Bibliographic Details
| Title: |
Characterization of Optimal Carbon Nanotubes Under Stretching and Validation of the Cauchy-Born Rule. |
| Authors: |
Friedrich, Manuel1 manuel.friedrich@uni-muenster.de, Mainini, Edoardo2 mainini@dime.unige.it, Piovano, Paolo3 paolo.piovano@univie.ac.at, Stefanelli, Ulisse3,4 ulisse.stefanelli@univie.ac.at |
| Source: |
Archive for Rational Mechanics & Analysis. Jan2019, Vol. 231 Issue 1, p465-517. 53p. |
| Subjects: |
Graphene, Cauchy transform, Carbon nanotubes, Thermal conductivity, Mechanical behavior of materials |
| 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. [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |
