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This paper studies the buckling problem of nanowires (NWs) and carbon nanotubes (CNTs) freely standing on a substrate and subjected to distributed axial loads. NWs and CNTs are modeled as elastic nanocolumns and due to their high Young's modulus, the substrate is reasonably considered as an elastic foundation. The junction between the nanocolumn and substrate is described by a rotational spring. A...
The behavior of transverse waves propagating in carbon nanotubes (CNTs) in a free space and in an elastic matrix is investigated. The CNTs are modeled as Timoshenko beams of hybrid gradient elasticity theory and the elastic matrix is modeled as a bi-parameter Pasternak foundation. A governing equation with two scale factors is derived for Timoshenko beams where shear deformation and rotary inertia...
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