中文摘要：

通过复变函数法结合浆特卡罗方法计算椭圆柱体扭转刚度问题的解析解，该结果与通过计算共轭函数、翘曲函数的方法所得结果是一致的，计算椭圆环体的扭转刚度，经过退化，得到椭圆内含有连接两焦点的直裂纹的截面杆的刚度，这对于进一步研究复杂的带有裂纹或孔洞的柱体扭转问题，具有一定的理论意义和实际意义．

英文摘要：

By using complex variable function method and Monte Carlo method, analytic solution of prob- lem of torsion rigidity of elliptic cylinder was evaluated and its result was consistent with that of computa- tion of conjugate function and warping function. In addition, the torsion rigidity of cylinder with elliptic- ring section was computed, also. By means of degeneration of its solution, the rigidity of elliptic cylinder with a crack on its section, which is formed by linking the two focal points was obtained. It was not only of theoretical interest but also exhibits practical inder with cracks or holes on its section. importance for investigation of the torsion of complex cyl-