TY - JOUR
T1 - Sanders shell model for buckling of single-walled carbon nanotubes with small aspect ratio
AU - Silvestre, N.
AU - Wang, C. M.
AU - Zhang, Y. Y.
AU - Xiang, Y.
PY - 2011
Y1 - 2011
N2 - In this paper, the buckling behaviour of single-walled carbon nanotubes (CNTs) is revisited by resorting to Donnell and Sanders shell models, which are put in parallel and shown to lead to very distinct results for CNTs with small aspect ratio (length-to-diameter). This paper demonstrates inability of the widely used Donnell shell theory while it shows the validity and accuracy of the Sanders shell theory in reproducing buckling strains and mode shapes of axially compressed CNTs with small aspect ratios. The results obtained by the later shell theory are close to molecular dynamics simulation results. The Sanders shell theory could capture correctly the length-dependent buckling strains of CNTs which the Donnell shell theory fails to achieve. In view of this study, researchers should adopt the Sanders thin shell theory from hereon instead of the Donnell theory when analyzing CNTs with small aspect ratios.
AB - In this paper, the buckling behaviour of single-walled carbon nanotubes (CNTs) is revisited by resorting to Donnell and Sanders shell models, which are put in parallel and shown to lead to very distinct results for CNTs with small aspect ratio (length-to-diameter). This paper demonstrates inability of the widely used Donnell shell theory while it shows the validity and accuracy of the Sanders shell theory in reproducing buckling strains and mode shapes of axially compressed CNTs with small aspect ratios. The results obtained by the later shell theory are close to molecular dynamics simulation results. The Sanders shell theory could capture correctly the length-dependent buckling strains of CNTs which the Donnell shell theory fails to achieve. In view of this study, researchers should adopt the Sanders thin shell theory from hereon instead of the Donnell theory when analyzing CNTs with small aspect ratios.
UR - http://handle.uws.edu.au:8081/1959.7/536688
U2 - 10.1016/j.compstruct.2011.01.004
DO - 10.1016/j.compstruct.2011.01.004
M3 - Article
SN - 0263-8223
VL - 93
SP - 1683
EP - 1691
JO - Composite Structures
JF - Composite Structures
IS - 7
ER -