Abstract: A homogenization method has been presented for deter min ing the stress distributions of composite structures. In this method, the composite structures are depicted by a homogeneous macrostructure and a heterogeneous microstructure. All quantities are expressed as functions of microscopic coordinates and macroscopic coordinates, and expanded into asymptotic series. Based on the perturbation method, the stress analysis problem leads to a microscopic homogenization problem and a macroscopic homogenizati...