Equivalent modulus of composites with randomly distributed nanosized ellipsoidal inclusions

The calculation of the equivalent modulus of the particle reinforced composite materials is an important part of composite materials mechanics, and there are two kinds of analytic methods for equivalent modulus. One is bound approaches and the other is direct estimations. This paper improved the methods mentioned above and obtained the local stress field of nano-rotating ellipsoidal inclusion based on the energy equivalence principle. The equivalent modulus of composite materials containing randomly distributed nano-ellipsoidal inclusions was also estimated.