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This paper aims to study imperfect nanotubes’ buckling behavior made of functionally graded materials with porosity and non-uniform cross-section. The nonlocal strain gradient theory is used to define the size effect in nano-scale, and also new higher order tube model and first-order shear deformation theory are utilized to develop the nanotube's formulation. The results are obtained using the generalized differential quadrature method and are compared to the Timoshenko theory with very satisfying convergence. The boundary conditions are considered as clamped, clamped-simply supported, and also simply supported. The results illustrate the effects of the FG power index, porosity, rates of cross-section change, nonlocal, and strain gradient parameters on the buckling behavior of the FG tapered porous nanotube.

Buckling of functionally graded nonuniform and imperfect nanotube using higher order theory