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. Buckling of elastically restrained carbon nanotubes is studied subject to acombination of uniformly distributed and concentrated compressive loads.Governing equations are based on the nonlocal model of carbon nanotubes. Weakformulation of the problem is formulated and the Rayleigh quotients areobtained for distributed and concentrated axial loads. Numerical solutionsare obtained by Rayleigh–Ritz method using orthogonal Chebyshev polynomials.The method of solution is verified by checking against results available inthe literature. The effect of the elastic restraints on the buckling load isstudied by counter plots in term of small-scale parameter and the springconstants.

Buckling of elastically restrained nonlocal carbon nanotubes under concentrated and uniformly distributed axial loads