Equivalent-Continuum Modeling With Application to Carbon Nanotubes

作者: Gregory M. Odegard , Thomas S. Gates , Lee M. Nicholson

DOI:

关键词: Representative elementary volumeFlexural rigidityGrapheneContinuum ModelingMechanical properties of carbon nanotubesSolid mechanicsBendingMaterials scienceCarbon nanotubeComposite material

摘要: A method has been proposed for developing structure-property relationships of nano-structured materials. This serves as a link between computational chemistry and solid mechanics by substituting discrete molecular structures with equivalent-continuum models. It shown that this substitution may be accomplished equating the potential energy material strain representative truss continuum As important examples direct application to development characterization singlewalled carbon nanotubes design nanotube-based structural devices, modeling technique applied two independent examples: determination effectivecontinuum geometry bending rigidity graphene sheet. volume element chemical structure substituted equivalent-truss equivalentcontinuum result, an effective thickness model determined. The determined is significantly larger than inter-planar spacing graphite. sheet was subjected cylindrical (to form nanotube) plate bending.

参考文章(46)
Anthony K. Rappé, Carla J. Casewit, Molecular Mechanics Across Chemistry ,(1997)
Brian Kelly, Physics of Graphite ,(1981)
SPTS Woinowsky-Krieger, S Timoshenko, None, THEORY OF PLATES AND SHELLS Engineering Societies Monographs. ,(1959)
A. C. Eringen, LINEAR THEORY OF MICROPOLAR ELASTICITY JOURNAL OF MATHEMATICS AND MECHANICS. ,vol. 15, pp. 909- 923 ,(1965) , 10.21236/AD0473723
D. H. Robertson, D. W. Brenner, J. W. Mintmire, Energetics of Nanoscale Graphitic Tubules Physical Review B. ,vol. 45, pp. 12592- 12595 ,(1992) , 10.1103/PHYSREVB.45.12592
T. Ozaki, Y. Iwasa, T. Mitani, Stiffness of single-walled carbon nanotubes under large strain Physical Review Letters. ,vol. 84, pp. 1712- 1715 ,(2000) , 10.1103/PHYSREVLETT.84.1712
Ahmed K. Noor, Continuum Modeling for Repetitive Lattice Structures Applied Mechanics Reviews. ,vol. 41, pp. 285- 296 ,(1988) , 10.1115/1.3151907
Dirk Bakowies, Walter Thiel, MNDO Study of Large Carbon Clusters Journal of the American Chemical Society. ,vol. 113, pp. 3704- 3714 ,(1991) , 10.1021/JA00010A012
Gregory Van Lier, Christian Van Alsenoy, Vic Van Doren, Paul Geerlings, Ab initio study of the elastic properties of single-walled carbon nanotubes and graphene Chemical Physics Letters. ,vol. 326, pp. 181- 185 ,(2000) , 10.1016/S0009-2614(00)00764-8