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On the Buckling of Euler Graphene Beams Subject to Axial Compressive Load

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DOI: 10.4236/wjet.2014.22016    2,943 Downloads   4,582 Views   Citations

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.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

Elgindi, M. , Wei, D. , Soukiassian, Y. and Liu, Y. (2014) On the Buckling of Euler Graphene Beams Subject to Axial Compressive Load. World Journal of Engineering and Technology, 2, 149-158. doi: 10.4236/wjet.2014.22016.

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