Journal of Nanomedicine & Nanotechnology

Variational formulation and solution for buckling of elastically restrained nonlocal carbon nanotubes under distributed axial loads

7^th World Nano Conference

June 20-21, 2016 Cape Town, South Africa

Mouafo Teifouet Armand Robinson and Sarp Adali

University of KwaZulu-Natal, South Africa
University of Dschang, Cameroon

Posters & Accepted Abstracts: J Nanomed Nanotechnol

Abstract:

The rapid increase of the nanostructureâ??s devices manufacturing requires a careful study of carbon nanotubes (CNT) behavior undergoing buckling, in order to optimize the design of such devices. The aim of the present paper focuses on the study of buckling of the elastically restrained CNTs subjected to concentrated and uniformly distributed loads. That structure is mathematically modelled as nonlocal Euler-Bernoulli beams. Weak formulation of the obtained governing equation is derived and we employ the Chebyshev polynomials-based Rayleigh-Ritz method to solve the eigenvalue equation. By taking particular values of rotational and translational spring constants, boundary conditions are derived and the present obtained buckling load are compared to those existing with good satisfaction. Contour plots show the effect of both nonlocal parameter and spring constants on the behavior of buckling loads. The main observation is that, it depends on the nature (rotational or translational) and values of the spring constants.

Biography :

Mouafo Teifouet Armand Robinson has completed his Msc from University of Dschang, Cameroon and he is currently doing his PhD at the University of Kwazulu-Natal in South Africa under supervision of Professor SARP Adali. He has published 3 papers in reputed journals and has submitted two others.

Email: 213574523@stu.ukzn.ac.za