所求问题归结为求解复应力函数的边值问题，并给出了封闭形式的解。

The elastic equilibrium is reduced to solve some Rimann boundary value problem and the solution in closed form is given.

youdao

把平面问题的物理量和基本方程全部改写为复数形式，从平衡方程出发引入了复应力函数。

All of the physical quantities and basic equations of plane problem are expressed in terms of complex variable form. From the equilibrium equations, the complex stress functions are introduced.

youdao

笔者通过适当的函数分解和积分变换，将寻求复应力函数的问题转化为求解一正则型奇异积分方程，并借助积分方程理论给出了方程的求解方法。

Using proper decomposition of the functions and integral transformation, the problem is reduced to a singular integral equation, whose solution is given of the theory of integral equation.

youdao