Effective local elastic moduli of a strongly disordered medium

Abstract

The local elastic properties of amorphous solids are investigated using the theory of correlated random matrices. A significant increase in stiffness is shown in the interfacial region, which characteristic thickness depends on the strength of disorder. The studied interfacial effect increases the influence of nanoparticles on the macroscopic stiffness of nanocomposites. The obtained thickness of the interfacial region has the same order as the length scale of the boson peak.