A novel approach of bending behavior of carbon nanotubes by combining the effects of higher-order boundary conditions and coupling through doublet mechanics

This article presents the bending behavior of carbon nanotubes (CNTs) based on doublet mechanics (DM) and Euler–Bernoulli beam theory to analyze how deflection changes with higher-order boundary conditions and the coupling, which have not been previously investigated. The governing equations and associated boundary conditions are obtained using the principle of minimum potential. Numerical solutions show an important effect of higher-order boundary conditions on the deflection of cantilever CNTs, unlike simply supported CNTs. A paradox in which DM shows a stiffening behavior for cantilever CNTs is resolved using higher-order boundary conditions. The coupling significantly effects the bending behavior of armchair CNTs.