HOMOGENIZATION METHOD OF STRESS ANALYSIS OF COMPOSITE STRUCTURES
复合材料应力分析的均匀化方法

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 homogenization problem, from which the displacements included the effective displacement and the first order perturbation, are deter min ed. The stress fields are obtained by these displacements. Finally, the stress distributions of structures composed of circular cylindrical porous or/and unidirectional fiber reinforced composites are given. The resuits show that the method is reliable and effective.