摘要
本文讨论了r^1型及lnr型二维域奇异积分的解析计算。对多项式荷载给出了域奇异积分的正确公式。而对于一般荷载,利用泰勒展开化为多项式荷载进行积分,并给出了积分误差估计。计算结果表明,本文方法是有效的。
In this paper, the analytic calculation of r-1 type and 1nr type singular integrals over two-dimensional domain is discussed. The exact formulae of domain singular integrals for loads in polynomial form are given. For loads in general form, change it into polynomial loads by use of Taylor's development and integrate it. Integral error estimations are also given. Calculating results demonstrate that the method in this paper is effective.