Characterization of Optimal Carbon Nanotubes Under Stretching and Validation of the Cauchy-Born Rule.
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| Title: | Characterization of Optimal Carbon Nanotubes Under Stretching and Validation of the Cauchy-Born Rule. |
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| 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] |
| Copyright of Archive for Rational Mechanics & Analysis is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
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| Header | DbId: egs DbLabel: Engineering Source An: 133800564 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1007/s00205-018-1284-7 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 53 StartPage: 465 Subjects: – SubjectFull: Graphene Type: general – SubjectFull: Cauchy transform Type: general – SubjectFull: Carbon nanotubes Type: general – SubjectFull: Thermal conductivity Type: general – SubjectFull: Mechanical behavior of materials Type: general Titles: – TitleFull: Characterization of Optimal Carbon Nanotubes Under Stretching and Validation of the Cauchy-Born Rule. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Friedrich, Manuel – PersonEntity: Name: NameFull: Mainini, Edoardo – PersonEntity: Name: NameFull: Piovano, Paolo – PersonEntity: Name: NameFull: Stefanelli, Ulisse IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 01 Text: Jan2019 Type: published Y: 2019 Identifiers: – Type: issn-print Value: 00039527 Numbering: – Type: volume Value: 231 – Type: issue Value: 1 Titles: – TitleFull: Archive for Rational Mechanics & Analysis Type: main |
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