The elastic modulus of single-wall carbon nanotubes: a continuum analysis incorporating interatomic potentials
P. Zhang, Y. Huang, P. H. Geubelle, P. A. Klein and K. C. Hwang
International Journal of Solids and Structures, 39, 3893–3906 (2002).
P. Zhang, Y. Huang, P. H. Geubelle, P. A. Klein and K. C. Hwang
International Journal of Solids and Structures, 39, 3893–3906 (2002).
ABSTRACT
A nanoscale continuum theory is established to directly incorporate interatomic potentials into a continuum analysis without any parameter fitting. The theory links interatomic potentials and atomic structure of a material to a constitutive model on the continuum level. The theory is applied to study the linear elastic modulus of a single-wall carbon nanotube. The Young's modulus predicted by this nanoscale continuum theory agrees well with prior experimental results and atomistic studies.