access icon free Buckling analysis of a cantilever single-walled carbon nanotube embedded in an elastic medium with an attached spring

The buckling analysis of a cantilever single-walled carbon nanotube embedded in an elastic medium with an attached spring is researched. The effects of axial compression load, attached spring, small size and surrounding elastic medium are taken into account at the same time. Theoretical formulation is carried out on the basis of the Bernoulli–Euler beam theory in conjunction with Eringen's non-local elasticity theory. Fourier sine series is selected for the simulation of single-walled carbon nanotube deflections. Winkler elastic foundation type is used to simulate the interaction between single-walled carbon nanotube and elastic medium. 2 × 2 coefficient matrix is derived with the aid of applying Stokes’ transformation to corresponding non-local boundary conditions. The critical buckling loads are calculated by using this coefficient matrix. Different validation studies are performed to endorse and corroborate the usefulness of the presented analytical method.

Inspec keywords: nanomechanics; cantilevers; compressibility; elasticity; buckling; Fourier series; single-wall carbon nanotubes

Other keywords: C; coefficient matrix; Eringen nonlocal elasticity theory; nonlocal boundary conditions; Stokes transformation; axial compression load; critical buckling loads; attached spring; Bernoulli-Euler beam theory; buckling analysis; elastic medium; cantilever single-walled carbon nanotube; Winkler elastic foundation; Fourier sine series; single-walled carbon nanotube deflections

Subjects: Elasticity, elastic constants; Deformation, plasticity and creep; Deformation and plasticity; Elasticity and anelasticity

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