Atomistic potentials and the cauchy-born rule for carbon nanotubes: A review

Mainini E, Piovano P, Friedrich M (2019)


Publication Type: Journal article, Review article

Publication year: 2019

Journal

Book Volume: 77

Pages Range: 79-98

Journal Issue: 2

Abstract

Carbon nanotubes are modeled as point particle configurations in the framework of Molecular Mechanics, where interactions are described by means of short range attractiverepulsive 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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APA:

Mainini, E., Piovano, P., & Friedrich, M. (2019). Atomistic potentials and the cauchy-born rule for carbon nanotubes: A review. Rendiconti del Seminario Matematico, 77(2), 79-98.

MLA:

Mainini, Edoardo, Paolo Piovano, and Manuel Friedrich. "Atomistic potentials and the cauchy-born rule for carbon nanotubes: A review." Rendiconti del Seminario Matematico 77.2 (2019): 79-98.

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