A Study of Longitudinal Magnetic Field Effect on Critical Buckling Loads of SWCNT Embedded in Kerr Medium Using Nonlocal Euler–Bernoulli Theory
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Abstract
Abstract This work investigates the effect of a longitudinal magnetic field on the mechanical buckling of a single-walled carbon nanotube (SWCNT) integrated in an elastic Kerr medium. The structure is assumed to be homogeneous and therefore modeled using a nonlocal Euler–Bernoulli theory (NL-EBT). The present model targets thin structures and takes into account the small-scale effect. The elastic matrix is described by the Kerr model, which takes into account the normal pressure and the transverse shear strain. Using the nonlocal elasticity theory and considering the Lorentz magnetic force obtained from Maxwell relations, the stability equation for buckling analysis of a simply supported SWCNT under a longitudinal magnetic field is derived. The governing equations of the system are determined via the virtual work model and resolved by Navier’s method. The obtained results are compared with those found in the literature. It can be observed that the effects of the magnetic field, nonlocal parameter, lower spring parameter Kw, upper spring parameter Kc, and intermediate shear layer parameter KG are significant and must be taken into account for this kind of analysis.
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Research context
OpenAlex topics: Nonlocal and gradient elasticity in micro/nano structures · Carbon Nanotubes in Composites · Mechanical and Optical Resonators
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References (70)
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