Shell-Like Structures (Eds. H.Altenbach, V.A. Eremeyev), pp. 585-602, Springer-Verlag, 2011


M. Todt1, F.G. Rammerstorfer1, M.A. Hartmann2, O.Paris2, F.D. Fischer3

1Institute of Lightweight Design and Structural Biomechanics,
TU Wien, Vienna, Austria
2Institute for Physics, Montanuniversität Leoben, Leoben, Austria
3Institute of Mechanics, Montanuniversität Leoben, Leoben, Austria

Abstract - In many cases continuum mechanics has proved to be an appropriate method for investigating the mechanical behavior of carbon nanostructures reducing the computational requirements compared to atomistic methods significantly. The main modeling issues arising in continuum mechanics modeling of multi-layer carbon nanostructures are briefly discussed. These issues involve the continuum modeling of (i) the atomic layers, (ii) the covalent interlayer bonds, (iii) the van der Waals interactions, and (iv) the excess surface energy due to curvature. Continuum mechanics methods in conjunction with the finite element method are applied to investigate the compressive behavior of carbon crystallites and a possible growth limit of carbon onions.