TITLE:
On the Buckling of Euler Graphene Beams Subject to Axial Compressive Load
AUTHORS:
Mohamed B. M. Elgindi, Dongming Wei, Yeran Soukiassian, Yu Liu
KEYWORDS:
Critical Buckling Load, Graphene, Euler-Bernoulli Beam, Non-Linear Eigenvalue Problem, Shooting Method
JOURNAL NAME:
World Journal of Engineering and Technology,
Vol.2 No.2,
May
27,
2014
ABSTRACT: In this paper, we consider the buckling of an Euler-Bernoulli graphene beam due to an axial compressive load. We formulate the problem as a non-linear (eigenvalue) two-point boundary value problem, prove some properties of the eigenpairs and introduce a suitable numerical shooting method scheme for approximating them. We present the perturbation and the numerical approximations of the first and second buckling loads and the corresponding shapes.