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Atomistic potentials and the Cauchy-Born rule for carbon nanotubes: a review

2019/09/26 by Manuel Friedrich, Friedrich, Manuel, Edoardo Mainini +3
Chemistry · Materials Science · #82D25 #Carbon Nanotubes in Composites #FOS: Physical sciences #Fullerene Chemistry and Applications #Graphene research and applications #Mathematical Physics (math-ph) #Mesoscale and Nanoscale Physics (cond-mat.mes-hall)

paper · pdf · doi:10.48550/arxiv.1909.12023

openalex publication_date 2019/09/26 · openalex created_date 2019/10/03 · openalex updated_date 2026/07/28

Abstract

Carbon nanotubes are modeled as point particle configurations in the framework of Molecular Mechanics, where interactions are described by means of short range attractive-repulsive potentials. The identification of local energy minimizers yields a variational description for the stability of rolled-up hexagonal-lattice structures. Optimality of periodic configurations is preserved under moderate tension, hence justifying the elastic behavior of carbon nanotubes in the axial traction regime.

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