Analytical analysis of buckling and post-buckling of fluid conveying multi-walled carbon nanotubes
نویسندگان
چکیده
منابع مشابه
Buckling of Double-walled Carbon Nanotubes
This paper is concerned with the buckling of double-walled carbon nanotubes (DWCNTs) under axial load. The DWCNTs are modelled as two cylindrical shells, one shell nested in the other and Winkler springs are introduced to connect them in order to simulate the van der Waals forces between the two nanotubes. By using the Donnell thin shell theory, we derive the governing equations for the bucklin...
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We use molecular mechanics simulations with the MM3 potential to study instabilities in clampedclamped single-walled carbon nanotubes (SWCNTs) deformed in torsion and axial compression. The following are the two criteria employed to find the critical buckling strain: (i) a sudden drop in the potential energy and (ii) an eigenvalue of the mass weighted Hessian of the deformed configuration becom...
متن کاملnonlocal flügge shell model for the axial buckling of single-walled carbon nanotubes: an analytical approach
in this paper, the stability characteristics of single-walled carbon nanotubes (swcnts) under the action of axial load are investigated. to this end, a nonlocal flügge shell model is developed to accommodate the small length scale effects. the analytical rayleigh-ritz method with beam functions is applied to the variational statement derived from the flügge-type buckling equations. molecular dy...
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ژورنال
عنوان ژورنال: Applied Mathematical Modelling
سال: 2013
ISSN: 0307-904X
DOI: 10.1016/j.apm.2012.09.061