BUCKLING ANALYSIS OF A SIMPLY SUPPORTED SINGLE-WALLED CARBON NANOTUBE USING NONLOCAL CONTINUUM MODEL AND LAPLACE TRANSFORM
Using nonlocal continuum model we have obtained expressions for transverse deflection and buckling load for a simply supported single-walled carbon nanotube for different aspect ratios ( ). We used Laplace transform method to calculate results. We found that these results are in good agreement with the exact analytical solution and the small scale coefficient has a noticeable effect on the buckling load of the carbon nanotube (CNT). This shows that Laplace transform method can be used in investigating different boundary problems on CNTs with nonlocal effects.
buckling; nonlocal continuum model; single-walled carbon nanotube; Laplace transform
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