Abstract:
This work is devoted to the theoretical study of the elastic properties of nanocomposites with an amorphous matrix, taking into account its strong local heterogeneity. The dependence of the stiffness of the nanocomposite on parameters such as the thickness of the amorphous layer, the scale of heterogeneity of the amorphous matrix, the radius of inclusions, and the distance between them is investigated. It is shown that the heterogeneity of the amorphous matrix leads to an increase in its elastic moduli near the interfaces with stiffer layers and inclusions. This results in an increase in the elastic moduli of the composite as a whole, which is determined by the ratio of the heterogeneity length scale of the amorphous matrix to the characteristic geometric size of the composite, which can be either the thickness of the amorphous layer or the radius of the nanoparticles.