MULTI-SCALE NUMERICAL SIMULATION FOR THE EFFECTIVE MECHANICAL PROPERTIES OF CARBON NANO-TUBE REINFORCED COMPOSITES WITH NANO-MICROSCOPIC INTERFACES

摘要

In this paper,the carbon nano-tube (CNT) with some wrap interface layers is taken as the reinforcement phase in the polymer matrix,and the three-phase multi-scale mathematical homogenization method is used to predict the effective mechanical properties of nano-composites by using the new periodic boundary condition established by the author in previous studies.The effects of ratio of the elastic modulus between interfacial layer and matrix,the numbers of interfacial layers and the volume fractions of interfacial layer on the effective mechanical properties of nano-composites were analyzed in details.The results are beneficial to establish the constitute model for nano-composites with nano-microscopic interfaces.The results are also compared with those calculated by the improved multi-phase Moil-Tanaka method,and the similar change tendency is obtained.