of Williams series solutions responding to two kinds of edge cracks under the action of a specific load is obtained. The convergency area of Williams series is found to bo related to the length of cracks. Williams series solution is not suited to the finite elastic plate. |
| |
| Keywords: | Convergency Stress intensity factors Williams series Elastic fracture mechanics |
| 本文献已被 CNKI 等数据库收录！ |
