Mechanical behavior of a single-walled carbon nanotube embedded in an elastic medium and using the RMVT-based nonlocal Euler-Bernoulli beam theory

Abstract

A Reissner’s mixed variational theorem (RMVT)-based nonlocal Euler-Bernoulli beam theory (EBT) is developed for the bending free vibration and buckling analyses of a single-layered nanobeam (SLNB) (or a single-walled carbon nanotube SWCNT) embedded in an elastic medium and with combinations of simply-supported and clamped edges The interaction effect between the SLNB/SWCNT and its surrounding elastic medium is simulated using either a Winkler or a Pasternak foundation model The SLNB/SWCNT’s equations of motion and the associated possible boundary conditions are derived by using Hamilton’s principle combined with Eringen’s nonlocal constitutive relations A meshless collocation method is applied to obtain the deflection and stress-resultant components induced in a loaded SLNB/SWCNT frequency parameters of an unloaded SLNB/SWCNT and critical load parameters of an axially-loaded one in which a differential reproducing kernel interpolation method is used to construct the shape functions of each field variable

Date of Award	2015 Jul 21
Original language	English
Supervisor	Chih-Ping Wu (Supervisor)