Abstract: This paper puts forward the effective elastic modulus definition of composite materials based on equivalent energy principle for the first time. By the small parameter gradual homogenization theory , deducing the equivalent elastic tensor of composite laminated plate and by combining with finite element method (FEM) to establish a multi-scale model of composite laminated plate, we could predict the macroscopic effective elastic modulus of carbon nanotubes and nanofilm laminated composite material. By the homogenization method to obtain macro average of elastic modulus, and put it in the commercial software ANSYS system, coupled with two scales of the macro and micro, we could analysis the equivalent elastic performance of composite laminated plate. The conclusions are of significance for guiding the preparation of new composites.

Key words: composite laminated plate, homogenization, finite element, carbon nanotubes, nanometer thin layer