Titel
Characterization of Optimal Carbon Nanotubes Under Stretching and Validation of the Cauchy–Born Rule
Autor*in
Manuel Friedrich
Applied Mathematics Münster, University of Münster
Autor*in
Edoardo Mainini
Dipartimento di Ingegneria Meccanica, Energetica, Gestionale e dei Trasporti (DIME), Università degli Studi di Genova
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Abstract
Carbon nanotubes are modeled as point configurations and investigated by minimizing configurational energies including two- and three-body interactions. Optimal configurations are identified with local minima and their fine geometry is fully characterized in terms of lower-dimensional problems. Under moderate tension, we prove the existence of periodic local minimizers, which indeed validates the so-called Cauchy–Born rule in this setting.
Objekt-Typ
Sprache
Englisch [eng]
Persistent identifier
https://phaidra.univie.ac.at/o:956885
Erschienen in
Titel
Archive for Rational Mechanics and Analysis
Band
231
Ausgabe
1
Seitenanfang
465
Seitenende
517
Verlag
Springer Nature
Projektnummer
M 1733-N20 – Austrian Science Fund (FWF)
Projektnummer
P 29681 – Austrian Science Fund (FWF)
Projektnummer
MA16-005 – Vienna Science and Technology Fund (WWTF)
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Erscheinungsdatum
2018
Zugänglichkeit
Rechteangabe
© The Author(s) 2018

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