Exploring the effect of axial magnetic fields on the thermal stability of SWBNNTs resting on elastic medium using the N-TBT

This work investigates the thermal stability behavior of zigzag SWBNNTs (single-walled boron nitride) nanotubes subjected to a longitudinal magnetic field and resting on Winkler foundation. Utilizing a nonlocal Timoshenko beam theory (N-TBT), the study incorporates both small-scale effects and transverse shear deformation. By leveraging nonlocal elasticity and the force of Lorentz magnetic derived from Maxwell’s equations, the buckling stability equation of simply supported SWBNNTs is derived, leading to a closed-form solution for the nondimensional critical buckling temperature. The influences of various parameters, including the nonlocal parameter, Winkler foundation modulus, length-to-diameter ratio, transverse shear deformation, and rotary inertia, are systematically examined under the combined influence of thermal and magnetic fields. These insights offer valuable guidance for developing the next generation of nanodevices that leverage the thermal buckling properties of boron nitride nanotubes.