Prediction of the Effective Elastic Moduli of the Nanoparticle-Reinforced Polymer Matrix Composites Considering Interface Effects

Based on the analysis of the interaction of the nano-particles and the matrix interface layer, assuming when the elastic properties of the interface layer change the total energy difference arising from it transfer to the nanoparticle surface, the effective elastic moduli of the nanoparticles with interface equilibrium can be obtained. Using the traditional continuum micromechanics approach, the effective modulus tensor and effective elastic moduli of spherical nanoparticles reinforced polymer matrix composite considering the interface layer effects of nanoparticles – matrix is predicted, and the effects of the volume fraction (mass fraction), the average particle size of nanoparticles and interface layer structural parameters and elastic properties to effective elastic moduli of composite materials is discussed