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

被引：4

作者：

Friedrich, Manuel ^{[1
]}

Mainini, Edoardo ^{[2
]}

Piovano, Paolo ^{[3
]}

Stefanelli, Ulisse ^{[3
,4
]}

机构：

[1] Univ Munster, Appl Math Munster, Einsteinstr 62, D-48149 Munster, Germany

[2] Univ Genoa, Dipartimento Ingn Meccan Energet Gest & Trasporti, Via All Opera Pia 15, I-16145 Genoa, Italy

[3] Univ Vienna, Fac Math, Oskar Morgenstern Pl 1, A-1090 Vienna, Austria

[4] CNR, Ist Matemat Applicata & Tecnol Informat E Magenes, V Ferrata 1, I-27100 Pavia, Italy

来源：

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS | 2019年 / 231卷 / 01期

基金：

奥地利科学基金会;

关键词：

BOND LENGTHS; MECHANICAL-PROPERTIES; YOUNGS MODULUS; SHELL THEORY; C-60; ENERGY; MODEL; SIMULATION; DERIVATION; GEOMETRIES;

D O I：

10.1007/s00205-018-1284-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：465 / 517

页数：53

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