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采用线性单元的二维弹性问题边界元法具有计算精度高的优点。但当点力所在结点与单元的端结点重合时,出现了奇异积分问题。本工作提出了解决奇异积分问题的一个方法,编制了二维弹性问题线性单元边界元法程序,并给出了两个算例。算例中讨论了角结点附近面力的处理问题。结果表明,本工作编制的边界元法程序是可靠的。
The two-dimensional elastic boundary element method with linear elements has the advantage of high accuracy. However, when the point where the point force is located coincides with the end node of the unit, the singularity problem arises. This work proposes a method to solve the singular integral problem. The two-dimensional elastic element linear element boundary element method program is developed and two examples are given. The case study of the surface forces near the corner junctions is discussed in the example. The results show that the BEM method developed by this work is reliable.