A self-consistent model of laminated composites was constructed. In the model, macroscopic and microscopic stress and strain were divided into two parts, one was In-plane part and the other was Out-of-plane part, then the stiffness and compliance matrices could be partitioned. By using the definitions of macroscopic stress and strain and perfect interface condition, one could get the analytical expressions of macroscopic stiffness and compliance of two-layer composites. Macroscopic stiffness and compliance of multilayer composites could be gotten based on the analytical expressions. The reciprocal property of the stiffness and compliance matrices could be proved by numerical tests and theoretical analysis.
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