{ "id": "1111.4574", "version": "v1", "published": "2011-11-19T18:15:23.000Z", "updated": "2011-11-19T18:15:23.000Z", "title": "On a Nanoscopically-Informed Shell Theory of Single-Wall Carbon Nanotubes", "authors": [ "Chandrajit Bajaj", "Antonino Favata", "Paolo Podio-Guidugli" ], "categories": [ "cond-mat.mes-hall", "math-ph", "math.MP" ], "abstract": "This paper proposes a bottom-up sequence of modeling steps leading to a nanoscopically informed continuum, and as such macroscopic, theory of single-walled carbon nanotubes (SWCNTs). We provide a description of the geometry of the two most representative types of SWCNTs, armchair (A-) and zigzag (Z-), of their modules and of their elementary bond units. We believe ours to be the simplest shell theory that accounts accurately for the linearly elastic response of both A- and Z- CNTs. In fact, our theory can be shown to fit SWCNTs of whatever chirality; its main novel feature is perhaps the proposition of chirality-dependent concepts of effective thickness and effective radius.", "revisions": [ { "version": "v1", "updated": "2011-11-19T18:15:23.000Z" } ], "analyses": { "keywords": [ "single-wall carbon nanotubes", "nanoscopically-informed shell theory", "main novel feature", "simplest shell theory", "elementary bond units" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2011arXiv1111.4574B" } } }