Abstract
Cantilever nanobeams subjected to the axial pressure are considered under the assumption that the material behaviour can be modelled with the help of the nonlocal theory of elasticity. The nanobeams and nanocolumns under consideration have rectangular cross section with piecewise constant dimensions and are weakened by crack-like defects at the re-entrant corners of the steps. The critical buckling loads of stepped nanobeams are calculated and the sensitivity of critical loads with respect to crack parameters is studied. Results show the significant effect of crack parameters on the stability of stepped nanobeams. The numerical results are presented with the aid of MATLAB tools and are found to be in a close agreement with the available work in the literature.
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