Corresponding mathematics model was developed , hole - edge stress analysis on composite material plate with multiform holes was carried out , accurate boundary conditions was founded by conformal mapping method , boundary problems of the two stress functions could be treated by affine transformation in the same way synchronously 建立了相应的数学模型，对含不同孔型复合材料板进行了孔边应力分析，通过保角映射方法建立精确的边界条件，解决了复杂孔型的边界条件问题，借助仿射变换能同时并且同方法的处理这两个应力函数在边界上的问题。
Using riemann - schwarz ' s symmetry principle of complex functions , the above problems are transformed into riemann - hilbert boundary problems . by combining the analysis of singularity of complex functions , generalized liouville ' s theorem , cauchy model integral and residue theorem , the general solutions of above problems are presented 创造性运用复变函数解析延拓原理，将上述问题转化为riemann - hilbert边值问题，结合复应力函数奇性主部分析方法、广义liouville定理、 cauchy型积分和留数定理，获得了上述问题的一般解答。
