圆外平面弹性问题的边界积分公式

将边界上的应力函数及其法向导数展开为罗朗级数，与复应力函数的罗朗级数的表达式对比，可以确定罗朗级数的各系数，再利用傅利叶级数和卷积的几个公式进行计算，得到应力函数边界积分公式．通过边界的应力函数及其法向导数的积分，直接得到圆外应力函数值，并给出几个算例，表明结果用于求解单位圆外平面弹性问题十分方便．

Boundary Integral Formula for the Elastic Plane Problem of Exterior Circular Domain

After the stress function and its normal derivative on the boundary for the plane problem of exterior circular domain ate expanded into Laurent series, comparing them with the Laurent series of the complex stress function and making use of some formulas in Fourier series and in the convolutions, the boundary integral formula of the stress function is derived further. Then the stress function can be obtained directly by the integration of the stress function and its normal derivative on the boundary. Some examples are given. It shows that the boundary integral formula of the stress function is convenient to be used for solving the elastic plane problem of exterior circular domain.