Characterization of Optimal Carbon Nanotubes Under Stretching and Validation of the Cauchy–Born Rule

Friedrich M, Mainini E, Piovano P, Stefanelli U (2019)

Publication Type: Journal article

Publication year: 2019

Journal

Archive for Rational Mechanics and Analysis Springer Verlag (Germany)

Book Volume: 231

Pages Range: 465-517

Journal Issue: 1

DOI: 10.1007/s00205-018-1284-7

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.

Authors with CRIS profile

Manuel Friedrich

Involved external institutions

Westfälische Wilhelms-Universität (WWU) Münster DE Germany (DE) University of Genova / Università degli Studi di Genova IT Italy (IT) Universität Wien / University of Vienna AT Austria (AT)

How to cite

APA:

Friedrich, M., Mainini, E., Piovano, P., & Stefanelli, U. (2019). Characterization of Optimal Carbon Nanotubes Under Stretching and Validation of the Cauchy–Born Rule. Archive for Rational Mechanics and Analysis, 231(1), 465-517. https://doi.org/10.1007/s00205-018-1284-7

MLA:

Friedrich, Manuel, et al. "Characterization of Optimal Carbon Nanotubes Under Stretching and Validation of the Cauchy–Born Rule." Archive for Rational Mechanics and Analysis 231.1 (2019): 465-517.

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