Elgindi, Mohamed B. M.Wei, DongmingSoukiassian, YeranLiu, Yu2016-11-232016-11-232014Mohamed B. M. Elgindi1, Dongming Wei, Yeran Soukiassian, Yu Liu; 2014; On the Buckling of Euler Graphene Beams Subject to Axial Compressive Load; World Journal of Engineering and Technology; http://nur.nu.edu.kz/handle/123456789/1921http://nur.nu.edu.kz/handle/123456789/1921In 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 shapesenAttribution-NonCommercial-ShareAlike 3.0 United StatesCritical Buckling LoadGrapheneEuler-Bernoulli BeamNon-Linear Eigenvalue ProblemShooting MethodArticle