Effective moduli of nanoparticle reinforced composites considering interphase effect by extended double-inclusion model - Theory and explicit expressions

摘要

In this work, an extended double-inclusion model incorporating finite matrix volume fraction is derived by the method of Eshelby's equivalent inclusion and Mori-Tanaka's average theory, which can be used to predict overall mechanical properties of nanocomposites considering particle/matrix interphase effects. For convenience of engineering applications, the explicit expressions of the effective elastic moduli for composites with distributions of unidirectionally aligned, three- and two-dimension randomly oriented spheroidal particles, respectively, are obtained. The results can be used to predict effective properties of nanocomposites including interphase effects.