Stress calculation in a composite plate by complex function and numerical method

On the basis of anisotropic mathematical and elastic theory, the complex stress functions phi1(z1) and phi2(z2) are respectively expanded into Taylor series in the regions of z1 and z2 planes. The boundary collocation method is used to determine the coefficients of the series. Then, the stress field of a single-connected composite plate loaded by inplane loads can be calculated. Two examples are given, the effects of the number of stress function terms and the boundary points on calculative results are discussed. It is shown that this method is very convenient and precise to handle single-connected linear-elastic plane problems.