Abstract: On the basis of mathematical elastic theory, the stress functions of multiplecomplex variables are derived in an infinite multiply-connecied plate by using ,nultipleconformal represeniations. The funciions are developed in Fou ries series on unit circles,the unknown coefficients of the functions are deiermined by cornparing coefficientmethod, then the stresses in the plaie can be calculaied. A plate conlaining multipleelliptical hofes is discussed, the corresponding FORTRAN77 program is finished. Twoexamples are given, they show that this method is very effective and convenient.

Key words: geodesic precession, (Ω,A_ab)-field, Schwarzschild field, holes, plate, stress calculation, analytical method