CALCULATION OF STRESSES IN A MULTIPLY-CONNECTED ANISOTROPIC PLATE USING STRESS FUNCTIONS OF MULTIPLE COMPLEX VARIABLES

摘要

On the basis of anisotropic mathematical elasticity,using multiple conformal representations,the stress functions of multiple complex variables for an infinite multiply-connected anisotropic plate are de-rived.The functions are developed in Fourier series on unit circles,and the unknown coefficients of thefunctions are determined by undetermined coefficients method.Then the stresses in the plate can be calcu-lated.A plate containing multiple elliptical holes or cracks is discussed,and the corresponding FORTRAN77program is developed.Five examples are given.The results show that this method is very effective and convenient.