Wave propagation in elastic media with nanostructures

Accurately understanding and describing the high-frequency dynamic properties of elastic media with nanostructures are fundamental concerns and challenging problems in designing and predicting performance of nano-devices. The use of molecular dynamics (MD) to model and analyze the properties of nanostructured materials is very heavy on computing time. The goal of this paper is to develop a multiscale continuum theory for the analysis of wave propagation in the elastic media with nanostructures. The key step in this approach is the establishment of a relationship between the local kinematics and the global continuum variables. The model is capable of accounting for local deformation of nanostructures.