Developing the mechanical models for nanomaterials

This paper revisits some of the well-known models in the mechanics of structurally heterogeneous media for the purpose of analysing their suitability to describe properties of nanomaterials (nanoparticles and nanocomposites) and their mechanical behaviour including statics, dynamics, stability and fracture. The paper gives an overview of existing knowledge on the nanomaterials and nanotechnologies, with the emphasis on their mechanical properties. A number of the macro-, meso- and micromechanical models are then reviewed and new nanomechanical models are suggested based on the knowledge accumulated within the micromechanics of composite materials. New directions of research in nanomechanics of materials are also pointed out. As an example of application of the developed models, the paper contains results of determination of the effective properties for particular nanocomposites.