Investigation of the Elastic Effective Compliance for Planar Composites

Based on the Hill's condition and field fluctuation approach, a set of universal differential equations are derived for the shift property of the effective compliances of planar composites in plane stress state. The derived equations are independent of the distribution and the shape of the microstructures. Three types of microstructures are investigated by the numerical method, 2 D composites and voided materials are examined, the results of numerical calculations agree well with the theoretical prediction.