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


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Abstract

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.

About the authors

S. H. Sargsyan

Gyumri State Pedagogical Institute after M. Nalbandyan

Author for correspondence.
Email: s_sargsyan@yahoo.com
Armenia, Gyumri, 3126

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