Micropolar beam model for nanocrystalline material consisting of linear chains of atoms

A discrete model of a linear chain of atoms has been developed with regard to the noncentral and rotational (moment) interactions between atoms. The transition from a discrete to continuous model is performed. It is shown that the obtained continuous model of a chain of atoms coincides with the model of the applied micropolar beam model. Lagrangians for the discrete and continuous models of linear chains of atoms are constructed.