Size-Dependent Elastic Moduli of Nanofilms

A semi-continuum model is constructed for the analysis of fcc crystal nanofilms to study the size dependence of the elastic properties. Unlike the classical continuum theory, the current model directly takes the discrete nature in the thickness direction into consideration. In-plane You modulus, and in-plane and outinvestigated with this model and it is found that the values of the elastic moduli ( ratios) depend on the film thickness and approach the bulk value asymptotically.