ABSTRACT
This chapter presents continuum mechanics solutions, a finite element algorithm, and an atomic-scale finite element procedure for modeling of self-positioning nanostructures taking into account their anisotropic properties. Self-positioning is a phenomenon that occurs in structures which are subjected to a strain/stress imbalance. Multilayer thin films consisting of different materials are rolled up and form nanohinges and nanotubes. Fabrication of nanoscale structures has attracted substantial attention for several years. However, fabrication and manipulation of nanoscale structures are usually difficult to control. In the rolled-up structures, the main structural parameter of interest is the radius of curvature because the final shape and strains in the equilibrium state can be expressed through this parameter according to the continuum mechanics theory. Since rolled-up nanostructures were introduced researchers investigated their properties and some ways for development of practical applications. Continuum mechanics solutions are derived under the ordinary and the generalized plane strain conditions taking into account material anisotropy.
